TSTP Solution File: SWV839-1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 16:28:46 EDT 2022
% Result : Unsatisfiable 0.87s 1.26s
% Output : Refutation 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV839-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Tue Jun 14 21:33:54 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.87/1.25 *** allocated 10000 integers for termspace/termends
% 0.87/1.25 *** allocated 10000 integers for clauses
% 0.87/1.25 *** allocated 10000 integers for justifications
% 0.87/1.25 *** allocated 15000 integers for termspace/termends
% 0.87/1.25 Bliksem 1.12
% 0.87/1.25
% 0.87/1.25
% 0.87/1.25 Automatic Strategy Selection
% 0.87/1.25
% 0.87/1.25 Clauses:
% 0.87/1.25 [
% 0.87/1.25 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 'tc_fun'( Y, X ) ), Z ), T ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T,
% 0.87/1.25 'tc_fun'( Y, X ) ) ) ],
% 0.87/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.87/1.25 T, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X ) ), Z ), Y )
% 0.87/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X ) ), Y ), Z ) )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z,
% 0.87/1.25 'tc_fun'( Y, X ) ) ) ],
% 0.87/1.25 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.25 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.87/1.25 Y ) ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.87/1.25 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ),
% 0.87/1.25 Y ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z,
% 0.87/1.25 Y ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), T ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.87/1.25 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.25 Z ) ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.87/1.25 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.25 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.25 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.87/1.25 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.25 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.25 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.87/1.25 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y
% 0.87/1.25 , Z, T ) ) ],
% 0.87/1.25 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.25 ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( T, Z, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.25 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.25 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y
% 0.87/1.25 ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.87/1.25 , 'tc_bool' ) ), X ) ) ],
% 0.87/1.25 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.87/1.25 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.87/1.25 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), X ) ],
% 0.87/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.25 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y, X
% 0.87/1.25 ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP(
% 0.87/1.25 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), =( Z, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), =( Y, Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.25 , X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.25 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.25 , X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.25 , X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.25 , X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.87/1.25 Y, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), U ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'( Z, T, T,
% 0.87/1.25 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T ), ~(
% 0.87/1.25 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1, T )
% 0.87/1.25 ) ],
% 0.87/1.25 [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ],
% 0.87/1.25 [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP( hAPP( X, W ),
% 0.87/1.25 U ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.87/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.87/1.25 , X, U, Y, W ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.87/1.25 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.87/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.87/1.25 [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X, 'tc_bool' ), Y ),
% 0.87/1.25 X ), Y ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.25 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.87/1.25 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.87/1.25 'tc_bool' ) ), Y ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.25 Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.25 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.25 , X ), X ) ) ],
% 0.87/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.87/1.25 ,
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.87/1.25 , X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.87/1.25 ~( 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 X ), T ), Y ) ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.25 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.87/1.25 ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.25 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.25 X ), T ), Y ) ) ) ],
% 0.87/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.25 ), =( Z, Y ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.25 ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.25 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.87/1.25 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.87/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.25 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.87/1.25 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.25 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.87/1.25 X ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool'
% 0.87/1.25 ) ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.25 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.25 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.87/1.25 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.87/1.25 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.87/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.87/1.25 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.87/1.26 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.87/1.26 , ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) ),
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.26 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.26 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.26 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.87/1.26 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z, X
% 0.87/1.26 , T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.87/1.26 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.87/1.26 Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool' ) ), Y ), =(
% 0.87/1.26 X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, 'c_COMBK'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), Z ) ) ],
% 0.87/1.26 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), T ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.87/1.26 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__axioms'(
% 0.87/1.26 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_lessequals'( X ), X ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'v_A', 'tc_fun'( 't_a', 't_b' ) ), 'v_x'
% 0.87/1.26 ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'v_A', 'v_x' ), 't_b' ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.87/1.26 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.87/1.26 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.87/1.26 , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.87/1.26 X, Y, Z, U, T, T ) ) ],
% 0.87/1.26 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.87/1.26 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.87/1.26 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.87/1.26 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.87/1.26 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.26 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.87/1.26 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( 'c_in'( Z, Y, T )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.26 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.26 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.26 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.87/1.26 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.87/1.26 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.87/1.26 'c_in'( T, Z, W ) ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.87/1.26 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.87/1.26 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.87/1.26 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.87/1.26 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.87/1.26 , 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.26 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.26 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ), Z )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.87/1.26 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.26 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.26 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.87/1.26 , V2, Z, Y ) ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.26 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.87/1.26 , Z, V2, Y ) ) ],
% 0.87/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ],
% 0.87/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.26 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.26 , 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ],
% 0.87/1.26 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ), Y ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.26 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.26 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.26 'c_in'( X, Y, Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), X ), X ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 Y, Z, X ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.26 , Z ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.26 X, Z, T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.87/1.26 X, Z, T ) ) ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.87/1.26 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.87/1.26 V2, V3, V4, T ) ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.87/1.26 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.87/1.26 , U, V3, V4, T ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.87/1.26 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.87/1.26 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.87/1.26 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.87/1.26 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.87/1.26 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), X ), Y ) ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ), Z ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ), Z ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), Y ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Y ), X ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.87/1.26 , T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.26 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.26 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.26 , Z, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.26 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Y ) ) )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.26 , Z, X ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), T ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.26 , Y, X ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.26 , Z, X ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.26 X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.26 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.26 , T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, X ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , U, X ) ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), T ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.26 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.26 ), Y ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.26 ), Y ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.26 ), Y ) ],
% 0.87/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( X,
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ) ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.26 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.26 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.26 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.87/1.26 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.87/1.26 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.87/1.26 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.87/1.26 , V3, V4, U ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.87/1.26 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.87/1.26 , V3, V4, U ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.87/1.26 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.87/1.26 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X,
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.26 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X,
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.26 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.26 , T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.26 , T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X, Z ), Z ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL( hAPP( Y, X ) )
% 0.87/1.26 ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.26 , T, X ) ) ), =( Z, T ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.26 , T, X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.87/1.26 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.26 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.26 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.87/1.26 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.87/1.26 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 0.87/1.26 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.87/1.26 , Z ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U,
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.87/1.26 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.26 [ =( 'c_Collect'( X, Y ), X ) ],
% 0.87/1.26 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( Y
% 0.87/1.26 , T ) ],
% 0.87/1.26 [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T ) ) ), =( X
% 0.87/1.26 , Z ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y, Z, X ) )
% 0.87/1.26 , 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ), X ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( X, Y
% 0.87/1.26 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), hAPP( Y
% 0.87/1.26 , Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), Y ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.87/1.26 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.87/1.26 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.26 , X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.26 , X ) ) ), =( Y, Z ) ],
% 0.87/1.26 [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ), =( X,
% 0.87/1.26 Z ) ],
% 0.87/1.26 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.87/1.26 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.26 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.87/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), hAPP( 'c_Complete__Lattice_OInf__class_OInf'(
% 0.87/1.26 X ), Y ) ), Z ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ) ],
% 0.87/1.26 [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.26 Y, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ouminus__class_Ouminus'( hAPP(
% 0.87/1.26 Y, 'v_x' ), X ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ],
% 0.87/1.26 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.87/1.26 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.26 , Z, X ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.87/1.26 [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ), 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.87/1.26 ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.26 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.87/1.26 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.87/1.26 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.26 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.87/1.26 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.26 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.26 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.87/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.26 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.87/1.26 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.87/1.26 ],
% 0.87/1.26 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.87/1.26 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.87/1.26 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.26 ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.26 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.26 Y, Z ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.26 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.87/1.26 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =( hAPP(
% 0.87/1.26 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.26 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( 'c_in'( Y, T, X ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) ), Y ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'( Z, Y, X ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.26 ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y, X ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.87/1.26 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.87/1.26 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y,
% 0.87/1.26 V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.87/1.26 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.87/1.26 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.26 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.26 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.87/1.26 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.87/1.26 , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.87/1.26 , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.87/1.26 , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.87/1.26 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.87/1.26 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.87/1.26 , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ),
% 0.87/1.26 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.87/1.26 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.26 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 0.87/1.26 ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.26 Y, 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ) ), T ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.87/1.26 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ),
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 Z ), Y ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~( hBOOL(
% 0.87/1.26 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y, Z,
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ],
% 0.87/1.26 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.87/1.26 , 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.87/1.26 ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.26 Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP( T, Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Y ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Y ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( hBOOL( hAPP(
% 0.87/1.26 hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), T
% 0.87/1.26 ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Y
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.26 ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.26 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.26 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ],
% 0.87/1.26 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.87/1.26 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ) ) ],
% 0.87/1.26 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ],
% 0.87/1.26 [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Z ), Y ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 X ), Y ), Z ) ) ) ],
% 0.87/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ],
% 0.87/1.26 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), Y ) ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Y ), 'tc_bool' ) ), Y ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, Y, X ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.87/1.26 X, T ), Y ) ) ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.87/1.26 [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.26 ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.26 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), Z
% 0.87/1.26 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.26 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.87/1.26 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.26 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.26 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.87/1.26 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.87/1.26 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.87/1.26 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.87/1.26 ) ) ],
% 0.87/1.26 [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z ), 'tc_bool' )
% 0.87/1.26 ), Y ), X ) ) ) ],
% 0.87/1.26 [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.26 hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( U, X ) ), Y ), T ) ) ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), 'v_Ga' )
% 0.87/1.26 ) ],
% 0.87/1.26 [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', 'c_Set_Oinsert'(
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'c_Com_Ocom_OSKIP', 'v_P',
% 0.87/1.26 't_a' ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ],
% 0.87/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Oboolean__algebra'( Y ) ) ],
% 0.87/1.26 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.26 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.87/1.26 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Orderings_Opreorder'( Y ) ) ],
% 0.87/1.26 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Lattices_Olattice'( Y ) ) ],
% 0.87/1.26 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.26 'class_Orderings_Oorder'( Y ) ) ],
% 0.87/1.26 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.87/1.26 Y ) ) ],
% 0.87/1.26 [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ouminus'( Y ) )
% 0.87/1.26 ],
% 0.87/1.26 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.87/1.26 ,
% 0.87/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.87/1.26 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_HOL_Ouminus'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.87/1.26 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.87/1.26 [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ],
% 0.87/1.26 [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y ) ) ) ]
% 0.87/1.26 ] .
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 percentage equality = 0.220464, percentage horn = 0.845000
% 0.87/1.26 This is a problem with some equality
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Options Used:
% 0.87/1.26
% 0.87/1.26 useres = 1
% 0.87/1.26 useparamod = 1
% 0.87/1.26 useeqrefl = 1
% 0.87/1.26 useeqfact = 1
% 0.87/1.26 usefactor = 1
% 0.87/1.26 usesimpsplitting = 0
% 0.87/1.26 usesimpdemod = 5
% 0.87/1.26 usesimpres = 3
% 0.87/1.26
% 0.87/1.26 resimpinuse = 1000
% 0.87/1.26 resimpclauses = 20000
% 0.87/1.26 substype = eqrewr
% 0.87/1.26 backwardsubs = 1
% 0.87/1.26 selectoldest = 5
% 0.87/1.26
% 0.87/1.26 litorderings [0] = split
% 0.87/1.26 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.26
% 0.87/1.26 termordering = kbo
% 0.87/1.26
% 0.87/1.26 litapriori = 0
% 0.87/1.26 termapriori = 1
% 0.87/1.26 litaposteriori = 0
% 0.87/1.26 termaposteriori = 0
% 0.87/1.26 demodaposteriori = 0
% 0.87/1.26 ordereqreflfact = 0
% 0.87/1.26
% 0.87/1.26 litselect = negord
% 0.87/1.26
% 0.87/1.26 maxweight = 15
% 0.87/1.26 maxdepth = 30000
% 0.87/1.26 maxlength = 115
% 0.87/1.26 maxnrvars = 195
% 0.87/1.26 excuselevel = 1
% 0.87/1.26 increasemaxweight = 1
% 0.87/1.26
% 0.87/1.26 maxselected = 10000000
% 0.87/1.26 maxnrclauses = 10000000
% 0.87/1.26
% 0.87/1.26 showgenerated = 0
% 0.87/1.26 showkept = 0
% 0.87/1.26 showselected = 0
% 0.87/1.26 showdeleted = 0
% 0.87/1.26 showresimp = 1
% 0.87/1.26 showstatus = 2000
% 0.87/1.26
% 0.87/1.26 prologoutput = 1
% 0.87/1.26 nrgoals = 5000000
% 0.87/1.26 totalproof = 1
% 0.87/1.26
% 0.87/1.26 Symbols occurring in the translation:
% 0.87/1.26
% 0.87/1.26 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.26 . [1, 2] (w:1, o:113, a:1, s:1, b:0),
% 0.87/1.26 ! [4, 1] (w:0, o:83, a:1, s:1, b:0),
% 0.87/1.26 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.26 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.26 'class_HOL_Oord' [40, 1] (w:1, o:88, a:1, s:1, b:0),
% 0.87/1.26 'tc_fun' [42, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.87/1.26 'c_lessequals' [43, 1] (w:1, o:89, a:1, s:1, b:0),
% 0.87/1.26 hAPP [45, 2] (w:1, o:139, a:1, s:1, b:0),
% 0.87/1.26 hBOOL [47, 1] (w:1, o:90, a:1, s:1, b:0),
% 0.87/1.26 'c_HOL_Oord__class_Oless' [48, 3] (w:1, o:153, a:1, s:1, b:0),
% 0.87/1.26 'tc_bool' [51, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.87/1.26 'c_Finite__Set_Ofinite' [52, 2] (w:1, o:140, a:1, s:1, b:0),
% 0.87/1.26 'class_Ring__and__Field_Oring' [54, 1] (w:1, o:91, a:1, s:1, b:0),
% 0.87/1.26 'c_Orderings_Obot__class_Obot' [56, 1] (w:1, o:92, a:1, s:1, b:0),
% 0.87/1.26 'c_Set_Oinsert' [57, 3] (w:1, o:154, a:1, s:1, b:0),
% 0.87/1.26 'c_HOL_Ominus__class_Ominus' [58, 3] (w:1, o:155, a:1, s:1, b:0),
% 0.87/1.26 'c_Finite__Set_Osetsum' [59, 4] (w:1, o:165, a:1, s:1, b:0),
% 0.87/1.26 'c_in' [60, 3] (w:1, o:156, a:1, s:1, b:0),
% 0.87/1.26 'class_OrderedGroup_Oab__group__add' [61, 1] (w:1, o:93, a:1, s:1, b:
% 0.87/1.26 0),
% 0.87/1.26 'class_Orderings_Olinorder' [63, 1] (w:1, o:94, a:1, s:1, b:0),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastAtMost' [66, 3] (w:1, o:157, a:1
% 0.87/1.26 , s:1, b:0),
% 0.87/1.26 'c_SetInterval_Oord__class_OgreaterThanAtMost' [68, 3] (w:1, o:158
% 0.87/1.26 , a:1, s:1, b:0),
% 0.87/1.26 'c_Lattices_Oupper__semilattice__class_Osup' [69, 3] (w:1, o:159, a:1
% 0.87/1.26 , s:1, b:0),
% 0.87/1.26 'c_fequal' [70, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.87/1.26 'c_COMBC' [71, 4] (w:1, o:166, a:1, s:1, b:0),
% 0.87/1.26 'c_Collect' [72, 2] (w:1, o:141, a:1, s:1, b:0),
% 0.87/1.26 'c_Nitpick_Ofold__graph_H' [74, 6] (w:1, o:179, a:1, s:1, b:0),
% 0.87/1.26 'c_Finite__Set_Ofold__graph' [75, 6] (w:1, o:180, a:1, s:1, b:0),
% 0.87/1.26 'class_Orderings_Opreorder' [76, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.87/1.26 'class_Orderings_Oorder' [78, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.87/1.26 'class_OrderedGroup_Opordered__ab__group__add' [80, 1] (w:1, o:98, a:
% 0.87/1.26 1, s:1, b:0),
% 0.87/1.26 'c_HOL_Ouminus__class_Ouminus' [81, 2] (w:1, o:142, a:1, s:1, b:0),
% 0.87/1.26 'class_Lattices_Oupper__semilattice' [82, 1] (w:1, o:99, a:1, s:1, b:
% 0.87/1.26 0),
% 0.87/1.26 'class_Finite__Set_Ofinite_Ofinite' [83, 1] (w:1, o:100, a:1, s:1, b:
% 0.87/1.26 0),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice' [94, 9] (w:1, o:183, a:1, s:
% 0.87/1.26 1, b:0),
% 0.87/1.26 'c_COMBK' [96, 3] (w:1, o:160, a:1, s:1, b:0),
% 0.87/1.26 'c_The' [101, 2] (w:1, o:144, a:1, s:1, b:0),
% 0.87/1.26 'class_Ring__and__Field_Oordered__idom' [104, 1] (w:1, o:101, a:1, s:
% 0.87/1.26 1, b:0),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [107, 4] (w:1
% 0.87/1.26 , o:167, a:1, s:1, b:0),
% 0.87/1.26 'class_Complete__Lattice_Ocomplete__lattice' [108, 1] (w:1, o:102, a:
% 0.87/1.26 1, s:1, b:0),
% 0.87/1.26 'c_SetInterval_Oord__class_OatLeastLessThan' [110, 3] (w:1, o:161, a:
% 0.87/1.26 1, s:1, b:0),
% 0.87/1.26 'c_Complete__Lattice_OInf__class_OInf' [111, 1] (w:1, o:103, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'c_Complete__Lattice_OSup__class_OSup' [112, 1] (w:1, o:104, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'c_Complete__Lattice_Ocomplete__lattice__axioms' [113, 4] (w:1, o:168
% 0.87/1.26 , a:1, s:1, b:0),
% 0.87/1.26 't_b' [114, 0] (w:1, o:62, a:1, s:1, b:0),
% 0.87/1.26 'class_HOL_Ouminus' [115, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.87/1.26 'v_A' [116, 0] (w:1, o:63, a:1, s:1, b:0),
% 0.87/1.26 't_a' [117, 0] (w:1, o:61, a:1, s:1, b:0),
% 0.87/1.26 'v_x' [118, 0] (w:1, o:64, a:1, s:1, b:0),
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMax' [119, 2] (w:1, o:145, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'c_Finite__Set_Olinorder__class_OMin' [120, 2] (w:1, o:146, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'c_Finite__Set_Ofold1Set' [121, 3] (w:1, o:162, a:1, s:1, b:0),
% 0.87/1.26 'tc_nat' [122, 0] (w:1, o:65, a:1, s:1, b:0),
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple' [124, 4] (w:1, o:169, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple' [125, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.87/1.26 'c_Hoare__Mirabelle_Ohoare__derivs' [126, 3] (w:1, o:163, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'tc_Com_Ostate' [127, 0] (w:1, o:67, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xescape__2' [128, 4] (w:1, o:171, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xescape__1' [129, 4] (w:1, o:170, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'class_Lattices_Olattice' [130, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.87/1.26 'class_Lattices_Obounded__lattice' [131, 1] (w:1, o:108, a:1, s:1, b:
% 0.87/1.26 0),
% 0.87/1.26 'c_Com_Ocom_OSKIP' [134, 0] (w:1, o:69, a:1, s:1, b:0),
% 0.87/1.26 'c_Com_Ocom_OSemi' [137, 2] (w:1, o:147, a:1, s:1, b:0),
% 0.87/1.26 'class_OrderedGroup_Ogroup__add' [138, 1] (w:1, o:109, a:1, s:1, b:0)
% 0.87/1.26 ,
% 0.87/1.26 'class_Lattices_Oboolean__algebra' [139, 1] (w:1, o:110, a:1, s:1, b:
% 0.87/1.26 0),
% 0.87/1.26 'class_HOL_Ominus' [140, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.26 'c_Finite__Set_Ofold1' [143, 3] (w:1, o:164, a:1, s:1, b:0),
% 0.87/1.26 'class_Orderings_Obot' [149, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.26 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [150, 2] (w:1, o:148, a:1
% 0.87/1.26 , s:1, b:0),
% 0.87/1.26 'c_Set_Ocontents' [151, 2] (w:1, o:143, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3' [153, 6] (w:1
% 0.87/1.26 , o:181, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2' [154, 4] (w:1
% 0.87/1.26 , o:173, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq12__3' [157, 4] (w:1, o:176, a:1, s:
% 0.87/1.26 1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq12__2' [158, 4] (w:1, o:175, a:1, s:
% 0.87/1.26 1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3' [159, 6] (w:
% 0.87/1.26 1, o:182, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2' [160, 4] (w:
% 0.87/1.26 1, o:178, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1' [161, 4] (w:
% 0.87/1.26 1, o:177, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1' [162, 4] (w:1
% 0.87/1.26 , o:172, a:1, s:1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq2__1' [163, 2] (w:1, o:151, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq2__2' [164, 2] (w:1, o:152, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq12__1' [165, 4] (w:1, o:174, a:1, s:
% 0.87/1.26 1, b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq1__1' [166, 2] (w:1, o:149, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'v_sko__Hoare__Mirabelle__Xconseq1__2' [167, 2] (w:1, o:150, a:1, s:1
% 0.87/1.26 , b:0),
% 0.87/1.26 'v_G' [177, 0] (w:1, o:77, a:1, s:1, b:0),
% 0.87/1.26 'v_Ga' [178, 0] (w:1, o:78, a:1, s:1, b:0),
% 0.87/1.26 'v_P' [179, 0] (w:1, o:79, a:1, s:1, b:0).
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Starting Search:
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 Bliksems!, er is een bewijs:
% 0.87/1.26 % SZS status Unsatisfiable
% 0.87/1.26 % SZS output start Refutation
% 0.87/1.26
% 0.87/1.26 clause( 227, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.87/1.26 .
% 0.87/1.26 clause( 261, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.26 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.26 .
% 0.87/1.26 clause( 293, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_fequal'(
% 0.87/1.26 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.26 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ) ), Z
% 0.87/1.26 ) ] )
% 0.87/1.26 .
% 0.87/1.26 clause( 318, [] )
% 0.87/1.26 .
% 0.87/1.26
% 0.87/1.26
% 0.87/1.26 % SZS output end Refutation
% 0.87/1.26 found a proof!
% 0.87/1.26
% 0.87/1.26 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.26
% 0.87/1.26 initialclauses(
% 0.87/1.26 [ clause( 320, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( Z, T, 'tc_fun'( Y, X ) ) ) ] )
% 0.87/1.26 , clause( 321, [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.26 Z, 'tc_fun'( T, X ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X
% 0.87/1.26 ) ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, X )
% 0.87/1.26 ), Y ), Z ) ) ) ] )
% 0.87/1.26 , clause( 322, [ ~( 'class_HOL_Oord'( X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( Y, X ) ), Z ), T ) ) ), ~(
% 0.87/1.26 'c_HOL_Oord__class_Oless'( T, Z, 'tc_fun'( Y, X ) ) ) ] )
% 0.87/1.26 , clause( 323, [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.26 , clause( 324, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.26 ), =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z,
% 0.87/1.26 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.26 , clause( 325, [ 'c_Finite__Set_Ofinite'( X, Y ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.26 'c_lessequals'( 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.87/1.26 , clause( 326, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.26 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.26 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), X ), T ) )
% 0.87/1.26 ) ] )
% 0.87/1.26 , clause( 327, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.26 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.26 , Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) )
% 0.87/1.26 ) ] )
% 0.87/1.26 , clause( 328, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.26 'c_Finite__Set_Ofinite'( Z, Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.26 'tc_fun'( Y, 'tc_bool' ) ), X ), Z ) ) ) ] )
% 0.87/1.26 , clause( 329, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.26 ) ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( X,
% 0.87/1.26 'tc_bool' ) ) ) ] )
% 0.87/1.26 , clause( 330, [ ~( 'class_Ring__and__Field_Oring'( X ) ), =(
% 0.87/1.26 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.26 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.27 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.87/1.27 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 0.87/1.27 , clause( 331, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.27 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.87/1.27 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 0.87/1.27 , clause( 332, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 333, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), hBOOL( 'c_in'( Y, X, T ) ),
% 0.87/1.27 hBOOL( 'c_in'( Y, Z, T ) ) ] )
% 0.87/1.27 , clause( 334, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), hBOOL( 'c_in'( T, Z, X ) )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Y, 'c_Set_Oinsert'( T, Z, X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 335, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.27 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 336, [ =( 'c_Collect'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.87/1.27 'tc_bool' ), Y ), X ), 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.87/1.27 , clause( 337, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Collect'( hAPP(
% 0.87/1.27 'c_COMBC'( 'c_fequal'( Z ), Z, Z, 'tc_bool' ), X ), Z ), Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 338, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ] )
% 0.87/1.27 , clause( 339, [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.27 ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.27 , clause( 340, [ 'c_Nitpick_Ofold__graph_H'( X, Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 341, [ 'c_Finite__Set_Ofold__graph'( X, Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 342, [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 343, [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 344, [ ~( 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 345, [ ~( 'class_Orderings_Opreorder'( X ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.87/1.27 , Y, X ) ) ] )
% 0.87/1.27 , clause( 346, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), Z ), Y ) ) ] )
% 0.87/1.27 , clause( 347, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Z
% 0.87/1.27 , Y, X ) ) ] )
% 0.87/1.27 , clause( 348, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 349, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 350, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Y, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 351, [ ~( 'class_Orderings_Olinorder'( X ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Y, X ) ) ] )
% 0.87/1.27 , clause( 352, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), Z ), Y ) ) ] )
% 0.87/1.27 , clause( 353, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 354, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 355, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 356, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 357, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.27 , X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) ) ] )
% 0.87/1.27 , clause( 358, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.87/1.27 , X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 359, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), T ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 360, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 361, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ), =( Z, Y ) ] )
% 0.87/1.27 , clause( 362, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 363, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 364, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Y, Z ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 365, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 366, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Y, Z, X ) ] )
% 0.87/1.27 , clause( 367, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 368, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.27 , X ) ) ] )
% 0.87/1.27 , clause( 369, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), Z, X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Z, X ), Y
% 0.87/1.27 , X ) ) ] )
% 0.87/1.27 , clause( 370, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.27 , X ) ) ] )
% 0.87/1.27 , clause( 371, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ouminus__class_Ouminus'( Y, X )
% 0.87/1.27 , X ) ) ] )
% 0.87/1.27 , clause( 372, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.87/1.27 , clause( 373, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 374, [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ),
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ] )
% 0.87/1.27 , clause( 375, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( T, U, X
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), U ), Y ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( U
% 0.87/1.27 , Y, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 376, [ 'c_Complete__Lattice_Ocomplete__lattice'( X, Y, 'c_COMBC'(
% 0.87/1.27 Z, T, T, 'tc_bool' ), 'c_COMBC'( U, T, T, 'tc_bool' ), W, V0, V1, V2, T )
% 0.87/1.27 , ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, X, Z, U, V0, W, V2, V1
% 0.87/1.27 , T ) ) ] )
% 0.87/1.27 , clause( 377, [ =( hAPP( 'c_COMBK'( X, Y, Z ), T ), X ) ] )
% 0.87/1.27 , clause( 378, [ =( hAPP( hAPP( 'c_COMBC'( X, Y, Z, T ), U ), W ), hAPP(
% 0.87/1.27 hAPP( X, W ), U ) ) ] )
% 0.87/1.27 , clause( 379, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.87/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ] )
% 0.87/1.27 , clause( 380, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 381, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.27 ), ~( 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 382, [ ~( 'class_Orderings_Opreorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, Z
% 0.87/1.27 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ] )
% 0.87/1.27 , clause( 383, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( Z, T, X, U, Y, W ) ) ] )
% 0.87/1.27 , clause( 384, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.87/1.27 , clause( 385, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 386, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 387, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y
% 0.87/1.27 , 'tc_bool' ) ), Y ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ] )
% 0.87/1.27 , clause( 388, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) )
% 0.87/1.27 , ~( 'c_Finite__Set_Ofinite'( Y, Z ) ) ] )
% 0.87/1.27 , clause( 389, [ =( 'c_The'( hAPP( 'c_COMBC'( 'c_fequal'( X ), X, X,
% 0.87/1.27 'tc_bool' ), Y ), X ), Y ) ] )
% 0.87/1.27 , clause( 390, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.87/1.27 , clause( 391, [ 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( X, Z ) ) ] )
% 0.87/1.27 , clause( 392, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( X
% 0.87/1.27 , Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.27 , clause( 393, [ 'c_Finite__Set_Ofinite'( X, Y ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.27 , X, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ] )
% 0.87/1.27 , clause( 394, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 395, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.27 , X ), X ) ) ] )
% 0.87/1.27 , clause( 396, [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool'
% 0.87/1.27 ) ) ) ] )
% 0.87/1.27 , clause( 397, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.87/1.27 , clause( 398, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.87/1.27 , clause( 399, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ] )
% 0.87/1.27 , clause( 400, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.27 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), T ), Y ) ) ) ] )
% 0.87/1.27 , clause( 401, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.27 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.87/1.27 , ~( 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 X ), T ), Y ) ) ) ] )
% 0.87/1.27 , clause( 402, [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), =( Z, Y ) ] )
% 0.87/1.27 , clause( 403, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 404, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ), =( Z, Y ) ] )
% 0.87/1.27 , clause( 405, [ ~( 'class_Orderings_Olinorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), =( Z, Y ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ] )
% 0.87/1.27 , clause( 406, [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 407, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.87/1.27 , clause( 408, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 409, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( T
% 0.87/1.27 , U, X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 410, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y
% 0.87/1.27 , Z, X ), ~( 'c_HOL_Oord__class_Oless'( T, U, X ) ) ] )
% 0.87/1.27 , clause( 411, [ ~( 'class_Orderings_Oorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 Y, X ) ) ] )
% 0.87/1.27 , clause( 412, [ ~( 'class_Orderings_Olinorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 Y, X ) ) ] )
% 0.87/1.27 , clause( 413, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 Y, X ) ) ] )
% 0.87/1.27 , clause( 414, [ ~( 'class_Orderings_Opreorder'( X ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z,
% 0.87/1.27 Y, X ) ) ] )
% 0.87/1.27 , clause( 415, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.87/1.27 X ), X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( U, 'tc_bool'
% 0.87/1.27 ) ), T ), Z ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 0.87/1.27 , clause( 416, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 417, [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T
% 0.87/1.27 , U ), hAPP( hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.87/1.27 X, Y, T, W, U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ] )
% 0.87/1.27 , clause( 418, [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.87/1.27 ), ~( hBOOL( 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.87/1.27 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 419, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 420, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), T ), Y ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 421, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), Z ), T ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 422, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 423, [ ~( 'class_Orderings_Oorder'( X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.27 , Z, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), U ) ) )
% 0.87/1.27 , hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.27 , clause( 424, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 425, [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, T, U ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ] )
% 0.87/1.27 , clause( 426, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.87/1.27 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.87/1.27 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, U ) ) ] )
% 0.87/1.27 , clause( 427, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 428, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, 'c_COMBK'( Z
% 0.87/1.27 , X, T ), T, X ), Z ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 429, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'c_COMBK'( Y
% 0.87/1.27 , 'tc_fun'( Z, 'tc_bool' ), X ), X, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 430, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 X, 'c_COMBK'( Y, 'tc_fun'( Z, 'tc_bool' ), T ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.27 ) ), Y ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' )
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 431, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 X, 'c_COMBK'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.27 , 'tc_fun'( Y, 'tc_bool' ), Z ), Z, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 432, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.87/1.27 , 'tc_bool' ) ), Z ) ) ] )
% 0.87/1.27 , clause( 433, [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ), T ) ) ] )
% 0.87/1.27 , clause( 434, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.87/1.27 , clause( 435, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 436, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ] )
% 0.87/1.27 , clause( 437, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 438, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__axioms'(
% 0.87/1.27 'c_Complete__Lattice_OInf__class_OInf'( X ),
% 0.87/1.27 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_lessequals'( X ), X ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 439, [ ~( 'class_HOL_Ouminus'( 't_b' ) ), =( hAPP(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'v_A', 'tc_fun'( 't_a', 't_b' ) ), 'v_x'
% 0.87/1.27 ), 'c_HOL_Ouminus__class_Ouminus'( hAPP( 'v_A', 'v_x' ), 't_b' ) ) ] )
% 0.87/1.27 , clause( 440, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) )
% 0.87/1.27 ), ~( hBOOL( 'c_in'( Y, Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 441, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ), Z )
% 0.87/1.27 ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 442, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.87/1.27 , clause( 443, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ) ] )
% 0.87/1.27 , clause( 444, [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'(
% 0.87/1.27 Y, Z, T ), T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( X, Y, Z, U, T, T ) ) ] )
% 0.87/1.27 , clause( 445, [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T )
% 0.87/1.27 , U ), W, V0 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofold__graph'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.87/1.27 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ) ] )
% 0.87/1.27 , clause( 446, [ =( 'c_Finite__Set_Osetsum'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), T, 'tc_nat' ), 'c_Finite__Set_Osetsum'( X, Y, T,
% 0.87/1.27 'tc_nat' ) ), hBOOL( 'c_in'( Z, Y, T ) ) ] )
% 0.87/1.27 , clause( 447, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.27 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 448, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.87/1.27 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ] )
% 0.87/1.27 , clause( 449, [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X
% 0.87/1.27 , 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.87/1.27 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 450, [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U
% 0.87/1.27 ), W, V0 ), ~( 'c_Nitpick_Ofold__graph_H'( X, Y,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.87/1.27 W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL( 'c_in'( T, Z, W ) ) ) ] )
% 0.87/1.27 , clause( 451, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.87/1.27 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 452, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMin'( Y, X ) ),
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( Z, X ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 453, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Finite__Set_Olinorder__class_OMax'( Y, X ) ),
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( Z, X ) ) ), ~(
% 0.87/1.27 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 454, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( 'c_COMBK'( hAPP( 'c_COMBC'(
% 0.87/1.27 'c_fequal'( 'tc_Com_Ostate' ), 'tc_Com_Ostate', 'tc_Com_Ostate',
% 0.87/1.27 'tc_bool' ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ),
% 0.87/1.27 'tc_fun'( 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), Z, 'c_COMBK'( hAPP( T,
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z ) ), 'tc_fun'(
% 0.87/1.27 'tc_Com_Ostate', 'tc_bool' ), 't_a' ), 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 455, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.27 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 456, [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), X ), Z ) ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL( 'c_in'( Y, Z, T
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 457, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 458, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 459, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z
% 0.87/1.27 , Y, X ) ) ) ] )
% 0.87/1.27 , clause( 460, [ ~( 'class_Lattices_Olattice'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.87/1.27 , Z, X ) ) ) ] )
% 0.87/1.27 , clause( 461, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 462, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 463, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.27 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 464, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.27 , X ) ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 465, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.87/1.27 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.87/1.27 , Z, X ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 466, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ] )
% 0.87/1.27 , clause( 467, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ] )
% 0.87/1.27 , clause( 468, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.27 , clause( 469, [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.27 , clause( 470, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 471, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T,
% 0.87/1.27 U, W, V0, V1, V2, Z, Y ) ) ] )
% 0.87/1.27 , clause( 472, [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X,
% 0.87/1.27 U, W, V0, V1, Z, V2, Y ) ) ] )
% 0.87/1.27 , clause( 473, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Collect'( Y, X ) ) ), ~( hBOOL( hAPP( Y, Z ) ) ) ] )
% 0.87/1.27 , clause( 474, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 475, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 476, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 477, [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 478, [ ~( =( 'c_Collect'( X, Y ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( X, Z ) ) ) ] )
% 0.87/1.27 , clause( 479, [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 480, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ) ) ] )
% 0.87/1.27 , clause( 481, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 482, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ) ] )
% 0.87/1.27 , clause( 483, [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 484, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 485, [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 486, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 487, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 488, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.27 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.87/1.27 'c_in'( X, Y, Z ) ) ) ] )
% 0.87/1.27 , clause( 489, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.87/1.27 , 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ), X ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 490, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.27 ), 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.87/1.27 , Z ) ) ] )
% 0.87/1.27 , clause( 491, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.87/1.27 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.27 , clause( 492, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~(
% 0.87/1.27 hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.27 , clause( 493, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y
% 0.87/1.27 ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W,
% 0.87/1.27 V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.87/1.27 , clause( 494, [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y
% 0.87/1.27 ), hAPP( X, Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X,
% 0.87/1.27 V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.87/1.27 , clause( 495, [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X
% 0.87/1.27 , 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ] )
% 0.87/1.27 , clause( 496, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'(
% 0.87/1.27 Y, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ) ) ] )
% 0.87/1.27 , clause( 497, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Set_Oinsert'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ] )
% 0.87/1.27 , clause( 498, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.27 , clause( 499, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.27 , clause( 500, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ] )
% 0.87/1.27 , clause( 501, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z
% 0.87/1.27 ) ) ), hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 502, [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y
% 0.87/1.27 , Z ) ) ) ] )
% 0.87/1.27 , clause( 503, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), Z ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T
% 0.87/1.27 , 'tc_bool' ) ), X ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) ) ) ] )
% 0.87/1.27 , clause( 504, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.27 , Y ) ) ) ] )
% 0.87/1.27 , clause( 505, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), Y ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( X, T, Z ) ) ) ] )
% 0.87/1.27 , clause( 506, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.27 , Y ) ) ) ] )
% 0.87/1.27 , clause( 507, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T )
% 0.87/1.27 , Y ) ) ) ] )
% 0.87/1.27 , clause( 508, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 509, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 510, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, U,
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 511, [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y ) ), hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ] )
% 0.87/1.27 , clause( 512, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.87/1.27 , clause( 513, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.27 , clause( 514, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), U ), Z ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y )
% 0.87/1.27 , T ) ) ) ] )
% 0.87/1.27 , clause( 515, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 516, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 517, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), Y ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 518, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.27 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 519, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.27 , clause( 520, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.27 , clause( 521, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X
% 0.87/1.27 , 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 522, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), Y
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 523, [ ~( =( 'c_Com_Ocom_OSKIP', 'c_Com_Ocom_OSemi'( X, Y ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 524, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSKIP' ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 525, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.27 , clause( 526, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( 'c_in'( Z, Y, X ) )
% 0.87/1.27 ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.27 , clause( 527, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ), T ) ), ~( hBOOL( 'c_in'( Z, Y, X ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ),
% 0.87/1.27 'c_Set_Oinsert'( Z, T, X ) ) ) ) ] )
% 0.87/1.27 , clause( 528, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 529, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.27 , clause( 530, [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 531, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ), hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.27 , clause( 532, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 533, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.27 , clause( 534, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), Z ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ) ) ) ) ] )
% 0.87/1.27 , clause( 535, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), T ), Y ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ) ) ) ) ] )
% 0.87/1.27 , clause( 536, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Z ), U ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), T ), Y ) ) ) ] )
% 0.87/1.27 , clause( 537, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 T ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ) ) ) ) ] )
% 0.87/1.27 , clause( 538, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ) ] )
% 0.87/1.27 , clause( 539, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ) ] )
% 0.87/1.27 , clause( 540, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 541, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ) ) ) ) ] )
% 0.87/1.27 , clause( 542, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), 'c_HOL_Ouminus__class_Ouminus'( Y
% 0.87/1.27 , X ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 543, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 544, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ] )
% 0.87/1.27 , clause( 545, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 546, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.27 X ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 547, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.27 X ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 548, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 549, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 550, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.27 X ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 551, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T,
% 0.87/1.27 X ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 552, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), U ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 553, [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.87/1.27 ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, U, X ) ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), Y ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), U ), T ) ) ) ] )
% 0.87/1.27 , clause( 554, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.87/1.27 X ), 'c_HOL_Ominus__class_Ominus'( Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 555, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.27 ), Y ) ] )
% 0.87/1.27 , clause( 556, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 557, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( Y,
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 558, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.27 ), Y ) ] )
% 0.87/1.27 , clause( 559, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_HOL_Ouminus__class_Ouminus'( Y, X ), X
% 0.87/1.27 ), Y ) ] )
% 0.87/1.27 , clause( 560, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Y, 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 561, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ) ), T ) ) ) ] )
% 0.87/1.27 , clause( 562, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( X, 'tc_bool' ) ) ), T
% 0.87/1.27 ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y
% 0.87/1.27 ), 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.27 , clause( 563, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.27 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.87/1.27 hBOOL( 'c_in'( X, T, Z ) ) ] )
% 0.87/1.27 , clause( 564, [ hBOOL( hAPP(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( W, X, Z ) ) ) ] )
% 0.87/1.27 , clause( 565, [ hBOOL( hAPP(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ), U ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( W, X, Z ) ) ) ] )
% 0.87/1.27 , clause( 566, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 567, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ] )
% 0.87/1.27 , clause( 568, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 569, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 570, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 571, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 572, [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, T, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z
% 0.87/1.27 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 0.87/1.27 , clause( 573, [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( T, Z, U ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W
% 0.87/1.27 , X, V0, V1, V2, V3, V4, U ) ) ] )
% 0.87/1.27 , clause( 574, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 575, [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( hAPP( Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 576, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 577, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 578, [ hBOOL( 'c_in'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 579, [ hBOOL( 'c_in'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.87/1.27 hBOOL( 'c_in'( W, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 580, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 581, [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 582, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, 'c_Collect'( X
% 0.87/1.27 , Z ), Z ) ) ) ] )
% 0.87/1.27 , clause( 583, [ hBOOL( 'c_in'( X, 'c_Collect'( Y, Z ), Z ) ), ~( hBOOL(
% 0.87/1.27 hAPP( Y, X ) ) ) ] )
% 0.87/1.27 , clause( 584, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Z
% 0.87/1.27 , 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.27 , clause( 585, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.87/1.27 , clause( 586, [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.87/1.27 , clause( 587, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ] )
% 0.87/1.27 , clause( 588, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ] )
% 0.87/1.27 , clause( 589, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 590, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 591, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.87/1.27 , T, X ) ) ), =( Z, T ) ] )
% 0.87/1.27 , clause( 592, [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.87/1.27 , T, X ) ) ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 593, [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 594, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 595, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 596, [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 597, [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ] )
% 0.87/1.27 , clause( 598, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X,
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 599, [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.87/1.27 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.87/1.27 ), hAPP( Z, 'v_x' ), X ) ) ] )
% 0.87/1.27 , clause( 600, [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.87/1.27 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ] )
% 0.87/1.27 , clause( 601, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP( Y, Z ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, X ) ) ),
% 0.87/1.27 ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 0.87/1.27 , clause( 602, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), hAPP( Y, Z ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y, U, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ) ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ] )
% 0.87/1.27 , clause( 603, [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z
% 0.87/1.27 ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ] )
% 0.87/1.27 , clause( 604, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 605, [ hBOOL( 'c_in'( X, 'c_HOL_Ouminus__class_Ouminus'( Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), hBOOL( 'c_in'( X, Y, Z ) ) ] )
% 0.87/1.27 , clause( 606, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.87/1.27 , clause( 607, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.87/1.27 ) ) ), =( Y, T ) ] )
% 0.87/1.27 , clause( 608, [ ~( =( 'c_Com_Ocom_OSemi'( X, Y ), 'c_Com_Ocom_OSemi'( Z, T
% 0.87/1.27 ) ) ), =( X, Z ) ] )
% 0.87/1.27 , clause( 609, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.87/1.27 , Z, X ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, hAPP(
% 0.87/1.27 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ), X ) ) ] )
% 0.87/1.27 , clause( 610, [ =( 'c_HOL_Ouminus__class_Ouminus'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 611, [ ~( =(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z, 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool'
% 0.87/1.27 ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ] )
% 0.87/1.27 , clause( 612, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 613, [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 614, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( Z, U, W ) ) ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, Y, W, 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.27 , clause( 615, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X,
% 0.87/1.27 Y ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T,
% 0.87/1.27 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ] )
% 0.87/1.27 , clause( 616, [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL(
% 0.87/1.27 hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 617, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ] )
% 0.87/1.27 , clause( 618, [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ] )
% 0.87/1.27 , clause( 619, [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ),
% 0.87/1.27 ~( hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 620, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 621, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y,
% 0.87/1.27 Z, T, 'tc_fun'( X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( U, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 622, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ] )
% 0.87/1.27 , clause( 623, [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ] )
% 0.87/1.27 , clause( 624, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.87/1.27 ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Z ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 625, [ ~( 'class_Lattices_Oboolean__algebra'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.27 , X ) ) ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 626, [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, X ), 'c_HOL_Ouminus__class_Ouminus'( Z
% 0.87/1.27 , X ) ) ), =( Y, Z ) ] )
% 0.87/1.27 , clause( 627, [ ~( =( 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), 'c_HOL_Ouminus__class_Ouminus'( Z, 'tc_fun'( Y, 'tc_bool'
% 0.87/1.27 ) ) ) ), =( X, Z ) ] )
% 0.87/1.27 , clause( 628, [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a',
% 0.87/1.27 'tc_bool' ) ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( 't_a', 'tc_bool' ) ), 't_a' ) ) ] )
% 0.87/1.27 , clause( 629, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 630, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), hAPP(
% 0.87/1.27 'c_Complete__Lattice_OInf__class_OInf'( X ), Y ) ), Z ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Z, Y, X ) ) ) ] )
% 0.87/1.27 , clause( 631, [ ~( 'class_HOL_Ouminus'( X ) ), =( hAPP(
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( Y, 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( hAPP( Y, 'v_x' ), X ) ) ] )
% 0.87/1.27 , clause( 632, [ hBOOL( 'c_in'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ] )
% 0.87/1.27 , clause( 633, [ hBOOL( 'c_in'( X,
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ] )
% 0.87/1.27 , clause( 634, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 635, [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.87/1.27 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 636, [ =( 'c_The'( hAPP( 'c_fequal'( X ), Y ), X ), Y ) ] )
% 0.87/1.27 , clause( 637, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), hAPP(
% 0.87/1.27 'c_Complete__Lattice_OSup__class_OSup'( X ), Z ) ) ), ~( hBOOL( 'c_in'( Y
% 0.87/1.27 , Z, X ) ) ) ] )
% 0.87/1.27 , clause( 638, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 Y ), T ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ) ),
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ) ) ) ) ] )
% 0.87/1.27 , clause( 639, [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.27 , clause( 640, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( X ) ) ] )
% 0.87/1.27 , clause( 641, [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ),
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), X ) ) ] )
% 0.87/1.27 , clause( 642, [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 643, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.87/1.27 ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3,
% 0.87/1.27 Z ) ) ] )
% 0.87/1.27 , clause( 644, [ =( hAPP( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ),
% 0.87/1.27 ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3,
% 0.87/1.27 Z ) ) ] )
% 0.87/1.27 , clause( 645, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( hAPP( 'c_Complete__Lattice_OSup__class_OSup'( X ), 'c_Set_Oinsert'( Y
% 0.87/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 646, [ hBOOL( hAPP( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.87/1.27 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 647, [ =( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.87/1.27 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ] )
% 0.87/1.27 , clause( 648, [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'(
% 0.87/1.27 Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 Y ) ) ] )
% 0.87/1.27 , clause( 649, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 650, [ =( 'c_The'( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 651, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.27 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.87/1.27 , W, V0, V1, U, V2, V3, V4, T ) ) ] )
% 0.87/1.27 , clause( 652, [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.87/1.27 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.87/1.27 , X, V0, V1, V2, U, V3, V4, T ) ) ] )
% 0.87/1.27 , clause( 653, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.87/1.27 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.87/1.27 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 654, [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z
% 0.87/1.27 , T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 655, [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.87/1.27 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.87/1.27 'tc_bool' ) ), T ), T ), Y ) ) ) ] )
% 0.87/1.27 , clause( 656, [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 657, [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'(
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), Z ) ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 658, [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 659, [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 660, [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.87/1.27 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 661, [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.87/1.27 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.87/1.27 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.87/1.27 Y, Z ) ) ] )
% 0.87/1.27 , clause( 662, [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.87/1.27 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.87/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.87/1.27 , clause( 663, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL(
% 0.87/1.27 'c_in'( X, Y, Z ) ) ] )
% 0.87/1.27 , clause( 664, [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.27 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ) ] )
% 0.87/1.27 , clause( 665, [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ),
% 0.87/1.27 =( hAPP( 'c_Complete__Lattice_OInf__class_OInf'( X ), 'c_Set_Oinsert'( Y
% 0.87/1.27 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ), Y )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 666, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), X ), 'c_HOL_Ouminus__class_Ouminus'( X, 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.27 , clause( 667, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_HOL_Ouminus__class_Ouminus'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.27 , clause( 668, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), T ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) ) ), ~( hBOOL(
% 0.87/1.27 'c_in'( Y, T, X ) ) ) ] )
% 0.87/1.27 , clause( 669, [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X, T, Z ) )
% 0.87/1.27 , Y ) ) ) ] )
% 0.87/1.27 , clause( 670, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.87/1.27 Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 671, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), hBOOL( 'c_in'( T, Y, X ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X
% 0.87/1.27 ) ) ) ) ] )
% 0.87/1.27 , clause( 672, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), hBOOL( 'c_in'(
% 0.87/1.27 Z, Y, X ) ) ] )
% 0.87/1.27 , clause( 673, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( T, Z, X ) ) ) ), hBOOL( 'c_in'( T, Y
% 0.87/1.27 , X ) ) ] )
% 0.87/1.27 , clause( 674, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, V0, U
% 0.87/1.27 ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) )
% 0.87/1.27 , ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 675, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( U, W ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y,
% 0.87/1.27 V0, T, U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, V0, T, U ) ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 676, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( U, W ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, V0
% 0.87/1.27 , U ) ) ), ~( hBOOL( hAPP( hAPP( V0, W ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z ) )
% 0.87/1.27 ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, Z, U, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 677, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.27 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2'( X, Y, T, Z )
% 0.87/1.27 ) ) ] )
% 0.87/1.27 , clause( 678, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1'( X, Y, T, Z ) )
% 0.87/1.27 , 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3'( X, Y, T, Z, U
% 0.87/1.27 , W ) ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 679, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( Y,
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__2'( X, Y, T, Z ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 680, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U ) )
% 0.87/1.27 , 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 681, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U, T
% 0.87/1.27 , W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__2'( Y, U, T, W ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 682, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U ) )
% 0.87/1.27 , 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 683, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( T,
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__1'( X, Y, T, Z ) ),
% 0.87/1.27 'v_sko__Hoare__Mirabelle__Xhoare__derivs__Xconseq__3'( X, Y, T, Z, U, W )
% 0.87/1.27 ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 684, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( U, 'v_sko__Hoare__Mirabelle__Xconseq1__1'( Y, U )
% 0.87/1.27 ), 'v_sko__Hoare__Mirabelle__Xconseq1__2'( Y, U ) ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 685, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq12__1'( Y, U
% 0.87/1.27 , T, W ) ), 'v_sko__Hoare__Mirabelle__Xconseq12__3'( Y, U, T, W ) ) ) ),
% 0.87/1.27 ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, Z, W, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 686, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , ~( hBOOL( hAPP( hAPP( T, 'v_sko__Hoare__Mirabelle__Xconseq2__1'( T, U )
% 0.87/1.27 ), 'v_sko__Hoare__Mirabelle__Xconseq2__2'( T, U ) ) ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, U, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 687, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, T, 't_a' ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 't_a' ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' )
% 0.87/1.27 , hBOOL( hAPP( hAPP( Y, 'v_sko__Hoare__Mirabelle__Xescape__1'( X, Y, T, Z
% 0.87/1.27 ) ), 'v_sko__Hoare__Mirabelle__Xescape__2'( X, Y, T, Z ) ) ) ] )
% 0.87/1.27 , clause( 688, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.87/1.27 'c_HOL_Ominus__class_Ominus'( Y, 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ) ), T ) ) ) ] )
% 0.87/1.27 , clause( 689, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSemi'( Z, T ), U, W
% 0.87/1.27 ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.27 'tc_Hoare__Mirabelle_Otriple'( W ), 'tc_bool' ) ),
% 0.87/1.27 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( V0, T, U, W ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, Z, V0, W ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 W ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( W ) ), W ) ) ] )
% 0.87/1.27 , clause( 690, [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), hBOOL( hAPP( hAPP( 'c_lessequals'( X ),
% 0.87/1.27 Z ), Y ) ) ] )
% 0.87/1.27 , clause( 691, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Set_Oinsert'( Y, Z, X ) ), 'c_Set_Oinsert'( Y, T, X ) ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Z ), T ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 692, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y
% 0.87/1.27 , Z, 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Z, T ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 T ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( T ) ), T ) ) ] )
% 0.87/1.27 , clause( 693, [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ) ]
% 0.87/1.27 )
% 0.87/1.27 , clause( 694, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.87/1.27 , 'tc_bool' ) ), Y ), T ) ) ), ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( X
% 0.87/1.27 , T, Z ) ) ] )
% 0.87/1.27 , clause( 695, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( Z, 'tc_bool' ) ), T ), X ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 T, Y ) ) ) ] )
% 0.87/1.27 , clause( 696, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 697, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 698, [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~(
% 0.87/1.27 hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( T, 'tc_bool' ) ), Z ), X ) )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 699, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 700, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 701, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 702, [ ~( 'class_Orderings_Opreorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), T ), Z ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), Y ), T ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 703, [ ~( 'class_Orderings_Oorder'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X
% 0.87/1.27 ), Y ), T ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( X ), T ), Z ) ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 704, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ] )
% 0.87/1.27 , clause( 705, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ] )
% 0.87/1.27 , clause( 706, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( X, T, Z ) ), ~(
% 0.87/1.27 'c_Hoare__Mirabelle_Ohoare__derivs'( T, Y, Z ) ) ] )
% 0.87/1.27 , clause( 707, [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Set_Oinsert'( Y, Z, X ) ) ) ] )
% 0.87/1.27 , clause( 708, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ) ] )
% 0.87/1.27 , clause( 709, [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.87/1.27 'tc_bool' ) ) ) ) ) ] )
% 0.87/1.27 , clause( 710, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Z, V0 ) ] )
% 0.87/1.27 , clause( 711, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( Y, W ) ] )
% 0.87/1.27 , clause( 712, [ ~( =( 'c_Hoare__Mirabelle_Otriple_Otriple'( X, Y, Z, T ),
% 0.87/1.27 'c_Hoare__Mirabelle_Otriple_Otriple'( U, W, V0, T ) ) ), =( X, U ) ] )
% 0.87/1.27 , clause( 713, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ] )
% 0.87/1.27 , clause( 714, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ] )
% 0.87/1.27 , clause( 715, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ] )
% 0.87/1.27 , clause( 716, [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ] )
% 0.87/1.27 , clause( 717, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Y ), Z ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Z ), Y ) ) ) ] )
% 0.87/1.27 , clause( 718, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 719, [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( X ), Z ), Y ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), Y ), Z ) ) ) ] )
% 0.87/1.27 , clause( 720, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.27 , clause( 721, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.27 Z, 'tc_bool' ) ), Y ), X ) ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), X ), Y ) ) ) ] )
% 0.87/1.27 , clause( 722, [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.87/1.27 X, 'tc_bool' ) ), Y ) ) ) ] )
% 0.87/1.27 , clause( 723, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.27 Y ), 'tc_bool' ) ), Y ) ] )
% 0.87/1.27 , clause( 724, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, Y, X ) ) ) ] )
% 0.87/1.27 , clause( 725, [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP(
% 0.87/1.27 'c_Set_Oinsert'( Z, X, T ), Y ) ) ) ] )
% 0.87/1.27 , clause( 726, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( X, Y, Z ) ) ] )
% 0.87/1.27 , clause( 727, [ ~( =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ) ) ) ] )
% 0.87/1.27 , clause( 728, [ ~( 'class_Orderings_Obot'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), 'c_Orderings_Obot__class_Obot'( X ) ), Y ) ) ] )
% 0.87/1.27 , clause( 729, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), Y ) )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 730, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), 'c_Set_Oinsert'( Z, T, X ) ) ), ~( hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( 'tc_fun'( X, 'tc_bool' ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 731, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X, 'tc_bool'
% 0.87/1.27 ) ), Y ), Z ) ), ~( hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'( X,
% 0.87/1.27 'tc_bool' ) ), 'c_Set_Oinsert'( T, Y, X ) ), Z ) ) ) ] )
% 0.87/1.27 , clause( 732, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ] )
% 0.87/1.27 , clause( 733, [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.87/1.27 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ] )
% 0.87/1.27 , clause( 734, [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( Y, 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X
% 0.87/1.27 , Z ) ] )
% 0.87/1.27 , clause( 735, [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL(
% 0.87/1.27 hAPP( Y, T ) ) ) ] )
% 0.87/1.27 , clause( 736, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, Y, Z ), ~( hBOOL(
% 0.87/1.27 hAPP( hAPP( 'c_lessequals'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( Z )
% 0.87/1.27 , 'tc_bool' ) ), Y ), X ) ) ) ] )
% 0.87/1.27 , clause( 737, [ ~( 'class_HOL_Oord'( X ) ), hBOOL( hAPP( hAPP(
% 0.87/1.27 'c_lessequals'( X ), hAPP( Y, Z ) ), hAPP( T, Z ) ) ), ~( hBOOL( hAPP(
% 0.87/1.27 hAPP( 'c_lessequals'( 'tc_fun'( U, X ) ), Y ), T ) ) ) ] )
% 0.87/1.27 , clause( 738, [ hBOOL( hAPP( hAPP( 'c_lessequals'( 'tc_fun'(
% 0.87/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ), 'v_G' ), 'v_Ga' )
% 0.87/1.27 ) ] )
% 0.87/1.27 , clause( 739, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga',
% 0.87/1.27 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P',
% 0.87/1.27 'c_Com_Ocom_OSKIP', 'v_P', 't_a' ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.27 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.27 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.87/1.27 , clause( 740, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X
% 0.87/1.27 , Y ) ), ~( 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ] )
% 0.87/1.27 , clause( 741, [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ),
% 0.87/1.27 ~( 'class_Lattices_Olattice'( Y ) ) ] )
% 0.87/1.27 , clause( 742, [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ),
% 0.87/1.27 ~( 'class_Lattices_Obounded__lattice'( Y ) ) ] )
% 0.87/1.27 , clause( 743, [ 'class_Lattices_Oboolean__algebra'( 'tc_fun'( X, Y ) ),
% 0.87/1.27 ~( 'class_Lattices_Oboolean__algebra'( Y ) ) ] )
% 0.87/1.27 , clause( 744, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ),
% 0.87/1.27 ~( 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.87/1.27 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ] )
% 0.87/1.27 , clause( 745, [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_Orderings_Opreorder'( Y ) ) ] )
% 0.87/1.27 , clause( 746, [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_Lattices_Olattice'( Y ) ) ] )
% 0.87/1.27 , clause( 747, [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_Orderings_Oorder'( Y ) ) ] )
% 0.87/1.27 , clause( 748, [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_Orderings_Obot'( Y ) ) ] )
% 0.87/1.27 , clause( 749, [ 'class_HOL_Ouminus'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_HOL_Ouminus'( Y ) ) ] )
% 0.87/1.27 , clause( 750, [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~(
% 0.87/1.27 'class_HOL_Ominus'( Y ) ) ] )
% 0.87/1.27 , clause( 751, [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'(
% 0.87/1.27 Y ) ) ] )
% 0.87/1.27 , clause( 752, [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 753, [ 'class_Orderings_Opreorder'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 754, [ 'class_Orderings_Olinorder'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 755, [ 'class_Lattices_Olattice'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 756, [ 'class_Orderings_Oorder'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 757, [ 'class_Orderings_Obot'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 758, [ 'class_HOL_Ominus'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 759, [ 'class_HOL_Oord'( 'tc_nat' ) ] )
% 0.87/1.27 , clause( 760, [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' )
% 0.87/1.27 ] )
% 0.87/1.27 , clause( 761, [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 762, [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 763, [ 'class_Lattices_Oboolean__algebra'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 764, [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 765, [ 'class_Orderings_Opreorder'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 766, [ 'class_Lattices_Olattice'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 767, [ 'class_Orderings_Oorder'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 768, [ 'class_Orderings_Obot'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 769, [ 'class_HOL_Ouminus'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 770, [ 'class_HOL_Ominus'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 771, [ 'class_HOL_Oord'( 'tc_bool' ) ] )
% 0.87/1.27 , clause( 772, [ hBOOL( hAPP( hAPP( 'c_fequal'( X ), Y ), Y ) ) ] )
% 0.87/1.27 , clause( 773, [ =( X, Y ), ~( hBOOL( hAPP( hAPP( 'c_fequal'( Z ), X ), Y )
% 0.87/1.27 ) ) ] )
% 0.87/1.27 ] ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 subsumption(
% 0.87/1.27 clause( 227, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.87/1.27 , clause( 606, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.87/1.27 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.27 )] ) ).
% 0.87/1.27
% 0.87/1.27
% 0.87/1.27 paramod(
% 0.87/1.27 clause( 1500, [ =( hAPP( 'c_fequal'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.87/1.27 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.87/1.28 , clause( 227, [ =( 'c_Collect'( X, Y ), X ) ] )
% 0.87/1.28 , 0, clause( 641, [ =( 'c_Collect'( hAPP( 'c_fequal'( X ), Y ), X ),
% 0.87/1.28 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.87/1.28 'tc_bool' ) ), X ) ) ] )
% 0.87/1.28 , 0, 1, substitution( 0, [ :=( X, hAPP( 'c_fequal'( X ), Y ) ), :=( Y, X )] )
% 0.87/1.28 , substitution( 1, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 eqswap(
% 0.87/1.28 clause( 1501, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.28 , clause( 1500, [ =( hAPP( 'c_fequal'( X ), Y ), 'c_Set_Oinsert'( Y,
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ] )
% 0.87/1.28 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 261, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.28 , clause( 1501, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 0.87/1.28 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 2381, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_fequal'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ) ), Z
% 0.87/1.28 ) ] )
% 0.87/1.28 , clause( 261, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.28 , 0, clause( 705, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, 'c_Set_Oinsert'(
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ),
% 0.87/1.28 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'(
% 0.87/1.28 Z ), 'tc_bool' ) ), 'tc_Hoare__Mirabelle_Otriple'( Z ) ), Z ) ] )
% 0.87/1.28 , 0, 2, substitution( 0, [ :=( X, 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.28 :=( Y, 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z
% 0.87/1.28 ) )] ), substitution( 1, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 293, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_fequal'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ) ), Z
% 0.87/1.28 ) ] )
% 0.87/1.28 , clause( 2381, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP( 'c_fequal'(
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ) ), Z
% 0.87/1.28 ) ] )
% 0.87/1.28 , substitution( 0, [ :=( X, X ), :=( Y, Y ), :=( Z, Z )] ),
% 0.87/1.28 permutation( 0, [ ==>( 0, 0 )] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 paramod(
% 0.87/1.28 clause( 3518, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', hAPP(
% 0.87/1.28 'c_fequal'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'c_Com_Ocom_OSKIP', 'v_P',
% 0.87/1.28 't_a' ) ), 't_a' ) ) ] )
% 0.87/1.28 , clause( 261, [ =( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( X, 'tc_bool' ) ), X ), hAPP( 'c_fequal'( X ), Y ) ) ] )
% 0.87/1.28 , 0, clause( 739, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga',
% 0.87/1.28 'c_Set_Oinsert'( 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P',
% 0.87/1.28 'c_Com_Ocom_OSKIP', 'v_P', 't_a' ), 'c_Orderings_Obot__class_Obot'(
% 0.87/1.28 'tc_fun'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ), 'tc_bool' ) ),
% 0.87/1.28 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ), 't_a' ) ) ] )
% 0.87/1.28 , 0, 3, substitution( 0, [ :=( X, 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) )
% 0.87/1.28 , :=( Y, 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'c_Com_Ocom_OSKIP'
% 0.87/1.28 , 'v_P', 't_a' ) )] ), substitution( 1, [] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 resolution(
% 0.87/1.28 clause( 3519, [] )
% 0.87/1.28 , clause( 3518, [ ~( 'c_Hoare__Mirabelle_Ohoare__derivs'( 'v_Ga', hAPP(
% 0.87/1.28 'c_fequal'( 'tc_Hoare__Mirabelle_Otriple'( 't_a' ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( 'v_P', 'c_Com_Ocom_OSKIP', 'v_P',
% 0.87/1.28 't_a' ) ), 't_a' ) ) ] )
% 0.87/1.28 , 0, clause( 293, [ 'c_Hoare__Mirabelle_Ohoare__derivs'( X, hAPP(
% 0.87/1.28 'c_fequal'( 'tc_Hoare__Mirabelle_Otriple'( Z ) ),
% 0.87/1.28 'c_Hoare__Mirabelle_Otriple_Otriple'( Y, 'c_Com_Ocom_OSKIP', Y, Z ) ), Z
% 0.87/1.28 ) ] )
% 0.87/1.28 , 0, substitution( 0, [] ), substitution( 1, [ :=( X, 'v_Ga' ), :=( Y,
% 0.87/1.28 'v_P' ), :=( Z, 't_a' )] )).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 subsumption(
% 0.87/1.28 clause( 318, [] )
% 0.87/1.28 , clause( 3519, [] )
% 0.87/1.28 , substitution( 0, [] ), permutation( 0, [] ) ).
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 end.
% 0.87/1.28
% 0.87/1.28 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 0.87/1.28
% 0.87/1.28 Memory use:
% 0.87/1.28
% 0.87/1.28 space for terms: 26753
% 0.87/1.28 space for clauses: 30738
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 clauses generated: 420
% 0.87/1.28 clauses kept: 319
% 0.87/1.28 clauses selected: 0
% 0.87/1.28 clauses deleted: 0
% 0.87/1.28 clauses inuse deleted: 0
% 0.87/1.28
% 0.87/1.28 subsentry: 8473
% 0.87/1.28 literals s-matched: 3545
% 0.87/1.28 literals matched: 3409
% 0.87/1.28 full subsumption: 577
% 0.87/1.28
% 0.87/1.28 checksum: 760374854
% 0.87/1.28
% 0.87/1.28
% 0.87/1.28 Bliksem ended
%------------------------------------------------------------------------------