TSTP Solution File: SCT008-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 21:00:29 EDT 2022
% Result : Timeout 300.03s 300.49s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SCT008-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 1 22:20:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.28 *** allocated 10000 integers for termspace/termends
% 0.88/1.28 *** allocated 10000 integers for clauses
% 0.88/1.28 *** allocated 10000 integers for justifications
% 0.88/1.28 *** allocated 15000 integers for termspace/termends
% 0.88/1.28 Bliksem 1.12
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Automatic Strategy Selection
% 0.88/1.28
% 0.88/1.28 Clauses:
% 0.88/1.28 [
% 0.88/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_OField'( X, Y ), 'c_Relation_OField'( Z, Y
% 0.88/1.28 ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.28 Y, X ), Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 T, X ), Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.88/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.88/1.28 Y, X ), Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 T, X ), Z, X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.88/1.28 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.88/1.28 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'( Z, Y ) ), ~(
% 0.88/1.28 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.88/1.28 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Osingle__valued'( X, Y, Z ), ~(
% 0.88/1.28 'c_Relation_Osingle__valued'( T, Y, Z ) ), ~( 'c_lessequals'( X, T,
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.88/1.28 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_ODomain'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.88/1.28 T, Y, Z ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( X, T, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.28 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.88/1.28 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.88/1.28 Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z
% 0.88/1.28 , T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), 'c_lessequals'(
% 0.88/1.28 'c_Set_Oimage'( T, X, Z, U ), 'c_Set_Oimage'( T, Y, Z, U ), 'tc_fun'( U,
% 0.88/1.28 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.88/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_OImage'( X, Y, Z, T ), 'c_Relation_OImage'(
% 0.88/1.28 U, W, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), ~( 'c_lessequals'( Y, W,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, U, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Z, T ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.88/1.28 'c_lessequals'( Z, Y, X ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( U ), Z ), W ) ) ), ~( 'c_lessequals'( 'c_Set_Oimage'( Y, W
% 0.88/1.28 , U, X ), T, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_COMBC'( 'c_in'( Z ), X, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.88/1.28 'c_COMBC'( 'c_in'( Z ), Y, Z, 'tc_fun'( Z, 'tc_bool' ), 'tc_bool' ),
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' )
% 0.88/1.28 , 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.88/1.28 'tc_bool' ), 'tc_fun'( X, 'tc_bool' ) ), ~( 'c_lessequals'( Y, Z,
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 X, X ), 'tc_bool' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 X, X ), 'tc_bool' ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 X, X ) ), Y ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( 'c_lessequals'( T, Z,
% 0.88/1.28 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), Y ), 'c_Transitive__Closure_Otrancl'( T, X )
% 0.88/1.28 ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OField'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.28 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), 'c_HOL_Oundefined'(
% 0.88/1.28 T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), U, Z, T ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OImage'( X, U,
% 0.88/1.28 Z, T ), 'c_Relation_OImage'( Y, U, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Relation_ODomain'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Z
% 0.88/1.28 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28 , X, Y, Y, Y ), 'c_Relation_Orel__comp'( Z, X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28 , X, Z, Z, Z ), 'c_Relation_Orel__comp'( Y, X, Z, Z, Z ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Z, Z ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( Z, Z ),
% 0.88/1.28 'tc_bool' ) ), Z ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_Orel__comp'(
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( X, Y ), X, Y, Y, Y ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, U, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Y, 'tc_fun'( 'tc_prod'( Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ORange'( X, Z,
% 0.88/1.28 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.28 ) ) ), ~( =( 'c_Relation_Orel__comp'( T, Y, Z, Z, Z ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.28 ) ) ), =( 'c_Relation_Orel__comp'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, Z ), 'tc_bool' ) ), Y, Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.28 ) ) ), ~( =( 'c_Relation_Orel__comp'( X, T, Z, Z, Z ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' )
% 0.88/1.28 ) ) ), =( 'c_Relation_Orel__comp'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, Z ), 'tc_bool' ) ), Z, Z, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), X, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28 ) ), Y ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.28 ~( 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.88/1.28 , 'c_Relation_OId'( Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y )
% 0.88/1.28 , ~( 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_f', 'v_g', 'tc_fun'(
% 0.88/1.28 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z
% 0.88/1.28 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , Y, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z, X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y, X ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Oconverse'( X,
% 0.88/1.28 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.28 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.28 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.28 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), ~( 'c_lessequals'( X, 'c_Transitive__Closure_Ortrancl'( Z
% 0.88/1.28 , Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.28 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.88/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.88/1.28 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.88/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.88/1.28 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.88/1.28 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.88/1.28 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oimage'( 'c_FuncSet_Orestrict'( X, Y, Z, T ), Y, Z, T ),
% 0.88/1.28 'c_Set_Oimage'( X, Y, Z, T ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ), X ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Relation_Orel__comp'( X, Y, Z, Z, Z ), X, 'tc_fun'( 'tc_prod'( Z, Z )
% 0.88/1.28 , 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Y, Z ) ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( T, X,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ), 'c_lessequals'( T, X,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_OImage'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.28 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Set_Oimage'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Set_Oimage'( X, Y, T, U ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_ODomain'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ODomain'( X, Z
% 0.88/1.28 , T ), 'c_Relation_ODomain'( Y, Z, T ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.28 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.88/1.28 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X
% 0.88/1.28 , X ), 'tc_bool' ) ), Y, 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.28 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Y, Y ), 'tc_bool' ) ), Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.28 'c_Relation_Orel__comp'( W, V0, Z, T, U ), 'tc_fun'( 'tc_prod'( Z, U ),
% 0.88/1.28 'tc_bool' ) ), ~( 'c_lessequals'( Y, V0, 'tc_fun'( 'tc_prod'( T, U ),
% 0.88/1.28 'tc_bool' ) ) ), ~( 'c_lessequals'( X, W, 'tc_fun'( 'tc_prod'( Z, T ),
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), X ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ), ~(
% 0.88/1.28 'c_lessequals'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Y ) ),
% 0.88/1.28 'c_lessequals'( Y, Z, X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), Z ), ~(
% 0.88/1.28 'c_lessequals'( Z, Y, X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.88/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.88/1.28 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.28 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.28 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.88/1.28 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), X ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ) ), ~( 'c_lessequals'( X,
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OField'( 'c_Relation_Oconverse'( X, Y, Y ), Y ),
% 0.88/1.28 'c_Relation_OField'( X, Y ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Set_Oinsert'( Y, T, X ), Z, 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( Z ), T ), X ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z )
% 0.88/1.28 , 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.88/1.28 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( Z ), T ), X ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, T ), 'tc_bool' ) ), U, Z, T, W ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28 , U, Z, T, W ), 'c_Relation_Orel__comp'( Y, U, Z, T, W ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Z, W ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 T, U ), 'tc_bool' ) ), W, T, U ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_Orel__comp'( X
% 0.88/1.28 , Y, W, T, U ), 'c_Relation_Orel__comp'( X, Z, W, T, U ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( W, U ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OField'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OField'( X, Z )
% 0.88/1.28 , 'c_Relation_OField'( Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , 'c_Lattices_Olower__semilattice__class_Oinf'( T, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.88/1.28 , 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 T, Z, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.28 'c_lessequals'( Y, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ), ~(
% 0.88/1.28 'c_lessequals'( Z, T, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.88/1.28 X ), ~( 'c_lessequals'( Y, 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 T, Z, X ), X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Y, Z, T, X ) ), Y ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( Y, T, X ) ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Wellfounded_Oacc'( X, Y ), 'c_Wellfounded_Oacc'( Z
% 0.88/1.28 , Y ), 'tc_fun'( Y, 'tc_bool' ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_ORange'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_ORange'( X, Z,
% 0.88/1.28 T ), 'c_Relation_ORange'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.88/1.28 T, 'tc_bool' ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, Y ), 'tc_fun'( 'tc_prod'( Y, Y ),
% 0.88/1.28 'tc_bool' ) ), Y ), 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Y, Y ), 'tc_bool' ) ), Y ) ) ],
% 0.88/1.28 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.88/1.28 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, Z, T ), U ), hAPP( X, U ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( 'c_lessequals'( T, Z,
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), T ) ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.88/1.28 ~( 'c_lessequals'( X, 'c_Relation_OImage'( Z, X, Y, Y ), 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ocomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' ),
% 0.88/1.28 hAPP( 'v_f', hAPP( 'v_g', 'v_x' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Relation_OId'( Y ),
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_OId'( Y ), 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OField'( X, Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( X, Y
% 0.88/1.28 , Y ), 'c_Relation_ORange'( X, Y, Y ), 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_OId'( Y ),
% 0.88/1.28 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y,
% 0.88/1.28 Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( X, 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X
% 0.88/1.28 , Y, Y ), X, Y, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( Z, X, Y ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ofcomp'( 'v_f', 'v_g', 't_a', 't_b', 't_c' ), 'v_x' )
% 0.88/1.28 , hAPP( 'v_g', hAPP( 'v_f', 'v_x' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'v_f', 'v_g', 'tc_fun'(
% 0.88/1.28 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_FuncSet_Orestrict'( X, Y, 't_a', Z ), 'v_x' ), 'c_HOL_OIf'(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ), Y ), hAPP( X, 'v_x' ),
% 0.88/1.28 'c_HOL_Oundefined'( Z ), Z ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OField'( 'v_r', 't_a' ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Relation_ODomain'( 'v_r'
% 0.88/1.28 , 't_a', 't_a' ), 'c_Relation_ORange'( 'v_r', 't_a', 't_a' ), 'tc_fun'(
% 0.88/1.28 't_a', 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y
% 0.88/1.28 , Y ), X, Y, Y, Y ), X, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~(
% 0.88/1.28 'c_Relation_Otrans'( X, Y ) ), ~( 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'(
% 0.88/1.28 'tc_prod'( Y, Y ), 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.88/1.28 'c_Relation_Orel__comp'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y )
% 0.88/1.28 , 'tc_bool' ) ), X, Y, Y, Y ), Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28 ) ) ), ~( 'c_lessequals'( 'c_Relation_OId'( Y ), Z, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Y, Y ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( X, 'c_Relation_OImage'( Y, 'c_Set_Oinsert'(
% 0.88/1.28 'c_List_Osko__Equiv__Relations__XquotientE__1__1'( Z, X, Y, T ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T, T ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( T, 'tc_bool' ) ), X ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( Z, Y, T ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Relation_ODomain'( X, Y, Y ), 'c_Relation_ORange'( Z, Y, Y ), 'tc_fun'(
% 0.88/1.28 Y, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool'
% 0.88/1.28 ) ) ) ), ~( 'c_Wellfounded_Owf'( Z, Y ) ), ~( 'c_Wellfounded_Owf'( X, Y
% 0.88/1.28 ) ), 'c_Wellfounded_Owf'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 X, Z, 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ), Y ) ],
% 0.88/1.28 [ 'c_lessequals'( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z
% 0.88/1.28 ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'(
% 0.88/1.28 U, X, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), 'c_Relation_OField'( X, Z ) )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), 'c_Relation_OField'( X, Z )
% 0.88/1.28 ) ) ), ~( 'c_Relation_Oantisym'( X, Z ) ), ~( 'c_Relation_Orefl__on'(
% 0.88/1.28 'c_Relation_OField'( X, Z ), X, Z ) ), =( Y, T ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.88/1.28 'c_lessequals'( 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.88/1.28 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, T, X ) )
% 0.88/1.28 ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.88/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), X ), X, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T
% 0.88/1.28 ) ) ), ~( 'c_Equiv__Relations_Oequiv'( T, Z, X ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.28 'tc_fun'( U, 'tc_bool' ) ) ), ~( 'c_Relation_Osingle__valued'(
% 0.88/1.28 'c_Relation_Oconverse'( X, T, U ), U, T ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'v_r', 't_a', 't_b' ), 'c_Relation_ODomain'(
% 0.88/1.28 'c_Relation_Oconverse'( 'v_r', 't_a', 't_b' ), 't_b', 't_a' ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_OImage'( T,
% 0.88/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), X ), X, X ), 'c_Relation_OImage'( T, 'c_Set_Oinsert'( Z,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ),
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ), ~( 'c_Equiv__Relations_Oequiv'( W, T, X
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_COMBC'(
% 0.88/1.28 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.88/1.28 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.88/1.28 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.88/1.28 't_a' ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.28 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, Z, Y ) ),
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y ) )
% 0.88/1.28 , Z ) ) ],
% 0.88/1.28 [ =( 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( X,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z, Y ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( X, T, Y, Y
% 0.88/1.28 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), U ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( Y ), X ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.88/1.28 , Z, Y ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.88/1.28 , X ), Y ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( Z
% 0.88/1.28 ), X ), Y ) ), =( Y, T ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T,
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z,
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), =( Y, T ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y
% 0.88/1.28 , 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Osym'(
% 0.88/1.28 Y, Z ) ), ~( 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, X, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, T ), 'tc_bool' ) ), Z, T ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Relation_Oconverse'( X,
% 0.88/1.28 Z, T ), 'c_Relation_Oconverse'( Y, Z, T ), 'tc_fun'( 'tc_prod'( T, Z ),
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, X, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.28 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, Y, X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, X,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.88/1.28 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z,
% 0.88/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Product__Type_OSigma'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, Z, U ), 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Product__Type_OSigma'( X, T, Z, U ), 'c_Product__Type_OSigma'( Y, T, Z
% 0.88/1.28 , U ), 'tc_fun'( 'tc_prod'( Z, U ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.88/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Z ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.88/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.28 , Z ), 'c_Set_Oinsert'( X, T, Z ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Set_Oinsert'( X, 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.88/1.28 X, T ), Y ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.28 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.28 ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.28 'c_Relation_Otrans'( Y, Z ) ), ~( 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ), Y ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ), Y ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 X, Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, U, 'tc_fun'( 'tc_prod'(
% 0.88/1.28 Z, Z ), 'tc_bool' ) ), Z ), ~( 'c_Relation_Orefl__on'( Y, U, Z ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( X, T, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.88/1.28 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.88/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( 'c_Set_Oinsert'( X, Y
% 0.88/1.28 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), T ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, 'c_Set_Oinsert'( Y
% 0.88/1.28 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), X ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.88/1.28 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z,
% 0.88/1.28 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ), X ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, X ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 Y, 'tc_fun'( 'tc_prod'( Z, Z ), 'tc_bool' ) ), Z ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( Y, Z ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Y, X ), Y ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, X, 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.28 ), 'v_x' ), 'c_Lattices_Olower__semilattice__class_Oinf'( hAPP( Y, 'v_x'
% 0.88/1.28 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( X, T ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Olower__semilattice__class_Oinf'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.28 ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 Y ), 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( T, U, Z ) ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( T, U, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), Y )
% 0.88/1.28 ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), X ), 'c_Set_Oinsert'( Y
% 0.88/1.28 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Y ), T ) ) ), ~( =(
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( T, Z, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.88/1.28 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), Z
% 0.88/1.28 ) ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'c_Relation_OImage'( Y, 'c_Set_Oinsert'( Z,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X, X ) )
% 0.88/1.28 , 'c_Equiv__Relations_Oquotient'( T, Y, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), Z ), T ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Lattices_Olower__semilattice__class_Oinf'( X,
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool'
% 0.88/1.28 ) ), Y ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( 'c_Relation_OId__on'( X, Y ), Z, Y, Y ),
% 0.88/1.28 'c_Lattices_Olower__semilattice__class_Oinf'( X, Z, 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z,
% 0.88/1.28 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.88/1.28 'tc_bool' ) ), U ), U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 U, X ) ), 'c_Pair'( T, Y, U, X ) ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.88/1.28 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), X ), X, Y ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Predicate_Oinv__imagep'( 'v_r', 'v_f', 'v_x', 'v_y', 't_a',
% 0.88/1.28 't_b' ), hAPP( hAPP( 'v_r', hAPP( 'v_f', 'v_x' ) ), hAPP( 'v_f', 'v_y' )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 T, U, Z, Z ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), U ), Y ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Equiv__Relations_Oquotient'(
% 0.88/1.28 V0, W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.28 ), X ), 'c_Equiv__Relations_Oquotient'( V0, W, Z ) ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( V0, W, Z ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), Z ), 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( X, 'tc_bool' ) ), Z ),
% 0.88/1.28 'c_Equiv__Relations_Oquotient'( U, W, X ) ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( U, W, X ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), W ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.88/1.28 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.88/1.28 ) ), X ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.88/1.28 ) ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( U, X, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) ), X ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z )
% 0.88/1.28 , Y ), U ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z
% 0.88/1.28 ) ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U
% 0.88/1.28 , X, Z ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_OImage'( X, 'c_Set_Oinsert'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ),
% 0.88/1.28 'c_Relation_OImage'( X, 'c_Set_Oinsert'( T,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z, Z ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( Z ), Y ), U ) ) ), ~( 'c_Equiv__Relations_Oequiv'( U, X, Z ) ),
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'( Y, T, Z, Z ) )
% 0.88/1.28 , X ) ) ],
% 0.88/1.28 [ ~( =( 'c_Lattices_Olower__semilattice__class_Oinf'(
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28 ), 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' ) ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.28 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, Y ) ), 'c_Pair'( Z, Z
% 0.88/1.28 , Y, Y ) ), 'c_Transitive__Closure_Otrancl'( X, Y ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( 'c_Relation_OId'( X ), Y, X, X ), Y ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( X, Y ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.28 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ), Y ),
% 0.88/1.28 ~( 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ), ~(
% 0.88/1.28 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OId__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'(
% 0.88/1.28 X, X ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( X, Y, Z ) ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Relation_Orefl__on'( X,
% 0.88/1.28 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, Z, T ) )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T
% 0.88/1.28 ) ) ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'(
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y ), Y ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ =( 'c_split'( 'c_curry'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( X, 'c_Relation_OId'( Y ), Z, Y, Y ), X ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( 'c_Relation_OId'( X ), Y, X, X, Z ), Y ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.28 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.88/1.28 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.88/1.28 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.28 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( 'c_Fun_Oid'( T )
% 0.88/1.28 , W, T, T, U ) ) ), =( hAPP( X, hAPP( Y, V0 ) ), hAPP( W, V0 ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28 [ hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'( X, hAPP( Y,
% 0.88/1.28 X ), Y, Z, T ) ) ],
% 0.88/1.28 [ hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'( X, hAPP( Y,
% 0.88/1.28 X ), Y, Z, T ) ) ],
% 0.88/1.28 [ =( 'c_curry'( 'c_split'( X, Y, Z, T ), Y, Z, T ), X ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ) ),
% 0.88/1.28 'c_Wellfounded_Oacc'( Y, X ) ) ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ),
% 0.88/1.28 'c_Wellfounded_Oacc'( Y, X ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oimage'( 'c_Fun_Oid'( X ), Y, X, X ), Y ) ],
% 0.88/1.28 [ =( 'c_Product__Type_OSigma'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 X, 'tc_bool' ) ), Y, X, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_ODomain'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.88/1.28 ) ), Z, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Y, Z, T, X, U ) ), Y )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X
% 0.88/1.28 , U ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ODomain'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.28 ), 'c_Relation_ODomain'( X, Y, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.28 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Relation_Osym'(
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, T, Z ) )
% 0.88/1.28 , 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y
% 0.88/1.28 ), 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_Orel__comp'( X, X, Y, Y, Y ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( Y, Y ), 'tc_bool' )
% 0.88/1.28 ) ) ), 'c_Wellfounded_Owf'( X, Y ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), X ), ~(
% 0.88/1.28 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, Z, T ) ) ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'( Z, T ) ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.28 'c_Relation_Osym'( X, Y ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Y, Z, T, X, U ) ), Y ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), 'c_Relation_OImage'( T, Y, X, U )
% 0.88/1.28 ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Oid'( X ), Y ), Y ) ],
% 0.88/1.28 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId__on'( X, Y ), Y, Y ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 X ), Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( T, Z, 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_COMBC'( 'c_in'( X ), Y, X, 'tc_fun'( X, 'tc_bool' ),
% 0.88/1.28 'tc_bool' ), 'c_COMBC'( 'c_in'( X ), Z, X, 'tc_fun'( X, 'tc_bool' ),
% 0.88/1.28 'tc_bool' ) ) ), =( Y, Z ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( T ), hAPP( U, Y ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.88/1.28 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( Y, Z ) ), 'c_Set_Oimage'( Y, T,
% 0.88/1.28 U, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), Z ), T ) ) ) ],
% 0.88/1.28 [ =( hAPP( hAPP( 'c_curry'( X, Y, Z, T ), U ), W ), hAPP( X, 'c_Pair'( U
% 0.88/1.28 , W, Y, Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( hAPP( X, Y ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_split'( X, U, W, 'tc_fun'( V0, 'tc_bool' ) ), 'c_Pair'( Y, Z, U, W ) )
% 0.88/1.28 , T ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.28 X, U ), W ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_split'( X, Y, Z, T ), 'c_Pair'( U, W, Y, Z ) ), hAPP( hAPP(
% 0.88/1.28 X, U ), W ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X, X ), X
% 0.88/1.28 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 0.88/1.28 , X, X ) ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X
% 0.88/1.28 ), X, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( T, X ), X, X
% 0.88/1.28 ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z
% 0.88/1.28 , X, X ) ), 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( T, X
% 0.88/1.28 , X ), X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Y, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~(
% 0.88/1.28 'c_Relation_Osingle__valued'( T, X, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ), X )
% 0.88/1.28 ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( T, X, X ),
% 0.88/1.28 X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z,
% 0.88/1.28 Y, X, X ) ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), =( Y, Z ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), =( Y, Z ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), Y ), Z ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Osingle__valued'( 'c_Relation_OId'( X ), X, X ) ],
% 0.88/1.28 [ =( hAPP( 'c_COMBC'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), Y ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Relation_ODomain'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( X, Y, Y ), X ), ~( 'c_Relation_Osym'( X, Y
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_Oconverse'( X, Y, Y ), X ) ), 'c_Relation_Osym'( X,
% 0.88/1.28 Y ) ],
% 0.88/1.28 [ =( 'c_Relation_ODomain'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y, Y
% 0.88/1.28 ), 'c_Relation_ORange'( X, Y, Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X,
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), T, U ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Relation_OImage'( X, Y, T, U ), 'c_Relation_OImage'( X, Z, T, U ),
% 0.88/1.28 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ =( 'c_Fun_Ocomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.28 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Oid'( Y ), Y, Z, Y ), X ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.88/1.28 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.88/1.28 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ), Z
% 0.88/1.28 , U ), 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( Y, T, U ),
% 0.88/1.28 'c_Relation_Oconverse'( X, Z, T ), U, T, Z ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( X, 'c_Relation_OId__on'( X, Y ), Y ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( X, Z ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( X, 'c_Transitive__Closure_Ortrancl'( X, Y
% 0.88/1.28 ), Y, Y, Y ), 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.28 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.28 'c_Relation_Osym'( X, Z ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ), 'c_Relation_OId'( X ) )
% 0.88/1.28 ],
% 0.88/1.28 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Transitive__Closure_Ortrancl'( X, Y ), Y ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, Y ), 'tc_bool' ) ), Z, X, Y, T ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, T ), 'tc_bool' )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ), T, Y, Z ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( T, Z ), 'tc_bool' )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Relation_Otrans'(
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.28 'c_Relation_Otrans'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId'( X ), X, X ),
% 0.88/1.28 'c_Relation_OId'( X ) ) ],
% 0.88/1.28 [ 'c_Wellfounded_Owf'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_OImage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.88/1.28 , 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.88/1.28 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Orel__comp'( X, Y, Z, T, U ),
% 0.88/1.28 W, Z, U, V0 ), 'c_Relation_Orel__comp'( X, 'c_Relation_Orel__comp'( Y, W
% 0.88/1.28 , T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T,
% 0.88/1.28 T ), 'c_Relation_Oinv__image'( 'c_Relation_Oconverse'( X, Z, Z ), Y, Z, T
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.28 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Otrancl'( X, Y ), Y
% 0.88/1.28 , Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Relation_Oinv__image'( X, Y, Z, T ), T ), ~(
% 0.88/1.28 'c_Relation_Otrans'( X, Z ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( 'c_Relation_OId__on'( X, Y ), Y, Y ),
% 0.88/1.28 'c_Relation_OId__on'( X, Y ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y
% 0.88/1.28 , Y, Y ), X ) ), 'c_Equiv__Relations_Oequiv'( 'c_Relation_ODomain'( X, Y
% 0.88/1.28 , Y ), X, Y ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.88/1.28 ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.28 'c_Relation_ODomain'( X, Y, Z ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.88/1.28 'tc_bool' ) ), Y ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Y, Z, X ) ), Y
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( Z, X ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'c_Relation_OId__on'( X, Y ), Y, Y ), X ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'c_Relation_Osingle__valued'( 'c_Relation_Orel__comp'( X, Y, Z, T, U )
% 0.88/1.28 , Z, U ), ~( 'c_Relation_Osingle__valued'( Y, T, U ) ), ~(
% 0.88/1.28 'c_Relation_Osingle__valued'( X, Z, T ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Oconverse'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.28 X ) ],
% 0.88/1.28 [ =( hAPP( X, Y ), Z ), ~( hBOOL(
% 0.88/1.28 'c_Record_Oiso__tuple__surjective__proof__assist'( Y, Z, X, T, U ) ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.88/1.28 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.88/1.28 X, 'tc_bool' ) ), Y ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.88/1.28 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( 'c_Relation_OId'( X ), X ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( 'c_Relation_Oconverse'( X, Y, Y ), X, Y, Y
% 0.88/1.28 , Y ), X ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Relation_Orel__comp'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( X, Y ), ~( 'c_Relation_Oantisym'(
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Y ), Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( 'c_Relation_Oconverse'( X, Y, Y ), Y ), ~(
% 0.88/1.28 'c_Relation_Oantisym'( X, Y ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.88/1.28 ) ), Y ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_fun'( Y, 'tc_bool' ) ) ), Z ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( X,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, Z ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( Z, 't_a' ) ) ) ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( X, Y, Z ), ~( 'c_Equiv__Relations_Oequiv'( X,
% 0.88/1.28 Y, Z ) ) ],
% 0.88/1.28 [ 'c_Relation_Oantisym'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, X ), 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.88/1.28 'tc_prod'( X, Y ), 'tc_bool' ) ), X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Relation_Oconverse'( X, Y, Y )
% 0.88/1.28 , Y ), 'c_Relation_Oconverse'( 'c_Transitive__Closure_Ortrancl'( X, Y ),
% 0.88/1.28 Y, Y ) ) ],
% 0.88/1.28 [ ~( =( 'c_Product__Type_OPair__Rep'( X, Y, Z, T ),
% 0.88/1.28 'c_Product__Type_OPair__Rep'( U, W, Z, T ) ) ), =( X, U ) ],
% 0.88/1.28 [ ~( =( 'c_Product__Type_OPair__Rep'( X, Y, Z, T ),
% 0.88/1.28 'c_Product__Type_OPair__Rep'( U, W, Z, T ) ) ), =( Y, W ) ],
% 0.88/1.28 [ 'c_Relation_Orefl__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X
% 0.88/1.28 ), 'tc_bool' ) ), X ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Y, Z, X ) ), Y ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), Y ) ) ), ~( 'c_Wellfounded_Owf'(
% 0.88/1.28 Z, X ) ) ],
% 0.88/1.28 [ 'c_Relation_Ototal__on'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), Y, X ) ],
% 0.88/1.28 [ 'c_Relation_Osym'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W ), hAPP( Y, hAPP( X, W ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.88/1.28 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ) ),
% 0.88/1.28 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Fun_Ofcomp'( X, 'c_Fun_Oid'( Y ), Z, Y, Y ), X ) ],
% 0.88/1.28 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Oid'( X ), Y, X, X, Z ), Y ) ],
% 0.88/1.28 [ 'c_Equiv__Relations_Ocongruent'( X, hAPP( Y, Z ), T, U ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( W ), Z ), V0 ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Ocongruent2'( V1, X, Y, W, T, U ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( V0, V1, W ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.88/1.28 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ODomain'( 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ),
% 0.88/1.28 'c_Relation_ORange'( X, Y, Z ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'(
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( X, Y ), X, Y, Y, Y ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( X, Y ), 'c_Relation_Orel__comp'( X
% 0.88/1.28 , 'c_Transitive__Closure_Ortrancl'( X, Y ), Y, Y, Y ) ) ],
% 0.88/1.28 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.88/1.28 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.88/1.28 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.88/1.28 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.88/1.28 , V4 ), W ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( 'c_Record_Oiso__tuple__surjective__proof__assist'(
% 0.88/1.28 X, Y, 'c_Fun_Oid'( Z ), Z, Z ) ) ) ],
% 0.88/1.28 [ =( 'c_Relation_ORange'( X, Y, Z ), 'c_Relation_ODomain'(
% 0.88/1.28 'c_Relation_Oconverse'( X, Y, Z ), Z, Y ) ) ],
% 0.88/1.28 [ 'c_Relation_Ototal__on'( X, Y, Z ), ~( 'c_Relation_Ototal__on'( X,
% 0.88/1.28 'c_Relation_Oconverse'( Y, Z, Z ), Z ) ) ],
% 0.88/1.28 [ 'c_Relation_Ototal__on'( X, 'c_Relation_Oconverse'( Y, Z, Z ), Z ),
% 0.88/1.28 ~( 'c_Relation_Ototal__on'( X, Y, Z ) ) ],
% 0.88/1.28 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.88/1.28 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ 'c_Relation_Otrans'( X, Y ), ~( 'c_Equiv__Relations_Oequiv'( Z, X, Y )
% 0.88/1.28 ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( Z ),
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, T, Z ) ),
% 0.88/1.28 'c_Wellfounded_Oacc'( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y )
% 0.88/1.28 , 'c_Wellfounded_Oacc'( T, Z ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ), ~( hBOOL(
% 0.88/1.28 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ) ) ],
% 0.88/1.28 [ hBOOL( 'c_Predicate_Oinv__imagep'( X, Y, Z, T, U, W ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( X, hAPP( Y, Z ) ), hAPP( Y, T ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Set_Oimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.88/1.28 , Z, 'tc_fun'( T, 'tc_bool' ) ), T, U ),
% 0.88/1.28 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oimage'( X, Y, T, U
% 0.88/1.28 ), 'c_Set_Oimage'( X, Z, T, U ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Otrancl'( 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' ) ), X ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( X, X ), 'tc_bool' )
% 0.88/1.28 ) ) ],
% 0.88/1.28 [ ~( =( 'c_Relation_ORange'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( Z, 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.88/1.28 'tc_fun'( 'tc_prod'( Y, Z ), 'tc_bool' ) ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Otrancl'(
% 0.88/1.28 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ =( 'c_Fun_Ofcomp'( 'c_Fun_Ofcomp'( X, Y, Z, T, U ), W, Z, U, V0 ),
% 0.88/1.28 'c_Fun_Ofcomp'( X, 'c_Fun_Ofcomp'( Y, W, T, U, V0 ), Z, T, V0 ) ) ],
% 0.88/1.28 [ =( 'c_Transitive__Closure_Ortrancl'( 'c_Transitive__Closure_Ortrancl'(
% 0.88/1.28 X, Y ), Y ), 'c_Transitive__Closure_Ortrancl'( X, Y ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_COMBC'(
% 0.88/1.28 'c_in'( 't_a' ), X, 't_a', 'tc_fun'( 't_a', 'tc_bool' ), 'tc_bool' ),
% 0.88/1.28 'c_COMBC'( 'c_in'( 't_a' ), Y, 't_a', 'tc_fun'( 't_a', 'tc_bool' ),
% 0.88/1.28 'tc_bool' ), 'tc_fun'( 't_a', 'tc_bool' ) ), 'v_x' ), hAPP( hAPP( 'c_in'(
% 0.88/1.28 't_a' ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.88/1.28 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, 't_a', T ), 'v_y' ), 'c_HOL_OIf'(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( 'v_y', Z,
% 0.88/1.28 't_a', 't_a' ) ), Y ), hAPP( X, 'v_y' ), 'c_HOL_Oundefined'( T ), T ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.88/1.28 , 'v_x' ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Oid'( 't_a' ), 'v_x' ), 'v_x' ) ],
% 0.88/1.28 [ =( hAPP( 'c_Fun_Ofcomp'( X, Y, 't_a', Z, T ), 'v_x' ), hAPP( Y, hAPP(
% 0.88/1.28 X, 'v_x' ) ) ) ],
% 0.88/1.28 [ =( 'c_Record_Oiso__tuple__surjective__proof__assist'( 'v_x', 'v_y',
% 0.88/1.28 'v_f', 't_a', 't_b' ), 'c_fequal'( hAPP( 'v_f', 'v_x' ), 'v_y', 't_b' ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( hAPP( hAPP( 'c_Product__Type_OPair__Rep'( X, Y, 't_a', 't_b' ),
% 0.88/1.28 'v_x' ), 'v_y' ), 'c_and'( 'c_fequal'( 'v_x', X, 't_a' ), 'c_fequal'(
% 0.88/1.28 'v_y', Y, 't_b' ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , Z ) ) ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.28 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ), hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , Z ) ), =( Y, X ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.28 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( X, Y, 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( Y, X,
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_fun'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ),
% 0.88/1.28 'tc_bool' ) ), Z ), 'c_Arrow__Order__Mirabelle_OLin' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XImageE__1__1'( Z, T, U, X, Y ), T, X, Y )
% 0.88/1.28 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ), 'c_Relation_OImage'( U
% 0.88/1.28 , Z, X, Y ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1'( Y, Z, X ), Z, X
% 0.88/1.28 , X ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Wellfounded_Oacc'(
% 0.88/1.28 Y, X ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1'( X, U, T ), T
% 0.88/1.28 , T ) ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ),
% 0.88/1.28 'c_Wellfounded_Oacc'( U, T ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 0.88/1.28 't_a' ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1'( Z, T, X ), X, X ) ),
% 0.88/1.28 T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( T, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1'( Z, T, Y, X ), Z, X, Y ) )
% 0.88/1.28 , T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'( T,
% 0.88/1.28 X, Y ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1'( Z, Y, X ), Y, X,
% 0.88/1.28 X ) ), Z ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T,
% 0.88/1.28 X, X ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.88/1.28 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( X ), T ), 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 0.88/1.28 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 0.88/1.28 't_a' ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, X ) )
% 0.88/1.28 ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X
% 0.88/1.28 ) ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinducts__1'( X, T ), 't_a', 't_a' ) ), T ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 0.88/1.28 't_a' ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), hAPP( hAPP( Y, Z ), T ) ),
% 0.88/1.28 'c_Set_Oimage'( 'c_split'( Y, U, W, X ), V0, 'tc_prod'( U, W ), X ) ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, W ) ), 'c_Pair'( Z, T, U, W )
% 0.88/1.28 ), V0 ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1'( Z, T, X, Y ), X, Y ) ), T
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'( T, X
% 0.88/1.28 , Y ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Z ),
% 0.88/1.28 'c_Wellfounded_Oacc'( T, 't_a' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( 't_a', 't_a' ) ), 'c_Pair'( Z,
% 0.88/1.28 'v_sko__Wellfounded__Xacc__Xinduct__1'( X, T ), 't_a', 't_a' ) ), T ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 't_a' ), Y ), 'c_Wellfounded_Oacc'( T,
% 0.88/1.28 't_a' ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( Z,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1'( X, U, T ), T, T )
% 0.88/1.28 ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( T ), Y ), 'c_Wellfounded_Oacc'(
% 0.88/1.28 U, T ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y,
% 0.88/1.28 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1'( Z, T, X ), X,
% 0.88/1.28 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), U ), Z ) ) ), ~(
% 0.88/1.28 'c_Wellfounded_Owf'( T, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z,
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1'( Z, T, X, Y ), X, Y )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), 'c_Relation_ODomain'(
% 0.88/1.28 T, X, Y ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1'( Z, T, U, X, Y ), T, X
% 0.88/1.28 , Y ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), T ),
% 0.88/1.28 'c_Relation_OImage'( U, Z, X, Y ) ) ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 X, Y, Z, Z ) ), 'c_Transitive__Closure_Ortrancl'( T, Z ) ) ) ), hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( Z ), X ), 'c_Relation_ODomain'( T, Z, Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'(
% 0.88/1.28 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1'( Z, T, Y, X ), Z, X, Y
% 0.88/1.28 ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Y ), Z ), 'c_Relation_ORange'(
% 0.88/1.28 T, X, Y ) ) ) ) ],
% 0.88/1.28 [ =( hAPP( hAPP( 'c_curry'( 'v_c', 't_a', 't_b', 't_c' ), 'v_x' ), 'v_y'
% 0.88/1.28 ), hAPP( 'v_c', 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( 'c_split'( Z, T, U,
% 0.88/1.28 'tc_fun'( X, 'tc_bool' ) ), 'c_Pair'( W, V0, T, U ) ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( X ), Y ), hAPP( hAPP( Z, W ), V0 ) ) ) ) ],
% 0.88/1.28 [ =( hAPP( hAPP( X, Y ), Z ), hAPP( hAPP( X, T ), U ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( Z, U, W, W ) ), V0 ) ) ),
% 0.88/1.28 ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( V1, V1 ) ), 'c_Pair'( Y, T, V1,
% 0.88/1.28 V1 ) ), V2 ) ) ), ~( 'c_Equiv__Relations_Ocongruent2'( V2, V0, X, V1, W,
% 0.88/1.28 V3 ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T ) ), 'c_Pair'(
% 0.88/1.28 U, Y, Z, T ) ), W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, T )
% 0.88/1.28 ), 'c_Pair'( U, X, Z, T ) ), W ) ) ), ~( 'c_Relation_Osingle__valued'( W
% 0.88/1.28 , Z, T ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 0.88/1.28 , Y ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Recdef_Ocut'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, T ) ), 'c_Pair'( W, Z, T, T ) )
% 0.88/1.28 , Y ) ) ) ],
% 0.88/1.28 [ hBOOL( 'c_FunDef_Oin__rel'( X, Y, Z, T, U ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( T, U ) ), 'c_Pair'( Y, Z, T, U ) ), X ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), U ) ), ~( hBOOL( 'c_FunDef_Oin__rel'( U, Z, T, X, Y ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U
% 0.88/1.28 , Z, X, X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 0.88/1.28 , 'c_Pair'( Y, U, X, X ) ), T ) ) ), ~( 'c_Relation_Otrans'( T, X ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U
% 0.88/1.28 , Z, X, X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) )
% 0.88/1.28 , 'c_Pair'( Y, U, X, X ) ), T ) ) ), ~( 'c_Relation_Otrans'( T, X ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), 'c_Relation_Oconverse'( U, Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( Y, X ) ), 'c_Pair'( T, Z, Y, X ) ), U ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Y, X ) ), 'c_Pair'( T
% 0.88/1.28 , Z, Y, X ) ), 'c_Relation_Oconverse'( U, X, Y ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 0.88/1.28 X ) ), Z ) ) ), ~( 'c_Relation_Oirrefl'( Z, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X ) ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Ortrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Ortrancl'( Z, X ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X,
% 0.88/1.28 X ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ),
% 0.88/1.28 'c_Pair'( Z, Y, X, X ) ), T ) ) ), ~( 'c_Wellfounded_Owf'( T, X ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 0.88/1.28 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 Y, X, Z, Z ) ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z )
% 0.88/1.28 ), 'c_Pair'( X, Y, Z, Z ) ), T ) ) ), ~( 'c_Relation_Oantisym'( T, Z ) )
% 0.88/1.28 ],
% 0.88/1.28 [ =( hAPP( X, Y ), hAPP( X, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( T, T ) ), 'c_Pair'( Y, Z, T, T ) ), U ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Ocongruent'( U, X, T, W ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 X, Y, Z, Z ) ), 'c_Relation_OId__on'( T, Z ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'c_Recdef_Ocut'( X, Y, Z, T, U ), 'c_Recdef_Ocut'( W, Y, Z, T, U
% 0.88/1.28 ) ) ), =( hAPP( X, V0 ), hAPP( W, V0 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( T, T ) ), 'c_Pair'( V0, Z, T, T ) ), Y ) ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( Z, Z ) ), 'c_Pair'(
% 0.88/1.28 X, Y, Z, Z ) ), 'c_Relation_OId'( Z ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), Z ) ), ~( 'c_Nitpick_Orefl_H'( Z, X ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X,
% 0.88/1.28 X ) ), Z ) ) ), ~( 'c_Wellfounded_Owf'( Z, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Relation_Oinv__image'( T, U, W, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( W, W ) ), 'c_Pair'( hAPP( U, Y ), hAPP( U, Z ), W, W )
% 0.88/1.28 ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( hAPP( Y, Z )
% 0.88/1.28 , hAPP( Y, T ), X, X ) ), U ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 W, W ) ), 'c_Pair'( Z, T, W, W ) ), 'c_Relation_Oinv__image'( U, Y, X, W
% 0.88/1.28 ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 0.88/1.28 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z
% 0.88/1.28 , Y, X, X ) ), T ) ) ), ~( 'c_Relation_Osym'( T, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), 'c_Relation_Orel__comp'( U, W, X, V0, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( V0, Y ) ), 'c_Pair'( V1, T, V0, Y ) ), W ) ) ), ~(
% 0.88/1.28 hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, V0 ) ), 'c_Pair'( Z, V1, X, V0 )
% 0.88/1.28 ), U ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ), T ) ) ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ), T ) )
% 0.88/1.28 ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), 'c_Transitive__Closure_Otrancl'( T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( U, Z, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, U, X, X ) ),
% 0.88/1.28 'c_Transitive__Closure_Otrancl'( T, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), 'c_Relation_OId'( X ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), 'c_Relation_OId'( X ) ) ) ],
% 0.88/1.28 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.88/1.28 ), 'v_x' ), hAPP( hAPP( 'c_in'( 't_a' ), 'v_x' ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ) ) ) ],
% 0.88/1.28 [ =( 'c_FunDef_Oin__rel'( 'v_R', 'v_x', 'v_y', 't_a', 't_b' ), hAPP(
% 0.88/1.28 hAPP( 'c_in'( 'tc_prod'( 't_a', 't_b' ) ), 'c_Pair'( 'v_x', 'v_y', 't_a'
% 0.88/1.28 , 't_b' ) ), 'v_R' ) ) ],
% 0.88/1.28 [ =( hAPP( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.88/1.28 'tc_fun'( 't_b', 'tc_bool' ) ) ), 'v_x' ), 'v_y' ), hAPP( hAPP( 'c_in'(
% 0.88/1.28 'tc_prod'( 't_a', 't_b' ) ), 'c_Pair'( 'v_x', 'v_y', 't_a', 't_b' ) ),
% 0.88/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_prod'( 't_a', 't_b' ),
% 0.88/1.28 'tc_bool' ) ) ) ) ],
% 0.88/1.28 [ =( 'c_Predicate_Oinv__imagep'( X, Y, 'v_x', 'v_y', Z, 't_a' ), hAPP(
% 0.88/1.28 hAPP( X, hAPP( Y, 'v_x' ) ), hAPP( Y, 'v_y' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 Z ), U ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, Y ) ), 'c_Pair'( Z, T, X, Y )
% 0.88/1.28 ), 'c_Product__Type_OSigma'( U, W, X, Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( Y ), T ), hAPP( W, Z ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 Z ), U ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.88/1.28 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 0.88/1.28 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Wellfounded_Oacc'( Z, X ) ) )
% 0.88/1.28 , ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X
% 0.88/1.28 ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), T ),
% 0.88/1.28 'c_Wellfounded_Oacc'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.88/1.28 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_OImage'( Z, T, U, X )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( W, Y,
% 0.88/1.28 U, X ) ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( U ), W ), T ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ),
% 0.88/1.28 'c_Relation_OId__on'( Z, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), 'c_Relation_OId__on'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ),
% 0.88/1.28 Y ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.88/1.28 'c_Equiv__Relations_Oequiv'( Z, U, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.88/1.28 , X ) ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ORange'( Z, T, X ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( T, X ) ), 'c_Pair'( U, Y, T
% 0.88/1.28 , X ) ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.88/1.28 , T ) ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), 'c_Relation_ODomain'( Z, X, T ) )
% 0.88/1.28 ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X
% 0.88/1.28 , T ) ), Z ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), hAPP( Z, T ) ) ), ~( hBOOL( hAPP(
% 0.88/1.28 hAPP( 'c_in'( 'tc_prod'( U, X ) ), 'c_Pair'( T, Y, U, X ) ),
% 0.88/1.28 'c_Product__Type_OSigma'( W, Z, U, X ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, T ) ), 'c_Pair'( Y, U, X, T ) ),
% 0.88/1.28 'c_Product__Type_OSigma'( Z, W, X, T ) ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Z, X, X )
% 0.88/1.28 ), T ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Z, Y
% 0.88/1.28 , X, X ) ), T ) ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), U )
% 0.88/1.28 ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Z ), U ) ) ), ~(
% 0.88/1.28 'c_Relation_Ototal__on'( U, T, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( T, Y, X, X ) ), U ) ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, T, X, X ) ), U ) ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( Z, U, X ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'( X, X ) ), 'c_Pair'( Y, Y, X, X )
% 0.88/1.28 ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), T ) ) ), ~(
% 0.88/1.28 'c_Relation_Orefl__on'( T, Z, X ) ) ],
% 0.88/1.28 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( Y, W ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( =( 'c_Pair'( X, Y, Z, T ), 'c_Pair'( U, W, Z, T ) ) ), =( X, U ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( X ), Y ), Z ) ), ~( hBOOL( hAPP( Z, Y ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_in'( Z ), Y ), X ) ) )
% 0.88/1.28 ],
% 0.88/1.28 [ ~( =( 'v_x', 'v_z' ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.28 'v_L', 'v_z' ) ) ) ],
% 0.88/1.28 [ ~( =( 'v_x', 'v_y' ) ), ~( =( 'v_y', 'v_z' ) ), hBOOL( hAPP( hAPP(
% 0.88/1.28 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_x', 'v_y',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Arrow__Order__Mirabelle_Omktop'( 'v_L', 'v_z' ) ) ) ],
% 0.88/1.28 [ hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.28 'v_L', 'v_z' ) ) ), hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_L' ) ), =( 'v_y', 'v_z' ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_L' ) ) ), =( 'v_y', 'v_z' ),
% 0.88/1.28 =( 'v_x', 'v_z' ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.28 'v_L', 'v_z' ) ) ) ) ],
% 0.88/1.28 [ ~( =( 'v_y', 'v_z' ) ), =( 'v_x', 'v_y' ), =( 'v_x', 'v_z' ), ~( hBOOL(
% 0.88/1.28 hAPP( hAPP( 'c_in'( 'tc_prod'( 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Pair'( 'v_x', 'v_y',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Arrow__Order__Mirabelle_Omktop'( 'v_L', 'v_z' ) ) ) ) ],
% 0.88/1.28 [ ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'v_L' ) ) ), =( 'v_x', 'v_y' ),
% 0.88/1.28 =( 'v_x', 'v_z' ), ~( hBOOL( hAPP( hAPP( 'c_in'( 'tc_prod'(
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt', 'tc_Arrow__Order__Mirabelle_Oalt' ) )
% 0.88/1.28 , 'c_Pair'( 'v_x', 'v_y', 'tc_Arrow__Order__Mirabelle_Oalt',
% 0.88/1.28 'tc_Arrow__Order__Mirabelle_Oalt' ) ), 'c_Arrow__Order__Mirabelle_Omktop'(
% 0.88/1.28 'v_L', 'v_z' ) ) ) ) ],
% 0.88/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Orderings_Opreorder'( Y ) ) ],
% 0.88/1.28 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Lattices_Olattice'( Y ) ) ],
% 0.88/1.28 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.88/1.28 'class_Orderings_Oorder'( Y ) ) ],
% 0.88/1.28 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.88/1.28 Y ) ) ],
% 0.88/1.28 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.88/1.28 ,
% 0.88/1.28 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.88/1.28 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.88/1.28 [ hBOOL( 'c_fequal'( X, X, Y ) ) ],
% 0.88/1.28 [ =( X, Y ), ~( hBOOL( 'c_fequal'( X, Y, Z ) ) ) ]
% 0.88/1.28 ] .
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 percentage equality = 0.272814, percentage horn = 0.930368
% 0.88/1.28 This is a problem with some equality
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28
% 0.88/1.28 Options Used:
% 0.88/1.28
% 0.88/1.28 useres = 1
% 0.88/1.28 useparamod = 1
% 0.88/1.28 useeqrefl = 1
% 0.88/1.28 useeqfact = 1
% 0.88/1.28 usefactor = 1
% 0.88/1.28 usesimpsplitting = 0
% 0.88/1.28 usesimpdemod = 5
% 0.88/1.28 usesimpres = 3
% 0.88/1.28
% 0.88/1.28 resimpinuse = 1000
% 0.88/1.28 resimpclauses = 20000
% 0.88/1.28 substype = eqrewr
% 0.88/1.28 backwardsubs = 1
% 0.88/1.28 selectoldest = 5
% 0.88/1.28
% 0.88/1.28 litorderings [0] = split
% 0.88/1.28 litorderings [1] = extend the termordering, first sorting on arguments
% 0.88/1.28
% 0.88/1.28 termordering = kbo
% 0.88/1.28
% 0.88/1.28 litapriori = 0
% 0.88/1.28 termapriori = 1
% 0.88/1.28 litaposteriori = 0
% 0.88/1.28 termaposteriori = 0
% 0.88/1.28 demodaposteriori = 0
% 0.88/1.28 ordereqreflfact = 0
% 0.88/1.28
% 0.88/1.28 litselect = negord
% 0.88/1.28
% 0.88/1.28 maxweight = 15
% 0.88/1.28 maxdepth = 30000
% 0.88/1.28 maxlength = 115
% 0.88/1.28 maxnrvars = 195
% 0.88/1.28 excuselevel = 1
% 0.88/1.28 increasemaxweight = 1
% 0.88/1.28
% 0.88/1.28 maxselected = 10000000
% 0.88/1.28 maxnrclauses = 10000000
% 0.88/1.28
% 0.88/1.28 showgenerated = 0
% 0.88/1.28 showkept = 0
% 0.88/1.28 showselected = 0
% 0.88/1.28 showdeleted = 0
% 0.88/1.28 showresimp = 1
% 0.88/1.28 showstatus = 2000
% 0.88/1.28
% 0.88/1.28 prologoutput = 1
% 0.88/1.28 nrgoals = 5000000
% 0.88/1.28 totalproof = 1
% 0.88/1.28
% 0.88/1.28 Symbols occurring in the translation:
% 0.88/1.28
% 0.88/1.28 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.88/1.28 . [1, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.88/1.28 ! [4, 1] (w:0, o:79, a:1, s:1, b:0),
% 0.88/1.28 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.88/1.28 'c_Set_Oinsert' [42, 3] (w:1, o:149, a:1, s:1, b:0),
% 0.88/1.28 'tc_bool' [44, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.88/1.28 'tc_fun' [45, 2] (w:1, o:125, a:1, s:1, b:0),
% 0.88/1.28 'c_lessequals' [46, 3] (w:1, o:150, a:1, s:1, b:0),
% 0.88/1.29 'c_in' [47, 1] (w:1, o:84, a:1, s:1, b:0),
% 0.88/1.29 hAPP [48, 2] (w:1, o:126, a:1, s:1, b:0),
% 0.88/1.29 hBOOL [49, 1] (w:1, o:85, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_OField' [51, 2] (w:1, o:127, a:1, s:1, b:0),
% 0.88/1.29 'tc_prod' [53, 2] (w:1, o:128, a:1, s:1, b:0),
% 0.88/1.29 'class_Lattices_Oupper__semilattice' [54, 1] (w:1, o:86, a:1, s:1, b:
% 0.88/1.29 0),
% 0.88/1.29 'c_Lattices_Oupper__semilattice__class_Osup' [57, 3] (w:1, o:151, a:1
% 0.88/1.29 , s:1, b:0),
% 0.88/1.29 'class_Orderings_Oorder' [61, 1] (w:1, o:87, a:1, s:1, b:0),
% 0.88/1.29 'c_Wellfounded_Owf' [65, 2] (w:1, o:129, a:1, s:1, b:0),
% 0.88/1.29 'class_Orderings_Opreorder' [66, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Oantisym' [67, 2] (w:1, o:130, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Osingle__valued' [69, 3] (w:1, o:144, a:1, s:1, b:0),
% 0.88/1.29 'c_Lattices_Olower__semilattice__class_Oinf' [70, 3] (w:1, o:152, a:1
% 0.88/1.29 , s:1, b:0),
% 0.88/1.29 'c_Relation_ODomain' [72, 3] (w:1, o:145, a:1, s:1, b:0),
% 0.88/1.29 'c_Orderings_Obot__class_Obot' [73, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.88/1.29 'c_Set_Oimage' [75, 4] (w:1, o:164, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_OImage' [78, 4] (w:1, o:162, a:1, s:1, b:0),
% 0.88/1.29 'class_Orderings_Olinorder' [79, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.88/1.29 'c_COMBC' [82, 5] (w:1, o:178, a:1, s:1, b:0),
% 0.88/1.29 'c_Transitive__Closure_Ortrancl' [83, 2] (w:1, o:131, a:1, s:1, b:0)
% 0.88/1.29 ,
% 0.88/1.29 'c_Transitive__Closure_Otrancl' [84, 2] (w:1, o:132, a:1, s:1, b:0),
% 0.88/1.29
% 0.88/1.29 'c_Product__Type_OSigma' [87, 4] (w:1, o:165, a:1, s:1, b:0),
% 0.88/1.29 'c_FuncSet_Orestrict' [88, 4] (w:1, o:167, a:1, s:1, b:0),
% 0.88/1.29 'c_HOL_Oundefined' [89, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Orel__comp' [90, 5] (w:1, o:179, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Orefl__on' [91, 3] (w:1, o:143, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_ORange' [92, 3] (w:1, o:146, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_OId' [93, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Otrans' [94, 2] (w:1, o:134, a:1, s:1, b:0),
% 0.88/1.29 'c_Relation_Oconverse' [95, 3] (w:1, o:147, a:1, s:1, b:0),
% 7.54/7.89 'c_Relation_Osym' [96, 2] (w:1, o:133, a:1, s:1, b:0),
% 7.54/7.89 't_b' [97, 0] (w:1, o:45, a:1, s:1, b:0),
% 7.54/7.89 'class_Lattices_Olattice' [98, 1] (w:1, o:93, a:1, s:1, b:0),
% 7.54/7.89 'v_f' [99, 0] (w:1, o:46, a:1, s:1, b:0),
% 7.54/7.89 'v_g' [100, 0] (w:1, o:47, a:1, s:1, b:0),
% 7.54/7.89 't_a' [101, 0] (w:1, o:44, a:1, s:1, b:0),
% 7.54/7.89 'v_x' [102, 0] (w:1, o:48, a:1, s:1, b:0),
% 7.54/7.89 'class_Lattices_Olower__semilattice' [103, 1] (w:1, o:94, a:1, s:1
% 7.54/7.89 , b:0),
% 7.54/7.89 'class_Orderings_Obot' [104, 1] (w:1, o:95, a:1, s:1, b:0),
% 7.54/7.89 'c_List_Osko__Equiv__Relations__XquotientE__1__1' [109, 4] (w:1, o:
% 7.54/7.89 168, a:1, s:1, b:0),
% 7.54/7.89 'c_Equiv__Relations_Oquotient' [110, 3] (w:1, o:153, a:1, s:1, b:0),
% 7.54/7.89
% 7.54/7.89 'c_Wellfounded_Oacc' [112, 2] (w:1, o:135, a:1, s:1, b:0),
% 7.54/7.89 'class_HOL_Oord' [114, 1] (w:1, o:96, a:1, s:1, b:0),
% 7.54/7.89 't_c' [118, 0] (w:1, o:58, a:1, s:1, b:0),
% 7.54/7.89 'c_Fun_Ocomp' [119, 5] (w:1, o:180, a:1, s:1, b:0),
% 7.54/7.89 'c_Fun_Ofcomp' [120, 5] (w:1, o:181, a:1, s:1, b:0),
% 7.54/7.89 'c_HOL_OIf' [121, 4] (w:1, o:169, a:1, s:1, b:0),
% 7.54/7.89 'v_r' [122, 0] (w:1, o:59, a:1, s:1, b:0),
% 7.54/7.89 'c_Pair' [123, 4] (w:1, o:170, a:1, s:1, b:0),
% 7.54/7.89 'c_Equiv__Relations_Oequiv' [124, 3] (w:1, o:154, a:1, s:1, b:0),
% 7.54/7.89 'class_Lattices_Odistrib__lattice' [126, 1] (w:1, o:97, a:1, s:1, b:0
% 7.54/7.89 ),
% 7.54/7.89 'class_Lattices_Obounded__lattice' [127, 1] (w:1, o:98, a:1, s:1, b:0
% 7.54/7.89 ),
% 7.54/7.89 'c_Relation_OId__on' [130, 2] (w:1, o:136, a:1, s:1, b:0),
% 7.54/7.89 'v_y' [131, 0] (w:1, o:62, a:1, s:1, b:0),
% 7.54/7.89 'c_Predicate_Oinv__imagep' [132, 6] (w:1, o:187, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1' [133, 3]
% 7.54/7.89 (w:1, o:155, a:1, s:1, b:0),
% 7.54/7.89 'c_curry' [134, 4] (w:1, o:171, a:1, s:1, b:0),
% 7.54/7.89 'c_split' [135, 4] (w:1, o:172, a:1, s:1, b:0),
% 7.54/7.89 'c_Fun_Oid' [136, 1] (w:1, o:99, a:1, s:1, b:0),
% 7.54/7.89 'c_Record_Oiso__tuple__surjective__proof__assist' [138, 5] (w:1, o:
% 7.54/7.89 182, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1' [140, 3] (w:
% 7.54/7.89 1, o:156, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XImage__iff__1__1' [141, 5] (w:1, o:
% 7.54/7.89 183, a:1, s:1, b:0),
% 7.54/7.89 'v_sko__Wellfounded__Xacc__Xinducts__1' [142, 2] (w:1, o:137, a:1, s:
% 7.54/7.89 1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1' [143, 3] (w:1
% 7.54/7.89 , o:157, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XImageE__1__1' [144, 5] (w:1, o:184
% 7.54/7.89 , a:1, s:1, b:0),
% 7.54/7.89 'c_Relation_Oinv__image' [145, 4] (w:1, o:163, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1' [147, 3]
% 7.54/7.89 (w:1, o:158, a:1, s:1, b:0),
% 7.54/7.89 'v_sko__Wellfounded__Xacc__Xinduct__1' [148, 2] (w:1, o:138, a:1, s:1
% 7.54/7.89 , b:0),
% 7.54/7.89 'c_Product__Type_OPair__Rep' [149, 4] (w:1, o:173, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1' [152, 3] (w:1, o:
% 7.54/7.89 159, a:1, s:1, b:0),
% 7.54/7.89 'c_Relation_Ototal__on' [153, 3] (w:1, o:148, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1' [155, 3] (w:1
% 7.54/7.89 , o:160, a:1, s:1, b:0),
% 7.54/7.89 'c_Equiv__Relations_Ocongruent' [157, 4] (w:1, o:166, a:1, s:1, b:0)
% 7.54/7.89 ,
% 7.54/7.89 'c_Equiv__Relations_Ocongruent2' [159, 6] (w:1, o:188, a:1, s:1, b:0)
% 7.54/7.89 ,
% 7.54/7.89 'c_Recdef_Ocut' [164, 5] (w:1, o:185, a:1, s:1, b:0),
% 7.54/7.89 'c_fequal' [165, 3] (w:1, o:161, a:1, s:1, b:0),
% 7.54/7.89 'c_and' [166, 2] (w:1, o:139, a:1, s:1, b:0),
% 7.54/7.89 'tc_Arrow__Order__Mirabelle_Oalt' [167, 0] (w:1, o:68, a:1, s:1, b:0)
% 7.54/7.89 ,
% 7.54/7.89 'c_Arrow__Order__Mirabelle_OLin' [169, 0] (w:1, o:70, a:1, s:1, b:0)
% 7.54/7.89 ,
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XRangeE__1__1' [170, 4] (w:1, o:174
% 7.54/7.89 , a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XDomainE__1__1' [172, 4] (w:1, o:175
% 7.54/7.89 , a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1' [173, 4] (w:1, o:
% 7.54/7.89 176, a:1, s:1, b:0),
% 7.54/7.89 'c_ATP__Linkup_Osko__Relation__XRange__iff__1__1' [174, 4] (w:1, o:
% 7.54/7.89 177, a:1, s:1, b:0),
% 7.54/7.89 'v_c' [175, 0] (w:1, o:71, a:1, s:1, b:0),
% 7.54/7.89 'c_FunDef_Oin__rel' [180, 5] (w:1, o:186, a:1, s:1, b:0),
% 7.54/7.89 'c_Relation_Oirrefl' [181, 2] (w:1, o:140, a:1, s:1, b:0),
% 26.66/27.01 'c_Nitpick_Orefl_H' [182, 2] (w:1, o:141, a:1, s:1, b:0),
% 26.66/27.01 'v_R' [183, 0] (w:1, o:74, a:1, s:1, b:0),
% 26.66/27.01 'v_z' [184, 0] (w:1, o:75, a:1, s:1, b:0),
% 26.66/27.01 'v_L' [185, 0] (w:1, o:76, a:1, s:1, b:0),
% 26.66/27.01 'c_Arrow__Order__Mirabelle_Omktop' [186, 2] (w:1, o:142, a:1, s:1, b:
% 26.66/27.01 0).
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Starting Search:
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 5045
% 26.66/27.01 Kept: 2000
% 26.66/27.01 Inuse: 145
% 26.66/27.01 Deleted: 0
% 26.66/27.01 Deletedinuse: 0
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 11985
% 26.66/27.01 Kept: 4146
% 26.66/27.01 Inuse: 291
% 26.66/27.01 Deleted: 8
% 26.66/27.01 Deletedinuse: 3
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 22169
% 26.66/27.01 Kept: 6150
% 26.66/27.01 Inuse: 350
% 26.66/27.01 Deleted: 14
% 26.66/27.01 Deletedinuse: 7
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 30130
% 26.66/27.01 Kept: 8156
% 26.66/27.01 Inuse: 435
% 26.66/27.01 Deleted: 19
% 26.66/27.01 Deletedinuse: 8
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 43859
% 26.66/27.01 Kept: 10169
% 26.66/27.01 Inuse: 498
% 26.66/27.01 Deleted: 24
% 26.66/27.01 Deletedinuse: 13
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 55141
% 26.66/27.01 Kept: 12176
% 26.66/27.01 Inuse: 553
% 26.66/27.01 Deleted: 27
% 26.66/27.01 Deletedinuse: 16
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 65737
% 26.66/27.01 Kept: 14181
% 26.66/27.01 Inuse: 604
% 26.66/27.01 Deleted: 32
% 26.66/27.01 Deletedinuse: 17
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 82568
% 26.66/27.01 Kept: 16183
% 26.66/27.01 Inuse: 636
% 26.66/27.01 Deleted: 33
% 26.66/27.01 Deletedinuse: 17
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 99396
% 26.66/27.01 Kept: 18422
% 26.66/27.01 Inuse: 684
% 26.66/27.01 Deleted: 34
% 26.66/27.01 Deletedinuse: 17
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying clauses:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 108950
% 26.66/27.01 Kept: 20472
% 26.66/27.01 Inuse: 709
% 26.66/27.01 Deleted: 483
% 26.66/27.01 Deletedinuse: 17
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 123407
% 26.66/27.01 Kept: 22623
% 26.66/27.01 Inuse: 759
% 26.66/27.01 Deleted: 483
% 26.66/27.01 Deletedinuse: 17
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 143551
% 26.66/27.01 Kept: 26160
% 26.66/27.01 Inuse: 829
% 26.66/27.01 Deleted: 484
% 26.66/27.01 Deletedinuse: 18
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 184050
% 26.66/27.01 Kept: 30858
% 26.66/27.01 Inuse: 895
% 26.66/27.01 Deleted: 491
% 26.66/27.01 Deletedinuse: 21
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 211346
% 26.66/27.01 Kept: 34348
% 26.66/27.01 Inuse: 900
% 26.66/27.01 Deleted: 493
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 233246
% 26.66/27.01 Kept: 36470
% 26.66/27.01 Inuse: 950
% 26.66/27.01 Deleted: 494
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 251697
% 26.66/27.01 Kept: 39136
% 26.66/27.01 Inuse: 964
% 26.66/27.01 Deleted: 494
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 261513
% 26.66/27.01 Kept: 41148
% 26.66/27.01 Inuse: 969
% 26.66/27.01 Deleted: 494
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying clauses:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 272885
% 26.66/27.01 Kept: 43273
% 26.66/27.01 Inuse: 1009
% 26.66/27.01 Deleted: 857
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 295066
% 26.66/27.01 Kept: 45766
% 26.66/27.01 Inuse: 1014
% 26.66/27.01 Deleted: 857
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 308084
% 26.66/27.01 Kept: 47801
% 26.66/27.01 Inuse: 1039
% 26.66/27.01 Deleted: 857
% 26.66/27.01 Deletedinuse: 23
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 337494
% 26.66/27.01 Kept: 50828
% 26.66/27.01 Inuse: 1099
% 26.66/27.01 Deleted: 859
% 26.66/27.01 Deletedinuse: 25
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 350991
% 26.66/27.01 Kept: 53436
% 26.66/27.01 Inuse: 1109
% 26.66/27.01 Deleted: 859
% 26.66/27.01 Deletedinuse: 25
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01 Resimplifying inuse:
% 26.66/27.01 Done
% 26.66/27.01
% 26.66/27.01
% 26.66/27.01 Intermediate Status:
% 26.66/27.01 Generated: 372075
% 26.66/27.01 Kept: 55705
% 26.66/27.01 Inuse: 1132
% 26.66/27.01 Deleted: 859
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 386963
% 147.84/148.20 Kept: 57706
% 147.84/148.20 Inuse: 1148
% 147.84/148.20 Deleted: 859
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 403888
% 147.84/148.20 Kept: 59837
% 147.84/148.20 Inuse: 1174
% 147.84/148.20 Deleted: 859
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying clauses:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 426889
% 147.84/148.20 Kept: 62631
% 147.84/148.20 Inuse: 1199
% 147.84/148.20 Deleted: 1186
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 443040
% 147.84/148.20 Kept: 64894
% 147.84/148.20 Inuse: 1229
% 147.84/148.20 Deleted: 1186
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 463061
% 147.84/148.20 Kept: 68793
% 147.84/148.20 Inuse: 1244
% 147.84/148.20 Deleted: 1186
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 475743
% 147.84/148.20 Kept: 70794
% 147.84/148.20 Inuse: 1268
% 147.84/148.20 Deleted: 1186
% 147.84/148.20 Deletedinuse: 25
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 496761
% 147.84/148.20 Kept: 73708
% 147.84/148.20 Inuse: 1309
% 147.84/148.20 Deleted: 1189
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 514427
% 147.84/148.20 Kept: 76106
% 147.84/148.20 Inuse: 1357
% 147.84/148.20 Deleted: 1191
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 529788
% 147.84/148.20 Kept: 79080
% 147.84/148.20 Inuse: 1382
% 147.84/148.20 Deleted: 1191
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 543283
% 147.84/148.20 Kept: 81081
% 147.84/148.20 Inuse: 1422
% 147.84/148.20 Deleted: 1191
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying clauses:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 572231
% 147.84/148.20 Kept: 84175
% 147.84/148.20 Inuse: 1432
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 585001
% 147.84/148.20 Kept: 86334
% 147.84/148.20 Inuse: 1467
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 600536
% 147.84/148.20 Kept: 88420
% 147.84/148.20 Inuse: 1502
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 613863
% 147.84/148.20 Kept: 90586
% 147.84/148.20 Inuse: 1517
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 645733
% 147.84/148.20 Kept: 94165
% 147.84/148.20 Inuse: 1542
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 661191
% 147.84/148.20 Kept: 96799
% 147.84/148.20 Inuse: 1562
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 674393
% 147.84/148.20 Kept: 98842
% 147.84/148.20 Inuse: 1577
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 691298
% 147.84/148.20 Kept: 101312
% 147.84/148.20 Inuse: 1592
% 147.84/148.20 Deleted: 1751
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying clauses:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 702762
% 147.84/148.20 Kept: 103667
% 147.84/148.20 Inuse: 1607
% 147.84/148.20 Deleted: 1863
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 740585
% 147.84/148.20 Kept: 109195
% 147.84/148.20 Inuse: 1622
% 147.84/148.20 Deleted: 1863
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 770595
% 147.84/148.20 Kept: 113123
% 147.84/148.20 Inuse: 1637
% 147.84/148.20 Deleted: 1863
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 782249
% 147.84/148.20 Kept: 115133
% 147.84/148.20 Inuse: 1657
% 147.84/148.20 Deleted: 1863
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 793590
% 147.84/148.20 Kept: 117517
% 147.84/148.20 Inuse: 1677
% 147.84/148.20 Deleted: 1863
% 147.84/148.20 Deletedinuse: 28
% 147.84/148.20
% 147.84/148.20 Resimplifying inuse:
% 147.84/148.20 Done
% 147.84/148.20
% 147.84/148.20
% 147.84/148.20 Intermediate Status:
% 147.84/148.20 Generated: 803268
% 147.84/148.20 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------