TSTP Solution File: SCT061-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT061-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 21:00:55 EDT 2022
% Result : Unsatisfiable 0.94s 1.37s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SCT061-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jul 2 06:24:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.89/1.31 *** allocated 10000 integers for termspace/termends
% 0.89/1.31 *** allocated 10000 integers for clauses
% 0.89/1.31 *** allocated 10000 integers for justifications
% 0.89/1.31 *** allocated 15000 integers for termspace/termends
% 0.89/1.31 *** allocated 22500 integers for termspace/termends
% 0.89/1.31 Bliksem 1.12
% 0.89/1.31
% 0.89/1.31
% 0.89/1.31 Automatic Strategy Selection
% 0.89/1.31
% 0.89/1.31 Clauses:
% 0.89/1.31 [
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Product__Type_OSigma'( W,
% 0.89/1.31 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.89/1.31 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.89/1.31 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.31 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.89/1.31 ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ), 'c_Product__Type_OSigma'(
% 0.89/1.31 X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.89/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U,
% 0.89/1.31 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_in'( W, T, U ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_in'( W, Y, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.89/1.31 ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.89/1.31 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.31 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.89/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.89/1.31 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.89/1.31 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.89/1.31 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.89/1.31 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.89/1.31 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.89/1.31 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.89/1.31 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'(
% 0.89/1.31 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ),
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.89/1.31 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.89/1.31 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.89/1.31 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.89/1.31 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ],
% 0.89/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.89/1.31 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), Y ) ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.31 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.31 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.31 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.89/1.31 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.31 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.31 ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.31 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.89/1.31 X, X ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.89/1.31 'tc_prod'( Z, Z ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X, Y, Z ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T, Z ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.89/1.31 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.89/1.31 , T ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'( T, X, Z ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), 'c_in'( Y, X
% 0.89/1.31 , T ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_in'( T, X
% 0.89/1.31 , Z ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.31 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_Orel__comp'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.89/1.31 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, Z, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.89/1.31 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, Z, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.89/1.31 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.89/1.31 't_a', 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.89/1.31 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.89/1.31 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.89/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.31 T, 'tc_bool' ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.89/1.31 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.89/1.31 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.89/1.31 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.31 [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U,
% 0.89/1.31 W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y, Z, T, U, W
% 0.89/1.31 ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ), 'c_Recdef_Ocut'( Y, Z, T,
% 0.89/1.31 U, W ) ) ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.31 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.89/1.31 , T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'( X, Y
% 0.89/1.31 , T ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.31 ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_lessequals'( T, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' )
% 0.89/1.31 ), Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.89/1.31 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X
% 0.89/1.31 ), ~( 'c_Wellfounded_Oacyclic'( Y, X ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Oacyclic'( hAPP(
% 0.89/1.31 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.89/1.31 , 'c_Relation_OField'( Y, X ) ) ],
% 0.89/1.31 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.89/1.31 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.89/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'(
% 0.89/1.31 T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z
% 0.89/1.31 , Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.31 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.31 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.31 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.89/1.31 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.89/1.31 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.89/1.31 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.31 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.31 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.31 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.89/1.31 ), 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.89/1.31 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.89/1.31 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ],
% 0.89/1.31 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.89/1.31 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.89/1.31 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.89/1.31 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.89/1.31 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.31 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_in'( X
% 0.89/1.31 , T, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.89/1.31 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.89/1.31 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.89/1.31 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( hAPP(
% 0.89/1.31 'c_Relation_Oconverse'( T, U ), X ), U, T ) ) ],
% 0.89/1.31 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.89/1.31 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.89/1.31 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ), X ) ],
% 0.89/1.31 [ =( 'c_Relation_OField'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.89/1.31 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.31 Y, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 T, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.31 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.31 Y, X ), Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.31 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.31 T, X ), Z, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.31 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.31 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.31 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.89/1.31 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.31 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.31 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.31 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.31 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 0.89/1.31 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.89/1.31 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.31 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.89/1.31 hAPP( X, T ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.31 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.31 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.89/1.31 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'(
% 0.89/1.31 Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ),
% 0.89/1.31 ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ],
% 0.89/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.31 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.89/1.31 X, Z, T, U ),
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.89/1.31 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , U ), 'tc_prod'( U, U ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.89/1.31 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.89/1.31 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'( T, U ) ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ), ~(
% 0.89/1.31 'c_Relation_Osingle__valued'( W, T, U ) ) ],
% 0.89/1.31 [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.89/1.31 U ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.31 ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) )
% 0.89/1.31 , ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z
% 0.89/1.31 ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.89/1.31 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.89/1.31 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.89/1.31 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.89/1.31 'tc_bool' ) ), Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.89/1.31 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.31 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.89/1.31 ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.31 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.89/1.31 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.89/1.31 'tc_bool' ) ), Y ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.89/1.31 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.89/1.31 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.89/1.31 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.89/1.31 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.89/1.31 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.89/1.31 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.89/1.31 ), ~( 'c_in'( T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), 'c_in'( 'c_Pair'( X, T, Y, Y )
% 0.89/1.31 , Z, 'tc_prod'( Y, Y ) ) ],
% 0.89/1.31 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.89/1.31 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.89/1.31 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.89/1.31 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.89/1.31 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.89/1.31 'c_Relation_Oconverse'( X, X ), Y ), 'c_Transitive__Closure_Ortrancl'( Y
% 0.89/1.31 , X ), 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ),
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.89/1.31 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, X, X ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Y, X ), 'tc_prod'( X, X ) ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), ~( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_Relation_Oantisym'( X, Z ) ),
% 0.89/1.31 ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z ) ), =( Y, T
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ) ),
% 0.89/1.31 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ), Y ),
% 0.89/1.31 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'( X, Y, Z, T
% 0.89/1.31 , U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T, U ),
% 0.89/1.31 'tc_prod'( T, U ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.89/1.31 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
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% 0.89/1.31 ],
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% 0.89/1.31 ) ) ],
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% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.89/1.31 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.89/1.31 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
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% 0.89/1.31 ) ],
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% 0.89/1.31 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.89/1.31 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
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% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, T, U ), U
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% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U ), U, U ), T,
% 0.89/1.31 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U, U ), T,
% 0.89/1.31 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T, U ), U, U ),
% 0.89/1.31 T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ],
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% 0.89/1.31 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
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% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z,
% 0.89/1.31 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Otrancl'( Z
% 0.89/1.31 , Y ), 'tc_prod'( Y, Y ) ) ), ~( 'c_Wellfounded_Oacyclic'( Z, Y ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
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% 0.89/1.31 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.89/1.31 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ],
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% 0.89/1.31 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
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% 0.89/1.31 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.89/1.31 'tc_prod'( T, T ) ) ) ],
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% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X
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% 0.89/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'(
% 0.89/1.31 'c_Pair'( X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a'
% 0.89/1.31 ), 'tc_prod'( 't_a', 't_a' ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( Y,
% 0.89/1.31 U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
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% 0.89/1.31 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'( U,
% 0.89/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.89/1.31 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.31 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.89/1.31 Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
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% 0.89/1.31 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.89/1.31 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.89/1.31 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.89/1.31 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'(
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% 0.89/1.31 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), 'c_in'(
% 0.89/1.31 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U ), Y, T ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~(
% 0.89/1.31 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U )
% 0.89/1.31 ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ) ),
% 0.89/1.31 U ) ) ],
% 0.89/1.31 [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~( 'c_in'( X,
% 0.89/1.31 'c_FuncSet_OPi'( U, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), W ), W, T ),
% 0.89/1.31 'tc_fun'( W, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U ) ), ~(
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% 0.89/1.31 ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U )
% 0.89/1.31 ), U ) ) ],
% 0.89/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.89/1.31 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.89/1.31 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.89/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.89/1.31 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X, Y, Z ), X,
% 0.89/1.31 Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( X, 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X,
% 0.89/1.31 Z ), 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U )
% 0.89/1.31 ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, W, Y, Z
% 0.89/1.31 , T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ],
% 0.89/1.31 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.31 ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.89/1.31 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.89/1.31 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ), Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X
% 0.89/1.31 ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ), Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ), Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X
% 0.89/1.31 ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ), Y ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ), ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'(
% 0.89/1.31 X ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ) ],
% 0.89/1.31 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 , 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.89/1.31 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.31 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ), 'tc_prod'(
% 0.89/1.31 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.31 ],
% 0.89/1.31 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.89/1.31 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.89/1.31 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.89/1.31 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( hAPP(
% 0.89/1.31 'c_Relation_Oconverse'( Y, Y ), X ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y
% 0.89/1.31 , Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.89/1.31 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.31 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Oacyclic'(
% 0.89/1.31 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ]
% 0.89/1.31 ,
% 0.89/1.31 [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.89/1.31 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.31 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.89/1.31 'c_Wellfounded_Oacyclic'( T, Z ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.89/1.31 ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'( Y,
% 0.89/1.31 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.89/1.31 T ) ) ],
% 0.89/1.31 [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.89/1.31 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.89/1.31 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.89/1.31 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.89/1.31 Z ) ) ],
% 0.89/1.31 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.31 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.89/1.31 , Z ) ) ],
% 0.89/1.31 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.89/1.31 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.89/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.89/1.31 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.89/1.31 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.89/1.31 , X, 'tc_prod'( Z, Z ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.89/1.31 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ 'c_in'( 'c_Pair'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.89/1.31 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.89/1.31 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.31 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.89/1.31 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.89/1.31 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.89/1.32 , T ), T ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.89/1.32 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.32 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.89/1.32 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X
% 0.89/1.32 , Y, Z ), 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y,
% 0.89/1.32 'c_Wellfounded_Oacc'( X, Z ), Z ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.89/1.32 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.89/1.32 , T ), T ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.32 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.89/1.32 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T
% 0.89/1.32 , U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U )
% 0.89/1.32 , X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.89/1.32 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z )
% 0.89/1.32 , X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X,
% 0.89/1.32 Y, Z ), X, Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) )
% 0.89/1.32 ],
% 0.89/1.32 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'( 'c_Pair'( Y
% 0.89/1.32 , T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.89/1.32 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ],
% 0.89/1.32 [ ~( =( hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X
% 0.89/1.32 , Y ) ), hAPP( 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y
% 0.89/1.32 ), Y ) ) ), 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ],
% 0.89/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.89/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X, 'c_Relation_ODomain'( U
% 0.89/1.32 , Z, T ), Z ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.32 X, T ), Y ) ) ) ],
% 0.89/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.32 ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, T ), U,
% 0.89/1.32 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y, 'c_Relation_ORange'( U,
% 0.89/1.32 Z, T ), T ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X, Z, T ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.89/1.32 , Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ],
% 0.89/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.32 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ],
% 0.89/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.89/1.32 hAPP( 'c_Relation_Oconverse'( 't_a', 't_b' ), 'v_r' ), 't_b', 't_a' ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( 'c_in'( Z
% 0.89/1.32 , W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, V0, T, U ) )
% 0.89/1.32 , ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), 'c_in'(
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.89/1.32 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.89/1.32 'tc_prod'( Y, Y ) ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'(
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.89/1.32 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.89/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.89/1.32 [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.89/1.32 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.32 T, Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X
% 0.89/1.32 , Y, Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y
% 0.89/1.32 , Z, T, U ), Y, T, U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Relation_OImage'( Z, X, T, U ), U ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.89/1.32 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.89/1.32 Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X
% 0.89/1.32 , Y, Z, T ), Z, T ), Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X,
% 0.89/1.32 'c_Relation_ODomain'( Y, Z, T ), Z ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.89/1.32 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'(
% 0.89/1.32 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T, 't_a' ),
% 0.89/1.32 't_a' ), ~( 'c_in'( 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'(
% 0.89/1.32 X, T ), 't_a', 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'( 'c_Pair'(
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ), X, Z,
% 0.89/1.32 Z ), Y, 'tc_prod'( Z, Z ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, U ), U, U )
% 0.89/1.32 , T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U ), U
% 0.89/1.32 ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.32 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.89/1.32 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.89/1.32 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.32 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.89/1.32 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.89/1.32 't_a' ), 't_a' ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Z,
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, U ), U
% 0.89/1.32 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T, U
% 0.89/1.32 ), U ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'(
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.89/1.32 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.89/1.32 ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z, Z ), T,
% 0.89/1.32 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.89/1.32 'c_Wellfounded_Owf'( T, Z ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T
% 0.89/1.32 , Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'( 'c_Set_Oinsert'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X
% 0.89/1.32 , Y, Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.89/1.32 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y
% 0.89/1.32 , Z, T ), X, T, Z ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X,
% 0.89/1.32 'c_Relation_ORange'( Y, T, Z ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'(
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.89/1.32 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.89/1.32 T ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X,
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.89/1.32 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.89/1.32 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.89/1.32 ), 'tc_prod'( T, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.32 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.32 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.89/1.32 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'( 'c_Pair'( X,
% 0.89/1.32 X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.89/1.32 ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.32 T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) )
% 0.89/1.32 ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( T,
% 0.89/1.32 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ), ~(
% 0.89/1.32 'c_Relation_Osym'( Y, X ) ) ],
% 0.89/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X, hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.89/1.32 [ 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z ),
% 0.89/1.32 Y ), ~( 'c_Relation_Orefl__on'( X, Z, Y ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ), ~(
% 0.89/1.32 'c_Relation_Osym'( Y, X ) ) ],
% 0.89/1.32 [ ~( =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ) ),
% 0.89/1.32 'c_Relation_Osym'( Y, X ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), 'c_Relation_Orel__comp'( Z, T
% 0.89/1.32 , X, U, Y ) ), 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( U,
% 0.89/1.32 Y ), T ), hAPP( 'c_Relation_Oconverse'( X, U ), Z ), Y, U, X ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId'( X ) ),
% 0.89/1.32 'c_Relation_OId'( X ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_Oinv__image'( Y,
% 0.89/1.32 Z, T, X ) ), 'c_Relation_Oinv__image'( hAPP( 'c_Relation_Oconverse'( T, T
% 0.89/1.32 ), Y ), Z, T, X ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.89/1.32 ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId__on'( Y, X )
% 0.89/1.32 ), 'c_Relation_OId__on'( Y, X ) ) ],
% 0.89/1.32 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ],
% 0.89/1.32 [ 'c_Relation_Oantisym'( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X )
% 0.89/1.32 , ~( 'c_Relation_Oantisym'( Y, X ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( X,
% 0.89/1.32 X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ) ],
% 0.89/1.32 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.89/1.32 hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z ) ) ],
% 0.89/1.32 [ 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'( Y, Y ), Z )
% 0.89/1.32 , Y ), ~( 'c_Relation_Ototal__on'( X, Z, Y ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.32 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ), 'tc_prod'( Z, Z )
% 0.89/1.32 ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.32 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), =( X, Y )
% 0.89/1.32 ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.89/1.32 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.89/1.32 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.32 Y, Z ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.89/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.89/1.32 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( Y, X ) ), X ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.32 hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.89/1.32 'c_Relation_Osym'( X, Y ) ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.89/1.32 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.32 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.89/1.32 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.89/1.32 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.89/1.32 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.32 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.32 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.89/1.32 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.32 X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.89/1.32 'c_Relation_Osym'( X, Z ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.32 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.89/1.32 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.89/1.32 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.89/1.32 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.89/1.32 [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ],
% 0.89/1.32 [ ~( =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y
% 0.89/1.32 ), Y, X, X, X ), Y ) ), 'c_Equiv__Relations_Oequiv'(
% 0.89/1.32 'c_Relation_ODomain'( Y, X, X ), Y, X ) ],
% 0.89/1.32 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.89/1.32 [ =( 'c_Relation_ORange'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y,
% 0.89/1.32 X ), 'c_Relation_ODomain'( Z, X, Y ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'( X, X ), Y )
% 0.89/1.32 , Y, X, X, X ), Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, Y, X ) ) ],
% 0.89/1.32 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.32 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.89/1.32 Y, Z ) ) ],
% 0.89/1.32 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.89/1.32 ],
% 0.89/1.32 [ =( 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), Y
% 0.89/1.32 , X ), 'c_Relation_ORange'( Z, X, Y ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.89/1.32 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.89/1.32 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Y, Z ), X ), Z, Y ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.89/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.32 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.89/1.32 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.32 Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_in'( 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.89/1.32 , 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.89/1.32 ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( Z, Y
% 0.89/1.32 ), 'tc_prod'( Y, Y ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.89/1.32 T, Z ) ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.89/1.32 'c_Relation_Oantisym'( T, Z ) ) ],
% 0.89/1.32 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), U
% 0.89/1.32 , 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'( U, X, T, W )
% 0.89/1.32 ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId__on'( T
% 0.89/1.32 , Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.89/1.32 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'( 'c_Pair'( V0, Z, T
% 0.89/1.32 , T ), Y, 'tc_prod'( T, T ) ) ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_OId'( Z ),
% 0.89/1.32 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~(
% 0.89/1.32 'c_Nitpick_Orefl_H'( Z, Y ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~(
% 0.89/1.32 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'( T, U, W, Z )
% 0.89/1.32 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ), hAPP( U, Y ), W
% 0.89/1.32 , W ), T, 'tc_prod'( W, W ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U, 'tc_prod'( T
% 0.89/1.32 , T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ), 'c_Relation_Oinv__image'( U,
% 0.89/1.32 X, T, W ), 'tc_prod'( W, W ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.89/1.32 , Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osym'( T
% 0.89/1.32 , Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'( U, W, Z, V0,
% 0.89/1.32 T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T ), W,
% 0.89/1.32 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U, 'tc_prod'(
% 0.89/1.32 Z, V0 ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'(
% 0.89/1.32 Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, Y, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( X, U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.89/1.32 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.89/1.32 ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y
% 0.89/1.32 ) ) ],
% 0.89/1.32 [ 'c_in'( hAPP( X, Y ), hAPP( Z, Y ), T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.89/1.32 'c_in'( X, 'c_FuncSet_OPi'( U, Z, W, T ), 'tc_fun'( W, T ) ) ) ],
% 0.89/1.32 [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), hAPP( U, X ), W ), ~(
% 0.89/1.32 'c_in'( T, 'c_FuncSet_OPi'( Y, U, Z, W ), 'tc_fun'( Z, W ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.32 Z, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.89/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.32 Y, X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.32 Z, Y ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.89/1.32 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ],
% 0.89/1.32 [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.89/1.32 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.89/1.32 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , =( X, Y ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.89/1.32 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( X, Y ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.89/1.32 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( Y, X ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.89/1.32 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( X, Y ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.89/1.32 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( Y, X,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( Y, X ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T ) ),
% 0.89/1.32 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( T,
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.89/1.32 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.89/1.32 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.89/1.32 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.89/1.32 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.89/1.32 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.89/1.32 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.89/1.32 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ],
% 0.89/1.32 [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( 'c_in'( Y,
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.89/1.32 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.89/1.32 , Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'( U, W, Z, T )
% 0.89/1.32 , 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~( 'c_in'( X, U
% 0.89/1.32 , Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.32 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.89/1.32 Y, Z ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'( 'c_Pair'( X,
% 0.89/1.32 T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'(
% 0.89/1.32 Y, Z ), Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.32 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.32 W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z, T ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.89/1.32 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z, Y ),
% 0.89/1.32 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.32 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.32 , Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.89/1.32 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'( 'c_Pair'( U
% 0.89/1.32 , X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.32 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~( 'c_in'( 'c_Pair'(
% 0.89/1.32 X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X, U, T ),
% 0.89/1.32 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.89/1.32 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~( 'c_in'( X,
% 0.89/1.32 U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'( U, T, Z ) )
% 0.89/1.32 ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.89/1.32 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.32 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U, 'tc_prod'( Z
% 0.89/1.32 , Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ), ~( 'c_in'( X,
% 0.89/1.32 T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP( 'c_Relation_Oconverse'( Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Otrancl'( T, Z ) ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.89/1.32 ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.89/1.32 ), Z ), 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.89/1.32 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.89/1.32 'tc_prod'( Z, Z ) ) ) ],
% 0.89/1.32 [ ~( =( 'v_a____', 'v_b____' ) ) ],
% 0.89/1.32 [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.89/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.89/1.32 , V4 ), W ) ) ],
% 0.89/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.89/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.89/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.89/1.32 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.89/1.32 T, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP( 'c_Relation_Oconverse'( T, Z ),
% 0.89/1.32 U ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'(
% 0.89/1.32 T, Z ) ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.89/1.32 'c_Pair'( Y, X, T, Z ), hAPP( 'c_Relation_Oconverse'( Z, T ), U ),
% 0.89/1.32 'tc_prod'( T, Z ) ) ) ],
% 0.89/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.89/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.89/1.32 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.89/1.32 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ) ],
% 0.89/1.32 [ ~( =( 'v_b____', 'v_c____' ) ) ],
% 0.89/1.32 [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), hAPP( 'c_Relation_Oconverse'(
% 0.89/1.32 Y, X ), Z ) ), Z ) ],
% 0.89/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.89/1.32 ) ],
% 0.89/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.89/1.32 ) ],
% 0.89/1.32 [ 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.32 [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ],
% 0.89/1.32 [ ~( =( 'v_a____', 'v_c____' ) ) ],
% 0.89/1.32 [ 'c_in'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ) ) ) ],
% 0.89/1.32 [ =( 'v_b____', 'v_a____' ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.89/1.32 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_Fun_Ocomp'(
% 0.89/1.32 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 ) ],
% 0.89/1.32 [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.89/1.32 , ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.89/1.32 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ],
% 0.89/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.89/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.32 Y ) ) ],
% 0.89/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.32 ,
% 0.89/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.32 [ 'c_fequal'( X, X, Y ) ],
% 0.89/1.32 [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ]
% 0.89/1.32 ] .
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 percentage equality = 0.223438, percentage horn = 0.844086
% 0.89/1.32 This is a problem with some equality
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32
% 0.89/1.32 Options Used:
% 0.89/1.32
% 0.89/1.32 useres = 1
% 0.89/1.32 useparamod = 1
% 0.89/1.32 useeqrefl = 1
% 0.89/1.32 useeqfact = 1
% 0.89/1.32 usefactor = 1
% 0.89/1.32 usesimpsplitting = 0
% 0.89/1.32 usesimpdemod = 5
% 0.89/1.32 usesimpres = 3
% 0.89/1.32
% 0.89/1.32 resimpinuse = 1000
% 0.89/1.32 resimpclauses = 20000
% 0.89/1.32 substype = eqrewr
% 0.89/1.32 backwardsubs = 1
% 0.89/1.32 selectoldest = 5
% 0.89/1.32
% 0.89/1.32 litorderings [0] = split
% 0.89/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.32
% 0.89/1.32 termordering = kbo
% 0.89/1.32
% 0.89/1.32 litapriori = 0
% 0.89/1.32 termapriori = 1
% 0.89/1.32 litaposteriori = 0
% 0.89/1.32 termaposteriori = 0
% 0.89/1.32 demodaposteriori = 0
% 0.89/1.32 ordereqreflfact = 0
% 0.89/1.32
% 0.89/1.32 litselect = negord
% 0.89/1.32
% 0.89/1.32 maxweight = 15
% 0.89/1.32 maxdepth = 30000
% 0.89/1.32 maxlength = 115
% 0.89/1.32 maxnrvars = 195
% 0.89/1.32 excuselevel = 1
% 0.89/1.32 increasemaxweight = 1
% 0.89/1.32
% 0.89/1.32 maxselected = 10000000
% 0.89/1.32 maxnrclauses = 10000000
% 0.89/1.32
% 0.89/1.32 showgenerated = 0
% 0.89/1.32 showkept = 0
% 0.89/1.32 showselected = 0
% 0.89/1.32 showdeleted = 0
% 0.89/1.32 showresimp = 1
% 0.89/1.32 showstatus = 2000
% 0.89/1.32
% 0.89/1.32 prologoutput = 1
% 0.89/1.32 nrgoals = 5000000
% 0.89/1.32 totalproof = 1
% 0.89/1.32
% 0.89/1.32 Symbols occurring in the translation:
% 0.89/1.32
% 0.89/1.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.89/1.32 . [1, 2] (w:1, o:111, a:1, s:1, b:0),
% 0.89/1.32 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 0.89/1.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.89/1.32 'tc_bool' [42, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.89/1.32 'tc_fun' [43, 2] (w:1, o:136, a:1, s:1, b:0),
% 0.89/1.32 'c_Lattices_Oupper__semilattice__class_Osup' [44, 3] (w:1, o:162, a:1
% 0.89/1.32 , s:1, b:0),
% 0.89/1.32 'c_Relation_OImage' [48, 4] (w:1, o:190, a:1, s:1, b:0),
% 0.89/1.32 'c_lessequals' [49, 3] (w:1, o:163, a:1, s:1, b:0),
% 0.89/1.32 'c_COMBK' [50, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.89/1.32 'c_Product__Type_OSigma' [51, 4] (w:1, o:191, a:1, s:1, b:0),
% 0.89/1.32 'tc_prod' [52, 2] (w:1, o:137, a:1, s:1, b:0),
% 0.89/1.32 'c_Orderings_Obot__class_Obot' [55, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.89/1.32 'c_Set_Oinsert' [56, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_OId' [57, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Osingle__valued' [58, 3] (w:1, o:166, a:1, s:1, b:0),
% 0.89/1.32 hAPP [61, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_ODomain' [62, 3] (w:1, o:167, a:1, s:1, b:0),
% 0.89/1.32 hBOOL [64, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.89/1.32 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1' [66, 3] (w:1, o:171, a:
% 0.89/1.32 1, s:1, b:0),
% 0.89/1.32 'c_Wellfounded_Owf' [67, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Orel__comp' [72, 5] (w:1, o:212, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Oupper__semilattice' [74, 1] (w:1, o:92, a:1, s:1, b:
% 0.89/1.32 0),
% 0.89/1.32 'c_Relation_Orefl__on' [75, 3] (w:1, o:165, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_OId__on' [76, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Odistrib__lattice' [77, 1] (w:1, o:93, a:1, s:1, b:0)
% 0.89/1.32 ,
% 0.89/1.32 'c_Lattices_Olower__semilattice__class_Oinf' [80, 3] (w:1, o:172, a:1
% 0.89/1.32 , s:1, b:0),
% 0.89/1.32 'c_in' [83, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.89/1.32 'c_Transitive__Closure_Otrancl' [86, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.89/1.32
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1' [87, 3] (w:1, o:
% 0.89/1.32 174, a:1, s:1, b:0),
% 0.89/1.32 'c_Transitive__Closure_Ortrancl' [88, 2] (w:1, o:142, a:1, s:1, b:0)
% 0.89/1.32 ,
% 0.89/1.32 'class_Orderings_Obot' [89, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Osym' [90, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Obounded__lattice' [91, 1] (w:1, o:95, a:1, s:1, b:0)
% 0.89/1.32 ,
% 0.89/1.32 'c_Relation_ORange' [92, 3] (w:1, o:168, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Olattice' [93, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.89/1.32 'class_Lattices_Olower__semilattice' [94, 1] (w:1, o:97, a:1, s:1, b:
% 0.89/1.32 0),
% 0.89/1.32 'c_Pair' [95, 4] (w:1, o:192, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1' [97, 3] (w:1, o:175
% 0.89/1.32 , a:1, s:1, b:0),
% 0.89/1.32 'class_Orderings_Oorder' [98, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.89/1.32 'c_Wellfounded_Oacyclic' [99, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_OField' [100, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.89/1.32 'v_r' [102, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.89/1.32 't_a' [103, 0] (w:1, o:50, a:1, s:1, b:0),
% 0.89/1.32 'c_Wellfounded_Oacc' [105, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1' [107, 3]
% 0.89/1.32 (w:1, o:176, a:1, s:1, b:0),
% 0.89/1.32 'c_List_Osko__Recdef__Xcuts__eq__1__1' [110, 6] (w:1, o:220, a:1, s:1
% 0.89/1.32 , b:0),
% 0.89/1.32 'c_Recdef_Ocut' [111, 5] (w:1, o:213, a:1, s:1, b:0),
% 0.89/1.32 'class_HOL_Oord' [112, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Oconverse' [115, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.89/1.32 'c_Equiv__Relations_Oquotient' [116, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.89/1.32
% 0.89/1.32 'c_Equiv__Relations_Oequiv' [117, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Oantisym' [118, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.89/1.32 'c_Relation_Ototal__on' [120, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.89/1.32 'class_Orderings_Opreorder' [122, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.89/1.32 'class_Orderings_Olinorder' [125, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'
% 0.89/1.32 [126, 4] (w:1, o:193, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'
% 0.89/1.32 [127, 4] (w:1, o:194, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1' [128, 4
% 0.89/1.32 ] (w:1, o:195, a:1, s:1, b:0),
% 0.89/1.32 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2' [129, 4
% 0.89/1.32 ] (w:1, o:196, a:1, s:1, b:0),
% 0.89/1.32 'c_Arrow__Order__Mirabelle_Ounanimity' [131, 1] (w:1, o:102, a:1, s:1
% 0.89/1.32 , b:0),
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3' [132, 1] (w:1
% 0.89/1.32 , o:104, a:1, s:1, b:0),
% 0.89/1.32 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4' [133, 1] (w:1
% 0.89/1.32 , o:105, a:1, s:1, b:0),
% 0.89/1.32 'tc_Arrow__Order__Mirabelle_Oalt' [134, 0] (w:1, o:61, a:1, s:1, b:0)
% 0.94/1.37 ,
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2' [135, 1] (w:1
% 0.94/1.37 , o:103, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1' [137, 5] (w:1, o:
% 0.94/1.37 214, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1' [138, 4]
% 0.94/1.37 (w:1, o:197, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1' [139
% 0.94/1.37 , 4] (w:1, o:198, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1' [142, 3] (w:1, o:
% 0.94/1.37 179, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1' [144
% 0.94/1.37 , 2] (w:1, o:149, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1' [145,
% 0.94/1.37 4] (w:1, o:199, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Transitive__Closure__Xtrancl__Xcases__1' [146, 3] (w:1, o:180
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1' [147, 4]
% 0.94/1.37 (w:1, o:202, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1' [148, 7] (w:1
% 0.94/1.37 , o:224, a:1, s:1, b:0),
% 0.94/1.37 'c_FuncSet_OPi' [149, 4] (w:1, o:204, a:1, s:1, b:0),
% 0.94/1.37 'c_FuncSet_Osko__FuncSet__XPi__I__1__1' [150, 5] (w:1, o:215, a:1, s:
% 0.94/1.37 1, b:0),
% 0.94/1.37 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1' [151, 5] (w:1, o:216, a:1
% 0.94/1.37 , s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XIdE__1__1' [152, 2] (w:1, o:150, a:1
% 0.94/1.37 , s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1' [153, 2] (w:1
% 0.94/1.37 , o:151, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1' [154, 2] (w:1, o:
% 0.94/1.37 152, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1' [155, 3] (w:1, o:181
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_Arrow__Order__Mirabelle_OIIA' [156, 1] (w:1, o:106, a:1, s:1, b:0)
% 0.94/1.37 ,
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4' [157, 1] (w:1, o:108
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5' [158, 1] (w:1, o:109
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2' [159, 1] (w:1, o:110
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3' [160, 1] (w:1, o:107
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1' [161, 4]
% 0.94/1.37 (w:1, o:200, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1' [162, 4]
% 0.94/1.37 (w:1, o:201, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [163, 3] (w:1
% 0.94/1.37 , o:182, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [164, 3] (w:1
% 0.94/1.37 , o:183, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Wellfounded__Xacc__Xinduct__1' [165, 2] (w:1, o:153, a:1, s:1
% 0.94/1.37 , b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [166, 3]
% 0.94/1.37 (w:1, o:184, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [167, 3] (w:
% 0.94/1.37 1, o:185, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Wellfounded__Xacc__Xinducts__1' [168, 2] (w:1, o:154, a:1, s:
% 0.94/1.37 1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [169, 5] (w:1, o:
% 0.94/1.37 217, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [170, 5] (w:1, o:218
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [171, 3] (w:1, o:
% 0.94/1.37 186, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [172, 3]
% 0.94/1.37 (w:1, o:187, a:1, s:1, b:0),
% 0.94/1.37 'c_Equiv__Relations_Ocongruent2' [179, 6] (w:1, o:221, a:1, s:1, b:0)
% 0.94/1.37 ,
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1' [180, 2] (w:1, o:
% 0.94/1.37 156, a:1, s:1, b:0),
% 0.94/1.37 'c_Arrow__Order__Mirabelle_Odictator' [181, 2] (w:1, o:157, a:1, s:1
% 0.94/1.37 , b:0),
% 0.94/1.37 't_b' [182, 0] (w:1, o:66, a:1, s:1, b:0),
% 0.94/1.37 'c_Equiv__Relations_Ocongruent' [183, 4] (w:1, o:203, a:1, s:1, b:0)
% 0.94/1.37 ,
% 0.94/1.37 'c_Arrow__Order__Mirabelle_OProf' [184, 0] (w:1, o:67, a:1, s:1, b:0)
% 0.94/1.37 ,
% 0.94/1.37 'tc_Arrow__Order__Mirabelle_Oindi' [185, 0] (w:1, o:68, a:1, s:1, b:0
% 0.94/1.37 ),
% 0.94/1.37 'c_Nitpick_Orefl_H' [186, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.94/1.37 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1' [187, 2] (w:1, o:159
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [188, 4] (w:1, o:
% 0.94/1.37 205, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [189, 4] (w:1, o:206
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [191, 4] (w:1, o:
% 0.94/1.37 207, a:1, s:1, b:0),
% 0.94/1.37 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [192, 4] (w:1, o:208
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'c_Relation_Oinv__image' [193, 4] (w:1, o:209, a:1, s:1, b:0),
% 0.94/1.37 'v_F' [194, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.94/1.37 'c_Arrow__Order__Mirabelle_Omktop' [197, 2] (w:1, o:160, a:1, s:1, b:
% 0.94/1.37 0),
% 0.94/1.37 'c_Arrow__Order__Mirabelle_Omkbot' [198, 2] (w:1, o:161, a:1, s:1, b:
% 0.94/1.37 0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1' [199, 2] (w:1, o:
% 0.94/1.37 155, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__local__X3__1' [201, 4] (w:1, o:210, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1' [202, 4] (w:1, o:211
% 0.94/1.37 , a:1, s:1, b:0),
% 0.94/1.37 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1' [203, 3] (w:1
% 0.94/1.37 , o:188, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__local__X2__1' [206, 6] (w:1, o:223, a:1, s:1, b:0),
% 0.94/1.37 'v_sko__local__X1__1' [207, 6] (w:1, o:222, a:1, s:1, b:0),
% 0.94/1.37 'v_a____' [208, 0] (w:1, o:72, a:1, s:1, b:0),
% 0.94/1.37 'v_b____' [209, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.94/1.37 'v_P____' [210, 0] (w:1, o:74, a:1, s:1, b:0),
% 0.94/1.37 'c_Fun_Ocomp' [214, 5] (w:1, o:219, a:1, s:1, b:0),
% 0.94/1.37 'v_c____' [218, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.94/1.37 'v_P_H____' [219, 0] (w:1, o:79, a:1, s:1, b:0),
% 0.94/1.37 'c_fequal' [222, 3] (w:1, o:189, a:1, s:1, b:0).
% 0.94/1.37
% 0.94/1.37
% 0.94/1.37 Starting Search:
% 0.94/1.37
% 0.94/1.37
% 0.94/1.37 Bliksems!, er is een bewijs:
% 0.94/1.37 % SZS status Unsatisfiable
% 0.94/1.37 % SZS output start Refutation
% 0.94/1.37
% 0.94/1.37 clause( 505, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 0.94/1.37 .
% 0.94/1.37 clause( 524, [ =( 'v_b____', 'v_a____' ) ] )
% 0.94/1.37 .
% 0.94/1.37 clause( 671, [] )
% 0.94/1.37 .
% 0.94/1.37
% 0.94/1.37
% 0.94/1.37 % SZS output end Refutation
% 0.94/1.37 found a proof!
% 0.94/1.37
% 0.94/1.37 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.94/1.37
% 0.94/1.37 initialclauses(
% 0.94/1.37 [ clause( 673, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 674, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 675, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), U,
% 0.94/1.37 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.94/1.37 'c_Product__Type_OSigma'( W, 'c_COMBK'( U, 'tc_fun'( T, 'tc_bool' ), Z )
% 0.94/1.37 , Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 676, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.37 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.94/1.37 , clause( 677, [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 678, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 0.94/1.37 , clause( 679, [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 680, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.37 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.37 'c_Wellfounded_Owf'( Z, T ) ) ] )
% 0.94/1.37 , clause( 681, [ =( 'c_Relation_OImage'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.37 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 682, [ =( 'c_Relation_OImage'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.94/1.37 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 683, [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.37 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.94/1.37 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 684, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.94/1.37 , clause( 685, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 0.94/1.37 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.94/1.37 , clause( 686, [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'(
% 0.94/1.37 Y, 'tc_fun'( Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.37 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Y, X, Z ) ) ] )
% 0.94/1.37 , clause( 687, [ 'c_lessequals'( 'c_Relation_OId__on'( X, Y ),
% 0.94/1.37 'c_Product__Type_OSigma'( X, 'c_COMBK'( X, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.94/1.37 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 688, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 689, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 690, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.94/1.37 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 691, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 692, [ =( X, Y ), ~( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 693, [ =( 'c_Product__Type_OSigma'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.37 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 694, [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z
% 0.94/1.37 , 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.37 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.94/1.37 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 695, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( T, 'tc_fun'( U,
% 0.94/1.37 'tc_bool' ), Z ), Z, U ), 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T,
% 0.94/1.37 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_in'( W, T, U ) ) ] )
% 0.94/1.37 , clause( 696, [ 'c_lessequals'( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y
% 0.94/1.37 , 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U,
% 0.94/1.37 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ), 'tc_fun'( 'tc_prod'(
% 0.94/1.37 T, Z ), 'tc_bool' ) ), ~( 'c_lessequals'( X, U, 'tc_fun'( T, 'tc_bool' )
% 0.94/1.37 ) ), ~( 'c_in'( W, Y, Z ) ) ] )
% 0.94/1.37 , clause( 697, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 698, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.94/1.37 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 699, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.37 ~( 'c_Wellfounded_Owf'( Z, T ) ) ] )
% 0.94/1.37 , clause( 700, [ 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 701, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 702, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.37 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.94/1.37 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), T ) ) ] )
% 0.94/1.37 , clause( 703, [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.94/1.37 ) ) ] )
% 0.94/1.37 , clause( 704, [ =( 'c_Relation_Orel__comp'( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 0.94/1.37 ), T, Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z
% 0.94/1.37 ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 705, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 706, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 'tc_prod'( X, X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ),
% 0.94/1.37 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 707, [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ] )
% 0.94/1.37 , clause( 708, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.94/1.37 , clause( 709, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 710, [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 711, [ 'c_Relation_Osym'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( Y, Z ) ), ~(
% 0.94/1.37 'c_Relation_Osym'( X, Z ) ) ] )
% 0.94/1.37 , clause( 712, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 713, [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.94/1.37 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 714, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 X ) ) ] )
% 0.94/1.37 , clause( 715, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.94/1.37 , clause( 716, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.37 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.37 ) ) ) ] )
% 0.94/1.37 , clause( 717, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 718, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z
% 0.94/1.37 , 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 719, [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.37 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 720, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 721, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 722, [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.94/1.37 'c_Product__Type_OSigma'( W, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.37 Y, 'c_Product__Type_OSigma'( V1, 'c_COMBK'( V0, 'tc_fun'( U, 'tc_bool' )
% 0.94/1.37 , T ), T, U ), 'tc_fun'( 'tc_prod'( T, U ), 'tc_bool' ) ) ), ~(
% 0.94/1.37 'c_lessequals'( X, 'c_Product__Type_OSigma'( W, 'c_COMBK'( V1, 'tc_fun'(
% 0.94/1.37 T, 'tc_bool' ), Z ), Z, T ), 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) )
% 0.94/1.37 ] )
% 0.94/1.37 , clause( 723, [ 'c_Wellfounded_Owf'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'( 'c_Relation_Orel__comp'( X
% 0.94/1.37 , Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~(
% 0.94/1.37 'c_Wellfounded_Owf'( Y, Z ) ), ~( 'c_Wellfounded_Owf'( X, Z ) ) ] )
% 0.94/1.37 , clause( 724, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.94/1.37 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), Y ) ) ) ] )
% 0.94/1.37 , clause( 725, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.94/1.37 , clause( 726, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.94/1.37 , clause( 727, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.94/1.37 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.94/1.37 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.94/1.37 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ] )
% 0.94/1.37 , clause( 728, [ =( 'c_Product__Type_OSigma'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Product__Type_OSigma'( X
% 0.94/1.37 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.37 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.37 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 729, [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X,
% 0.94/1.37 Y, Z, T, U ), Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.94/1.37 'c_Relation_Osingle__valued'( X, Z, T ) ) ] )
% 0.94/1.37 , clause( 730, [ 'c_Relation_Orefl__on'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.94/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.37 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 'c_Relation_Orefl__on'( X, T, Z )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 731, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 732, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 733, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 734, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 735, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 736, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 737, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.94/1.37 , clause( 738, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.94/1.37 , clause( 739, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.94/1.37 X, 'tc_bool' ) ), Y ) ] )
% 0.94/1.37 , clause( 740, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.37 'tc_bool' ) ), X ) ] )
% 0.94/1.37 , clause( 741, [ =( 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.37 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z,
% 0.94/1.37 W ), 'c_Set_Oinsert'( 'c_Pair'( X, T, Z, W ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( Y
% 0.94/1.37 , 'c_COMBK'( 'c_Set_Oinsert'( T, U, W ), 'tc_fun'( W, 'tc_bool' ), Z ), Z
% 0.94/1.37 , W ), 'c_Product__Type_OSigma'( 'c_Set_Oinsert'( X, Y, Z ), 'c_COMBK'( U
% 0.94/1.37 , 'tc_fun'( W, 'tc_bool' ), Z ), Z, W ), 'tc_fun'( 'tc_prod'( Z, W ),
% 0.94/1.37 'tc_bool' ) ), 'tc_prod'( Z, W ) ) ) ] )
% 0.94/1.37 , clause( 742, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y )
% 0.94/1.37 , 'tc_fun'( Y, 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ] )
% 0.94/1.37 , clause( 743, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.94/1.37 , clause( 744, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( X, T, Z ) ), ~( =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.37 ) ) ] )
% 0.94/1.37 , clause( 745, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ] )
% 0.94/1.37 , clause( 746, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ] )
% 0.94/1.37 , clause( 747, [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 748, [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 749, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, Z, T ) ) ) ), ~(
% 0.94/1.37 'c_Wellfounded_Owf'( Z, T ) ) ] )
% 0.94/1.37 , clause( 750, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.37 ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 751, [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool'
% 0.94/1.37 ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 752, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.94/1.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 753, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.94/1.37 'c_lessequals'( Z, Y, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 754, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~(
% 0.94/1.37 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 755, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ] )
% 0.94/1.37 , clause( 756, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.94/1.37 'c_lessequals'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 757, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ) ] )
% 0.94/1.37 , clause( 758, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.94/1.37 'c_lessequals'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 759, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 760, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 761, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 762, [ 'c_Relation_Orefl__on'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.94/1.37 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.94/1.37 'c_Relation_Orefl__on'( Y, U, Z ) ), ~( 'c_Relation_Orefl__on'( X, T, Z )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 763, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 764, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 765, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 766, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 767, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 768, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 769, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.94/1.37 'c_lessequals'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 770, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ) ] )
% 0.94/1.37 , clause( 771, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.94/1.37 'c_lessequals'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 772, [ 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 773, [ 'c_lessequals'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 774, [ 'c_lessequals'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 775, [ 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 776, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 777, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X
% 0.94/1.37 ), X ) ] )
% 0.94/1.37 , clause( 778, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X
% 0.94/1.37 ), X ) ] )
% 0.94/1.37 , clause( 779, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 780, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 781, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ] )
% 0.94/1.37 , clause( 782, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ] )
% 0.94/1.37 , clause( 783, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 784, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 785, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 786, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.37 X, Y ) ) ] )
% 0.94/1.37 , clause( 787, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ] )
% 0.94/1.37 , clause( 788, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 789, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.94/1.37 , Z ) ] )
% 0.94/1.37 , clause( 790, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 791, [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 'tc_prod'( X, X ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 792, [ =( 'c_Relation_OField'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z
% 0.94/1.37 , Z ), T, 'tc_prod'( Z, Z ) ), Z ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.94/1.37 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), Z ), Z ), 'c_Relation_OField'( T, Z ), 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 793, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_in'( X
% 0.94/1.37 , Y, Z ) ] )
% 0.94/1.37 , clause( 794, [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ] )
% 0.94/1.37 , clause( 795, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X,
% 0.94/1.37 T, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 796, [ =( 'c_Product__Type_OSigma'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.94/1.37 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 797, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.94/1.37 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.94/1.37 'c_in'( Y, X, T ) ] )
% 0.94/1.37 , clause( 798, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'c_in'(
% 0.94/1.37 T, X, Z ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.94/1.37 , 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 799, [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.94/1.37 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.94/1.37 'c_in'( Y, X, T ) ] )
% 0.94/1.37 , clause( 800, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) )
% 0.94/1.37 ), 'c_in'( T, X, Z ) ] )
% 0.94/1.37 , clause( 801, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ) ), 'c_in'( Y, X, T ) ] )
% 0.94/1.37 , clause( 802, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ), 'c_in'( X, T, Z ) ] )
% 0.94/1.37 , clause( 803, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 804, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 805, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.94/1.37 , clause( 806, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.94/1.37 , clause( 807, [ =( 'c_Relation_Orel__comp'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.37 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.94/1.37 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 808, [ =( 'c_Relation_Orel__comp'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.37 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.94/1.37 'tc_prod'( W, U ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 809, [ =( 'c_Relation_OField'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Z ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Relation_OField'( X, Z ), 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 810, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 811, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 812, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 813, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.94/1.37 , clause( 814, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 T, X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.94/1.37 , clause( 815, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.37 T, X ), ~( 'c_lessequals'( Z, T, X ) ) ] )
% 0.94/1.37 , clause( 816, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ] )
% 0.94/1.37 , clause( 817, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( Y,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, X ), X ) ) ] )
% 0.94/1.37 , clause( 818, [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.94/1.37 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.94/1.37 't_a', 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 819, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 820, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 821, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.94/1.37 , clause( 822, [ =( 'c_Relation_ODomain'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.94/1.37 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 823, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 824, [ =( 'c_Product__Type_OSigma'(
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ] )
% 0.94/1.37 , clause( 825, [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ),
% 0.94/1.37 'c_Wellfounded_Oacc'( Z, Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.94/1.37 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 826, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 827, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 828, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.94/1.37 , clause( 829, [ ~( =( 'c_Relation_ODomain'( X, Y, Z ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 0.94/1.37 ) ) ] )
% 0.94/1.37 , clause( 830, [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.94/1.37 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.94/1.37 T, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 831, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.37 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'( X, Z, T ) ) )
% 0.94/1.37 ), ~( 'c_Wellfounded_Owf'( Z, T ) ) ] )
% 0.94/1.37 , clause( 832, [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 833, [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.37 , clause( 834, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), Y ) ) ) ] )
% 0.94/1.37 , clause( 835, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), Y ) ) ) ] )
% 0.94/1.37 , clause( 836, [ 'c_Relation_Osym'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'( Y, Z ) ), ~(
% 0.94/1.37 'c_Relation_Osym'( X, Z ) ) ] )
% 0.94/1.37 , clause( 837, [ ~( =( hAPP( X, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X,
% 0.94/1.37 Y, Z, T, U, W ) ), hAPP( Y, 'c_List_Osko__Recdef__Xcuts__eq__1__1'( X, Y
% 0.94/1.37 , Z, T, U, W ) ) ) ), =( 'c_Recdef_Ocut'( X, Z, T, U, W ),
% 0.94/1.37 'c_Recdef_Ocut'( Y, Z, T, U, W ) ) ] )
% 0.94/1.37 , clause( 838, [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y )
% 0.94/1.37 , Y, Y ) ] )
% 0.94/1.37 , clause( 839, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~(
% 0.94/1.37 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X,
% 0.94/1.37 'tc_prod'( Y, Y ) ), Y ) ) ] )
% 0.94/1.37 , clause( 840, [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ),
% 0.94/1.37 hAPP( T, Z ), X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ] )
% 0.94/1.37 , clause( 841, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.94/1.37 , Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 0.94/1.37 X, Y, T ) ) ] )
% 0.94/1.37 , clause( 842, [ 'c_in'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y
% 0.94/1.37 , Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ), ~( 'c_in'(
% 0.94/1.37 X, Y, T ) ) ] )
% 0.94/1.37 , clause( 843, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.94/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 844, [ 'c_in'( X, Y, Z ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 0.94/1.37 , clause( 845, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.94/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 846, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X, T, Z ) ), ~(
% 0.94/1.37 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 847, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.94/1.37 , Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Y, T ) ) ] )
% 0.94/1.37 , clause( 848, [ 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.94/1.37 , Z, 'tc_fun'( T, 'tc_bool' ) ), T ), ~( 'c_in'( X, Z, T ) ) ] )
% 0.94/1.37 , clause( 849, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.37 , 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.37 , clause( 850, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 851, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.37 , 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.37 , clause( 852, [ ~( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.94/1.37 , 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.37 , clause( 853, [ 'c_in'( X, Y, Z ), 'c_in'( X, T, Z ), ~( 'c_in'( X,
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 854, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 855, [ 'c_in'( X, Y, Z ), ~( 'c_in'( X,
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 856, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( 'c_in'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.37 , clause( 857, [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.37 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.94/1.37 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 858, [ 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( X
% 0.94/1.37 , X ), Y ), X ), ~( 'c_Wellfounded_Oacyclic'( Y, X ) ) ] )
% 0.94/1.37 , clause( 859, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~(
% 0.94/1.37 'c_Wellfounded_Oacyclic'( hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), Y )
% 0.94/1.37 ) ] )
% 0.94/1.37 , clause( 860, [ =( 'c_Relation_OField'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.94/1.37 ), Y ), X ), 'c_Relation_OField'( Y, X ) ) ] )
% 0.94/1.37 , clause( 861, [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.94/1.37 X, Y ), 'tc_bool' ) ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 hAPP( 'c_Relation_Oconverse'( X, Y ), Z ), hAPP( 'c_Relation_Oconverse'(
% 0.94/1.37 X, Y ), T ), 'tc_fun'( 'tc_prod'( Y, X ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 862, [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.94/1.37 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.94/1.37 , ~( 'c_in'( 'c_Pair'( X, T, Y, Y ), Z, 'tc_prod'( Y, Y ) ) ), ~( 'c_in'(
% 0.94/1.37 T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z
% 0.94/1.37 , Y ) ) ] )
% 0.94/1.37 , clause( 863, [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ] )
% 0.94/1.37 , clause( 864, [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ),
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 865, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.94/1.37 , clause( 866, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.94/1.37 , clause( 867, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.94/1.37 , clause( 868, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.37 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.94/1.37 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.94/1.37 , clause( 869, [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.37 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y )
% 0.94/1.37 , Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.37 X, 'c_Product__Type_OSigma'( Z, 'c_COMBK'( Z, 'tc_fun'( Y, 'tc_bool' ), Y
% 0.94/1.37 ), Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 870, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.37 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.37 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.94/1.37 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 871, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.94/1.37 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 872, [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.94/1.37 ) ), 'tc_fun'( X, 'tc_bool' ) ) ] )
% 0.94/1.37 , clause( 873, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.94/1.37 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.94/1.37 , clause( 874, [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.37 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ] )
% 0.94/1.37 , clause( 875, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.37 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.37 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_in'( X, T, Z ) ) ] )
% 0.94/1.37 , clause( 876, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.37 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.94/1.37 Y, 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.94/1.37 'tc_bool' ) ), T ) ), ~( 'c_in'( Y, X, T ) ) ] )
% 0.94/1.37 , clause( 877, [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'(
% 0.94/1.37 'tc_fun'( X, 'tc_bool' ) ), Y, X ) ] )
% 0.94/1.37 , clause( 878, [ 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.37 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.94/1.37 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.37 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 0.94/1.37 , 'tc_bool' ) ) ) ] )
% 0.94/1.37 , clause( 879, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ] )
% 0.94/1.37 , clause( 880, [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.94/1.37 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ] )
% 0.94/1.37 , clause( 881, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.94/1.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.37 )
% 0.94/1.37 , clause( 882, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.37 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.94/1.37 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 883, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X
% 0.94/1.38 ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 884, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.38 Z, X ) ] )
% 0.94/1.38 , clause( 885, [ ~( 'class_Lattices_Olower__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.94/1.38 Y, X ) ] )
% 0.94/1.38 , clause( 886, [ 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.38 , clause( 887, [ 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ] )
% 0.94/1.38 , clause( 888, [ 'c_lessequals'( X,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 0.94/1.38 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 889, [ 'c_lessequals'( X,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z,
% 0.94/1.38 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, Y, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 890, [ =( 'c_Product__Type_OSigma'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Product__Type_OSigma'( X
% 0.94/1.38 , 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z ), Z, U ),
% 0.94/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( T, 'tc_fun'( U, 'tc_bool' ), Z )
% 0.94/1.38 , Z, U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 891, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.94/1.38 , clause( 892, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.94/1.38 , clause( 893, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.94/1.38 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 894, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 895, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z
% 0.94/1.38 , 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ),
% 0.94/1.38 ~( 'c_in'( X, T, Z ) ) ] )
% 0.94/1.38 , clause( 896, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.94/1.38 , clause( 897, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ] )
% 0.94/1.38 , clause( 898, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 899, [ 'c_lessequals'( 'c_Relation_OField'( X, Y ),
% 0.94/1.38 'c_Relation_OField'( Z, Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 900, [ =( 'c_Relation_OImage'( X,
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.94/1.38 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.94/1.38 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( T, U ), X ), U, T ) ) ] )
% 0.94/1.38 , clause( 901, [ =( 'c_Relation_ORange'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.94/1.38 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 902, [ 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Wellfounded_Owf'( X, Z ) ) ] )
% 0.94/1.38 , clause( 903, [ 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ] )
% 0.94/1.38 , clause( 904, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ] )
% 0.94/1.38 , clause( 905, [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X,
% 0.94/1.38 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.94/1.38 , clause( 906, [ =( 'c_Relation_OField'( X, Y ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.94/1.38 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 907, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.94/1.38 , clause( 908, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.94/1.38 , clause( 909, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.94/1.38 ), X ), ~( 'c_lessequals'( Y, T, X ) ) ] )
% 0.94/1.38 , clause( 910, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X
% 0.94/1.38 ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ] )
% 0.94/1.38 , clause( 911, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ), Z, X ) ) ] )
% 0.94/1.38 , clause( 912, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.94/1.38 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), Z, X ) ) ] )
% 0.94/1.38 , clause( 913, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, T,
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 914, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T, X,
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 915, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z,
% 0.94/1.38 X ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ] )
% 0.94/1.38 , clause( 916, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.38 Z, X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 917, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 0.94/1.38 , clause( 918, [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ] )
% 0.94/1.38 , clause( 919, [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.38 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 920, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 0.94/1.38 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 921, [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z,
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z,
% 0.94/1.38 Y ) ) ] )
% 0.94/1.38 , clause( 922, [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y,
% 0.94/1.38 X ) ] )
% 0.94/1.38 , clause( 923, [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.38 Y, X ) ] )
% 0.94/1.38 , clause( 924, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z
% 0.94/1.38 , Y ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.94/1.38 ) ) ) ] )
% 0.94/1.38 , clause( 925, [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.94/1.38 T, 'tc_bool' ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ] )
% 0.94/1.38 , clause( 926, [ 'c_Wellfounded_Oacyclic'( X, Y ), ~( 'c_lessequals'( X, Z
% 0.94/1.38 , 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~(
% 0.94/1.38 'c_Wellfounded_Oacyclic'( Z, Y ) ) ] )
% 0.94/1.38 , clause( 927, [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.94/1.38 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 928, [ 'c_lessequals'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, U,
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.38 Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z
% 0.94/1.38 , 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 929, [ 'c_in'( X, 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ] )
% 0.94/1.38 , clause( 930, [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.38 'c_Product__Type_OSigma'( 'c_Relation_OField'( X, Y ), 'c_COMBK'(
% 0.94/1.38 'c_Relation_OField'( X, Y ), 'tc_fun'( Y, 'tc_bool' ), Y ), Y, Y ),
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ] )
% 0.94/1.38 , clause( 931, [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ),
% 0.94/1.38 'c_Relation_ODomain'( T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( X, T, 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 932, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.94/1.38 Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 933, [ =( 'c_Product__Type_OSigma'( X, 'c_COMBK'(
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.94/1.38 'tc_bool' ), Z ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.94/1.38 'tc_prod'( Z, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 934, [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~(
% 0.94/1.38 hBOOL( hAPP( X, T ) ) ) ] )
% 0.94/1.38 , clause( 935, [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.94/1.38 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.38 Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 936, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.94/1.38 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 937, [ =( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.94/1.38 ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 938, [ ~( =( 'c_Relation_ORange'( X, Y, Z ),
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' )
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 939, [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ),
% 0.94/1.38 'c_Relation_OImage'( U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.94/1.38 'c_lessequals'( Y, W, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.94/1.38 , U, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 940, [ 'c_lessequals'( X, 'c_Product__Type_OSigma'( Y, 'c_COMBK'(
% 0.94/1.38 Y, 'tc_fun'( Z, 'tc_bool' ), Z ), Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.38 'tc_bool' ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, X, Z ) ) ] )
% 0.94/1.38 , clause( 941, [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.94/1.38 Z, X ), 'c_lessequals'( Z, Y, X ) ] )
% 0.94/1.38 , clause( 942, [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.94/1.38 X, Z, T, U ),
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.94/1.38 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.94/1.38 , U ), 'tc_prod'( U, U ) ) ) ] )
% 0.94/1.38 , clause( 943, [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.94/1.38 T, U ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'(
% 0.94/1.38 X, Z, T, U ), U, U ), T, 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Z, Y, U, U ), 'c_Transitive__Closure_Ortrancl'( T
% 0.94/1.38 , U ), 'tc_prod'( U, U ) ) ) ] )
% 0.94/1.38 , clause( 944, [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.38 Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.94/1.38 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.94/1.38 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.94/1.38 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 945, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Z, Y, T, U ), W, 'tc_prod'(
% 0.94/1.38 T, U ) ) ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), W, 'tc_prod'( T, U ) ) ),
% 0.94/1.38 ~( 'c_Relation_Osingle__valued'( W, T, U ) ) ] )
% 0.94/1.38 , clause( 946, [ ~( =( 'c_Product__Type_OSigma'( X, 'c_COMBK'( Y, 'tc_fun'(
% 0.94/1.38 Z, 'tc_bool' ), T ), T, Z ), 'c_Product__Type_OSigma'( U, 'c_COMBK'( Y,
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ), T ), T, Z ) ) ), ~( 'c_in'( W, Y, Z ) ), =( X,
% 0.94/1.38 U ) ] )
% 0.94/1.38 , clause( 947, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 948, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 T, T ), 'tc_bool' ) ), T ), 'tc_prod'( T, T ) ), ~( 'c_in'( X,
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 949, [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.94/1.38 , 'tc_bool' ) ) ), ~( 'c_in'( X, 'c_Transitive__Closure_Otrancl'( T, Z )
% 0.94/1.38 , 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 950, [ 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.38 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.38 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.38 , clause( 951, [ 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.94/1.38 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.94/1.38 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.94/1.38 'tc_bool' ) ), Z ) ) ] )
% 0.94/1.38 , clause( 952, [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.94/1.38 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ] )
% 0.94/1.38 , clause( 953, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 954, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 955, [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 956, [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.94/1.38 ), X ), 'c_Relation_OId'( X ) ) ] )
% 0.94/1.38 , clause( 957, [ 'c_Relation_Oantisym'( 'c_Transitive__Closure_Ortrancl'( X
% 0.94/1.38 , Y ), Y ), ~( 'c_Wellfounded_Oacyclic'( X, Y ) ) ] )
% 0.94/1.38 , clause( 958, [ 'c_Relation_Osym'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.38 'tc_bool' ) ), Y ) ] )
% 0.94/1.38 , clause( 959, [ 'c_Relation_Osym'(
% 0.94/1.38 'c_Lattices_Olower__semilattice__class_Oinf'( X, hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Y, Y ), X ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.94/1.38 'tc_bool' ) ), Y ) ] )
% 0.94/1.38 , clause( 960, [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y
% 0.94/1.38 , Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 961, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ] )
% 0.94/1.38 , clause( 962, [ 'c_Relation_Oantisym'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.38 X, Y ) ) ] )
% 0.94/1.38 , clause( 963, [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.94/1.38 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.94/1.38 ), ~( 'c_in'( T, U, Y ) ), ~( 'c_in'( X, U, Y ) ), ~(
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ), 'c_in'( 'c_Pair'( X, T, Y, Y )
% 0.94/1.38 , Z, 'tc_prod'( Y, Y ) ) ] )
% 0.94/1.38 , clause( 964, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_lessequals'( U,
% 0.94/1.38 'c_Product__Type_OSigma'( Y, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), Z )
% 0.94/1.38 , Z, Z ), 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( U, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 965, [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y
% 0.94/1.38 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z )
% 0.94/1.38 , 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 0.94/1.38 , clause( 966, [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( X, X ), Y ), 'c_Transitive__Closure_Ortrancl'( Y
% 0.94/1.38 , X ), 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ),
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.94/1.38 ) ) ), ~( 'c_in'( 'c_Pair'( Z, Z, X, X ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Y, X ), 'tc_prod'( X, X ) ) ) ] )
% 0.94/1.38 , clause( 967, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 ), ~( 'c_in'( T, 'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Relation_OField'( X, Z ), Z ) ), ~( 'c_Relation_Oantisym'( X, Z ) ),
% 0.94/1.38 ~( 'c_Relation_Orefl__on'( 'c_Relation_OField'( X, Z ), X, Z ) ), =( Y, T
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 968, [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ) ),
% 0.94/1.38 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ] )
% 0.94/1.38 , clause( 969, [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'(
% 0.94/1.38 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__3'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__4'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ), Y ),
% 0.94/1.38 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ] )
% 0.94/1.38 , clause( 970, [ 'c_in'( 'c_ATP__Linkup_Osko__Product__Type__XSigmaE__1__1'(
% 0.94/1.38 X, Y, Z, T, U ), X, T ), ~( 'c_in'( Z, 'c_Product__Type_OSigma'( X, Y, T
% 0.94/1.38 , U ), 'tc_prod'( T, U ) ) ) ] )
% 0.94/1.38 , clause( 971, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.38 , Y, T, T ), Z, 'tc_prod'( T, T ) ), =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y
% 0.94/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 972, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( X,
% 0.94/1.38 Y, Z, T ), Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'(
% 0.94/1.38 T, T ) ), =( Y, Z ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 973, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtranclE__1__1'( Y,
% 0.94/1.38 X, Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), =( X, Z ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.38 X, Z, T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T )
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 974, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.94/1.38 X, Z, T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z,
% 0.94/1.38 U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 975, [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__2'(
% 0.94/1.38 X, Z, T, U ), Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ),
% 0.94/1.38 'tc_prod'( U, U ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.94/1.38 Z, U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 976, [ hBOOL( hAPP( X, Y ) ), 'c_in'( 'c_Pair'( Z,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.94/1.38 T, U ), U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U
% 0.94/1.38 ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ] )
% 0.94/1.38 , clause( 977, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__2'( X, Z,
% 0.94/1.38 T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U
% 0.94/1.38 ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ] )
% 0.94/1.38 , clause( 978, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), 'c_in'(
% 0.94/1.38 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( U, X, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z )
% 0.94/1.38 , 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Osingle__valued'( T, Z, Z ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 979, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), 't_a',
% 0.94/1.38 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a',
% 0.94/1.38 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 980, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xrtrancl__induct__1__1'( X, Z,
% 0.94/1.38 T, U ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Z, Y, U, U )
% 0.94/1.38 , 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) ) ] )
% 0.94/1.38 , clause( 981, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'v_sko__Transitive__Closure__Xrtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.94/1.38 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), =( Y, X ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.38 X, Y, 't_a', 't_a' ), 'c_Transitive__Closure_Ortrancl'( Z, 't_a' ),
% 0.94/1.38 'tc_prod'( 't_a', 't_a' ) ) ) ] )
% 0.94/1.38 , clause( 982, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__rtrancl__induct__1__1'(
% 0.94/1.38 X, Z, T, U ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ), ~( 'c_in'( 'c_Pair'( Y, Z
% 0.94/1.38 , U, U ), 'c_Transitive__Closure_Ortrancl'( T, U ), 'tc_prod'( U, U ) ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 983, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XrtranclE__1__1'( X, Y, Z, T )
% 0.94/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.94/1.38 =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 984, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__rule__1__1'(
% 0.94/1.38 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 985, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__def__1__1'( X, T, U )
% 0.94/1.38 , U, U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ] )
% 0.94/1.38 , clause( 986, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_List_Osko__Recdef__Xtfl__wf__induct__1__1'( X, T, U ), U
% 0.94/1.38 , U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ] )
% 0.94/1.38 , clause( 987, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xwf__induct__1__1'( X, T,
% 0.94/1.38 U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_Wellfounded_Owf'( T, U ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 988, [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'( Z,
% 0.94/1.38 Y ), 'c_ATP__Linkup_Osko__Transitive__Closure__Xirrefl__trancl__rD__1__1'(
% 0.94/1.38 Z, Y ), Y, Y ), 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 989, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( X, Y
% 0.94/1.38 , Z, T ), Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'(
% 0.94/1.38 T, T ) ), 'c_in'( 'c_Pair'( Y, Z, T, T ), X, 'tc_prod'( T, T ) ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X, T ),
% 0.94/1.38 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 990, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), 't_a', 't_a'
% 0.94/1.38 ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a'
% 0.94/1.38 ) ), 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ), Z, 'tc_prod'( 't_a', 't_a'
% 0.94/1.38 ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a', 't_a' ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a', 't_a' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 991, [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ), ~(
% 0.94/1.38 'c_Wellfounded_Oacyclic'( Z, Y ) ) ] )
% 0.94/1.38 , clause( 992, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.38 Y, T, T ), Z, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Y, T, T ), Z,
% 0.94/1.38 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Y, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 993, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclE__1__1'( X, Y, Z, T ),
% 0.94/1.38 T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ), 'tc_prod'( T, T ) ),
% 0.94/1.38 'c_in'( 'c_Pair'( X, Y, T, T ), Z, 'tc_prod'( T, T ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, Y, T, T ), 'c_Transitive__Closure_Otrancl'( Z, T ),
% 0.94/1.38 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 994, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__Xconverse__tranclE__1__1'( Y, X
% 0.94/1.38 , Z, T ), T, T ), Y, 'tc_prod'( T, T ) ), 'c_in'( 'c_Pair'( X, Z, T, T )
% 0.94/1.38 , Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 995, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'v_sko__Transitive__Closure__Xtrancl__Xcases__1'( X, Y, Z ), Y, 't_a',
% 0.94/1.38 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), 'c_in'( 'c_Pair'( X, Y, 't_a',
% 0.94/1.38 't_a' ), Z, 'tc_prod'( 't_a', 't_a' ) ), ~( 'c_in'( 'c_Pair'( X, Y, 't_a'
% 0.94/1.38 , 't_a' ), 'c_Transitive__Closure_Otrancl'( Z, 't_a' ), 'tc_prod'( 't_a'
% 0.94/1.38 , 't_a' ) ) ) ] )
% 0.94/1.38 , clause( 996, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ),
% 0.94/1.38 ~( 'c_in'( Y, U, Z ) ), ~( 'c_lessequals'( 'c_Relation_OImage'( T,
% 0.94/1.38 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.94/1.38 'tc_bool' ) ), Z ), Z, Z ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, Z ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 997, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ),
% 0.94/1.38 ~( 'c_in'( U, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.94/1.38 'c_Relation_OImage'( T, 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T,
% 0.94/1.38 Z ) ) ] )
% 0.94/1.38 , clause( 998, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.38 V0 ), Y, V0, W ), T, 'tc_prod'( V0, W ) ), ~( 'c_in'( 'c_Pair'( X, Y, U,
% 0.94/1.38 W ), 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 999, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__Xrel__compEpair__1__1'( X, Y, Z, T, U, W,
% 0.94/1.38 V0 ), U, V0 ), Z, 'tc_prod'( U, V0 ) ), ~( 'c_in'( 'c_Pair'( X, Y, U, W )
% 0.94/1.38 , 'c_Relation_Orel__comp'( Z, T, U, V0, W ), 'tc_prod'( U, W ) ) ) ] )
% 0.94/1.38 , clause( 1000, [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U
% 0.94/1.38 ) ), 'c_in'( 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T, U ), Y
% 0.94/1.38 , T ) ] )
% 0.94/1.38 , clause( 1001, [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U
% 0.94/1.38 ) ), 'c_in'( 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z, X, T, U )
% 0.94/1.38 , Y, T ) ] )
% 0.94/1.38 , clause( 1002, [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U
% 0.94/1.38 ) ), ~( 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z,
% 0.94/1.38 X, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I__1__1'( Y, Z, X, T
% 0.94/1.38 , U ) ), U ) ) ] )
% 0.94/1.38 , clause( 1003, [ 'c_in'( hAPP( X, Y ), Z, T ), ~( 'c_in'( Y, U, W ) ), ~(
% 0.94/1.38 'c_in'( X, 'c_FuncSet_OPi'( U, 'c_COMBK'( Z, 'tc_fun'( T, 'tc_bool' ), W
% 0.94/1.38 ), W, T ), 'tc_fun'( W, T ) ) ) ] )
% 0.94/1.38 , clause( 1004, [ 'c_in'( X, 'c_FuncSet_OPi'( Y, Z, T, U ), 'tc_fun'( T, U
% 0.94/1.38 ) ), ~( 'c_in'( hAPP( X, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z
% 0.94/1.38 , X, T, U ) ), hAPP( Z, 'c_FuncSet_Osko__FuncSet__XPi__I_H__1__1'( Y, Z,
% 0.94/1.38 X, T, U ) ), U ) ) ] )
% 0.94/1.38 , clause( 1005, [ =( X, 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ),
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XIdE__1__1'( X, Y ), Y, Y ) ), ~( 'c_in'(
% 0.94/1.38 X, 'c_Relation_OId'( Y ), 'tc_prod'( Y, Y ) ) ) ] )
% 0.94/1.38 , clause( 1006, [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__acc__iff__1__1'( X, Y ),
% 0.94/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ] )
% 0.94/1.38 , clause( 1007, [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__wfI__1__1'( X, Y ),
% 0.94/1.38 'c_Wellfounded_Oacc'( X, Y ), Y ) ) ] )
% 0.94/1.38 , clause( 1008, [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( X
% 0.94/1.38 , Y, Z ), X, Z ), ~( 'c_in'( Y, 'c_Relation_OId__on'( X, Z ), 'tc_prod'(
% 0.94/1.38 Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1009, [ =( X, 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ),
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XId__onE__1__1'( Y, X, Z ), Z, Z ) ), ~(
% 0.94/1.38 'c_in'( X, 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1010, [ =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W,
% 0.94/1.38 Y, Z, T, U ) ), 'c_in'( 'c_Pair'( 'c_List_Osko__Recdef__Xcuts__eq__1__1'(
% 0.94/1.38 X, W, Y, Z, T, U ), Z, T, T ), Y, 'tc_prod'( T, T ) ) ] )
% 0.94/1.38 , clause( 1011, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 1012, [ =( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1013, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.94/1.38 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1014, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ), Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X
% 0.94/1.38 ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ), Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1015, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ), Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X
% 0.94/1.38 ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ), Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1016, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'(
% 0.94/1.38 X ), 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1017, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'( 'c_Pair'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , 'c_in'( 'c_Pair'( 'v_sko__Arrow__Order__Mirabelle__XIIA__def__4'( X ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__5'( X ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( X, 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1018, [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.38 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.94/1.38 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.94/1.38 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1019, [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Y, Y ), X ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y
% 0.94/1.38 , Y ), 'tc_bool' ) ), ~( 'c_Relation_Orefl__on'( Z, X, Y ) ) ] )
% 0.94/1.38 , clause( 1020, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.38 'tc_prod'( Z, Z ) ), Z ) ) ] )
% 0.94/1.38 , clause( 1021, [ 'c_Wellfounded_Oacyclic'( 'c_Set_Oinsert'( 'c_Pair'( X, Y
% 0.94/1.38 , Z, Z ), T, 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.94/1.38 'c_Wellfounded_Oacyclic'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1022, [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 Z ), ~( 'c_in'( X, T, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Y, Z ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1023, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ),
% 0.94/1.38 ~( 'c_in'( Y, 'c_Relation_OImage'( U, 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, T ),
% 0.94/1.38 T ) ) ] )
% 0.94/1.38 , clause( 1024, [ 'c_in'( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, U ),
% 0.94/1.38 U ), ~( 'c_in'( 'c_Pair'( Z, X, T, U ), Y, 'tc_prod'( T, U ) ) ) ] )
% 0.94/1.38 , clause( 1025, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 0.94/1.38 , clause( 1026, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 0.94/1.38 , clause( 1027, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T
% 0.94/1.38 , U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ] )
% 0.94/1.38 , clause( 1028, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T,
% 0.94/1.38 Z, Z ), X, 'tc_prod'( Z, Z ) ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U,
% 0.94/1.38 Z ) ) ] )
% 0.94/1.38 , clause( 1029, [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, T, Z, Z ), X, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'(
% 0.94/1.38 T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X
% 0.94/1.38 , Z ) ) ] )
% 0.94/1.38 , clause( 1030, [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.94/1.38 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.94/1.38 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.94/1.38 ), ~( 'c_in'( T, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~(
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), 'c_in'( 'c_Pair'( Y, T, Z, Z )
% 0.94/1.38 , X, 'tc_prod'( Z, Z ) ) ] )
% 0.94/1.38 , clause( 1031, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( Y, X, Z, T ),
% 0.94/1.38 T, T ), Y, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( X, Z, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( Y, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1032, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( X, Y, Z, T )
% 0.94/1.38 , Z, T, T ), X, 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, T, T ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( X, T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1033, [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ),
% 0.94/1.38 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.94/1.38 , T ), T ) ) ] )
% 0.94/1.38 , clause( 1034, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z ),
% 0.94/1.38 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ] )
% 0.94/1.38 , clause( 1035, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1036, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.94/1.38 ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ] )
% 0.94/1.38 , clause( 1037, [ ~( 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ),
% 0.94/1.38 'c_Wellfounded_Oacc'( X, Z ), Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X,
% 0.94/1.38 Z ), Z ) ] )
% 0.94/1.38 , clause( 1038, [ hBOOL( hAPP( X, Y ) ), 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ),
% 0.94/1.38 'c_Wellfounded_Oacc'( Z, T ), T ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z
% 0.94/1.38 , T ), T ) ) ] )
% 0.94/1.38 , clause( 1039, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Wellfounded_Oacc'( Z, 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1040, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.94/1.38 ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( Z, T ), T ) ) ] )
% 0.94/1.38 , clause( 1041, [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'(
% 0.94/1.38 X, Y, Z, T, U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U )
% 0.94/1.38 , U ) ) ] )
% 0.94/1.38 , clause( 1042, [ 'c_in'( 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X
% 0.94/1.38 , Y, Z, T, U ), X, T ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U ),
% 0.94/1.38 U ) ) ] )
% 0.94/1.38 , clause( 1043, [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Set_Oinsert'( 'c_Pair'( Z, T, Y, Y ), X, 'tc_prod'( Y, Y ) ), Y ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 1044, [ 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( X, Y, Z ), X, Z ),
% 0.94/1.38 ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ] )
% 0.94/1.38 , clause( 1045, [ 'c_in'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( X, Y, Z ), X,
% 0.94/1.38 Z ), ~( 'c_in'( T, X, Z ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ) ] )
% 0.94/1.38 , clause( 1046, [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( Z, U, W, W ), V0, 'tc_prod'( W, W ) ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Y, T, V1, V1 ), V2, 'tc_prod'( V1, V1 ) ) ), ~(
% 0.94/1.38 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W, V3 ) ) ] )
% 0.94/1.38 , clause( 1047, [ ~( =( hAPP( X,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ) ), hAPP(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ), Y ) ) ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ) ] )
% 0.94/1.38 , clause( 1048, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.94/1.38 , clause( 1049, [ =( 'c_Relation_ODomain'( 'c_Set_Oinsert'( 'c_Pair'( X, Y
% 0.94/1.38 , Z, T ), U, 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( X,
% 0.94/1.38 'c_Relation_ODomain'( U, Z, T ), Z ) ) ] )
% 0.94/1.38 , clause( 1050, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.94/1.38 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.94/1.38 , clause( 1051, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.94/1.38 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.94/1.38 , clause( 1052, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.94/1.38 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.94/1.38 , clause( 1053, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.94/1.38 hAPP( Y, T ) ) ) ] )
% 0.94/1.38 , clause( 1054, [ =( 'c_Relation_ORange'( 'c_Set_Oinsert'( 'c_Pair'( X, Y,
% 0.94/1.38 Z, T ), U, 'tc_prod'( Z, T ) ), Z, T ), 'c_Set_Oinsert'( Y,
% 0.94/1.38 'c_Relation_ORange'( U, Z, T ), T ) ) ] )
% 0.94/1.38 , clause( 1055, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X
% 0.94/1.38 , Z, T ) ) ] )
% 0.94/1.38 , clause( 1056, [ 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ), ~( 'c_in'( X
% 0.94/1.38 , Z, T ) ) ] )
% 0.94/1.38 , clause( 1057, [ 'c_in'( X, Y, Z ), =( X, T ), ~( 'c_in'( X,
% 0.94/1.38 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ] )
% 0.94/1.38 , clause( 1058, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 0.94/1.38 , clause( 1059, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 0.94/1.38 , clause( 1060, [ 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ] )
% 0.94/1.38 , clause( 1061, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T,
% 0.94/1.38 Z ) ) ), 'c_in'( X, T, Z ), 'c_in'( X, Y, Z ), =( Y, T ) ] )
% 0.94/1.38 , clause( 1062, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( 'c_in'( X, Y, Z )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1063, [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ),
% 0.94/1.38 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( 't_a', 't_b' ), 'v_r'
% 0.94/1.38 ), 't_b', 't_a' ) ) ] )
% 0.94/1.38 , clause( 1064, [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U )
% 0.94/1.38 , ~( 'c_in'( Z, W, V0 ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V1, X, Y
% 0.94/1.38 , V0, T, U ) ), ~( 'c_Equiv__Relations_Oequiv'( W, V1, V0 ) ) ] )
% 0.94/1.38 , clause( 1065, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__3'( X ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1066, [ 'c_Arrow__Order__Mirabelle_OIIA'( X ), 'c_in'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__2'( X ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1067, [ 'c_Arrow__Order__Mirabelle_Odictator'( X, Y ), 'c_in'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xdictator__def__1'( X, Y ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1068, [ 'c_Nitpick_Orefl_H'( X, Y ), ~( 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ),
% 0.94/1.38 'c_Nitpick_Osko__Nitpick__Xrefl_H__def__1__1'( X, Y ), Y, Y ), X,
% 0.94/1.38 'tc_prod'( Y, Y ) ) ) ] )
% 0.94/1.38 , clause( 1069, [ 'c_Arrow__Order__Mirabelle_Ounanimity'( X ), 'c_in'(
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__2'( X ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1070, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, T, Z ), Z,
% 0.94/1.38 Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~(
% 0.94/1.38 'c_Wellfounded_Owf'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1071, [ ~( 'c_in'( X, Y, Z ) ), ~( 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, T, Z ), Z, Z ), T
% 0.94/1.38 , 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( U, Y, Z ) ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 T, Z ) ) ] )
% 0.94/1.38 , clause( 1072, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( X, Y, Z, T, U ), Y, T
% 0.94/1.38 , U ), Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T
% 0.94/1.38 , U ), U ) ) ] )
% 0.94/1.38 , clause( 1073, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( X, Y, Z, T, U ), Y, T, U )
% 0.94/1.38 , Z, 'tc_prod'( T, U ) ), ~( 'c_in'( Y, 'c_Relation_OImage'( Z, X, T, U )
% 0.94/1.38 , U ) ) ] )
% 0.94/1.38 , clause( 1074, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( X, Y, Z, T ), Z, T )
% 0.94/1.38 , Y, 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ),
% 0.94/1.38 Z ) ) ] )
% 0.94/1.38 , clause( 1075, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( X, Y, Z, T ), Z, T ), Y,
% 0.94/1.38 'tc_prod'( Z, T ) ), ~( 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1076, [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T
% 0.94/1.38 , 't_a' ), 't_a' ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.38 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.38 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.94/1.38 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1077, [ hBOOL( hAPP( X, Y ) ), 'c_in'( Z, 'c_Wellfounded_Oacc'( T
% 0.94/1.38 , 't_a' ), 't_a' ), ~( 'c_in'( 'c_Pair'( Z,
% 0.94/1.38 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ), T,
% 0.94/1.38 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'( T,
% 0.94/1.38 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1078, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), 'c_in'(
% 0.94/1.38 'c_Pair'( 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Y, X, Z
% 0.94/1.38 ), X, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ] )
% 0.94/1.38 , clause( 1079, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T
% 0.94/1.38 , U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Wellfounded_Oacc'( T, U ), U ) ) ] )
% 0.94/1.38 , clause( 1080, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a',
% 0.94/1.38 't_a' ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Wellfounded_Oacc'( T, 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1081, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a'
% 0.94/1.38 ), T, 'tc_prod'( 't_a', 't_a' ) ) ), ~( 'c_in'( Y, 'c_Wellfounded_Oacc'(
% 0.94/1.38 T, 't_a' ), 't_a' ) ) ] )
% 0.94/1.38 , clause( 1082, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Z, 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'(
% 0.94/1.38 X, T, U ), U, U ), T, 'tc_prod'( U, U ) ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Wellfounded_Oacc'( T, U ), U ) ) ] )
% 0.94/1.38 , clause( 1083, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( X, Y, Z ), Y, Z
% 0.94/1.38 , Z ), X, 'tc_prod'( Z, Z ) ), 'c_in'( Y, 'c_Wellfounded_Oacc'( X, Z ), Z
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1084, [ 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( X, Y, Z,
% 0.94/1.38 Z ), T, 'tc_prod'( Z, Z ) ), Z ), 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~(
% 0.94/1.38 'c_Wellfounded_Owf'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1085, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Wellfounded_Owf'( 'c_Set_Oinsert'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.38 'tc_prod'( Z, Z ) ), Z ) ) ] )
% 0.94/1.38 , clause( 1086, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( X, Y, Z, T ), X, T, Z
% 0.94/1.38 ), Y, 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 'c_Relation_ORange'( Y, T, Z )
% 0.94/1.38 , Z ) ) ] )
% 0.94/1.38 , clause( 1087, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( X, Y, Z, T ), X, T, Z ), Y
% 0.94/1.38 , 'tc_prod'( T, Z ) ), ~( 'c_in'( X, 'c_Relation_ORange'( Y, T, Z ), Z )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1088, [ 'c_in'( 'c_Pair'(
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1'( X, Y, Z, T ),
% 0.94/1.38 Z, T, T ), 'c_Transitive__Closure_Ortrancl'( X, T ), 'tc_prod'( T, T ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, Z, T, T ), 'c_Transitive__Closure_Otrancl'( X,
% 0.94/1.38 T ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1089, [ 'c_in'( 'c_Pair'( X,
% 0.94/1.38 'c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1'( Y, X, Z, T )
% 0.94/1.38 , T, T ), 'c_Transitive__Closure_Ortrancl'( Y, T ), 'tc_prod'( T, T ) ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( X, Z, T, T ), 'c_Transitive__Closure_Otrancl'( Y, T
% 0.94/1.38 ), 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1090, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.38 , U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z )
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 1091, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z
% 0.94/1.38 , Z ) ) ) ] )
% 0.94/1.38 , clause( 1092, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.38 , U, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1093, [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.94/1.38 W ) ), ~( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1094, [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.94/1.38 W ) ), ~( 'c_in'( 'c_Pair'( W, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1095, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ), 'c_in'(
% 0.94/1.38 X, 'c_Relation_ODomain'( T, Z, Z ), Z ) ] )
% 0.94/1.38 , clause( 1096, [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, Z ), Z ), 'c_in'(
% 0.94/1.38 'c_Pair'( X, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ] )
% 0.94/1.38 , clause( 1097, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, T, Z, Z ), 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1098, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.38 T, 'c_Wellfounded_Oacc'( Y, Z ), Z ) ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z )
% 0.94/1.38 , 'c_Transitive__Closure_Ortrancl'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1099, [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ] )
% 0.94/1.38 , clause( 1100, [ 'c_Relation_Osym'( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.38 Y ), X ), ~( 'c_Relation_Osym'( Y, X ) ) ] )
% 0.94/1.38 , clause( 1101, [ 'c_Relation_Orefl__on'( X, Y, Z ), ~(
% 0.94/1.38 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1102, [ 'c_Relation_Orefl__on'( X, hAPP( 'c_Relation_Oconverse'(
% 0.94/1.38 Y, Y ), Z ), Y ), ~( 'c_Relation_Orefl__on'( X, Z, Y ) ) ] )
% 0.94/1.38 , clause( 1103, [ =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ), ~(
% 0.94/1.38 'c_Relation_Osym'( Y, X ) ) ] )
% 0.94/1.38 , clause( 1104, [ ~( =( hAPP( 'c_Relation_Oconverse'( X, X ), Y ), Y ) ),
% 0.94/1.38 'c_Relation_Osym'( Y, X ) ] )
% 0.94/1.38 , clause( 1105, [ =( hAPP( 'c_Relation_Oconverse'( X, Y ),
% 0.94/1.38 'c_Relation_Orel__comp'( Z, T, X, U, Y ) ), 'c_Relation_Orel__comp'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( U, Y ), T ), hAPP( 'c_Relation_Oconverse'( X, U )
% 0.94/1.38 , Z ), Y, U, X ) ) ] )
% 0.94/1.38 , clause( 1106, [ =( hAPP( 'c_Relation_Oconverse'( X, X ), 'c_Relation_OId'(
% 0.94/1.38 X ) ), 'c_Relation_OId'( X ) ) ] )
% 0.94/1.38 , clause( 1107, [ =( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.38 'c_Relation_Oinv__image'( Y, Z, T, X ) ), 'c_Relation_Oinv__image'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( T, T ), Y ), Z, T, X ) ) ] )
% 0.94/1.38 , clause( 1108, [ =( 'c_Transitive__Closure_Otrancl'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( X, X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X
% 0.94/1.38 , X ), 'c_Transitive__Closure_Otrancl'( Y, X ) ) ) ] )
% 0.94/1.38 , clause( 1109, [ =( hAPP( 'c_Relation_Oconverse'( X, X ),
% 0.94/1.38 'c_Relation_OId__on'( Y, X ) ), 'c_Relation_OId__on'( Y, X ) ) ] )
% 0.94/1.38 , clause( 1110, [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.94/1.38 hAPP( 'c_Relation_Oconverse'( Y, Y ), X ), Y ) ) ] )
% 0.94/1.38 , clause( 1111, [ 'c_Relation_Oantisym'( hAPP( 'c_Relation_Oconverse'( X, X
% 0.94/1.38 ), Y ), X ), ~( 'c_Relation_Oantisym'( Y, X ) ) ] )
% 0.94/1.38 , clause( 1112, [ =( 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( X, X ), Y ), X ), hAPP( 'c_Relation_Oconverse'( X
% 0.94/1.38 , X ), 'c_Transitive__Closure_Ortrancl'( Y, X ) ) ) ] )
% 0.94/1.38 , clause( 1113, [ 'c_Relation_Ototal__on'( X, Y, Z ), ~(
% 0.94/1.38 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'( Z, Z ), Y ), Z
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 1114, [ 'c_Relation_Ototal__on'( X, hAPP( 'c_Relation_Oconverse'(
% 0.94/1.38 Y, Y ), Z ), Y ), ~( 'c_Relation_Ototal__on'( X, Z, Y ) ) ] )
% 0.94/1.38 , clause( 1115, [ 'c_in'( X, 'c_Transitive__Closure_Ortrancl'( Y, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1116, [ 'c_in'( X, 'c_Transitive__Closure_Otrancl'( Y, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ), ~( 'c_in'( X, Y, 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1117, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z
% 0.94/1.38 , Z ) ) ) ] )
% 0.94/1.38 , clause( 1118, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.38 , U, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z )
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 1119, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), =( X, Y ) ] )
% 0.94/1.38 , clause( 1120, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), =( X, Y ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.38 ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1121, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), =( X, Y ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z
% 0.94/1.38 ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1122, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1123, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1124, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1125, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~(
% 0.94/1.38 'c_Wellfounded_Owf'( Y, Z ) ) ] )
% 0.94/1.38 , clause( 1126, [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y
% 0.94/1.38 ), Y ), ~( 'c_Relation_Osym'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1127, [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.38 X, Y ), Y, Y ), 'c_Relation_ODomain'( X, Y, Y ) ) ] )
% 0.94/1.38 , clause( 1128, [ 'c_Arrow__Order__Mirabelle_Ounanimity'( 'v_F' ) ] )
% 0.94/1.38 , clause( 1129, [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ] )
% 0.94/1.38 , clause( 1130, [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X,
% 0.94/1.38 X, Z ), Y ) ] )
% 0.94/1.38 , clause( 1131, [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z,
% 0.94/1.38 Y, Y ), X ) ] )
% 0.94/1.38 , clause( 1132, [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1133, [ 'c_Wellfounded_Owf'( hAPP( 'c_Relation_Oconverse'( X, X )
% 0.94/1.38 , 'c_Transitive__Closure_Otrancl'( Y, X ) ), X ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 hAPP( 'c_Relation_Oconverse'( X, X ), Y ), X ) ) ] )
% 0.94/1.38 , clause( 1134, [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.94/1.38 ), Y ), ~( 'c_Relation_Osym'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1135, [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y
% 0.94/1.38 , Y ), Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1136, [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.94/1.38 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ] )
% 0.94/1.38 , clause( 1137, [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X )
% 0.94/1.38 , Y ) ] )
% 0.94/1.38 , clause( 1138, [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y
% 0.94/1.38 , Y ), X ) ] )
% 0.94/1.38 , clause( 1139, [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.38 X, Y ), Y, Y ), 'c_Relation_ORange'( X, Y, Y ) ) ] )
% 0.94/1.38 , clause( 1140, [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ] )
% 0.94/1.38 , clause( 1141, [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ),
% 0.94/1.38 Y ) ] )
% 0.94/1.38 , clause( 1142, [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T
% 0.94/1.38 ), T ), ~( 'c_Wellfounded_Owf'( X, Z ) ) ] )
% 0.94/1.38 , clause( 1143, [ =( 'c_Relation_Orel__comp'( X,
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.94/1.38 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.94/1.38 Y, Y ) ) ] )
% 0.94/1.38 , clause( 1144, [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T )
% 0.94/1.38 , T ), ~( 'c_Relation_Osym'( X, Z ) ) ] )
% 0.94/1.38 , clause( 1145, [ =( 'c_Transitive__Closure_Otrancl'(
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1146, [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X,
% 0.94/1.38 Y ), Y ), ~( 'c_Wellfounded_Owf'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1147, [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y
% 0.94/1.38 , Z, T, U ), W, Z, U, V0 ), 'c_Relation_Orel__comp'( X,
% 0.94/1.38 'c_Relation_Orel__comp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ] )
% 0.94/1.38 , clause( 1148, [ 'c_Arrow__Order__Mirabelle_OIIA'( 'v_F' ) ] )
% 0.94/1.38 , clause( 1149, [ ~( =( 'c_Relation_Orel__comp'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( X, X ), Y ), Y, X, X, X ), Y ) ),
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( Y, X, X ), Y, X ) ] )
% 0.94/1.38 , clause( 1150, [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ] )
% 0.94/1.38 , clause( 1151, [ =( 'c_Relation_ORange'( hAPP( 'c_Relation_Oconverse'( X,
% 0.94/1.38 Y ), Z ), Y, X ), 'c_Relation_ODomain'( Z, X, Y ) ) ] )
% 0.94/1.38 , clause( 1152, [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y,
% 0.94/1.38 Y ), X ) ] )
% 0.94/1.38 , clause( 1153, [ =( 'c_Relation_Orel__comp'( hAPP( 'c_Relation_Oconverse'(
% 0.94/1.38 X, X ), Y ), Y, X, X, X ), Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, Y, X )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1154, [ =( 'c_Relation_Orel__comp'(
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1155, [ 'c_Relation_Orefl__on'( X, Y, Z ), ~(
% 0.94/1.38 'c_Equiv__Relations_Oequiv'( X, Y, Z ) ) ] )
% 0.94/1.38 , clause( 1156, [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.94/1.38 Z, X, Y ) ) ] )
% 0.94/1.38 , clause( 1157, [ =( 'c_Relation_ODomain'( hAPP( 'c_Relation_Oconverse'( X
% 0.94/1.38 , Y ), Z ), Y, X ), 'c_Relation_ORange'( Z, X, Y ) ) ] )
% 0.94/1.38 , clause( 1158, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.38 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.94/1.38 Y, Y ) ) ] )
% 0.94/1.38 , clause( 1159, [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.94/1.38 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y ), Y,
% 0.94/1.38 Y, Y ) ) ] )
% 0.94/1.38 , clause( 1160, [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.94/1.38 hAPP( 'c_Relation_Oconverse'( Y, Z ), X ), Z, Y ) ) ] )
% 0.94/1.38 , clause( 1161, [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( X, Y ), Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1162, [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ] )
% 0.94/1.38 , clause( 1163, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ), T, 'tc_prod'( Z
% 0.94/1.38 , Z ) ) ) ] )
% 0.94/1.38 , clause( 1164, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1165, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Ortrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1166, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.94/1.38 , clause( 1167, [ 'c_in'( 'c_Pair'( X, X, Y, Y ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_prod'( Y, Y ) ) ] )
% 0.94/1.38 , clause( 1168, [ ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Wellfounded_Owf'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1169, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z
% 0.94/1.38 , Z ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1170, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z
% 0.94/1.38 , Z ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1171, [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( 'c_in'( 'c_Pair'( Y,
% 0.94/1.38 Z, T, T ), U, 'tc_prod'( T, T ) ) ), ~( 'c_Equiv__Relations_Ocongruent'(
% 0.94/1.38 U, X, T, W ) ) ] )
% 0.94/1.38 , clause( 1172, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Relation_OId__on'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1173, [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'(
% 0.94/1.38 W, Y, Z, T, U ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( V0, Z, T, T ), Y, 'tc_prod'( T, T ) ) ) ] )
% 0.94/1.38 , clause( 1174, [ =( X, Y ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Relation_OId'( Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1175, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ),
% 0.94/1.38 ~( 'c_Nitpick_Orefl_H'( Z, Y ) ) ] )
% 0.94/1.38 , clause( 1176, [ ~( 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) )
% 0.94/1.38 ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ] )
% 0.94/1.38 , clause( 1177, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), 'c_Relation_Oinv__image'(
% 0.94/1.38 T, U, W, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( hAPP( U, X ),
% 0.94/1.38 hAPP( U, Y ), W, W ), T, 'tc_prod'( W, W ) ) ) ] )
% 0.94/1.38 , clause( 1178, [ 'c_in'( 'c_Pair'( hAPP( X, Y ), hAPP( X, Z ), T, T ), U,
% 0.94/1.38 'tc_prod'( T, T ) ), ~( 'c_in'( 'c_Pair'( Y, Z, W, W ),
% 0.94/1.38 'c_Relation_Oinv__image'( U, X, T, W ), 'tc_prod'( W, W ) ) ) ] )
% 0.94/1.38 , clause( 1179, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Relation_Osym'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1180, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~(
% 0.94/1.38 'c_Relation_Osym'( T, Z ) ) ] )
% 0.94/1.38 , clause( 1181, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Relation_Orel__comp'(
% 0.94/1.38 U, W, Z, V0, T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( 'c_Pair'( V1, Y, V0, T
% 0.94/1.38 ), W, 'tc_prod'( V0, T ) ) ), ~( 'c_in'( 'c_Pair'( X, V1, Z, V0 ), U,
% 0.94/1.38 'tc_prod'( Z, V0 ) ) ) ] )
% 0.94/1.38 , clause( 1182, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X
% 0.94/1.38 , U, Z, Z ), T, 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1183, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, Y, Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ),
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( 'c_Pair'( X, U, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1184, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_prod'( Y, Y ) ) ] )
% 0.94/1.38 , clause( 1185, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId'( Y ),
% 0.94/1.38 'tc_prod'( Y, Y ) ) ] )
% 0.94/1.38 , clause( 1186, [ 'c_in'( hAPP( X, Y ), hAPP( Z, Y ), T ), ~( 'c_in'( Y, U
% 0.94/1.38 , W ) ), ~( 'c_in'( X, 'c_FuncSet_OPi'( U, Z, W, T ), 'tc_fun'( W, T ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1187, [ ~( 'c_in'( X, Y, Z ) ), 'c_in'( hAPP( T, X ), hAPP( U, X
% 0.94/1.38 ), W ), ~( 'c_in'( T, 'c_FuncSet_OPi'( Y, U, Z, W ), 'tc_fun'( Z, W ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1188, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( X, T ) ] )
% 0.94/1.38 , clause( 1189, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( Y, T ), =( X, T ) ] )
% 0.94/1.38 , clause( 1190, [ ~( 'c_in'( 'c_Pair'( X, X,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omktop'( Y, X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1191, [ ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omktop'( Z, X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1192, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , =( Y, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ] )
% 0.94/1.38 , clause( 1193, [ =( X, Y ), =( Y, X ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omkbot'( Z, X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1194, [ ~( 'c_in'( 'c_Pair'( X, X,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omkbot'( Y, X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1195, [ ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omkbot'( Z, Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1196, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, Y ), =( Y, T ) ] )
% 0.94/1.38 , clause( 1197, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ), Z
% 0.94/1.38 , 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), =( X, T ), =( Y, T ) ] )
% 0.94/1.38 , clause( 1198, [ =( X, Y ), =( X, Y ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_Omktop'( Z, Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1199, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), Z, 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , =( X, T ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), 'c_Arrow__Order__Mirabelle_Omkbot'(
% 0.94/1.38 Z, T ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ] )
% 0.94/1.38 , clause( 1200, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1'( X, Y ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , =( X, Y ) ] )
% 0.94/1.38 , clause( 1201, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.94/1.38 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( X, Y ) ] )
% 0.94/1.38 , clause( 1202, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.94/1.38 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( Y, X ) ] )
% 0.94/1.38 , clause( 1203, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T, 'v_sko__local__X3__1'( Z, T
% 0.94/1.38 , X, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( Z, 'v_sko__local__X3__1'( Z, T, X, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( X, Y ) ] )
% 0.94/1.38 , clause( 1204, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( Y, X, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X3__1'( T, Z
% 0.94/1.38 , Y, X ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( Y, X,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( T, 'v_sko__local__X3__1'( T, Z, Y, X ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( Y, X ) ] )
% 0.94/1.38 , clause( 1205, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ] )
% 0.94/1.38 , clause( 1206, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ] )
% 0.94/1.38 , clause( 1207, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, T, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ] )
% 0.94/1.38 , clause( 1208, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, U ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( U,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__XIIA__def__1'( X, Y, U, T ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( T, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( U, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_OIIA'( Z ) ) ] )
% 0.94/1.38 , clause( 1209, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, T ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( T,
% 0.94/1.38 'v_sko__Arrow__Order__Mirabelle__Xunanimity__def__1'( X, Y, T ) ),
% 0.94/1.38 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( T,
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Ounanimity'( Z ) ) ] )
% 0.94/1.38 , clause( 1210, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.94/1.38 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ] )
% 0.94/1.38 , clause( 1211, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.94/1.38 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ] )
% 0.94/1.38 , clause( 1212, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( W, 'v_sko__local__X2__1'( Z, W
% 0.94/1.38 , X, T, Y, U ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( X, Y,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( Z, 'v_sko__local__X2__1'( Z, W, X, T, Y, U ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( Y, T ), =( X, U ), =( T, U ), =( X, Y ) ] )
% 0.94/1.38 , clause( 1213, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X2__1'( W, Z
% 0.94/1.38 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( W, 'v_sko__local__X2__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ] )
% 0.94/1.38 , clause( 1214, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.94/1.38 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ), ~( 'c_in'( 'c_Pair'( T, U,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ] )
% 0.94/1.38 , clause( 1215, [ 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt'
% 0.94/1.38 , 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', Z ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( T, U, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_F', W ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ), 'c_in'( 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( Z, 'v_sko__local__X1__1'( W, Z
% 0.94/1.38 , T, X, U, Y ) ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_in'( 'c_Pair'( T, U,
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( W, 'v_sko__local__X1__1'( W, Z, T, X, U, Y ) ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( Z, 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_in'( W, 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), =( U, X ), =( T, Y ), =( X, Y ), =( T, U ) ] )
% 0.94/1.38 , clause( 1216, [ =( hAPP( X, Y ), hAPP( Y, Z ) ), ~( 'c_in'( Y,
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ), ~( 'c_Arrow__Order__Mirabelle_Odictator'( X, Z ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 1217, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'(
% 0.94/1.38 U, W, Z, T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~(
% 0.94/1.38 'c_in'( X, U, Z ) ) ] )
% 0.94/1.38 , clause( 1218, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), 'c_Product__Type_OSigma'(
% 0.94/1.38 U, W, Z, T ), 'tc_prod'( Z, T ) ), ~( 'c_in'( Y, hAPP( W, X ), T ) ), ~(
% 0.94/1.38 'c_in'( X, U, Z ) ) ] )
% 0.94/1.38 , clause( 1219, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T,
% 0.94/1.38 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ] )
% 0.94/1.38 , clause( 1220, [ 'c_in'( X, 'c_Wellfounded_Oacc'( Y, Z ), Z ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( X, T, Z, Z ), Y, 'tc_prod'( Z, Z ) ) ), ~( 'c_in'( T,
% 0.94/1.38 'c_Wellfounded_Oacc'( Y, Z ), Z ) ) ] )
% 0.94/1.38 , clause( 1221, [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z
% 0.94/1.38 , T ) ) ] )
% 0.94/1.38 , clause( 1222, [ 'c_in'( X, 'c_Relation_OImage'( Y, Z, T, U ), U ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( W, X, T, U ), Y, 'tc_prod'( T, U ) ) ), ~( 'c_in'( W, Z
% 0.94/1.38 , T ) ) ] )
% 0.94/1.38 , clause( 1223, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ),
% 0.94/1.38 'c_Relation_OId__on'( Y, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1224, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), 'c_Relation_OId__on'( Z,
% 0.94/1.38 Y ), 'tc_prod'( Y, Y ) ), ~( 'c_in'( X, Z, Y ) ) ] )
% 0.94/1.38 , clause( 1225, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ] )
% 0.94/1.38 , clause( 1226, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Equiv__Relations_Oequiv'( Y, U, Z ) ) ] )
% 0.94/1.38 , clause( 1227, [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ] )
% 0.94/1.38 , clause( 1228, [ 'c_in'( X, 'c_Relation_ORange'( Y, Z, T ), T ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( U, X, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ] )
% 0.94/1.38 , clause( 1229, [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ] )
% 0.94/1.38 , clause( 1230, [ 'c_in'( X, 'c_Relation_ODomain'( Y, Z, T ), Z ), ~(
% 0.94/1.38 'c_in'( 'c_Pair'( X, U, Z, T ), Y, 'tc_prod'( Z, T ) ) ) ] )
% 0.94/1.38 , clause( 1231, [ 'c_in'( X, hAPP( Y, Z ), T ), ~( 'c_in'( 'c_Pair'( Z, X,
% 0.94/1.38 U, T ), 'c_Product__Type_OSigma'( W, Y, U, T ), 'tc_prod'( U, T ) ) ) ]
% 0.94/1.38 )
% 0.94/1.38 , clause( 1232, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, U ),
% 0.94/1.38 'c_Product__Type_OSigma'( Y, W, Z, U ), 'tc_prod'( Z, U ) ) ) ] )
% 0.94/1.38 , clause( 1233, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), T, 'tc_prod'( Z, Z ) ),
% 0.94/1.38 'c_in'( 'c_Pair'( Y, X, Z, Z ), T, 'tc_prod'( Z, Z ) ), =( Y, X ), ~(
% 0.94/1.38 'c_in'( X, U, Z ) ), ~( 'c_in'( Y, U, Z ) ), ~( 'c_Relation_Ototal__on'(
% 0.94/1.38 U, T, Z ) ) ] )
% 0.94/1.38 , clause( 1234, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ),
% 0.94/1.38 ~( 'c_in'( X, T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ] )
% 0.94/1.38 , clause( 1235, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( T, X, Z, Z ), U,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ] )
% 0.94/1.38 , clause( 1236, [ 'c_in'( X, Y, Z ), ~( 'c_in'( 'c_Pair'( X, T, Z, Z ), U,
% 0.94/1.38 'tc_prod'( Z, Z ) ) ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ) ] )
% 0.94/1.38 , clause( 1237, [ 'c_in'( 'c_Pair'( X, X, Y, Y ), Z, 'tc_prod'( Y, Y ) ),
% 0.94/1.38 ~( 'c_in'( X, T, Y ) ), ~( 'c_Relation_Orefl__on'( T, Z, Y ) ) ] )
% 0.94/1.38 , clause( 1238, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.94/1.38 ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ) )
% 0.94/1.38 , 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1239, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ), hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Z, Z ), 'c_Transitive__Closure_Otrancl'( T, Z ) )
% 0.94/1.38 , 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Otrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.94/1.38 ), Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1240, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Y, X, Z, Z ), 'c_Transitive__Closure_Ortrancl'( hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Z, Z ), T ), Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1241, [ 'c_in'( 'c_Pair'( X, Y, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( hAPP( 'c_Relation_Oconverse'( Z, Z ), T
% 0.94/1.38 ), Z ), 'tc_prod'( Z, Z ) ), ~( 'c_in'( 'c_Pair'( Y, X, Z, Z ),
% 0.94/1.38 'c_Transitive__Closure_Ortrancl'( T, Z ), 'tc_prod'( Z, Z ) ) ) ] )
% 0.94/1.38 , clause( 1242, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 0.94/1.38 , clause( 1243, [ 'c_in'( 'v_P____', 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1244, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) )
% 0.94/1.38 ), =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'(
% 0.94/1.38 T, U, V3, V1, V4 ), W ) ) ] )
% 0.94/1.38 , clause( 1245, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W,
% 0.94/1.38 V0, V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 )
% 0.94/1.38 ) ) ] )
% 0.94/1.38 , clause( 1246, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.94/1.38 , =( Y, W ) ] )
% 0.94/1.38 , clause( 1247, [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) )
% 0.94/1.38 , =( X, U ) ] )
% 0.94/1.38 , clause( 1248, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( T, Z ), U ), 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ) ] )
% 0.94/1.38 , clause( 1249, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( T, Z ), U ), 'tc_prod'( Z, T ) ), ~( 'c_in'(
% 0.94/1.38 'c_Pair'( Y, X, T, Z ), U, 'tc_prod'( T, Z ) ) ) ] )
% 0.94/1.38 , clause( 1250, [ 'c_in'( 'c_Pair'( X, Y, Z, T ), U, 'tc_prod'( Z, T ) ),
% 0.94/1.38 ~( 'c_in'( 'c_Pair'( Y, X, T, Z ), hAPP( 'c_Relation_Oconverse'( Z, T ),
% 0.94/1.38 U ), 'tc_prod'( T, Z ) ) ) ] )
% 0.94/1.38 , clause( 1251, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U,
% 0.94/1.38 V0, W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) )
% 0.94/1.38 ] )
% 0.94/1.38 , clause( 1252, [ 'c_in'( 'c_Pair'( 'v_a____', 'v_b____',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_P____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.94/1.38 'v_c____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P_H____', X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1253, [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_a____',
% 0.94/1.38 'v_b____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'v_P____', X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1254, [ ~( =( 'v_b____', 'v_c____' ) ) ] )
% 0.94/1.38 , clause( 1255, [ =( hAPP( 'c_Relation_Oconverse'( X, Y ), hAPP(
% 0.94/1.38 'c_Relation_Oconverse'( Y, X ), Z ) ), Z ) ] )
% 0.94/1.38 , clause( 1256, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T
% 0.94/1.38 , U, W ), Z ) ) ] )
% 0.94/1.38 , clause( 1257, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.94/1.38 hAPP( Y, W ) ) ) ] )
% 0.94/1.38 , clause( 1258, [ 'c_in'( 'v_P_H____', 'c_Arrow__Order__Mirabelle_OProf',
% 0.94/1.38 'tc_fun'( 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1259, [ 'c_in'( X, Y, Z ), ~( hBOOL( hAPP( Y, X ) ) ) ] )
% 0.94/1.38 , clause( 1260, [ hBOOL( hAPP( X, Y ) ), ~( 'c_in'( Y, X, Z ) ) ] )
% 0.94/1.38 , clause( 1261, [ ~( =( 'v_a____', 'v_c____' ) ) ] )
% 0.94/1.38 , clause( 1262, [ 'c_in'( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ),
% 0.94/1.38 'c_Arrow__Order__Mirabelle_OProf', 'tc_fun'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ) ) ) ] )
% 0.94/1.38 , clause( 1263, [ =( 'v_b____', 'v_a____' ) ] )
% 0.94/1.38 , clause( 1264, [ 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ), ~( 'c_in'( 'c_Pair'( 'v_b____',
% 0.94/1.38 'v_a____', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), hAPP( 'c_Fun_Ocomp'(
% 0.94/1.38 'c_Relation_Oconverse'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'v_P____', 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ), 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ),
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 ) ] )
% 0.94/1.38 , clause( 1265, [ 'c_in'( 'c_Pair'( 'v_b____', 'v_a____',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'c_Fun_Ocomp'( 'c_Relation_Oconverse'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'v_P____', 'tc_fun'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ), 'tc_bool' ), 'tc_fun'( 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 'tc_bool' ), 'tc_Arrow__Order__Mirabelle_Oindi' ), X ), 'tc_prod'(
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.94/1.38 , ~( 'c_in'( 'c_Pair'( 'v_b____', 'v_c____',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.94/1.38 hAPP( 'v_P_H____', X ), 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.94/1.38 'tc_Arrow__Order__Mirabelle_Oalt' ) ) ) ] )
% 0.94/1.38 , clause( 1266, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 0.94/1.38 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.94/1.38 , clause( 1267, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 0.94/1.38 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.94/1.38 , clause( 1268, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 0.94/1.38 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 0.94/1.38 , clause( 1269, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.94/1.38 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.94/1.38 , clause( 1270, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.38 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.94/1.38 , clause( 1271, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.38 'class_Lattices_Olattice'( Y ) ) ] )
% 0.94/1.38 , clause( 1272, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.38 'class_Orderings_Oorder'( Y ) ) ] )
% 0.94/1.38 , clause( 1273, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.94/1.38 'class_Orderings_Obot'( Y ) ) ] )
% 0.94/1.38 , clause( 1274, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'(
% 0.94/1.38 Y ) ) ] )
% 0.94/1.38 , clause( 1275, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.94/1.38 , clause( 1276, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 0.94/1.38 , clause( 1277, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 0.94/1.38 , clause( 1278, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.94/1.38 , clause( 1279, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.94/1.38 , clause( 1280, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.94/1.50 , clause( 1281, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.94/1.50 , clause( 1282, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.94/1.50 , clause( 1283, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 0.94/1.50 , clause( 1284, [ 'c_fequal'( X, X, Y ) ] )
% 0.94/1.50 , clause( 1285, [ =( X, Y ), ~( 'c_fequal'( X, Y, Z ) ) ] )
% 0.94/1.50 ] ).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 eqswap(
% 0.94/1.50 clause( 2381, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 0.94/1.50 , clause( 1242, [ ~( =( 'v_a____', 'v_b____' ) ) ] )
% 0.94/1.50 , 0, substitution( 0, [] )).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 subsumption(
% 0.94/1.50 clause( 505, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 0.94/1.50 , clause( 2381, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 0.94/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 subsumption(
% 0.94/1.50 clause( 524, [ =( 'v_b____', 'v_a____' ) ] )
% 0.94/1.50 , clause( 1263, [ =( 'v_b____', 'v_a____' ) ] )
% 0.94/1.50 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 resolution(
% 0.94/1.50 clause( 3491, [] )
% 0.94/1.50 , clause( 505, [ ~( =( 'v_b____', 'v_a____' ) ) ] )
% 0.94/1.50 , 0, clause( 524, [ =( 'v_b____', 'v_a____' ) ] )
% 0.94/1.50 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 subsumption(
% 0.94/1.50 clause( 671, [] )
% 0.94/1.50 , clause( 3491, [] )
% 0.94/1.50 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 end.
% 0.94/1.50
% 0.94/1.50 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.94/1.50
% 0.94/1.50 Memory use:
% 0.94/1.50
% 0.94/1.50 space for terms: 50983
% 0.94/1.50 space for clauses: 68653
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 clauses generated: 3206
% 0.94/1.50 clauses kept: 672
% 0.94/1.50 clauses selected: 13
% 0.94/1.50 clauses deleted: 1
% 0.94/1.50 clauses inuse deleted: 0
% 0.94/1.50
% 0.94/1.50 subsentry: 61010
% 0.94/1.50 literals s-matched: 44727
% 0.94/1.50 literals matched: 26685
% 0.94/1.50 full subsumption: 22818
% 0.94/1.50
% 0.94/1.50 checksum: -314725658
% 0.94/1.50
% 0.94/1.50
% 0.94/1.50 Bliksem ended
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