%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 : Wed Jul 20 16:28:47 EDT 2022
% Result : Unsatisfiable 0.96s 1.33s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV842-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.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 : Wed Jun 15 11:59:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.31 *** allocated 10000 integers for termspace/termends
% 0.96/1.31 *** allocated 10000 integers for clauses
% 0.96/1.31 *** allocated 10000 integers for justifications
% 0.96/1.31 *** allocated 15000 integers for termspace/termends
% 0.96/1.31 *** allocated 22500 integers for termspace/termends
% 0.96/1.31 Bliksem 1.12
% 0.96/1.31
% 0.96/1.31
% 0.96/1.31 Automatic Strategy Selection
% 0.96/1.31
% 0.96/1.31 Clauses:
% 0.96/1.31 [
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 0.96/1.31 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.96/1.31 'tc_bool' ) ), Y ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), T ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), T ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.31 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.31 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.96/1.31 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y
% 0.96/1.31 ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ],
% 0.96/1.31 [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.31 Z ) ), Y ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.31 Z ) ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ), hBOOL(
% 0.96/1.31 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, W
% 0.96/1.31 , T, U ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ],
% 0.96/1.31 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ), X ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.31 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~( 'c_Fun_Oinj__on'( X, U, Z, T
% 0.96/1.31 ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.96/1.31 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.96/1.31 Z ) ) ) ],
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.31 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.31 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.31 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.31 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.96/1.31 Y ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.31 , Y ) ],
% 0.96/1.31 [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X, W ) ), =( W
% 0.96/1.31 , Y ) ],
% 0.96/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.31 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.31 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.31 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.31 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X, Y, T ) ),
% 0.96/1.31 ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ],
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.31 ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.31 X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z,
% 0.96/1.31 'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.31 Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), 'c_Finite__Set_Ofold1'(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ) ), Z ) ), ~(
% 0.96/1.31 hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.31 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP(
% 0.96/1.31 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 0.96/1.31 ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), ~(
% 0.96/1.31 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.31 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_List_Oset'( Y, X ) ),
% 0.96/1.31 'c_List_Ofoldl'( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ), Y, X, X ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.96/1.31 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.96/1.31 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.31 ), Y ), Z ) ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.31 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.96/1.31 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.31 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) )
% 0.96/1.31 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.31 ) ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ),
% 0.96/1.31 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.31 hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) )
% 0.96/1.31 ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.31 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.31 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.31 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.31 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ],
% 0.96/1.31 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.96/1.31 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.96/1.31 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.31 ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.96/1.31 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.31 ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.96/1.31 , U, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ) ) ]
% 0.96/1.31 ,
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.31 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.31 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.96/1.31 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.96/1.31 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.96/1.31 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.96/1.31 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.31 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.31 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U,
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.31 , 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hBOOL( 'c_in'( U, T, Z ) ),
% 0.96/1.31 ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X ) ) ), ~(
% 0.96/1.31 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), 'c_Finite__Set_Ofold1'(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T, X ) ) ) ), =( T,
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.96/1.31 'c_Finite__Set_Ofinite'( T, X ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ),
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) ), ~( hBOOL( hAPP(
% 0.96/1.31 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.31 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.31 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.31 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.31 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U, Y ) ) ) ), ~(
% 0.96/1.31 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.96/1.31 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.96/1.31 ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.31 , Y ), U ), Z, T ) ), =( Y, U ) ],
% 0.96/1.31 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U, Z, T ) ) ),
% 0.96/1.31 ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z,
% 0.96/1.31 'tc_bool' ) ), Z, T ) ), =( Y, U ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'(
% 0.96/1.31 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.96/1.31 , 'c_Set_Oinsert'( T, Z, X ) ), X ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), X ), ~(
% 0.96/1.31 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.31 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.96/1.31 [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ), ~(
% 0.96/1.31 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.96/1.31 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ],
% 0.96/1.31 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ), ~(
% 0.96/1.31 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ],
% 0.96/1.31 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.31 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 0.96/1.31 , hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.31 hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ],
% 0.96/1.31 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 0.96/1.31 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, T, V2, V3
% 0.96/1.31 , U, Z ) ) ],
% 0.96/1.31 [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U, Y, Z, Z )
% 0.96/1.31 ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2, T, U,
% 0.96/1.31 V3, Z ) ) ],
% 0.96/1.31 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.31 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.31 ), Y ), Z ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ],
% 0.96/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y, W, T, U )
% 0.96/1.31 , 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.96/1.31 'tc_bool' ) ), Z ), X ), Y ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y,
% 0.96/1.31 'tc_bool' ) ), X ), Z ), Y ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.96/1.31 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.31 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.96/1.31 [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'( X, Y, Z, Z
% 0.96/1.31 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.31 'c_Set_Oimage'( X, Y, Z, Z ) ), Y ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z
% 0.96/1.31 ) ) ],
% 0.96/1.31 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.31 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ), =(
% 0.96/1.31 Y, Z ) ],
% 0.96/1.31 [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, V0, T, U
% 0.96/1.31 ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y, Z, T, U )
% 0.96/1.31 ), =( Y, W ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.31 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.96/1.31 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.31 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.31 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.96/1.32 , X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z )
% 0.96/1.32 , Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), ~( 'c_Fun_Oinj__on'( X, Z,
% 0.96/1.32 Y, U ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Y
% 0.96/1.32 , X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.96/1.32 , X, U, Y, W ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W, V0, U ),
% 0.96/1.32 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X, T ), U,
% 0.96/1.32 V0 ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~( 'c_Fun_Oinj__on'( X, T,
% 0.96/1.32 U, W ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.96/1.32 =( Y, Z ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) )
% 0.96/1.32 , ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W ) ),
% 0.96/1.32 =( Y, Z ) ],
% 0.96/1.32 [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'( X, T, U, W
% 0.96/1.32 ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL( 'c_in'( Y, T
% 0.96/1.32 , U ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.96/1.32 ), T ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.96/1.32 ), Z ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z
% 0.96/1.32 ), T ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T
% 0.96/1.32 ), Z ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.96/1.32 Y, Z, X ) ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.96/1.32 Y, X ) ],
% 0.96/1.32 [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP( X, Y ), Z )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oimage'( Z, T, U, W ), W, X ),
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'c_Fun_Ocomp'( Y, Z, W, X, U ), T, U, X ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( Z, T, U, W ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, Y, Z, Z ) ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 , U ), Y ), Z, T ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 , Y ), U ), Z, T ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ],
% 0.96/1.32 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y, Z ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.96/1.32 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.96/1.32 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.32 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.96/1.32 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.96/1.32 Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 T ), 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ), Z, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X
% 0.96/1.32 ), 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( U, T, Z ) ) ), ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'(
% 0.96/1.32 Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( T, Z ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.32 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 0.96/1.32 , X ), U, Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 0.96/1.32 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 0.96/1.32 , X ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.96/1.32 Z, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.96/1.32 Z, Y, X ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.32 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, T )
% 0.96/1.32 , U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z )
% 0.96/1.32 , Z ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( U,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Y ), Y ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 0.96/1.32 ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X, T ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.96/1.32 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), W ) ) ), ~(
% 0.96/1.32 'c_Fun_Oinj__on'( X, W, Y, U ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) ), 'c_Set_Oimage'(
% 0.96/1.32 X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~( 'c_Fun_Oinj__on'( X
% 0.96/1.32 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) ), Y, U ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.96/1.32 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.96/1.32 , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.96/1.32 X, Y, Z, U, T, T ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Z ), T ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T
% 0.96/1.32 , 'tc_bool' ) ), Z ), U ), T, X ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.96/1.32 U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), Y ), Y ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.96/1.32 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y, U, W ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 0.96/1.32 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.96/1.32 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 0.96/1.32 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.96/1.32 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, T, X ) ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.96/1.32 , V2, Z, Y ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.96/1.32 , Z, V2, Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z ) ) ) ],
% 0.96/1.32 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.96/1.32 , T ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.96/1.32 , Z ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 0.96/1.32 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.32 hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'( Y,
% 0.96/1.32 Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), Z
% 0.96/1.32 ), T ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.32 'c_Set_Oinsert'( Y, T, Z ), Z, U ) ) ],
% 0.96/1.32 [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ), hBOOL( 'c_in'(
% 0.96/1.32 hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ), T, U )
% 0.96/1.32 , U ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T, U ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ) ), T, U ), U ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y,
% 0.96/1.32 Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.96/1.32 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_List_Oset'( Y, X ) ),
% 0.96/1.32 'c_List_Ofoldl'( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice'(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.32 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 0.96/1.32 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 0.96/1.32 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 0.96/1.32 , X ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.96/1.32 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.96/1.32 'tc_bool' ) ), W ) ), U, W, V0 ) ), ~( hBOOL( 'c_in'( T, Z, W ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), hBOOL(
% 0.96/1.32 'c_in'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y,
% 0.96/1.32 'tc_nat' ) ), hBOOL( 'c_in'( T, Z, Y ) ) ],
% 0.96/1.32 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.96/1.32 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.96/1.32 Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ),
% 0.96/1.32 Z ), 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.96/1.32 'tc_bool' ) ), W ) ), U, W, V0 ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 Y ), Z ) ) ) ],
% 0.96/1.32 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.96/1.32 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.96/1.32 ), Y ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.96/1.32 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.96/1.32 Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.96/1.32 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.96/1.32 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.96/1.32 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.96/1.32 ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y, X ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.96/1.32 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.96/1.32 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Z ), Y ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ) ) ],
% 0.96/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.96/1.32 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 0.96/1.32 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 0.96/1.32 Z, 'v_x' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.96/1.32 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Z ), T ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ),
% 0.96/1.32 Z ) ), Y ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.96/1.32 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.96/1.32 , V3, V4, U ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.96/1.32 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.96/1.32 , V3, V4, U ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) ), =( X, Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.96/1.32 =( X, Z ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z, T ) ) ),
% 0.96/1.32 =( Y, T ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.96/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.96/1.32 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.96/1.32 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.96/1.32 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ), X ) )
% 0.96/1.32 , hBOOL( 'c_in'( Y, T, X ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.96/1.32 ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.96/1.32 , V2, Z, Y ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.96/1.32 , Z, V2, Y ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.96/1.32 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.32 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ) ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ) ), Y ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.96/1.32 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), X ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ), Z
% 0.96/1.32 ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ),
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 X, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.96/1.32 X, Z, T ) ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.96/1.32 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.96/1.32 V2, V3, V4, T ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.96/1.32 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.96/1.32 , U, V3, V4, T ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.96/1.32 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z,
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), T ), X ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Z ), T ), X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.96/1.32 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.32 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.96/1.32 , Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) )
% 0.96/1.32 , 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T ),
% 0.96/1.32 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.32 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ) ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T, U ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'( T, U ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T ), Z ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.96/1.32 , Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y, 't_a' ), 'v_x'
% 0.96/1.32 ), X ) ],
% 0.96/1.32 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.96/1.32 X ), Y ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T, U ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), hAPP( Y, Z ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.32 , =( Z, W ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.32 , =( Y, U ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T, U, W ) ) )
% 0.96/1.32 , =( X, T ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.96/1.32 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.96/1.32 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X, hAPP( Y, W ) )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T, U, W ), Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.96/1.32 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), Z ), X ), Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.96/1.32 'c_in'( X, hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z )
% 0.96/1.32 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) ), hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ), ~(
% 0.96/1.32 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.32 X, 'tc_bool' ) ), Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.96/1.32 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.96/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.32 , hAPP( T, X ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 0.96/1.32 X ), Y ) ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.96/1.32 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.32 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ],
% 0.96/1.32 [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0, W ),
% 0.96/1.32 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP( X, hAPP( Y
% 0.96/1.32 , 'v_x' ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( X ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.32 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 0.96/1.32 ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 0.96/1.32 ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y
% 0.96/1.32 ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T
% 0.96/1.32 ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.96/1.32 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 0.96/1.32 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Y ), T ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 X ), Y ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.32 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.32 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.96/1.32 [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0, V1, T, U )
% 0.96/1.32 ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) ), =( hAPP(
% 0.96/1.32 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T, U, V3, V1
% 0.96/1.32 , V4 ), W ) ) ],
% 0.96/1.32 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.32 , Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.32 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.96/1.32 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.96/1.32 U, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.96/1.32 , 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.32 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), Z ), Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.32 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.32 ), U ), T ) ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.96/1.32 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.32 , Z, X ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.32 Z ), Y ) ) ],
% 0.96/1.32 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X ),
% 0.96/1.32 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Z ), T ), U )
% 0.96/1.32 , 't_b', 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( X, 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Z ), T ), U )
% 0.96/1.32 , 't_b', 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X, hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), U ), Y, W ), hAPP(
% 0.96/1.32 hAPP( hAPP( X, Z ), T ), U ) ) ],
% 0.96/1.32 [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X, hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), U ), Y, W ), hAPP(
% 0.96/1.32 hAPP( hAPP( X, Z ), T ), U ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.96/1.32 ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.96/1.32 ), T ), X ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.32 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.96/1.32 ), Y ), X ) ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'c_COMBK'( hAPP(
% 0.96/1.32 'c_COMBC'( 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate',
% 0.96/1.32 'tc_Com_Ostate', 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y
% 0.96/1.32 , T, Z ) ), 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), Z ),
% 0.96/1.32 'c_COMBK'( hAPP( T, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) )
% 0.96/1.32 , 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.96/1.32 ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ],
% 0.96/1.32 [ ~( =( hAPP( X, hAPP( Y, 'c_List_Osko__List__Xfoldl__apply__inv__1__1'(
% 0.96/1.32 X, Y, Z, T ) ) ), 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z
% 0.96/1.32 , T ) ) ), =( 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X,
% 0.96/1.32 'c_List_Ofoldl'( hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1
% 0.96/1.32 , T ), 'tc_fun'( V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ),
% 0.96/1.32 Z ), X ) ), W, V0, Z, V1 ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), ~(
% 0.96/1.32 hBOOL( 'c_in'( U, T, Z ) ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OWhile'(
% 0.96/1.32 T, U ) ), 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T,
% 0.96/1.32 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.32 'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OBODY'(
% 0.96/1.32 T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OBODY'( T ) )
% 0.96/1.32 , U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'( hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.32 'c_Option_Othe'( 'c_Com_Obody'( T ), 'tc_Com_Ocom' ) ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OBODY'(
% 0.96/1.32 T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Option_Othe'(
% 0.96/1.32 'c_Com_Obody'( T ), 'tc_Com_Ocom' ) ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OCond'(
% 0.96/1.32 T, U, W ) ), V0 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.32 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.96/1.32 , 'tc_bool', 'tc_Com_Ostate' ), Y ) ), W ), V0 ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.32 'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), V0 ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, T ), U ),
% 0.96/1.32 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.96/1.32 'c_Set_Oimage'( X, 'c_Set_Oimage'( U, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T, Y ), Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.96/1.32 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.96/1.32 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 0.96/1.32 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.96/1.32 ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.32 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.96/1.32 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.96/1.32 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.32 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.96/1.32 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ), T ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.32 ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.32 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 0.96/1.32 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.32 'tc_bool' ) ), X ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.96/1.32 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.32 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.96/1.32 ],
% 0.96/1.32 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.96/1.32 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.32 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.32 ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), Y ),
% 0.96/1.32 'c_Set_Oinsert'( X, Z, Y ) ) ],
% 0.96/1.32 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.32 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.96/1.32 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.32 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ), Z ) ), Y ) ) ],
% 0.96/1.32 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.96/1.32 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ),
% 0.96/1.32 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( U, W ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.96/1.32 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.96/1.32 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y,
% 0.96/1.32 V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( U, W ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.96/1.32 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.96/1.32 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U )
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( Y,
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.96/1.32 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.96/1.32 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.96/1.32 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.32 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z )
% 0.96/1.32 , W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( Y,
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.96/1.32 , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.96/1.32 , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.96/1.32 , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( T,
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.96/1.32 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.96/1.32 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W )
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.96/1.32 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.96/1.32 , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ),
% 0.96/1.32 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.96/1.32 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), T ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.32 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 0.96/1.32 ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P' ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ), 'c_Set_Oinsert'( X
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ), =( T
% 0.96/1.32 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBB'( 'v_P', 't_a', 't_b', 't_c' ), 'v_Q' ), 'v_R'
% 0.96/1.32 ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ), 'v_R' ), hAPP(
% 0.96/1.32 hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSKIP'
% 0.96/1.32 ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.32 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OSemi'(
% 0.96/1.32 T, U ) ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W ),
% 0.96/1.32 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, U, W, T ), Y ), Z, T, W ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.96/1.32 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.32 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.96/1.32 U ), W ), V0 ) ) ), =( T, V0 ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.32 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.96/1.32 U ), W ), V0 ) ) ), =( Z, W ) ],
% 0.96/1.32 [ ~( =( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y )
% 0.96/1.32 , Z ), T ), hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ),
% 0.96/1.32 U ), W ), V0 ) ) ), =( Y, U ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.96/1.32 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.32 ) ), Y ) ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.96/1.32 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.96/1.32 X, T ), Y ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.96/1.32 , W ) ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.32 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.96/1.32 [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.32 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.32 'tc_bool' ) ) ) ],
% 0.96/1.32 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.96/1.32 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.32 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.96/1.32 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.96/1.32 ) ) ],
% 0.96/1.32 [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.32 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool'
% 0.96/1.32 ) ), Z, X ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oimage'( 'c_COMBS'(
% 0.96/1.32 'c_COMBS'( hAPP( 'c_COMBB'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' )
% 0.96/1.32 , 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'(
% 0.96/1.32 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.96/1.32 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ),
% 0.96/1.32 'v_P_H' ), 'v_c0', 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b',
% 0.96/1.32 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_b' ) ) ), 'v_Q_H', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate',
% 0.96/1.32 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a',
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ],
% 0.96/1.32 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oimage'(
% 0.96/1.32 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.32 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.32 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.96/1.32 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_P' ), 'v_c0',
% 0.96/1.32 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.32 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.32 ), 'v_Q', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.96/1.32 ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a',
% 0.96/1.32 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ) ],
% 0.96/1.32 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P', X
% 0.96/1.32 ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q', X ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 0.96/1.32 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP(
% 0.96/1.32 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P_H'
% 0.96/1.32 , X ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q_H', X ) ),
% 0.96/1.32 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.32 't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 0.96/1.32 ) ],
% 0.96/1.32 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Lattices_Odistrib__lattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.96/1.32 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.96/1.32 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Orderings_Opreorder'( Y ) ) ],
% 0.96/1.32 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Lattices_Olattice'( Y ) ) ],
% 0.96/1.32 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.32 'class_Orderings_Oorder'( Y ) ) ],
% 0.96/1.32 [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Otop'(
% 0.96/1.32 Y ) ) ],
% 0.96/1.32 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.96/1.32 Y ) ) ],
% 0.96/1.32 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.96/1.32 ,
% 0.96/1.32 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.96/1.32 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Orderings_Otop'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.96/1.32 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.96/1.32 [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X, W ), hAPP( Y
% 0.96/1.32 , W ) ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.96/1.32 U ) ) ],
% 0.96/1.32 [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X, hAPP( U, W
% 0.96/1.32 ) ) ) ],
% 0.96/1.32 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.96/1.32 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.96/1.32 ] .
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 percentage equality = 0.267101, percentage horn = 0.876364
% 0.96/1.32 This is a problem with some equality
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32
% 0.96/1.32 Options Used:
% 0.96/1.32
% 0.96/1.32 useres = 1
% 0.96/1.32 useparamod = 1
% 0.96/1.32 useeqrefl = 1
% 0.96/1.32 useeqfact = 1
% 0.96/1.32 usefactor = 1
% 0.96/1.32 usesimpsplitting = 0
% 0.96/1.32 usesimpdemod = 5
% 0.96/1.32 usesimpres = 3
% 0.96/1.32
% 0.96/1.32 resimpinuse = 1000
% 0.96/1.32 resimpclauses = 20000
% 0.96/1.32 substype = eqrewr
% 0.96/1.32 backwardsubs = 1
% 0.96/1.32 selectoldest = 5
% 0.96/1.32
% 0.96/1.32 litorderings [0] = split
% 0.96/1.32 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.32
% 0.96/1.32 termordering = kbo
% 0.96/1.32
% 0.96/1.32 litapriori = 0
% 0.96/1.32 termapriori = 1
% 0.96/1.32 litaposteriori = 0
% 0.96/1.32 termaposteriori = 0
% 0.96/1.32 demodaposteriori = 0
% 0.96/1.32 ordereqreflfact = 0
% 0.96/1.32
% 0.96/1.32 litselect = negord
% 0.96/1.32
% 0.96/1.32 maxweight = 15
% 0.96/1.32 maxdepth = 30000
% 0.96/1.32 maxlength = 115
% 0.96/1.32 maxnrvars = 195
% 0.96/1.32 excuselevel = 1
% 0.96/1.32 increasemaxweight = 1
% 0.96/1.32
% 0.96/1.32 maxselected = 10000000
% 0.96/1.32 maxnrclauses = 10000000
% 0.96/1.32
% 0.96/1.32 showgenerated = 0
% 0.96/1.32 showkept = 0
% 0.96/1.32 showselected = 0
% 0.96/1.32 showdeleted = 0
% 0.96/1.32 showresimp = 1
% 0.96/1.32 showstatus = 2000
% 0.96/1.32
% 0.96/1.32 prologoutput = 1
% 0.96/1.32 nrgoals = 5000000
% 0.96/1.32 totalproof = 1
% 0.96/1.32
% 0.96/1.32 Symbols occurring in the translation:
% 0.96/1.33
% 0.96/1.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.33 . [1, 2] (w:1, o:148, a:1, s:1, b:0),
% 0.96/1.33 ! [4, 1] (w:0, o:108, a:1, s:1, b:0),
% 0.96/1.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.33 'class_Lattices_Olattice' [40, 1] (w:1, o:113, a:1, s:1, b:0),
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup' [41, 1] (w:1, o:114, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 hAPP [43, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf' [44, 1] (w:1, o:115, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'class_Orderings_Opreorder' [46, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Oord__class_Oless' [47, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.96/1.33 hBOOL [48, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Olinorder' [49, 1] (w:1, o:120, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Oorder' [50, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.96/1.33 'class_HOL_Oord' [52, 1] (w:1, o:121, a:1, s:1, b:0),
% 0.96/1.33 'tc_fun' [53, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.96/1.33 'c_lessequals' [56, 1] (w:1, o:122, a:1, s:1, b:0),
% 0.96/1.33 'tc_bool' [57, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost' [60, 3] (w:1, o:190, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oordered__idom' [63, 1] (w:1, o:123, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'class_Lattices_Olower__semilattice' [64, 1] (w:1, o:124, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Fun_Ofun__upd' [67, 5] (w:1, o:219, a:1, s:1, b:0),
% 0.96/1.33 'c_Fun_Oinj__on' [70, 4] (w:1, o:201, a:1, s:1, b:0),
% 0.96/1.33 'c_Set_Oimage' [71, 4] (w:1, o:202, a:1, s:1, b:0),
% 0.96/1.33 'c_in' [72, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.96/1.33 'class_Lattices_Odistrib__lattice' [73, 1] (w:1, o:125, a:1, s:1, b:0
% 0.96/1.33 ),
% 0.96/1.33 'c_List_Oset' [75, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.96/1.33 'c_Finite__Set_Ofinite' [76, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.96/1.33 'class_Finite__Set_Ofinite_Ofinite' [77, 1] (w:1, o:126, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_Orderings_Otop__class_Otop' [78, 1] (w:1, o:127, a:1, s:1, b:0),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan' [80, 3] (w:1, o:192, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Orderings_Obot__class_Obot' [81, 1] (w:1, o:128, a:1, s:1, b:0),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost' [84, 3] (w:1, o:193
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Opordered__ab__group__add' [85, 1] (w:1, o:129
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'c_HOL_Ominus__class_Ominus' [86, 1] (w:1, o:130, a:1, s:1, b:0),
% 0.96/1.33 'c_Finite__Set_Ofold1' [89, 3] (w:1, o:194, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Oab__group__add' [90, 1] (w:1, o:131, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Finite__Set_Osetsum' [91, 4] (w:1, o:203, a:1, s:1, b:0),
% 0.96/1.33 'class_Complete__Lattice_Ocomplete__lattice' [92, 1] (w:1, o:132, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Complete__Lattice_OInf__class_OInf' [93, 1] (w:1, o:133, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_List_Ofoldl' [94, 5] (w:1, o:220, a:1, s:1, b:0),
% 0.96/1.33 'c_Set_Oinsert' [95, 3] (w:1, o:195, a:1, s:1, b:0),
% 0.96/1.33 'c_Finite__Set_Ofold__graph' [96, 6] (w:1, o:223, a:1, s:1, b:0),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [99, 4] (w:1
% 0.96/1.33 , o:204, a:1, s:1, b:0),
% 0.96/1.33 'c_Fun_Ocomp' [104, 5] (w:1, o:221, a:1, s:1, b:0),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice' [113, 9] (w:1, o:227, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'class_Lattices_Obounded__lattice' [114, 1] (w:1, o:134, a:1, s:1, b:
% 0.96/1.33 0),
% 0.96/1.33 'c_COMBI' [117, 1] (w:1, o:135, a:1, s:1, b:0),
% 0.96/1.33 'class_OrderedGroup_Ocomm__monoid__add' [118, 1] (w:1, o:136, a:1, s:
% 0.96/1.33 1, b:0),
% 0.96/1.33 'class_Lattices_Oupper__semilattice' [120, 1] (w:1, o:137, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Nitpick_Ofold__graph_H' [121, 6] (w:1, o:224, a:1, s:1, b:0),
% 0.96/1.33 'class_Ring__and__Field_Oring' [122, 1] (w:1, o:138, a:1, s:1, b:0),
% 0.96/1.33
% 0.96/1.33 'c_COMBB' [123, 4] (w:1, o:205, a:1, s:1, b:0),
% 0.96/1.33 'c_COMBS' [124, 5] (w:1, o:222, a:1, s:1, b:0),
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMax' [125, 2] (w:1, o:177, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMin' [126, 2] (w:1, o:178, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Finite__Set_Ofold1Set' [127, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.96/1.33 'c_Com_Ocom_OSemi' [130, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.96/1.33 'c_Com_Ocom_OBODY' [132, 1] (w:1, o:140, a:1, s:1, b:0),
% 0.96/1.33 'c_COMBK' [134, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.96/1.33 'c_COMBC' [136, 4] (w:1, o:206, a:1, s:1, b:0),
% 0.96/1.33 't_a' [139, 0] (w:1, o:76, a:1, s:1, b:0),
% 0.96/1.33 'v_x' [140, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.96/1.33 'c_The' [141, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.96/1.33 'c_Com_Ocom_OWhile' [145, 2] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.33 'c_Com_Ocom_OSKIP' [146, 0] (w:1, o:79, a:1, s:1, b:0),
% 0.96/1.33 'c_Collect' [149, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup' [152, 1] (w:1, o:141, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'tc_nat' [154, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.96/1.33 'c_Com_Ocom_OCond' [155, 3] (w:1, o:198, a:1, s:1, b:0),
% 0.96/1.33 'class_HOL_Ominus' [156, 1] (w:1, o:142, a:1, s:1, b:0),
% 0.96/1.33 'c_fequal' [157, 1] (w:1, o:143, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Obot' [159, 1] (w:1, o:144, a:1, s:1, b:0),
% 0.96/1.33 'class_Orderings_Otop' [165, 1] (w:1, o:145, a:1, s:1, b:0),
% 0.96/1.33 't_b' [172, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.96/1.33 'c_Hoare__Mirabelle_Otriple_Otriple' [173, 1] (w:1, o:146, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'c_Hoare__Mirabelle_Otriple_Otriple__case' [176, 4] (w:1, o:207, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Hoare__Mirabelle_Otriple_Otriple__rec' [179, 4] (w:1, o:208, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Hoare__Mirabelle_Ohoare__derivs' [181, 3] (w:1, o:199, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'tc_Hoare__Mirabelle_Otriple' [182, 1] (w:1, o:147, a:1, s:1, b:0),
% 0.96/1.33 'tc_Com_Ostate' [185, 0] (w:1, o:92, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xescape__2' [186, 4] (w:1, o:210, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xescape__1' [187, 4] (w:1, o:209, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_P' [188, 0] (w:1, o:93, a:1, s:1, b:0),
% 0.96/1.33 't_c' [189, 0] (w:1, o:94, a:1, s:1, b:0),
% 0.96/1.33 'v_Q' [190, 0] (w:1, o:96, a:1, s:1, b:0),
% 0.96/1.33 'v_R' [191, 0] (w:1, o:98, a:1, s:1, b:0),
% 0.96/1.33 'c_List_Osko__List__Xfoldl__apply__inv__1__1' [192, 4] (w:1, o:211
% 0.96/1.33 , a:1, s:1, b:0),
% 0.96/1.33 'c_Not' [194, 0] (w:1, o:99, a:1, s:1, b:0),
% 0.96/1.33 'c_Hoare__Mirabelle_Opeek__and' [195, 3] (w:1, o:200, a:1, s:1, b:0)
% 0.96/1.33 ,
% 0.96/1.33 'c_Com_Obody' [197, 1] (w:1, o:139, a:1, s:1, b:0),
% 0.96/1.33 'tc_Com_Ocom' [198, 0] (w:1, o:101, a:1, s:1, b:0),
% 0.96/1.33 'c_Option_Othe' [199, 2] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.33 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [200, 2] (w:1, o:184, a:1
% 0.96/1.33 , s:1, b:0),
% 0.96/1.33 'c_Set_Ocontents' [201, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [203, 6] (w:1
% 0.96/1.33 , o:225, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [204, 4] (w:1
% 0.96/1.33 , o:213, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__3' [207, 4] (w:1, o:216, a:1, s:
% 0.96/1.33 1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__2' [208, 4] (w:1, o:215, a:1, s:
% 0.96/1.33 1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [209, 6] (w:
% 0.96/1.33 1, o:226, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [210, 4] (w:
% 0.96/1.33 1, o:218, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [211, 4] (w:
% 0.96/1.33 1, o:217, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [212, 4] (w:1
% 0.96/1.33 , o:212, a:1, s:1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__1' [213, 2] (w:1, o:188, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq2__2' [214, 2] (w:1, o:189, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq12__1' [215, 4] (w:1, o:214, a:1, s:
% 0.96/1.33 1, b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__1' [216, 2] (w:1, o:186, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_sko__Hoare__Mirabelle__Xconseq1__2' [217, 2] (w:1, o:187, a:1, s:1
% 0.96/1.33 , b:0),
% 0.96/1.33 'v_G' [220, 0] (w:1, o:103, a:1, s:1, b:0),
% 0.96/1.33 'v_P_H' [221, 0] (w:1, o:95, a:1, s:1, b:0),
% 0.96/1.33 'v_c0' [222, 0] (w:1, o:104, a:1, s:1, b:0),
% 0.96/1.33 'v_Q_H' [223, 0] (w:1, o:97, a:1, s:1, b:0).
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Starting Search:
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 Bliksems!, er is een bewijs:
% 0.96/1.33 % SZS status Unsatisfiable
% 0.96/1.33 % SZS output start Refutation
% 0.96/1.33
% 0.96/1.33 clause( 435, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.33 Y ), 'tc_bool' ) ), Y ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 442, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.33 .
% 0.96/1.33 clause( 445, [] )
% 0.96/1.33 .
% 0.96/1.33
% 0.96/1.33
% 0.96/1.33 % SZS output end Refutation
% 0.96/1.33 found a proof!
% 0.96/1.33
% 0.96/1.33 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.33
% 0.96/1.33 initialclauses(
% 0.96/1.33 [ clause( 447, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ] )
% 0.96/1.33 , clause( 448, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ] )
% 0.96/1.33 , clause( 449, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ] )
% 0.96/1.33 , clause( 450, [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ] )
% 0.96/1.33 , clause( 451, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), T ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 452, [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), Y ) ) ) ] )
% 0.96/1.33 , clause( 453, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 X ), T ), Y ) ) ) ] )
% 0.96/1.33 , clause( 454, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 X ), T ), Y ) ) ) ] )
% 0.96/1.33 , clause( 455, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ] )
% 0.96/1.33 , clause( 456, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 457, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ), =( Z, Y ) ] )
% 0.96/1.33 , clause( 458, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 459, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 460, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), Y ) ] )
% 0.96/1.33 , clause( 461, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 462, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 463, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 464, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 465, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 466, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 467, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ] )
% 0.96/1.33 , clause( 468, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ] )
% 0.96/1.33 , clause( 469, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ] )
% 0.96/1.33 , clause( 470, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), Y ), Z ) ] )
% 0.96/1.33 , clause( 471, [ =( 'c_Fun_Ofun__upd'( X, Y, hAPP( X, Y ), Z, T ), X ) ] )
% 0.96/1.33 , clause( 472, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ] )
% 0.96/1.33 , clause( 473, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ] )
% 0.96/1.33 , clause( 474, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 475, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 476, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 477, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Z ) ) ] )
% 0.96/1.33 , clause( 478, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), Y ) ) ] )
% 0.96/1.33 , clause( 479, [ 'c_Fun_Oinj__on'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W, T
% 0.96/1.33 , U ), hBOOL( 'c_in'( Z, 'c_Set_Oimage'( X, W, T, U ), U ) ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( X, W, T, U ) ) ] )
% 0.96/1.33 , clause( 480, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 481, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 482, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 483, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 484, [ 'c_Finite__Set_Ofinite'( 'c_List_Oset'( X, Y ), Y ) ] )
% 0.96/1.33 , clause( 485, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.96/1.33 'c_Finite__Set_Ofinite'( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ] )
% 0.96/1.33 , clause( 486, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Y ), Y ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 487, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ] )
% 0.96/1.33 , clause( 488, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), T ), Z ) ) ) ] )
% 0.96/1.33 , clause( 489, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), U ) ) ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( X, U, Z, T ) ) ] )
% 0.96/1.33 , clause( 490, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ) ] )
% 0.96/1.33 , clause( 491, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 492, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 493, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.96/1.33 , clause( 494, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 495, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 496, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 497, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 498, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 499, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 500, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X
% 0.96/1.33 , W ) ), =( W, Y ) ] )
% 0.96/1.33 , clause( 501, [ =( hAPP( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W ), hAPP( X
% 0.96/1.33 , W ) ), =( W, Y ) ] )
% 0.96/1.33 , clause( 502, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 503, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.33 ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), U ) ) ) ] )
% 0.96/1.33 , clause( 504, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Fun_Oinj__on'( Z, X
% 0.96/1.33 , Y, T ) ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( Z, X, Y, T ), T )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 505, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 506, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ] )
% 0.96/1.33 , clause( 507, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 508, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 509, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 510, [ =( X, Y ), hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.96/1.33 , clause( 511, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), =( Y, Z ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 512, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ] )
% 0.96/1.33 , clause( 513, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 514, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 515, [ ~( 'class_Orderings_Oorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 516, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 517, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 518, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 519, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), 'c_Finite__Set_Ofold1'(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y, X ) ), Z ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 520, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ), U ), Z, X ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'( Y, T, Z, X )
% 0.96/1.33 ), 'c_Finite__Set_Osetsum'( Y, U, Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), U ), T ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( T, Z ) ) ] )
% 0.96/1.33 , clause( 521, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_List_Oset'( Y, X
% 0.96/1.33 ) ), 'c_List_Ofoldl'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.96/1.33 , 'c_Orderings_Otop__class_Otop'( X ), Y, X, X ) ) ] )
% 0.96/1.33 , clause( 522, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 523, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 524, [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T
% 0.96/1.33 , U ), hAPP( hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.96/1.33 X, Y, T, W, U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ] )
% 0.96/1.33 , clause( 525, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), Z ) ), ~( hBOOL( 'c_in'( T, Z, X ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( T, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 526, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 527, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ) ] )
% 0.96/1.33 , clause( 528, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ) ] )
% 0.96/1.33 , clause( 529, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.33 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 530, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.33 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ] )
% 0.96/1.33 , clause( 531, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W,
% 0.96/1.33 T, U ), 'c_Set_Oimage'( X, W, T, U ) ), hBOOL( 'c_in'( Y, W, T ) ) ] )
% 0.96/1.33 , clause( 532, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.96/1.33 , Y, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 533, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z
% 0.96/1.33 , T, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 534, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 535, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 536, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 537, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 538, [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL(
% 0.96/1.33 'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 0.96/1.33 , clause( 539, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.33 , 'c_Finite__Set_Osetsum'( Y, T, Z, X ) ), hBOOL( 'c_in'( U, T, Z ) ),
% 0.96/1.33 ~( 'c_Finite__Set_Ofinite'( T, Z ) ) ] )
% 0.96/1.33 , clause( 540, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( 'c_in'( Z, T, X )
% 0.96/1.33 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.96/1.33 'c_Finite__Set_Ofold1'( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.96/1.33 , T, X ) ) ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( T, X ) ) ] )
% 0.96/1.33 , clause( 541, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 542, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 543, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), 'c_Set_Oimage'( Z, T, U
% 0.96/1.33 , Y ) ) ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 0.96/1.33 , clause( 544, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U,
% 0.96/1.33 Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.33 , Y ), U ), Z, T ) ), =( Y, U ) ] )
% 0.96/1.33 , clause( 545, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ), 'c_Set_Oimage'( X, U,
% 0.96/1.33 Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), Z, T ) ), =( Y, U ) ] )
% 0.96/1.33 , clause( 546, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ),
% 0.96/1.33 ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ), X ) ) ] )
% 0.96/1.33 , clause( 547, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, T, X ) ), X ), ~( 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ), X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 548, [ 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T
% 0.96/1.33 ), ~( 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( Y, W, U, Z ) ) ] )
% 0.96/1.33 , clause( 549, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W )
% 0.96/1.33 , ~( 'c_Fun_Oinj__on'( 'c_Fun_Ocomp'( X, Y, U, W, T ), Z, T, W ) ) ] )
% 0.96/1.33 , clause( 550, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.33 , Z, X ) ), hAPP( hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X )
% 0.96/1.33 , Y ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), Z ) ) ) ] )
% 0.96/1.33 , clause( 551, [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U
% 0.96/1.33 , Y, Z, Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1
% 0.96/1.33 , T, V2, V3, U, Z ) ) ] )
% 0.96/1.33 , clause( 552, [ =( hAPP( X, 'c_List_Oset'( Y, Z ) ), 'c_List_Ofoldl'( T, U
% 0.96/1.33 , Y, Z, Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1
% 0.96/1.33 , V2, T, U, V3, Z ) ) ] )
% 0.96/1.33 , clause( 553, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 554, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ), Y ) ] )
% 0.96/1.33 , clause( 555, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ) ] )
% 0.96/1.33 , clause( 556, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ),
% 0.96/1.33 Y, W, T, U ), 'c_Fun_Ofun__upd'( X, Y, W, T, U ) ) ] )
% 0.96/1.33 , clause( 557, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Y,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 558, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ), =( Z,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 559, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , Z ), X ), Y ) ) ] )
% 0.96/1.33 , clause( 560, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 561, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 562, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 563, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 564, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 565, [ =( 'c_Set_Oimage'( X, Y, Z, Z ), Y ), ~( 'c_Fun_Oinj__on'(
% 0.96/1.33 X, Y, Z, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oimage'( X, Y, Z, Z ) ), Y ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.96/1.33 , clause( 566, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.96/1.33 X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ),
% 0.96/1.33 =( Y, Z ) ] )
% 0.96/1.33 , clause( 567, [ =( 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ),
% 0.96/1.33 W, V0, T, U ), 'c_Fun_Ofun__upd'( 'c_Fun_Ofun__upd'( X, W, V0, T, U ), Y
% 0.96/1.33 , Z, T, U ) ), =( Y, W ) ] )
% 0.96/1.33 , clause( 568, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 569, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), X ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 570, [ 'c_Fun_Oinj__on'( 'c_COMBI'( X ), Y, X, X ) ] )
% 0.96/1.33 , clause( 571, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ),
% 0.96/1.33 ~( 'c_Finite__Set_Ofinite'( Y, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 572, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ), Y ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.96/1.33 Z, Y ) ) ] )
% 0.96/1.33 , clause( 573, [ 'c_Fun_Oinj__on'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U
% 0.96/1.33 ), ~( 'c_Fun_Oinj__on'( X, Z, Y, U ) ) ] )
% 0.96/1.33 , clause( 574, [ 'c_Finite__Set_Ofinite'( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ), X ),
% 0.96/1.33 ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 575, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 576, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 577, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofold__graph'( Z, T, X, U, Y, W ) ) ] )
% 0.96/1.33 , clause( 578, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 579, [ ~( 'class_Lattices_Odistrib__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 580, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 581, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), T ), Z ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 582, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), T ), Y ) ) ) ] )
% 0.96/1.33 , clause( 583, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), Z ) ) ) ] )
% 0.96/1.33 , clause( 584, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 585, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ) ) ] )
% 0.96/1.33 , clause( 586, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Y ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.96/1.33 , clause( 587, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 588, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 589, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 590, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 591, [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( Y, X ) ), T ), Z ) ) ) ] )
% 0.96/1.33 , clause( 592, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 593, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ofun__upd'( Y, Z, T, U, W ), W
% 0.96/1.33 , V0, U ), 'c_Fun_Ofun__upd'( 'c_Fun_Ocomp'( X, Y, W, V0, U ), Z, hAPP( X
% 0.96/1.33 , T ), U, V0 ) ) ] )
% 0.96/1.33 , clause( 594, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), =( Y, Z ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( X, T, U, W ) ) ] )
% 0.96/1.33 , clause( 595, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 0.96/1.33 , U, W ) ), =( Y, Z ) ] )
% 0.96/1.33 , clause( 596, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , T, U ) ) ), ~( hBOOL( 'c_in'( Y, T, U ) ) ), ~( 'c_Fun_Oinj__on'( X, T
% 0.96/1.33 , U, W ) ), =( Y, Z ) ] )
% 0.96/1.33 , clause( 597, [ ~( =( hAPP( X, Y ), hAPP( X, Z ) ) ), ~( 'c_Fun_Oinj__on'(
% 0.96/1.33 X, T, U, W ) ), =( Y, Z ), ~( hBOOL( 'c_in'( Z, T, U ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( Y, T, U ) ) ) ] )
% 0.96/1.33 , clause( 598, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 599, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Y ) )
% 0.96/1.33 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 600, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), Z ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 601, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 602, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 603, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ) ] )
% 0.96/1.33 , clause( 604, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ) ) ) ) ] )
% 0.96/1.33 , clause( 605, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 606, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 607, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Z ), T ) ) ) ) ] )
% 0.96/1.33 , clause( 608, [ ~( 'class_Lattices_Olower__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), T ), Z ) ) ) ) ] )
% 0.96/1.33 , clause( 609, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 610, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 611, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( X ), T ), U ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), U ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 612, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 0.96/1.33 , clause( 613, [ ~( =( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), X ) ), =( hAPP(
% 0.96/1.33 X, Y ), Z ) ] )
% 0.96/1.33 , clause( 614, [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oimage'( Z, T, U, W ), W, X ),
% 0.96/1.33 'c_Finite__Set_Osetsum'( 'c_Fun_Ocomp'( Y, Z, W, X, U ), T, U, X ) ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( Z, T, U, W ) ) ] )
% 0.96/1.33 , clause( 615, [ 'c_Fun_Oinj__on'( X, Y, Z, Z ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), 'c_Set_Oimage'( X, Y, Z
% 0.96/1.33 , Z ) ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.96/1.33 , clause( 616, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), U ), Y ), Z, T ) ) ] )
% 0.96/1.33 , clause( 617, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.33 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), Y ), U ), Z, T ) ) ] )
% 0.96/1.33 , clause( 618, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 619, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 620, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.33 , clause( 621, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), 'c_Orderings_Obot__class_Obot'( X
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 622, [ ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.33 , clause( 623, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 0.96/1.33 , clause( 624, [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 625, [ 'c_Fun_Oinj__on'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ) ] )
% 0.96/1.33 , clause( 626, [ 'c_Finite__Set_Ofold__graph'( X, Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 627, [ 'c_Nitpick_Ofold__graph_H'( X, Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 628, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.96/1.33 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.96/1.33 , clause( 629, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 0.96/1.33 , clause( 630, [ 'c_Fun_Oinj__on'( X, Y, Z, T ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.33 'c_Set_Oinsert'( U, Y, Z ), Z, T ) ) ] )
% 0.96/1.33 , clause( 631, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( X, Y, Z, T ), T )
% 0.96/1.33 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.96/1.33 , clause( 632, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.33 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'(
% 0.96/1.33 Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( T, Z ) ) ] )
% 0.96/1.33 , clause( 633, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( U,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Z, X )
% 0.96/1.33 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), 'c_Finite__Set_Osetsum'(
% 0.96/1.33 Y, T, Z, X ) ), hAPP( Y, U ) ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( T, Z ) ) ] )
% 0.96/1.33 , clause( 634, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.96/1.33 'c_Finite__Set_Osetsum'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), X, 'tc_fun'( X, X ), Y ), Z ), T, Y, X
% 0.96/1.33 , X ), U, Y, X ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ),
% 0.96/1.33 'c_Finite__Set_Osetsum'( Z, U, Y, X ) ), 'c_Finite__Set_Osetsum'( T, U, Y
% 0.96/1.33 , X ) ) ) ] )
% 0.96/1.33 , clause( 635, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL(
% 0.96/1.33 'c_in'( Z, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 636, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL(
% 0.96/1.33 'c_in'( Z, Y, X ) ), hBOOL( 'c_in'( Z, T, X ) ) ] )
% 0.96/1.33 , clause( 637, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) )
% 0.96/1.33 , ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 638, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 639, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 640, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U )
% 0.96/1.33 , U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, U ) ) ] )
% 0.96/1.33 , clause( 641, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( hAPP( T, X )
% 0.96/1.33 , 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( T,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, U ) ) ] )
% 0.96/1.33 , clause( 642, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( hAPP( 'c_COMBB'(
% 0.96/1.33 X, Y, Z, T ), U ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool'
% 0.96/1.33 ) ), T, Z ), Z ), ~( 'c_Finite__Set_Ofinite'( 'c_Set_Oimage'( U,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Y ), Y ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 643, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U
% 0.96/1.33 ) ) ), ~( 'c_Fun_Oinj__on'( Y, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), T, X ) ) ] )
% 0.96/1.33 , clause( 644, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X, T
% 0.96/1.33 ) ) ) ), ~( 'c_Fun_Oinj__on'( U, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X, T ) ) ] )
% 0.96/1.33 , clause( 645, [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U
% 0.96/1.33 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.33 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), T ), W ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), Z )
% 0.96/1.33 , W ) ) ), ~( 'c_Fun_Oinj__on'( X, W, Y, U ) ) ] )
% 0.96/1.33 , clause( 646, [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y, U
% 0.96/1.33 ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.33 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ), ~(
% 0.96/1.33 'c_Fun_Oinj__on'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y, U ) ) ] )
% 0.96/1.33 , clause( 647, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.33 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 648, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 649, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.96/1.33 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 650, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 651, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.96/1.33 , clause( 652, [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'(
% 0.96/1.33 Y, Z, T ), T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofold__graph'( X, Y, Z, U, T, T ) ) ] )
% 0.96/1.33 , clause( 653, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 654, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 655, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 656, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 657, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 658, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 659, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 660, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 661, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 662, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 663, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 664, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 665, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), T ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 666, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 667, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Z ), T ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 668, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 0.96/1.33 'c_Set_Oimage'( Y, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T
% 0.96/1.33 , 'tc_bool' ) ), Z ), U ), T, X ) ) ) ] )
% 0.96/1.33 , clause( 669, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), Z ), T ) ) ), =( Z, T ) ] )
% 0.96/1.33 , clause( 670, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( X ), T ), T ) ) ), =( Y, Z ) ] )
% 0.96/1.33 , clause( 671, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X,
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Z, 'tc_bool' ) ), Z, T ), T ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 672, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ), Z ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 673, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OBODY'( Z )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 674, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 0.96/1.33 , clause( 675, [ =( hAPP( 'c_COMBI'( X ), Y ), Y ) ] )
% 0.96/1.33 , clause( 676, [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP(
% 0.96/1.33 hAPP( X, W ), U ) ) ] )
% 0.96/1.33 , clause( 677, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 678, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 679, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ] )
% 0.96/1.33 , clause( 680, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Y ), Y ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 681, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Y ), Y ) ] )
% 0.96/1.33 , clause( 682, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( 't_a', X ) ), Y )
% 0.96/1.33 , Z ), 'v_x' ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 X ), hAPP( Y, 'v_x' ) ), hAPP( Z, 'v_x' ) ) ) ] )
% 0.96/1.33 , clause( 683, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSemi'( Y, Z )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 684, [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.33 , U, W ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oimage'( X, U, W, T ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 685, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, T, X ) ) ) ) ] )
% 0.96/1.33 , clause( 686, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.96/1.33 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ) ), T ) ) ) ] )
% 0.96/1.33 , clause( 687, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.96/1.33 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ) ), T ) ) ) ] )
% 0.96/1.33 , clause( 688, [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.96/1.33 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ] )
% 0.96/1.33 , clause( 689, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 0.96/1.33 , clause( 690, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( Y, Z ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 0.96/1.33 , clause( 691, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( Y, T, X ) ) ) ] )
% 0.96/1.33 , clause( 692, [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X,
% 0.96/1.33 U, W, V0, V1, V2, Z, Y ) ) ] )
% 0.96/1.33 , clause( 693, [ =( hAPP( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T,
% 0.96/1.33 U, W, V0, V1, Z, V2, Y ) ) ] )
% 0.96/1.33 , clause( 694, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSKIP' ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 695, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OWhile'( Y, Z )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 696, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.96/1.33 , clause( 697, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.96/1.33 ) ) ), =( Y, T ) ] )
% 0.96/1.33 , clause( 698, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.96/1.33 ) ) ), =( X, Z ) ] )
% 0.96/1.33 , clause( 699, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OWhile'( Z,
% 0.96/1.33 T ) ) ) ] )
% 0.96/1.33 , clause( 700, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.33 , Z, X ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.96/1.33 , Y ), hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ) ] )
% 0.96/1.33 , clause( 701, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), 'c_Orderings_Otop__class_Otop'( X
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 702, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ), Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 703, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( 'c_List_Oset'(
% 0.96/1.33 Y, Z ), T, Z, X ), 'c_List_Ofoldl'( 'c_COMBC'( hAPP( 'c_COMBB'(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), X, 'tc_fun'( X, X ), Z
% 0.96/1.33 ), T ), Z, X, X ), 'c_Orderings_Obot__class_Obot'( X ), Y, X, Z ) ) ] )
% 0.96/1.33 , clause( 704, [ ~( hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ),
% 0.96/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.33 'tc_bool' ) ), Z ) ), Z, U ), U ) ) ), ~( 'c_Fun_Oinj__on'( X,
% 0.96/1.33 'c_Set_Oinsert'( Y, T, Z ), Z, U ) ) ] )
% 0.96/1.33 , clause( 705, [ 'c_Fun_Oinj__on'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.96/1.33 hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), Z ),
% 0.96/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ), T ) ), T, U ), U ) ), ~( 'c_Fun_Oinj__on'( X, Z, T, U ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 706, [ =( 'c_Set_Oimage'( 'c_Fun_Ofun__upd'( X, Y, Z, T, U ), W,
% 0.96/1.33 T, U ), 'c_Set_Oinsert'( Z, 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( T, 'tc_bool' ) ), W ),
% 0.96/1.33 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ), T ) ), T, U ), U ) ), ~( hBOOL( 'c_in'( Y, W, T ) ) ) ] )
% 0.96/1.33 , clause( 707, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) ) ] )
% 0.96/1.33 , clause( 708, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y,
% 0.96/1.33 Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 709, [ ~( 'class_Orderings_Olinorder'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.96/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X
% 0.96/1.33 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 710, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 711, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.96/1.33 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 712, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_List_Oset'( Y, X
% 0.96/1.33 ) ), 'c_List_Ofoldl'( 'c_Lattices_Oupper__semilattice__class_Osup'( X )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( X ), Y, X, X ) ) ] )
% 0.96/1.33 , clause( 713, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice'(
% 0.96/1.33 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.33 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_COMBC'( 'c_lessequals'( X
% 0.96/1.33 ), X, X, 'tc_bool' ), 'c_COMBC'( 'c_HOL_Oord__class_Oless'( X ), X, X,
% 0.96/1.33 'tc_bool' ), 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.33 'c_Lattices_Olower__semilattice__class_Oinf'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ), 'c_Orderings_Obot__class_Obot'( X )
% 0.96/1.33 , X ) ] )
% 0.96/1.33 , clause( 714, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 715, [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U
% 0.96/1.33 ), W, V0 ), ~( 'c_Nitpick_Ofold__graph_H'( X, Y, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ),
% 0.96/1.33 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.96/1.33 'tc_bool' ) ), W ) ), U, W, V0 ) ), ~( hBOOL( 'c_in'( T, Z, W ) ) ) ] )
% 0.96/1.33 , clause( 716, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.96/1.33 ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, T, X ) ) ) ) ] )
% 0.96/1.33 , clause( 717, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), T ) ) ), hBOOL( 'c_in'( Z, T, X ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 718, [ hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z
% 0.96/1.33 , Y, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_HOL_Oord__class_Oless'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ) ) ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Oord__class_Oless'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 719, [ =( 'c_Finite__Set_Osetsum'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ), Y, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Z, Y,
% 0.96/1.33 'tc_nat' ) ), hBOOL( 'c_in'( T, Z, Y ) ) ] )
% 0.96/1.33 , clause( 720, [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T )
% 0.96/1.33 , U ), W, V0 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~(
% 0.96/1.33 'c_Finite__Set_Ofold__graph'( X, Y, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( W, 'tc_bool' ) ), Z ),
% 0.96/1.33 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.96/1.33 'tc_bool' ) ), W ) ), U, W, V0 ) ) ] )
% 0.96/1.33 , clause( 721, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 722, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 723, [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'(
% 0.96/1.33 Z, T, T, 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T )
% 0.96/1.33 , ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1
% 0.96/1.33 , T ) ) ] )
% 0.96/1.33 , clause( 724, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Z ), Y ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 725, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OCond'( X, Y, Z ) )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 726, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ), Z ) ), Y ) ) ] )
% 0.96/1.33 , clause( 727, [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL(
% 0.96/1.33 hAPP( Y, X ) ) ) ] )
% 0.96/1.33 , clause( 728, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X
% 0.96/1.33 , Z ), Z ) ) ) ] )
% 0.96/1.33 , clause( 729, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ] )
% 0.96/1.33 , clause( 730, [ hBOOL( 'c_in'( X, hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Z ), T ), Y ) ), hBOOL( 'c_in'( X, T, Y ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ] )
% 0.96/1.33 , clause( 731, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) )
% 0.96/1.33 , Y ) ) ) ] )
% 0.96/1.33 , clause( 732, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 X, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool'
% 0.96/1.33 ) ), Y ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 733, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z
% 0.96/1.33 , X, T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 0.96/1.33 , 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 734, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.96/1.33 Z, Y, X ) ) ] )
% 0.96/1.33 , clause( 735, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X
% 0.96/1.33 ) ) ) ) ] )
% 0.96/1.33 , clause( 736, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.96/1.33 Z, Y, X ) ) ] )
% 0.96/1.33 , clause( 737, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y
% 0.96/1.33 , X ) ) ] )
% 0.96/1.33 , clause( 738, [ hBOOL( 'c_in'( X,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.96/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 0.96/1.33 , clause( 739, [ hBOOL( 'c_in'( X,
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.96/1.33 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 0.96/1.33 , clause( 740, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.96/1.33 ), Z ) ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 741, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Z ), Y ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 742, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.96/1.33 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 743, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( 't_a', X ) ), Y ), Z ), 'v_x' ),
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), hAPP( Y, 'v_x' ) ), hAPP(
% 0.96/1.33 Z, 'v_x' ) ) ) ] )
% 0.96/1.33 , clause( 744, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.96/1.33 ), T ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Z ), T ) ) ) ] )
% 0.96/1.33 , clause( 745, [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.33 , 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ),
% 0.96/1.33 Z ) ), Y ) ) ] )
% 0.96/1.33 , clause( 746, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( T, Z, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W
% 0.96/1.33 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 0.96/1.33 , clause( 747, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( Y, T, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z
% 0.96/1.33 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 0.96/1.33 , clause( 748, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 749, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 750, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), Y ) ) ] )
% 0.96/1.33 , clause( 751, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OBODY'( Y ) ) )
% 0.96/1.33 , =( X, Y ) ] )
% 0.96/1.33 , clause( 752, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 0.96/1.33 , T ) ) ), =( X, Z ) ] )
% 0.96/1.33 , clause( 753, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OWhile'( Z
% 0.96/1.33 , T ) ) ), =( Y, T ) ] )
% 0.96/1.33 , clause( 754, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ) ) ] )
% 0.96/1.33 , clause( 755, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 756, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 757, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSKIP' )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 758, [ hBOOL( hAPP(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( W, X, Z ) ) ) ] )
% 0.96/1.33 , clause( 759, [ hBOOL( hAPP(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( W, X, Z ) ) ) ] )
% 0.96/1.33 , clause( 760, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OCond'( Z,
% 0.96/1.33 T, U ) ) ) ] )
% 0.96/1.33 , clause( 761, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OBODY'( X ) ) ) ] )
% 0.96/1.33 , clause( 762, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y,
% 0.96/1.33 hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Z )
% 0.96/1.33 , T ), X ) ), hBOOL( 'c_in'( Y, T, X ) ) ] )
% 0.96/1.33 , clause( 763, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 764, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ), Z ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.96/1.33 , 'tc_bool' ) ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Z ), T ) ) ) ) ] )
% 0.96/1.33 , clause( 765, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ), T )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 766, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( U, X ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 767, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ), Y ) ] )
% 0.96/1.33 , clause( 768, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ] )
% 0.96/1.33 , clause( 769, [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ] )
% 0.96/1.33 , clause( 770, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.33 , clause( 771, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.33 , clause( 772, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 773, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T,
% 0.96/1.33 U, W, V0, V1, V2, Z, Y ) ) ] )
% 0.96/1.33 , clause( 774, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X,
% 0.96/1.33 U, W, V0, V1, Z, V2, Y ) ) ] )
% 0.96/1.33 , clause( 775, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 0.96/1.33 , clause( 776, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.33 , clause( 777, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 778, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.33 , clause( 779, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.33 , clause( 780, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.96/1.33 , clause( 781, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ) ) ) ) ] )
% 0.96/1.33 , clause( 782, [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 0.96/1.33 , clause( 783, [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 784, [ ~( =( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 785, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 786, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 787, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ), Y )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 788, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 789, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ), Y ) ] )
% 0.96/1.33 , clause( 790, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 791, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 792, [ ~( =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.96/1.33 ), =( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 793, [ ~( =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) )
% 0.96/1.33 ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 794, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.96/1.33 'tc_bool' ), Y ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.96/1.33 , clause( 795, [ =( 'c_Set_Oinsert'( X, hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.33 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.33 'tc_bool' ) ), Y ) ), Y ), Z ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ] )
% 0.96/1.33 , clause( 796, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.33 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ), X ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 797, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.33 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.33 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), X ) ) ), T ) ) ) ] )
% 0.96/1.33 , clause( 798, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y,
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Z ),
% 0.96/1.33 hBOOL( 'c_in'( Y, Z, X ) ) ] )
% 0.96/1.33 , clause( 799, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 800, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.96/1.33 , clause( 801, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.96/1.33 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.96/1.33 , clause( 802, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y
% 0.96/1.33 ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W,
% 0.96/1.33 V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.96/1.33 , clause( 803, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y
% 0.96/1.33 ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X,
% 0.96/1.33 V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.96/1.33 , clause( 804, [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X
% 0.96/1.33 , 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ] )
% 0.96/1.33 , clause( 805, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, Y, X ) ) ) ] )
% 0.96/1.33 , clause( 806, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), 'c_Set_Oinsert'( Z, T, X ) ), 'c_Set_Oinsert'( Z, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), T ), X ) ) ] )
% 0.96/1.33 , clause( 807, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Set_Oinsert'( Y, Z, X ) ), T ), 'c_Set_Oinsert'( Y, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Z ), T ), X ) ) ] )
% 0.96/1.33 , clause( 808, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 809, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 810, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.96/1.33 , clause( 811, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.96/1.33 , clause( 812, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.96/1.33 , clause( 813, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z
% 0.96/1.33 ) ) ), hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 814, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , clause( 815, [ =( 'c_Set_Oimage'( X, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , Z ), T ), Y, U ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.33 , 'c_Set_Oimage'( X, Z, Y, U ) ), 'c_Set_Oimage'( X, T, Y, U ) ) ) ] )
% 0.96/1.33 , clause( 816, [ ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), 'c_Set_Oimage'( U, Y, X, T ) ), 'c_Set_Oimage'( U, Z, X
% 0.96/1.33 , T ) ) ) ] )
% 0.96/1.33 , clause( 817, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Set_Oimage'( Y, Z, T, X ) ), 'c_Set_Oimage'( Y, U, T, X ) ) ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), U
% 0.96/1.33 ) ) ) ] )
% 0.96/1.33 , clause( 818, [ =( 'c_Set_Oimage'( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W, U, T
% 0.96/1.33 ), 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, W, U, Z ), Z, T ) ) ] )
% 0.96/1.33 , clause( 819, [ =( 'c_Set_Oimage'( 'c_COMBI'( X ), Y, X, X ), Y ) ] )
% 0.96/1.33 , clause( 820, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X
% 0.96/1.33 ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 0.96/1.33 , clause( 821, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 822, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 823, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OCond'( Z, T
% 0.96/1.33 , U ) ) ) ] )
% 0.96/1.33 , clause( 824, [ ~( =(
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 0.96/1.33 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.33 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ] )
% 0.96/1.33 , clause( 825, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OWhile'(
% 0.96/1.33 T, U ) ) ) ] )
% 0.96/1.33 , clause( 826, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), Y ), T )
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , clause( 827, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X, hAPP(
% 0.96/1.33 hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y )
% 0.96/1.33 , Z ) ) ) ] )
% 0.96/1.33 , clause( 828, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.96/1.33 , clause( 829, [ =( hAPP( 'c_Fun_Ocomp'( 'c_COMBK'( X, Y, Z ), T, Z, Y,
% 0.96/1.33 't_a' ), 'v_x' ), X ) ] )
% 0.96/1.33 , clause( 830, [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.96/1.33 'tc_bool' ), Y ), X ), Y ) ] )
% 0.96/1.33 , clause( 831, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OSemi'( T
% 0.96/1.33 , U ) ) ) ] )
% 0.96/1.33 , clause( 832, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , hAPP( Y, Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 T, Y, U, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 0.96/1.33 , clause( 833, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T
% 0.96/1.33 , U, W ) ) ), =( Z, W ) ] )
% 0.96/1.33 , clause( 834, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T
% 0.96/1.33 , U, W ) ) ), =( Y, U ) ] )
% 0.96/1.33 , clause( 835, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OCond'( T
% 0.96/1.33 , U, W ) ) ), =( X, T ) ] )
% 0.96/1.33 , clause( 836, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), T ), Y ) ) ) ] )
% 0.96/1.33 , clause( 837, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ] )
% 0.96/1.33 , clause( 838, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ] )
% 0.96/1.33 , clause( 839, [ hBOOL( 'c_in'( X, 'c_Orderings_Otop__class_Otop'( 'tc_fun'(
% 0.96/1.33 Y, 'tc_bool' ) ), Y ) ) ] )
% 0.96/1.33 , clause( 840, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, U ), W ), hAPP( X,
% 0.96/1.33 hAPP( Y, W ) ) ) ] )
% 0.96/1.33 , clause( 841, [ =( hAPP( X, hAPP( Y, Z ) ), hAPP( 'c_Fun_Ocomp'( X, Y, T,
% 0.96/1.33 U, W ), Z ) ) ] )
% 0.96/1.33 , clause( 842, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 843, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 T, 'tc_bool' ) ), Z ), X ), Y ) ) ) ] )
% 0.96/1.33 , clause( 844, [ hBOOL( hAPP( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Z, T ) ) ) ] )
% 0.96/1.33 , clause( 845, [ hBOOL( hAPP( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.96/1.33 , clause( 846, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ),
% 0.96/1.33 ~( hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.33 , T ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 847, [ ~( =( 'c_Com_Ocom_OCond'( X, Y, Z ), 'c_Com_Ocom_OBODY'( T
% 0.96/1.33 ) ) ) ] )
% 0.96/1.33 , clause( 848, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OCond'( Y, Z, T
% 0.96/1.33 ) ) ) ] )
% 0.96/1.33 , clause( 849, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 0.96/1.33 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( U, Y, T ) ) ) ] )
% 0.96/1.33 , clause( 850, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), T ), T ) ] )
% 0.96/1.33 , clause( 851, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), T, Z,
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ] )
% 0.96/1.33 , clause( 852, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OWhile'( X, Y ) ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 853, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 854, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.33 , clause( 855, [ hBOOL( hAPP( 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ) ) ] )
% 0.96/1.33 , clause( 856, [ ~( 'class_Orderings_Otop'( X ) ), =( hAPP(
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 857, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.96/1.33 , clause( 858, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.96/1.33 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.96/1.33 , clause( 859, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 860, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 861, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 862, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Y ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 863, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ) )
% 0.96/1.33 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 864, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =( hAPP(
% 0.96/1.33 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), Z ), Z ),
% 0.96/1.33 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 865, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 866, [ =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.96/1.33 , clause( 867, [ ~( =( hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , Y ), Z ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 868, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.96/1.33 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'(
% 0.96/1.33 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ] )
% 0.96/1.33 , clause( 869, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.33 , hAPP( T, X ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ) ) ) ] )
% 0.96/1.33 , clause( 870, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 0.96/1.33 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), Z ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( Z, Y, X ) ) ) ] )
% 0.96/1.33 , clause( 871, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 872, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 873, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' )
% 0.96/1.33 ) ) ] )
% 0.96/1.33 , clause( 874, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'(
% 0.96/1.33 X, 'tc_bool' ) ), Y ), Z ) ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X, 'tc_bool' ) )
% 0.96/1.33 , T ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 875, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), 'c_Orderings_Otop__class_Otop'( 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 876, [ ~( 'class_Orderings_Otop'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), 'c_Orderings_Otop__class_Otop'( X ) ) ) ] )
% 0.96/1.33 , clause( 877, [ =( 'c_Fun_Ocomp'( X, 'c_Fun_Ocomp'( Y, Z, T, U, W ), U, V0
% 0.96/1.33 , W ), 'c_Fun_Ocomp'( 'c_Fun_Ocomp'( X, Y, U, V0, T ), Z, T, V0, W ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 878, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 879, [ =( hAPP( 'c_Fun_Ocomp'( X, Y, Z, T, 't_a' ), 'v_x' ), hAPP(
% 0.96/1.33 X, hAPP( Y, 'v_x' ) ) ) ] )
% 0.96/1.33 , clause( 880, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( Y, T, X ) ) ) ] )
% 0.96/1.33 , clause( 881, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.33 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.33 'c_Orderings_Otop__class_Otop'( X ) ) ] )
% 0.96/1.33 , clause( 882, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OSemi'( Z,
% 0.96/1.33 T ) ) ) ] )
% 0.96/1.33 , clause( 883, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, T, Y ) ) ) ] )
% 0.96/1.33 , clause( 884, [ hBOOL( 'c_in'( X, hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , Z ), T ), Y ) ), ~( hBOOL( 'c_in'( X, Z, Y ) ) ) ] )
% 0.96/1.33 , clause( 885, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.33 X, 'c_COMBK'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.96/1.33 , 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.96/1.33 , clause( 886, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ) ), Z ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 887, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), Z ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 888, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 889, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.33 , clause( 890, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), T ), Y ) ), Z ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 891, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.96/1.33 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), hAPP( hAPP(
% 0.96/1.33 'c_Lattices_Oupper__semilattice__class_Osup'( X ), Y ), T ) ), Z ) ) ) ]
% 0.96/1.33 )
% 0.96/1.33 , clause( 892, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 893, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ), Z ) ) ) ] )
% 0.96/1.33 , clause( 894, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 895, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.33 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.96/1.33 ] )
% 0.96/1.33 , clause( 896, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.96/1.33 , Y ) ) ) ] )
% 0.96/1.33 , clause( 897, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.96/1.33 , Y ) ) ) ] )
% 0.96/1.33 , clause( 898, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Y ) ) ] )
% 0.96/1.33 , clause( 899, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL(
% 0.96/1.33 'c_in'( X, T, Z ) ) ) ] )
% 0.96/1.33 , clause( 900, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.96/1.33 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.96/1.33 , Y ) ) ) ] )
% 0.96/1.33 , clause( 901, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Y ) ) ] )
% 0.96/1.33 , clause( 902, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.33 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.96/1.33 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.33 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.96/1.33 , clause( 903, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 0.96/1.33 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.96/1.33 ) ] )
% 0.96/1.33 , clause( 904, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.96/1.33 , clause( 905, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.96/1.33 , clause( 906, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.33 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP(
% 0.96/1.33 T, Y ) ) ) ] )
% 0.96/1.33 , clause( 907, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.33 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.96/1.33 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.96/1.33 , clause( 908, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.96/1.33 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.96/1.34 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.96/1.34 , clause( 909, [ ~( =( 'c_Com_Ocom_OWhile'( X, Y ), 'c_Com_Ocom_OBODY'( Z )
% 0.96/1.34 ) ) ] )
% 0.96/1.34 , clause( 910, [ ~( =( 'c_Com_Ocom_OBODY'( X ), 'c_Com_Ocom_OSKIP' ) ) ] )
% 0.96/1.34 , clause( 911, [ ~( =( 'c_Fun_Ocomp'( X, Y, Z, T, U ), 'c_Fun_Ocomp'( W, V0
% 0.96/1.34 , V1, T, U ) ) ), =( hAPP( X, hAPP( Y, V2 ) ), hAPP( W, hAPP( V0, V2 ) )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 912, [ ~( =( hAPP( X, hAPP( Y, Z ) ), hAPP( T, hAPP( U, W ) ) ) )
% 0.96/1.34 , =( hAPP( 'c_Fun_Ocomp'( X, Y, V0, V1, V2 ), Z ), hAPP( 'c_Fun_Ocomp'( T
% 0.96/1.34 , U, V3, V1, V4 ), W ) ) ] )
% 0.96/1.34 , clause( 913, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.34 hAPP( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), Y ), Z ), T, X, 'tc_fun'( U, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( U, 'tc_bool' ) )
% 0.96/1.34 , 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, X,
% 0.96/1.34 'tc_fun'( U, 'tc_bool' ) ) ),
% 0.96/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, T, X, 'tc_fun'(
% 0.96/1.34 U, 'tc_bool' ) ) ) ) ] )
% 0.96/1.34 , clause( 914, [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ] )
% 0.96/1.34 , clause( 915, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), Y ), hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X
% 0.96/1.34 , 'tc_bool' ) ), Z ), T ) ), T ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.34 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T ), Y ) ) ) ] )
% 0.96/1.34 , clause( 916, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.34 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.34 ), Z ), Y ) ) ) ] )
% 0.96/1.34 , clause( 917, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.96/1.34 ~( =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( X ), Y ), Z ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( X ), T ), U ) ) ), hBOOL( hAPP( hAPP(
% 0.96/1.34 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.96/1.34 ), U ), T ) ) ) ] )
% 0.96/1.34 , clause( 918, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.34 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 0.96/1.34 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 0.96/1.34 , Z, X ) ) ) ] )
% 0.96/1.34 , clause( 919, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 920, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.96/1.34 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.96/1.34 Z ), Y ) ) ] )
% 0.96/1.34 , clause( 921, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), hBOOL( 'c_in'( hAPP( T, X
% 0.96/1.34 ), 'c_Set_Oimage'( T, Y, Z, U ), U ) ) ] )
% 0.96/1.34 , clause( 922, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U )
% 0.96/1.34 , U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 0.96/1.34 , clause( 923, [ hBOOL( 'c_in'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U )
% 0.96/1.34 , U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 0.96/1.34 , clause( 924, [ ~( hBOOL( hAPP( X,
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Z ), T ), U ), 't_b',
% 0.96/1.34 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 925, [ ~( hBOOL( hAPP( X,
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple__case'( Y, hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), Z ), T ), U ), 't_b',
% 0.96/1.34 't_a' ) ) ) ), hBOOL( hAPP( X, hAPP( hAPP( hAPP( Y, Z ), T ), U ) ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 926, [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__rec'( X, hAPP(
% 0.96/1.34 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), U ), Y,
% 0.96/1.34 W ), hAPP( hAPP( hAPP( X, Z ), T ), U ) ) ] )
% 0.96/1.34 , clause( 927, [ =( 'c_Hoare__Mirabelle_Otriple_Otriple__case'( X, hAPP(
% 0.96/1.34 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), U ), Y,
% 0.96/1.34 W ), hAPP( hAPP( hAPP( X, Z ), T ), U ) ) ] )
% 0.96/1.34 , clause( 928, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.96/1.34 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.96/1.34 , 'tc_bool' ) ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X
% 0.96/1.34 , T, Z ) ) ] )
% 0.96/1.34 , clause( 929, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.96/1.34 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.96/1.34 , 'tc_bool' ) ), T ), X ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( T
% 0.96/1.34 , Y, Z ) ) ] )
% 0.96/1.34 , clause( 930, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.96/1.34 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.96/1.34 , 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.96/1.34 , clause( 931, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.96/1.34 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.96/1.34 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.96/1.34 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), Z ), 'c_COMBK'( hAPP(
% 0.96/1.34 T, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.96/1.34 'tc_Com_Ostate', 'tc_bool' ), 't_a' ) ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.96/1.34 , clause( 932, [ =( hAPP( 'c_COMBI'( 't_a' ), 'v_P' ), 'v_P' ) ] )
% 0.96/1.34 , clause( 933, [ =( hAPP( hAPP( 'c_COMBC'( 'v_P', 't_a', 't_b', 't_c' ),
% 0.96/1.34 'v_Q' ), 'v_R' ), hAPP( hAPP( 'v_P', 'v_R' ), 'v_Q' ) ) ] )
% 0.96/1.34 , clause( 934, [ ~( =( hAPP( X, hAPP( Y,
% 0.96/1.34 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z, T ) ) ),
% 0.96/1.34 'c_List_Osko__List__Xfoldl__apply__inv__1__1'( X, Y, Z, T ) ) ), =(
% 0.96/1.34 'c_List_Ofoldl'( U, hAPP( X, W ), V0, T, V1 ), hAPP( X, 'c_List_Ofoldl'(
% 0.96/1.34 hAPP( 'c_COMBB'( 'c_COMBB'( Y, T, Z, V1 ), 'tc_fun'( V1, T ), 'tc_fun'(
% 0.96/1.34 V1, Z ), Z ), hAPP( 'c_COMBB'( U, T, 'tc_fun'( V1, T ), Z ), X ) ), W, V0
% 0.96/1.34 , Z, V1 ) ) ) ] )
% 0.96/1.34 , clause( 935, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.96/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.34 'tc_bool' ) ), Y ) ), ~( hBOOL( 'c_in'( U, T, Z ) ) ) ] )
% 0.96/1.34 , clause( 936, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OWhile'( T, U ) ), 'c_Hoare__Mirabelle_Opeek__and'( Z,
% 0.96/1.34 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool', 'tc_bool', 'tc_Com_Ostate' ), Y ) )
% 0.96/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.34 'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), Z ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.96/1.34 , clause( 937, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OBODY'( T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Com_Ocom_OBODY'( T ) )
% 0.96/1.34 , U ), X, 'tc_Hoare__Mirabelle_Otriple'( Y ) ), 'c_Set_Oinsert'( hAPP(
% 0.96/1.34 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Option_Othe'( 'c_Com_Obody'( T ), 'tc_Com_Ocom' ) ), U ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.96/1.34 , clause( 938, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OBODY'( T ) ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), 'c_Option_Othe'(
% 0.96/1.34 'c_Com_Obody'( T ), 'tc_Com_Ocom' ) ), U ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.96/1.34 , clause( 939, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OCond'( T, U, W ) ), V0 ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.34 'c_Hoare__Mirabelle_Opeek__and'( Z, 'c_Fun_Ocomp'( 'c_Not', T, 'tc_bool'
% 0.96/1.34 , 'tc_bool', 'tc_Com_Ostate' ), Y ) ), W ), V0 ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ),
% 0.96/1.34 'c_Hoare__Mirabelle_Opeek__and'( Z, T, Y ) ), U ), V0 ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.96/1.34 , clause( 940, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.34 , clause( 941, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.34 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.96/1.34 , clause( 942, [ =( 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, Y, Z, T ), U ),
% 0.96/1.34 'c_Orderings_Otop__class_Otop'( 'tc_fun'( T, 'tc_bool' ) ), T, Z ),
% 0.96/1.34 'c_Set_Oimage'( X, 'c_Set_Oimage'( U, 'c_Orderings_Otop__class_Otop'(
% 0.96/1.34 'tc_fun'( T, 'tc_bool' ) ), T, Y ), Y, Z ) ) ] )
% 0.96/1.34 , clause( 943, [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ),
% 0.96/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), X ) ) ] )
% 0.96/1.34 , clause( 944, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 945, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 946, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.96/1.34 ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3,
% 0.96/1.34 Z ) ) ] )
% 0.96/1.34 , clause( 947, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.96/1.34 ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3,
% 0.96/1.34 Z ) ) ] )
% 0.96/1.34 , clause( 948, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.34 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 949, [ hBOOL( hAPP( 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.96/1.34 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 950, [ =( 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.96/1.34 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 0.96/1.34 , clause( 951, [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'(
% 0.96/1.34 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 Y ) ) ] )
% 0.96/1.34 , clause( 952, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.34 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 953, [ =( 'c_The'( 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 954, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.96/1.34 , W, V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.96/1.34 , clause( 955, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.96/1.34 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.96/1.34 , X, V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.96/1.34 , clause( 956, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.96/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), X ) ) ), T ) ) ] )
% 0.96/1.34 , clause( 957, [ =( hAPP( hAPP( 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ),
% 0.96/1.34 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), X ) ) ) ] )
% 0.96/1.34 , clause( 958, [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.96/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.96/1.34 'tc_bool' ) ), T ), T ), Y ) ) ) ] )
% 0.96/1.34 , clause( 959, [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 960, [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'(
% 0.96/1.34 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.34 'tc_bool' ) ), Z ), Z ) ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 961, [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 962, [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 963, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.96/1.34 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 964, [ =( 'c_Set_Oinsert'( X, hAPP( hAPP(
% 0.96/1.34 'c_HOL_Ominus__class_Ominus'( 'tc_fun'( Y, 'tc_bool' ) ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.34 'tc_bool' ) ), Y ) ), Y ), 'c_Set_Oinsert'( X, Z, Y ) ) ] )
% 0.96/1.34 , clause( 965, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.96/1.34 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.96/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.96/1.34 , clause( 966, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 0.96/1.34 'c_in'( X, Y, Z ) ) ] )
% 0.96/1.34 , clause( 967, [ =( 'c_Set_Oinsert'( X, Y, Z ), hAPP( hAPP(
% 0.96/1.34 'c_Lattices_Oupper__semilattice__class_Osup'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.96/1.34 , 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.34 'tc_bool' ) ), Z ) ), Y ) ) ] )
% 0.96/1.34 , clause( 968, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.96/1.34 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y
% 0.96/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y )
% 0.96/1.34 ] )
% 0.96/1.34 , clause( 969, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z, Y ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.96/1.34 , clause( 970, [ =( 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T
% 0.96/1.34 , U ), U ), 'c_Set_Oimage'( X, Z, T, U ) ), ~( hBOOL( 'c_in'( Y, Z, T ) )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 971, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.96/1.34 W ), 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z,
% 0.96/1.34 V0, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.96/1.34 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP(
% 0.96/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 972, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.96/1.34 W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, V0, T, U ) ) ), ~( hBOOL(
% 0.96/1.34 hAPP( hAPP( V0, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U
% 0.96/1.34 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z
% 0.96/1.34 ), U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.96/1.34 , clause( 973, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.96/1.34 W ), 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z
% 0.96/1.34 , V0, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.96/1.34 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP(
% 0.96/1.34 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), V0 ), Z ), U )
% 0.96/1.34 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 974, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.96/1.34 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.96/1.34 ) ) ] )
% 0.96/1.34 , clause( 975, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 T, 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z )
% 0.96/1.34 ), 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z
% 0.96/1.34 , U, W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.34 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.96/1.34 't_a' ), U ), Z ), W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.96/1.34 , clause( 976, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.96/1.34 )
% 0.96/1.34 , clause( 977, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( U,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 978, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 979, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 980, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 T, 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) )
% 0.96/1.34 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W
% 0.96/1.34 ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z )
% 0.96/1.34 , W ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.96/1.34 , clause( 981, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), T ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 982, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T, W ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), U ), Z ), W ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 983, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), ~( hBOOL( hAPP( hAPP(
% 0.96/1.34 T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z ), U ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 984, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_a' ), Y ), Z )
% 0.96/1.34 , T ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ), hBOOL( hAPP( hAPP( Y,
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ),
% 0.96/1.34 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ] )
% 0.96/1.34 , clause( 985, [ =( hAPP( 'c_COMBK'( 'v_P', 't_a', 't_b' ), 'v_Q' ), 'v_P'
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 986, [ =( 'c_Set_Oimage'( 'c_COMBK'( X, Y, Z ), T, Z, Y ),
% 0.96/1.34 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.96/1.34 'tc_bool' ) ), Y ) ), =( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.34 'tc_bool' ) ) ) ] )
% 0.96/1.34 , clause( 987, [ =( hAPP( hAPP( 'c_COMBB'( 'v_P', 't_a', 't_b', 't_c' ),
% 0.96/1.34 'v_Q' ), 'v_R' ), hAPP( 'v_P', hAPP( 'v_Q', 'v_R' ) ) ) ] )
% 0.96/1.34 , clause( 988, [ =( hAPP( 'c_COMBS'( 'v_P', 'v_Q', 't_a', 't_b', 't_c' ),
% 0.96/1.34 'v_R' ), hAPP( hAPP( 'v_P', 'v_R' ), hAPP( 'v_Q', 'v_R' ) ) ) ] )
% 0.96/1.34 , clause( 989, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OSKIP' ), Z ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ] )
% 0.96/1.34 , clause( 990, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ),
% 0.96/1.34 'c_Com_Ocom_OSemi'( T, U ) ), W ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), V0 ), U ), W ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( Y ), Z ), T ), V0 ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Y ) ), Y ) ) ] )
% 0.96/1.34 , clause( 991, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y
% 0.96/1.34 , Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 0.96/1.34 , clause( 992, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( T, Y,
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 0.96/1.34 , clause( 993, [ ~( =( 'c_Set_Oimage'( X, Y, Z, T ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ), =( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.34 , clause( 994, [ =( 'c_Set_Oimage'( X, 'c_Set_Oimage'( Y, Z, T, U ), U, W )
% 0.96/1.34 , 'c_Set_Oimage'( hAPP( 'c_COMBB'( X, U, W, T ), Y ), Z, T, W ) ) ] )
% 0.96/1.34 , clause( 995, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.96/1.34 , clause( 996, [ =( 'c_Set_Oimage'( X, 'c_Set_Oinsert'( Y, Z, T ), T, U ),
% 0.96/1.34 'c_Set_Oinsert'( hAPP( X, Y ), 'c_Set_Oimage'( X, Z, T, U ), U ) ) ] )
% 0.96/1.34 , clause( 997, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 0.96/1.34 , clause( 998, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.96/1.34 , clause( 999, [ ~( =( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.96/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( T
% 0.96/1.34 , V0 ) ] )
% 0.96/1.34 , clause( 1000, [ ~( =( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.96/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( Z
% 0.96/1.34 , W ) ] )
% 0.96/1.34 , clause( 1001, [ ~( =( hAPP( hAPP( hAPP(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), Y ), Z ), T ), hAPP( hAPP(
% 0.96/1.34 hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( X ), U ), W ), V0 ) ) ), =( Y
% 0.96/1.34 , U ) ] )
% 0.96/1.34 , clause( 1002, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.96/1.34 , clause( 1003, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.96/1.34 , clause( 1004, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.96/1.34 , clause( 1005, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.96/1.34 , clause( 1006, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.96/1.34 , clause( 1007, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 Y ), 'tc_bool' ) ), Y ) ] )
% 0.96/1.34 , clause( 1008, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.96/1.34 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.96/1.34 , clause( 1009, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.96/1.34 , clause( 1010, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.96/1.34 , clause( 1011, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.96/1.34 'tc_bool' ) ), 'c_Set_Oimage'( Y, Z, T, X ) ) ), =( Z,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.96/1.34 , clause( 1012, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.96/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.96/1.34 , clause( 1013, [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X
% 0.96/1.34 , hAPP( U, W ) ) ) ] )
% 0.96/1.34 , clause( 1014, [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X,
% 0.96/1.34 W ), hAPP( Y, W ) ) ) ] )
% 0.96/1.34 , clause( 1015, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.96/1.34 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.96/1.34 , clause( 1016, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.34 , clause( 1017, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.34 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.96/1.34 , Z ) ] )
% 0.96/1.34 , clause( 1018, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.96/1.34 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ), ~(
% 0.96/1.34 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, T,
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ) ] )
% 0.96/1.34 , clause( 1019, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.96/1.34 hAPP( Y, T ) ) ) ] )
% 0.96/1.34 , clause( 1020, [ =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.96/1.34 ) ), 'c_Set_Oimage'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.96/1.34 'tc_bool' ) ), Z, X ) ) ] )
% 0.96/1.34 , clause( 1021, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.34 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.96/1.34 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_P_H' ), 'v_c0',
% 0.96/1.34 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.34 ), 'v_Q_H', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool'
% 0.96/1.34 ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a',
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ] )
% 0.96/1.34 , clause( 1022, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.34 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.34 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.96/1.34 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_P' ), 'v_c0',
% 0.96/1.34 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.34 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.34 ), 'v_Q', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.96/1.34 ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a',
% 0.96/1.34 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ) ] )
% 0.96/1.34 , clause( 1023, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.34 'c_Set_Oinsert'( hAPP( hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'(
% 0.96/1.34 't_b' ), hAPP( 'v_P', X ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q', X ) ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 0.96/1.34 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G', 'c_Set_Oinsert'( hAPP(
% 0.96/1.34 hAPP( hAPP( 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), hAPP( 'v_P_H'
% 0.96/1.34 , X ) ), hAPP( 'v_c0', X ) ), hAPP( 'v_Q_H', X ) ),
% 0.96/1.34 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.34 't_b' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' )
% 0.96/1.34 ) ] )
% 0.96/1.34 , clause( 1024, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X
% 0.96/1.34 , Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 0.96/1.34 , clause( 1025, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) )
% 0.96/1.34 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.34 , clause( 1026, [ 'class_Lattices_Olower__semilattice'( 'tc_fun'( X, Y ) )
% 0.96/1.35 , ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.35 , clause( 1027, [ 'class_Lattices_Odistrib__lattice'( 'tc_fun'( X, Y ) ),
% 0.96/1.35 ~( 'class_Lattices_Odistrib__lattice'( Y ) ) ] )
% 0.96/1.35 , clause( 1028, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.96/1.35 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.96/1.35 , clause( 1029, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ),
% 0.96/1.35 ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.96/1.35 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.96/1.35 , clause( 1030, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.96/1.35 , clause( 1031, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_Lattices_Olattice'( Y ) ) ] )
% 0.96/1.35 , clause( 1032, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_Orderings_Oorder'( Y ) ) ] )
% 0.96/1.35 , clause( 1033, [ 'class_Orderings_Otop'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_Orderings_Otop'( Y ) ) ] )
% 0.96/1.35 , clause( 1034, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_Orderings_Obot'( Y ) ) ] )
% 0.96/1.35 , clause( 1035, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 0.96/1.35 'class_HOL_Ominus'( Y ) ) ] )
% 0.96/1.35 , clause( 1036, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'(
% 0.96/1.35 Y ) ) ] )
% 0.96/1.35 , clause( 1037, [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1038, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1039, [ 'class_Lattices_Olower__semilattice'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1040, [ 'class_Lattices_Odistrib__lattice'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1041, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1042, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1043, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1044, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1045, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1046, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1047, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 0.96/1.35 , clause( 1048, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' )
% 0.96/1.35 ] )
% 0.96/1.35 , clause( 1049, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1050, [ 'class_Lattices_Olower__semilattice'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1051, [ 'class_Lattices_Odistrib__lattice'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1052, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1053, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1054, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1055, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1056, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1057, [ 'class_Orderings_Otop'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1058, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1059, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1060, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 0.96/1.35 , clause( 1061, [ =( hAPP( 'c_COMBS'( X, Y, Z, T, U ), W ), hAPP( hAPP( X,
% 0.96/1.35 W ), hAPP( Y, W ) ) ) ] )
% 0.96/1.35 , clause( 1062, [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP(
% 0.96/1.35 hAPP( X, W ), U ) ) ] )
% 0.96/1.35 , clause( 1063, [ =( hAPP( hAPP( 'c_COMBB'( X, Y, Z, T ), U ), W ), hAPP( X
% 0.96/1.35 , hAPP( U, W ) ) ) ] )
% 0.96/1.35 , clause( 1064, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.96/1.35 , clause( 1065, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y
% 0.96/1.35 ) ) ) ] )
% 0.96/1.35 ] ).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 subsumption(
% 0.96/1.35 clause( 435, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.35 Y ), 'tc_bool' ) ), Y ) ] )
% 0.96/1.35 , clause( 1007, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.35 Y ), 'tc_bool' ) ), Y ) ] )
% 0.96/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.96/1.35 )] ) ).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 subsumption(
% 0.96/1.35 clause( 442, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.35 , clause( 1016, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.35 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.96/1.35 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 paramod(
% 0.96/1.35 clause( 2945, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.35 't_b' ), 'tc_bool' ) ), 't_b' ) ) ] )
% 0.96/1.35 , clause( 442, [ =( 'c_Set_Oimage'( X, 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Y, 'tc_bool' ) ), Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.96/1.35 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.96/1.35 , 0, clause( 1022, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.35 'c_Set_Oimage'( 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.35 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.35 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.96/1.35 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.96/1.35 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_P' ), 'v_c0',
% 0.96/1.35 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.35 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.35 ), 'v_Q', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.96/1.35 ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ),
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a',
% 0.96/1.35 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ), 't_b' ) ) ] )
% 0.96/1.35 , 0, 3, substitution( 0, [ :=( X, 'c_COMBS'( 'c_COMBS'( hAPP( 'c_COMBB'(
% 0.96/1.35 'c_Hoare__Mirabelle_Otriple_Otriple'( 't_b' ), 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.35 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_fun'( 'tc_Com_Ocom', 'tc_fun'(
% 0.96/1.35 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ) ),
% 0.96/1.35 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), 't_a' ), 'v_P' ), 'v_c0',
% 0.96/1.35 't_a', 'tc_Com_Ocom', 'tc_fun'( 'tc_fun'( 't_b', 'tc_fun'(
% 0.96/1.35 'tc_Com_Ostate', 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )
% 0.96/1.35 ), 'v_Q', 't_a', 'tc_fun'( 't_b', 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' )
% 0.96/1.35 ), 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) ) ), :=( Y, 't_a' ), :=( Z,
% 0.96/1.35 'tc_Hoare__Mirabelle_Otriple'( 't_b' ) )] ), substitution( 1, [] )).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 resolution(
% 0.96/1.35 clause( 2946, [] )
% 0.96/1.35 , clause( 2945, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_G',
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.35 't_b' ), 'tc_bool' ) ), 't_b' ) ) ] )
% 0.96/1.35 , 0, clause( 435, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.96/1.35 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.96/1.35 Y ), 'tc_bool' ) ), Y ) ] )
% 0.96/1.35 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_G' ), :=( Y, 't_b'
% 0.96/1.35 )] )).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 subsumption(
% 0.96/1.35 clause( 445, [] )
% 0.96/1.35 , clause( 2946, [] )
% 0.96/1.35 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 end.
% 0.96/1.35
% 0.96/1.35 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.96/1.35
% 0.96/1.35 Memory use:
% 0.96/1.35
% 0.96/1.35 space for terms: 39546
% 0.96/1.35 space for clauses: 46872
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 clauses generated: 576
% 0.96/1.35 clauses kept: 446
% 0.96/1.35 clauses selected: 0
% 0.96/1.35 clauses deleted: 0
% 0.96/1.35 clauses inuse deleted: 0
% 0.96/1.35
% 0.96/1.35 subsentry: 10393
% 0.96/1.35 literals s-matched: 6413
% 0.96/1.35 literals matched: 6245
% 0.96/1.35 full subsumption: 2463
% 0.96/1.35
% 0.96/1.35 checksum: 93894512
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Bliksem ended
%------------------------------------------------------------------------------