TSTP Solution File: SWV579-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWV579-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 16:26:52 EDT 2022
% Result : Timeout 300.11s 300.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV579-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Tue Jun 14 22:58:48 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.89/1.24 *** allocated 10000 integers for termspace/termends
% 0.89/1.24 *** allocated 10000 integers for clauses
% 0.89/1.24 *** allocated 10000 integers for justifications
% 0.89/1.24 *** allocated 15000 integers for termspace/termends
% 0.89/1.24 Bliksem 1.12
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24 Automatic Strategy Selection
% 0.89/1.24
% 0.89/1.24 Clauses:
% 0.89/1.24 [
% 0.89/1.24 [ 'c_lessequals'( hAPP( X, Y ),
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.24 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T )
% 0.89/1.24 ) ) ],
% 0.89/1.24 [ 'c_Finite__Set_Ofinite'( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.24 ) ) ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, X, U, 'tc_fun'(
% 0.89/1.24 Z, 'tc_bool' ) ), Z ) ), ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.89/1.24 [ 'c_lessequals'( hAPP( X, Y ), Z, 'tc_fun'( T, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.24 'c_in'( Y, U, W ) ) ), ~( 'c_lessequals'(
% 0.89/1.24 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( U, X, W, 'tc_fun'(
% 0.89/1.24 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.24 [ =( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), Z ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( T, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( Y, T, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Y, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), Z ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool' ) ), T ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), T ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z
% 0.89/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), 'c_lessequals'( Y, Z, X )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_SetInterval_Oord__class_OatLeastAtMost'( T
% 0.89/1.25 , U, X ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ), 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( T, Y, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Y, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25 ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Set_Oinsert'( Z, T, U ), hAPP(
% 0.89/1.25 hAPP( X, Z ), W ), U, V0 ), ~( 'c_Finite__Set_Ofold__graph'( X, Y, T, W,
% 0.89/1.25 U, V0 ) ), hBOOL( 'c_in'( Z, T, U ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( T, Y, Z ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'(
% 0.89/1.25 T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( 'c_Set_Oinsert'( X, T,
% 0.89/1.25 Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( X
% 0.89/1.25 , 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ), hBOOL( 'c_in'(
% 0.89/1.25 T, X, Z ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.25 'c_in'( Y, X, T ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25 , Z ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), hBOOL(
% 0.89/1.25 'c_in'( Y, X, T ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, T, X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 , 'c_Finite__Set_Ofinite'( Z, T ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Z, Y, X
% 0.89/1.25 ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ),
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( Z, X ), X ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Y, X ) ), =( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z, Y, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ),
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Z, X ) ), =( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, U, X ), 'c_Finite__Set_Osetsum'( Y, T, U,
% 0.89/1.25 X ), X ) ), ~( 'c_lessequals'( T, Z, 'tc_fun'( U, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_lessequals'( X, Z, 'tc_fun'( Y
% 0.89/1.25 , 'tc_bool' ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( 'c_lessequals'( T, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( T
% 0.89/1.25 , Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( hAPP( Z, Y ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 Z, X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'( Z, Y ) )
% 0.89/1.25 , ~( 'c_lessequals'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( 'c_lessequals'( Z, X, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), ~( hBOOL( hAPP( Z, Y ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( Y, Z, 'tc_fun'( T, X ) ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_fun'( Y, 'tc_bool' ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, 'tc_fun'(
% 0.89/1.25 T, X ) ), 'c_lessequals'( Z, Y, 'tc_fun'( T, X ) ), ~( 'c_lessequals'( Y
% 0.89/1.25 , Z, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( T, U, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25 ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( U, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ), ~( 'c_lessequals'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), hBOOL( 'c_in'( T, X
% 0.89/1.25 , Z ) ), hBOOL( 'c_in'( T, Y, Z ) ), ~( 'c_HOL_Oord__class_Oless'( X,
% 0.89/1.25 'c_Set_Oinsert'( T, Y, Z ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( Y, X, T ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( Y, 'tc_bool' ) ), Y ) ),
% 0.89/1.25 ~( 'c_Finite__Set_Ofinite'( Z, Y ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, T
% 0.89/1.25 , X, U, Y, W ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Set_Ovimage'( X, Y, Z, T ), 'c_Set_Ovimage'( X, U,
% 0.89/1.25 Z, T ), 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, U, 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), =( X, Y )
% 0.89/1.25 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25 , ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z
% 0.89/1.25 , 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), Z ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( T, 'tc_bool' ) ) ), ~( 'c_lessequals'( Z
% 0.89/1.25 , X, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( Y, X, T ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_HOL_Oord'( X ) ), ~( 'c_lessequals'( Y, Z, 'tc_fun'( T, X )
% 0.89/1.25 ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_fun'( T, X ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), X, 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25 [ ~( 'class_Finite__Set_Ofinite_Ofinite'( X ) ), 'c_Finite__Set_Ofinite'(
% 0.89/1.25 Y, X ) ],
% 0.89/1.25 [ ~( 'class_HOL_Oord'( X ) ), 'c_lessequals'( hAPP( Y, Z ), hAPP( T, Z )
% 0.89/1.25 , X ), ~( 'c_lessequals'( Y, T, 'tc_fun'( U, X ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ),
% 0.89/1.25 ~( 'c_lessequals'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ =( X, Y ), ~( 'c_Finite__Set_Ofold__graph'( Z, Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), X, T, U ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'c_lessequals'( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), Y, 'tc_fun'( X, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofold__graph'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.25 [ 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, Z, T ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z )
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'( Y, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.25 'c_Set_Oinsert'( Z, X, Y ), Y ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Set_Oinsert'( X, Y, Z ), Z ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Y, Z ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_Set_Oinsert'( T, X, Z ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, X, Z ), 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Y ), ~( 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), X ), ~( 'c_lessequals'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), Y ) ), 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X
% 0.89/1.25 , 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( T, X, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 T, U, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, U, 'tc_fun'( Z, 'tc_bool' ) ) ), ~( 'c_lessequals'( X
% 0.89/1.25 , T, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( X, Y ), ~( 'c_Finite__Set_Ofinite'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.25 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25 [ 'c_Finite__Set_Ofinite'( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ), ~( 'c_Finite__Set_Ofinite'( Y, Z )
% 0.89/1.25 ), ~( 'c_Finite__Set_Ofinite'( X, Z ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.89/1.25 'c_Set_Oinsert'( Z, T, X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.25 Y ), U ), X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.89/1.25 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, U, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), ~( 'c_lessequals'( T, U, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Y, X ) ), ~( 'c_lessequals'( Z, U, X ) ),
% 0.89/1.25 ~( 'c_lessequals'( T, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~( 'c_lessequals'( U, Y, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( U, Y, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( T, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( 'c_lessequals'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( Z, X ), X ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 Z, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.89/1.25 Z, Y, X ) ) ), ~( 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), hBOOL( 'c_in'(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( Y, X ), Y, X ) ), =( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Y, X ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y, Z, T )
% 0.89/1.25 , T ), U ) ), hBOOL( 'c_in'( Y, Z, T ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.89/1.25 X, Y, Z, U, T, T ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, 'c_Set_Oinsert'( Z, T, U ), U, X ), hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, Z ) ),
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, T, U, X ) ) ), hBOOL( 'c_in'( Z, T, U ) ),
% 0.89/1.25 ~( 'c_Finite__Set_Ofinite'( T, U ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25 , T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ) ), hBOOL( 'c_in'( X, Z, T ) ), ~( hBOOL( 'c_in'( X, Y
% 0.89/1.25 , T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , T, X ) ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ominus__class_Ominus'( Z
% 0.89/1.25 , T, X ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_lessequals'( Y, Y, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Y, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_lessequals'( Y, Z, X ) )
% 0.89/1.25 , ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ),
% 0.89/1.25 =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 hAPP( Y, Z ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( T, Y
% 0.89/1.25 , U, X ), X ), ~( hBOOL( 'c_in'( Z, T, U ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), T, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, Y, Z,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ) ) ), =( hAPP( Y, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, X, Z ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, Y, Z ) ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( T, Y, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( 'c_HOL_Ominus__class_Ominus'( Y, Y, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), Y
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Y, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ), ~( =(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ), =( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Y ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ) )
% 0.89/1.25 , ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ) ) ), =( hAPP( Z, U ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( U, Y, T ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP(
% 0.89/1.25 Y, T ), X ) ), ~( hBOOL( 'c_in'( T, Z, U ) ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oring'( X ) ), =( 'c_Finite__Set_Osetsum'(
% 0.89/1.25 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U, 'tc_bool' ) ), U ), 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U, X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, U, X ), hAPP( Y, T ), X ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( T, Z, U ) ) ), ~( 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, T, X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( Y, U ) ), 'c_Finite__Set_Osetsum'(
% 0.89/1.25 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( U,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), T, X ) ) ), ~( hBOOL( 'c_in'( U, Z, T ) ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Z, T ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), 'c_Set_Oinsert'(
% 0.89/1.25 Y, Z, X ), X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 'c_Finite__Set_Ofold1'( 'c_HOL_Oplus__class_Oplus'( X ), Z, X ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( Y, Z, X ) ), ~( 'c_Finite__Set_Ofinite'( Z, X ) ), =( Z,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ), U ), 'tc_fun'( U, 'tc_bool' ) ), U, X ),
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, Z, U, X ) ), hBOOL( 'c_in'( T, Z, U ) ), ~(
% 0.89/1.25 'c_Finite__Set_Ofinite'( Z, U ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_Finite__Set_Ofold__graph'( 'c_HOL_Oplus__class_Oplus'( X ), Y,
% 0.89/1.25 'c_Set_Oinsert'( Z, 'c_HOL_Ominus__class_Ominus'( T, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), X ), U, X, X ), hBOOL( 'c_in'( Z, T, X ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( Y, T, X ) ) ), ~( 'c_Finite__Set_Ofold__graph'(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z, T, U, X, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( 't_b' ) ), =( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'v_f', 'v_g', 'tc_fun'(
% 0.89/1.25 't_a', 't_b' ) ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 hAPP( 'v_f', 'v_x' ), hAPP( 'v_g', 'v_x' ), 't_b' ) ) ],
% 0.89/1.25 [ 'c_Nitpick_Ofold__graph_H'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0 )
% 0.89/1.25 , ~( 'c_Nitpick_Ofold__graph_H'( X, Y, 'c_HOL_Ominus__class_Ominus'( Z,
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W,
% 0.89/1.25 'tc_bool' ) ), W ), 'tc_fun'( W, 'tc_bool' ) ), U, W, V0 ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( T, Z, W ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X,
% 0.89/1.25 Z ) ) ), ~( 'c_lessequals'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), ~( 'c_HOL_Oord__class_Oless'( X, Z, 'tc_fun'( T, 'tc_bool' ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ 'c_Finite__Set_Ofold__graph'( X, Y, Z, hAPP( hAPP( X, T ), U ), W, V0
% 0.89/1.25 ), ~( hBOOL( 'c_in'( T, Z, W ) ) ), ~( 'c_Finite__Set_Ofold__graph'( X,
% 0.89/1.25 Y, 'c_HOL_Ominus__class_Ominus'( Z, 'c_Set_Oinsert'( T,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( W, 'tc_bool' ) ), W ), 'tc_fun'(
% 0.89/1.25 W, 'tc_bool' ) ), U, W, V0 ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, Z, T ), 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), ~( hBOOL( 'c_in'( Y, X, T ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool'
% 0.89/1.25 ) ) ), hBOOL( 'c_in'( Y, Z, T ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool'
% 0.89/1.25 ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ), hBOOL( 'c_in'( Y, T, Z ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( X, 'c_Set_Oinsert'( Y, T, Z ), 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Finite__Set_Osetsum'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.25 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ), T, 'tc_nat' ),
% 0.89/1.25 'c_Finite__Set_Osetsum'( X, Y, T, 'tc_nat' ) ), hBOOL( 'c_in'( Z, Y, T )
% 0.89/1.25 ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( hAPP( X, Y ), Z, T ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Set_Ovimage'( X, Z, U, T ), U ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, Z, T, U ), T ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( hAPP( Y, X ), Z, U ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), hAPP( Z, T ) ) ), ~( hBOOL( 'c_in'( Y, T, U
% 0.89/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, Z, X, V0, V1, V2
% 0.89/1.25 , V3, V4, U ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, hAPP( Y, Z ) ), T ) ), ~( hBOOL( 'c_in'( T, Z, U
% 0.89/1.25 ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( Y, W, X, V0, V1, V2
% 0.89/1.25 , V3, V4, U ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'(
% 0.89/1.25 Y, Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ),
% 0.89/1.25 hBOOL( 'c_in'( X, T, Z ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T )
% 0.89/1.25 , X ), ~( 'c_lessequals'( U, T, X ) ), ~( 'c_lessequals'( Y, hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ),
% 0.89/1.25 ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, U, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, U, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add'( X ) ),
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), ~( =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ), =( Y, 'c_HOL_Ozero__class_Ozero'( X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ) ) )
% 0.89/1.25 , =( Z, 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'( Y, Z, X )
% 0.89/1.25 ), Z ), Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) )
% 0.89/1.25 , 'c_HOL_Ozero__class_Ozero'( X ) ), 'c_HOL_Ozero__class_Ozero'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Y ), Z ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ), X ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 Y, T, X ) ), 'c_HOL_Ominus__class_Ominus'( Z, U, X ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Omonoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), =( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), 'c_HOL_Ozero__class_Ozero'( X ) ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), 'c_HOL_Ozero__class_Ozero'( X ) ), Y ),
% 0.89/1.25 Y ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ogroup__add'( X ) ), =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Y ), Z ), Z, X ), Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Obot'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1
% 0.89/1.25 , Z, V2, Y ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) )
% 0.89/1.25 ), Z ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1
% 0.89/1.25 , V2, Z, Y ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( X, Y ) ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Z, Y ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( hBOOL( 'c_in'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Z ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, X, 'tc_fun'( Y, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.25 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, Y, Z ) ) ) ],
% 0.89/1.25 [ =( hAPP( X, Y ), Z ), ~( hBOOL( 'c_in'( Y, 'c_Set_Ovimage'( X,
% 0.89/1.25 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), U, T ), U ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Ovimage'( Y, 'c_Set_Oinsert'( hAPP( Y, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), T, Z ),
% 0.89/1.25 T ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.25 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Y ), hBOOL( 'c_in'( X, Y
% 0.89/1.25 , Z ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W, X, V0, V1, V2
% 0.89/1.25 , U, V3, V4, T ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, Z, T ) ), hAPP( hAPP( U, Y ), hAPP( X
% 0.89/1.25 , Z ) ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X, W, V0, V1, U,
% 0.89/1.25 V2, V3, V4, T ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), =( X, T ), ~( hBOOL( 'c_in'( X,
% 0.89/1.25 'c_Set_Oinsert'( T, Y, Z ), Z ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.25 X, Z, T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y, Z, T ), T ) ), ~( hBOOL( 'c_in'(
% 0.89/1.25 X, Z, T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ) ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Set_Oinsert'( X, T, Z ) ) ),
% 0.89/1.25 hBOOL( 'c_in'( X, T, Z ) ), hBOOL( 'c_in'( X, Y, Z ) ), =( Y, T ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, Y, Z ), Y ), ~( hBOOL( 'c_in'( X, Y, Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ),
% 0.89/1.25 ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ), 'c_Set_Oinsert'(
% 0.89/1.25 Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Y ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), ~( =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), Z ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ), ~(
% 0.89/1.25 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.25 Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 T, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( T,
% 0.89/1.25 Y, X ), Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), 'c_lessequals'( Y, Z,
% 0.89/1.25 X ), ~( 'c_lessequals'( 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 T, X ), Z, X ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), hBOOL( 'c_in'( X, T, Z ) ), ~( hBOOL(
% 0.89/1.25 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( T, Y, 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), Z ) ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, X, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ), Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y
% 0.89/1.25 , Z, 'tc_fun'( T, 'tc_bool' ) ), U, T ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X, Y, U, T
% 0.89/1.25 ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X, T, Z, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 Y, T, Z, 'tc_fun'( U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Z, T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), T ) ), ~( hBOOL( 'c_in'( X, Y, T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Obot'( X ) ), =( hAPP(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', X ) ), 'v_x' ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), X ), 'c_Orderings_Obot__class_Obot'( X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ hBOOL( 'c_in'( X, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), Y ),
% 0.89/1.25 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_HOL_Oord__class_Oless'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y
% 0.89/1.25 ), Z ), 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.25 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_HOL_Oord__class_Oless'( Z, Y, X ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Z, Y
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.25 [ hBOOL( hAPP( hAPP( X, Y ), Z ) ), 'c_HOL_Oord__class_Oless'( Y, Z,
% 0.89/1.25 'tc_nat' ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, 'tc_nat' ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( X, Y, 'tc_nat' ), 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 Y, X, 'tc_nat' ), =( Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), =( Z, Y ), 'c_HOL_Oord__class_Oless'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Z, Y, X ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__idom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), 'c_HOL_Oord__class_Oless'( Z, Y, X
% 0.89/1.25 ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 'c_Complete__Lattice_OInf__class_OInf'( Y, X ), Z, X ), ~( hBOOL( 'c_in'(
% 0.89/1.25 Z, Y, X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oordered__semidom'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Z ), T ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ =( 'c_The'( 'c_fequal'( X, Y ), Y ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( T, U, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_HOL_Oord__class_Oless'( T, U, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( U, T, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ), ~( =(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ominus__class_Ominus'( T
% 0.89/1.25 , U, X ) ) ), 'c_lessequals'( U, T, X ), ~( 'c_lessequals'( Z, Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Y, Z ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Y, Z ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ), ~( 'c_lessequals'( Y
% 0.89/1.25 , Z, X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( Y, Z ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, Z, X ) ), =( Z, Y ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), =( Z, Y ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( X
% 0.89/1.25 , Y, Z, 'tc_fun'( T, 'tc_bool' ) ), U ) ), ~( hBOOL( hAPP( hAPP( Y, W ),
% 0.89/1.25 U ) ) ), ~( hBOOL( 'c_in'( W, X, Z ) ) ) ],
% 0.89/1.25 [ ~( 'class_HOL_Ominus'( X ) ), =( hAPP( 'c_HOL_Ominus__class_Ominus'( Y
% 0.89/1.25 , Z, 'tc_fun'( 't_a', X ) ), 'v_x' ), 'c_HOL_Ominus__class_Ominus'( hAPP(
% 0.89/1.25 Y, 'v_x' ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.89/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, Z, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), U ) ), ~( hBOOL( 'c_in'( X, hAPP( Z, W ), U ) ) ), ~(
% 0.89/1.25 hBOOL( 'c_in'( W, Y, T ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_HOL_Ominus__class_Ominus'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Y, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Y, 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( hAPP( Y, X ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), ~( hBOOL( 'c_in'( Y, X, Z ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, T, X ) ),
% 0.89/1.25 ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T, X
% 0.89/1.25 ) ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ =( 'c_Finite__Set_Ofold1'( X, Y, Z ), 'c_The'(
% 0.89/1.25 'c_Finite__Set_Ofold1Set'( X, Y, Z ), Z ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( 'c_Set_Oinsert'( X, Y, Z ), T,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'(
% 0.89/1.25 Z, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( X, T, Z ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ), ~(
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ), X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( X ) )
% 0.89/1.25 , ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X )
% 0.89/1.25 , Z ), T ), X ), ~( 'c_lessequals'( Y, T, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_HOL_Ominus__class_Ominus'( Y, Z, 'tc_fun'( T
% 0.89/1.25 , 'tc_bool' ) ), U, T ), 'c_HOL_Ominus__class_Ominus'( 'c_Set_Ovimage'( X
% 0.89/1.25 , Y, U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U, 'tc_bool' ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ hBOOL( 'c_in'( X, Y, Z ) ), ~( hBOOL( 'c_in'( X,
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, T, 'tc_fun'( Z, 'tc_bool' ) ), Z ) ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( X, Y ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Z, X, T, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ) ), ~( hBOOL( 'c_in'( Y, Z, T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Y
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.25 [ ~( 'c_HOL_Oord__class_Oless'( X, X, 'tc_nat' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), 'c_lessequals'( Z, Y, X ), ~( 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ozero__class_Ozero'( X ), Y, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y, Z, X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, Z, X ), ~( 'c_lessequals'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( 'c_HOL_Ominus__class_Ominus'( Y, Z, X ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ), ~( 'c_HOL_Oord__class_Oless'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( Y, Z, X ), 'c_HOL_Ozero__class_Ozero'( X )
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ =( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 't_a', 'tc_bool' )
% 0.89/1.25 ), 'v_x' ), 'c_in'( 'v_x', 'c_Orderings_Obot__class_Obot'( 'tc_fun'(
% 0.89/1.25 't_a', 'tc_bool' ) ), 't_a' ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastAtMost'( Y
% 0.89/1.25 , Z, X ) ), 'c_lessequals'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Z, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, T, X )
% 0.89/1.25 ), ~( 'c_lessequals'( Z, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( Y, 'c_HOL_Ozero__class_Ozero'( X ), X ), ~(
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ),
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Y ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Y, X ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X ) ), ~( 'c_lessequals'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ), ~( 'c_lessequals'( T, Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, T
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( T, Z, X ) ), ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Opordered__comm__monoid__add'( X ) ),
% 0.89/1.25 'c_lessequals'( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ),
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ), ~( 'c_lessequals'( Z,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ), ~( 'c_lessequals'( Y,
% 0.89/1.25 'c_HOL_Ozero__class_Ozero'( X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_HOL_Oord__class_Oless'( Y, Z, X
% 0.89/1.25 ), ~( 'c_lessequals'( Y, T, X ) ), ~( 'c_HOL_Oord__class_Oless'( T, Z, X
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), 'c_lessequals'( Y, Z, X ), ~(
% 0.89/1.25 'c_lessequals'( Y, T, X ) ), ~( 'c_lessequals'( T, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( =(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =( 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ),
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Z, T, X ), 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, T,
% 0.89/1.25 X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, T, X ) ), ~( 'c_lessequals'( Y, Z
% 0.89/1.25 , X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =( 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, T, X ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( T, Z, X ) )
% 0.89/1.25 , ~( 'c_lessequals'( Y, T, X ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Set_Ovimage'( X, Y, Z, T ), U ) ), ~( hBOOL( hAPP( Y,
% 0.89/1.25 hAPP( X, U ) ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, hAPP( Y, Z ) ) ), ~( hBOOL( hAPP( 'c_Set_Ovimage'( Y,
% 0.89/1.25 X, T, U ), Z ) ) ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), 'c_lessequals'(
% 0.89/1.25 Y, 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ), ~( hBOOL( 'c_in'(
% 0.89/1.25 Y, Z, X ) ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Opreorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), 'c_lessequals'( Y, Z, X ),
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y
% 0.89/1.25 , Z, X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), ~( 'c_HOL_Oord__class_Oless'( Y, Z
% 0.89/1.25 , X ) ), ~( 'c_HOL_Oord__class_Oless'( Z, Y, X ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), T ), 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMin'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_Finite__Set_Ofold1Set'( Z,
% 0.89/1.25 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), T ), Y ) ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( 'c_in'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Olinorder__class_OMax'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, 'c_HOL_Ominus__class_Ominus'( Y,
% 0.89/1.25 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z ), 'tc_fun'( Z, 'tc_bool' ) ), Z ), 'c_Set_Oinsert'( X,
% 0.89/1.25 Y, Z ) ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ), hBOOL( 'c_in'( X, Y, Z ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( T, X, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ) ), Y ), ~(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice'( X, T, U, W, V0, V1, V2, V3, Z )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ =( 'c_The'( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.25 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( W
% 0.89/1.25 , X, V0, V1, V2, U, V3, V4, T ) ) ],
% 0.89/1.25 [ =( hAPP( X, 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( Z,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), T ) ),
% 0.89/1.25 hAPP( hAPP( U, Y ), Z ) ), ~( 'c_Complete__Lattice_Ocomplete__lattice'( X
% 0.89/1.25 , W, V0, V1, U, V2, V3, V4, T ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, Z, 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y, Z, T ),
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'c_HOL_Ominus__class_Ominus'(
% 0.89/1.25 'c_HOL_Ominus__class_Ominus'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T, 'tc_bool' ) ), T ), 'tc_fun'(
% 0.89/1.25 T, 'tc_bool' ) ), Z, 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ocontents'( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Y ), Y ), X )
% 0.89/1.25 ],
% 0.89/1.25 [ =( X, 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ),
% 0.89/1.25 ~( hBOOL( hAPP( 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), X ) ) ) ],
% 0.89/1.25 [ =( 'c_Finite__Set_Ofold1'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OatLeastAtMost'( Y, Y, X ), 'c_Set_Oinsert'( Y
% 0.89/1.25 , 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OInf__class_OInf'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ), X ), Y )
% 0.89/1.25 ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =(
% 0.89/1.25 'c_Finite__Set_Osetsum'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z, X ), 'c_HOL_Ozero__class_Ozero'( X ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, X,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ), T ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), Z, Y,
% 0.89/1.25 'tc_fun'( T, 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y, Z, X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( Z, X ), X ) ) ],
% 0.89/1.25 [ =( 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'(
% 0.89/1.25 'c_Set_Oinsert'( X, Y, Z ), T, Z, 'tc_fun'( U, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( T, X ),
% 0.89/1.25 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR'( Y, T, Z, 'tc_fun'(
% 0.89/1.25 U, 'tc_bool' ) ), 'tc_fun'( U, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( 't_a', X )
% 0.89/1.25 ), 'v_x' ), 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( Y, 'v_x'
% 0.89/1.25 ), hAPP( Z, 'v_x' ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.25 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), X ), 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanAtMost'( Y, Z, X ) ), ~(
% 0.89/1.25 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Olinorder'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), X ),
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ), 'tc_fun'( X
% 0.89/1.25 , 'tc_bool' ) ), 'c_SetInterval_Oord__class_OatLeastLessThan'( Y, Z, X )
% 0.89/1.25 ), ~( 'c_HOL_Oord__class_Oless'( Y, Z, X ) ) ],
% 0.89/1.25 [ ~( 'class_Orderings_Oorder'( X ) ), =(
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ) ), ~(
% 0.89/1.25 'c_lessequals'( Z, Y, X ) ) ],
% 0.89/1.25 [ 'c_HOL_Oord__class_Oless'( 'v_m', 'v_n', 'tc_nat' ) ],
% 0.89/1.25 [ =( 'c_GCD_Ogcd__class_OGCD'( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 0.89/1.25 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.25 [ =( 'c_GCD_Ogcd__class_OLCM'( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 0.89/1.25 'tc_nat' ), 'tc_nat' ), X ) ],
% 0.89/1.25 [ ~( 'class_Complete__Lattice_Ocomplete__lattice'( X ) ), =(
% 0.89/1.25 'c_Complete__Lattice_OSup__class_OSup'( 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), X ), X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( 'c_Set_Ovimage'( X, 'c_Set_Oinsert'( Y, Z, T ), U, T ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Ovimage'( X,
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ), U, T ), 'c_Set_Ovimage'( X, Z, U, T ), 'tc_fun'( U,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Set_Oinsert'( Y, Z, X ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), Y ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), =( Z, Y ), ~( hBOOL( hAPP( 'c_Set_Oinsert'( Z,
% 0.89/1.25 X, T ), Y ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( X, Y, Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( X, Y, Z ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X, Y
% 0.89/1.25 , Z ), T, 'tc_fun'( Z, 'tc_bool' ) ), 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), Z ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, 'c_Set_Oinsert'( Y
% 0.89/1.25 , Z, T ), 'tc_fun'( T, 'tc_bool' ) ), 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), T ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), ~( =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), U ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), T ), Z ) ) ), =( Y, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocancel__ab__semigroup__add'( X ) ), ~( =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Oidom'( X ) ), ~( 'class_Int_Onumber__ring'(
% 0.89/1.25 X ) ), ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ), =( Z, T ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), T ), U ) )
% 0.89/1.25 , hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), U ) ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), 'tc_fun'( X,
% 0.89/1.25 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( X, T ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( X, T ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( X, U ), =( Y, U ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ),
% 0.89/1.25 'c_Set_Oinsert'( T, 'c_Set_Oinsert'( U, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), Z ), Z ) ) ), =( Y, T ), =( Y, U ) ],
% 0.89/1.25 [ ~( hBOOL( hAPP( 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool'
% 0.89/1.25 ) ), Y ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ), X ), Y ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ), Y, X ), Y ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( X, 'tc_bool' ) ), Y, 'tc_fun'(
% 0.89/1.25 X, 'tc_bool' ) ), Y ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y, 'tc_bool' ) ), 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( Z, Y ) ), ~( hBOOL( hAPP(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, X, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), Y ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( Y, T ) ) ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ), T ) ), ~( hBOOL( hAPP( X, T ) ) ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, Y, Z ), 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add__join'( X ) ), =(
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Olordered__ab__group__add'( X ) ), =( hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ), T ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Y, X ), Y ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, X, 'tc_fun'( Y,
% 0.89/1.25 'tc_bool' ) ), X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__group__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Oab__semigroup__add'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), hAPP(
% 0.89/1.25 hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ), Z ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Z ), hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), Y ), T ) ) ) ],
% 0.89/1.25 [ ~( 'class_Ring__and__Field_Ocomm__semiring__1'( X ) ), =( hAPP( hAPP(
% 0.89/1.25 'c_HOL_Oplus__class_Oplus'( X ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'(
% 0.89/1.25 X ), Y ), Z ) ), T ), hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Y ),
% 0.89/1.25 hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( X ), Z ), T ) ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, 'c_Set_Oinsert'( Y, Z, T ), T ),
% 0.89/1.25 'c_Set_Oinsert'( Y, 'c_Set_Oinsert'( X, Z, T ), T ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), T, 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Z, 'tc_fun'( T,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( T, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, T, X ), X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), T, X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, T, X ), X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Set_Oinsert'( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Y
% 0.89/1.25 , 'tc_bool' ) ), Y ), 'c_Set_Oinsert'( Z, 'c_Orderings_Obot__class_Obot'(
% 0.89/1.25 'tc_fun'( Y, 'tc_bool' ) ), Y ) ) ), =( X, Z ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_Set_Oinsert'( X, Y, Z ), T ) ), ~( hBOOL( hAPP( Y, T )
% 0.89/1.25 ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Z,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Obounded__lattice'( X ) ), ~( =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ), =( Y,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( X ) ) ],
% 0.89/1.25 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25 ) ) ), =( X, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z
% 0.89/1.25 , 'tc_bool' ) ), 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' )
% 0.89/1.25 ) ) ), =( Y, 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'c_Lattices_Oupper__semilattice__class_Osup'( Y, X,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Z, Y, X ) ) ],
% 0.89/1.25 [ =( 'c_Set_Oinsert'( X, Y, Z ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( X,
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( Z, 'tc_bool' ) ), Z ), Y,
% 0.89/1.25 'tc_fun'( Z, 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Oupper__semilattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25 [ =( 'c_Lattices_Oupper__semilattice__class_Osup'( X,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ), 'tc_fun'( Z, 'tc_bool' ) ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( X, Y, 'tc_fun'( Z,
% 0.89/1.25 'tc_bool' ) ) ) ],
% 0.89/1.25 [ ~( 'class_Lattices_Olattice'( X ) ), =(
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y,
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ), X ),
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( Y, Z, X ) ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 't_a' ) ],
% 0.89/1.25 [ ~( =( hAPP( hAPP( 'c_HOL_Oplus__class_Oplus'( 't_a' ), hAPP( 'v_f',
% 0.89/1.25 'v_m' ) ), 'c_Finite__Set_Osetsum'( 'v_f',
% 0.89/1.25 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_m', 'v_n', 'tc_nat'
% 0.89/1.25 ), 'tc_nat', 't_a' ) ), 'c_Finite__Set_Osetsum'( 'v_f',
% 0.89/1.25 'c_Lattices_Oupper__semilattice__class_Osup'( 'c_Set_Oinsert'( 'v_m',
% 0.89/1.25 'c_Orderings_Obot__class_Obot'( 'tc_fun'( 'tc_nat', 'tc_bool' ) ),
% 0.89/1.25 'tc_nat' ), 'c_SetInterval_Oord__class_OgreaterThanLessThan'( 'v_m',
% 0.89/1.25 'v_n', 'tc_nat' ), 'tc_fun'( 'tc_nat', 'tc_bool' ) ), 'tc_nat', 't_a' ) )
% 0.89/1.25 ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'class_OrderedGroup_Oab__semigroup__add'( X ) ],
% 0.89/1.25 [ ~( 'class_OrderedGroup_Ocomm__monoid__add'( X ) ),
% 0.89/1.25 'class_OrderedGroup_Omonoid__add'( X ) ],
% 0.89/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Complete__Lattice_Ocomplete__lattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Obounded__lattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Finite__Set_Ofinite_Ofinite'( Y ) ), ~(
% 0.89/1.25 'class_Finite__Set_Ofinite_Ofinite'( X ) ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Orderings_Opreorder'( Y ) ) ],
% 0.89/1.25 [ 'class_Lattices_Olattice'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Lattices_Olattice'( Y ) ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_fun'( X, Y ) ), ~(
% 0.89/1.25 'class_Orderings_Oorder'( Y ) ) ],
% 0.89/1.25 [ 'class_Orderings_Obot'( 'tc_fun'( X, Y ) ), ~( 'class_Orderings_Obot'(
% 0.89/1.25 Y ) ) ],
% 0.89/1.25 [ 'class_HOL_Ominus'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Ominus'( Y ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_HOL_Oord'( 'tc_fun'( X, Y ) ), ~( 'class_HOL_Oord'( Y ) ) ]
% 0.89/1.25 ,
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add'( 'tc_nat' )
% 0.89/1.25 ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le'( 'tc_nat'
% 0.89/1.25 ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Opordered__comm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__ab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocancel__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Oordered__semidom'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Ring__and__Field_Ocomm__semiring__1'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Oab__semigroup__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Ocomm__monoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_OrderedGroup_Omonoid__add'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Olinorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Lattices_Olattice'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Orderings_Obot'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_HOL_Ominus'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_HOL_Oord'( 'tc_nat' ) ],
% 0.89/1.25 [ 'class_Complete__Lattice_Ocomplete__lattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Oupper__semilattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Obounded__lattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Finite__Set_Ofinite_Ofinite'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Opreorder'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Lattices_Olattice'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Oorder'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_Orderings_Obot'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_HOL_Ominus'( 'tc_bool' ) ],
% 0.89/1.25 [ 'class_HOL_Oord'( 'tc_bool' ) ],
% 0.89/1.25 [ hBOOL( hAPP( 'c_fequal'( X, Y ), X ) ) ],
% 0.89/1.25 [ =( X, Y ), ~( hBOOL( hAPP( 'c_fequal'( X, Z ), Y ) ) ) ]
% 0.89/1.25 ] .
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 percentage equality = 0.214286, percentage horn = 0.877996
% 0.89/1.25 This is a problem with some equality
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25
% 0.89/1.25 Options Used:
% 0.89/1.25
% 0.89/1.25 useres = 1
% 0.89/1.25 useparamod = 1
% 0.89/1.25 useeqrefl = 1
% 0.89/1.25 useeqfact = 1
% 0.89/1.25 usefactor = 1
% 0.89/1.25 usesimpsplitting = 0
% 0.89/1.25 usesimpdemod = 5
% 0.89/1.25 usesimpres = 3
% 0.89/1.25
% 0.89/1.25 resimpinuse = 1000
% 0.89/1.25 resimpclauses = 20000
% 0.89/1.25 substype = eqrewr
% 0.89/1.25 backwardsubs = 1
% 0.89/1.25 selectoldest = 5
% 0.89/1.25
% 0.89/1.25 litorderings [0] = split
% 0.89/1.25 litorderings [1] = extend the termordering, first sorting on arguments
% 0.89/1.25
% 0.89/1.25 termordering = kbo
% 0.89/1.25
% 0.89/1.25 litapriori = 0
% 0.89/1.25 termapriori = 1
% 0.89/1.25 litaposteriori = 0
% 0.89/1.25 termaposteriori = 0
% 0.89/1.25 demodaposteriori = 0
% 0.89/1.25 ordereqreflfact = 0
% 0.89/1.25
% 0.89/1.25 litselect = negord
% 0.89/1.25
% 0.89/1.25 maxweight = 15
% 0.89/1.25 maxdepth = 30000
% 0.89/1.25 maxlength = 115
% 0.89/1.25 maxnrvars = 195
% 0.89/1.25 excuselevel = 1
% 0.89/1.25 increasemaxweight = 1
% 0.89/1.25
% 0.89/1.25 maxselected = 10000000
% 0.89/1.25 maxnrclauses = 10000000
% 0.89/1.25
% 0.89/1.25 showgenerated = 0
% 0.89/1.25 showkept = 0
% 0.89/1.25 showselected = 0
% 0.89/1.25 showdeleted = 0
% 0.89/1.25 showresimp = 1
% 2.33/2.75 showstatus = 2000
% 2.33/2.75
% 2.33/2.75 prologoutput = 1
% 2.33/2.75 nrgoals = 5000000
% 2.33/2.75 totalproof = 1
% 2.33/2.75
% 2.33/2.75 Symbols occurring in the translation:
% 2.33/2.75
% 2.33/2.75 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.33/2.75 . [1, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.33/2.75 ! [4, 1] (w:0, o:65, a:1, s:1, b:0),
% 2.33/2.75 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.33/2.75 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.33/2.75 hAPP [41, 2] (w:1, o:130, a:1, s:1, b:0),
% 2.33/2.75 'tc_bool' [45, 0] (w:1, o:15, a:1, s:1, b:0),
% 2.33/2.75 'tc_fun' [46, 2] (w:1, o:131, a:1, s:1, b:0),
% 2.33/2.75 'c_Complete__Lattice_Ocomplete__lattice__class_OSUPR' [47, 4] (w:1
% 2.33/2.75 , o:155, a:1, s:1, b:0),
% 2.33/2.75 'c_lessequals' [48, 3] (w:1, o:143, a:1, s:1, b:0),
% 2.33/2.75 'c_in' [49, 3] (w:1, o:144, a:1, s:1, b:0),
% 2.33/2.75 hBOOL [50, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.33/2.75 'c_Finite__Set_Ofinite' [52, 2] (w:1, o:132, a:1, s:1, b:0),
% 2.33/2.75 'c_Orderings_Obot__class_Obot' [54, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.33/2.75 'c_Set_Oinsert' [55, 3] (w:1, o:145, a:1, s:1, b:0),
% 2.33/2.75 'class_Orderings_Olinorder' [56, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.33/2.75 'c_SetInterval_Oord__class_OatLeastLessThan' [59, 3] (w:1, o:146, a:1
% 2.33/2.75 , s:1, b:0),
% 2.33/2.75 'c_HOL_Oord__class_Oless' [61, 3] (w:1, o:147, a:1, s:1, b:0),
% 2.33/2.75 'c_HOL_Ominus__class_Ominus' [62, 3] (w:1, o:148, a:1, s:1, b:0),
% 2.33/2.75 'c_Lattices_Oupper__semilattice__class_Osup' [63, 3] (w:1, o:149, a:1
% 2.33/2.75 , s:1, b:0),
% 2.33/2.75 'class_Orderings_Oorder' [65, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.33/2.75 'c_SetInterval_Oord__class_OatLeastAtMost' [66, 3] (w:1, o:150, a:1
% 2.33/2.75 , s:1, b:0),
% 2.33/2.75 'c_Finite__Set_Ofold__graph' [70, 6] (w:1, o:158, a:1, s:1, b:0),
% 2.33/2.75 'class_OrderedGroup_Ocomm__monoid__add' [71, 1] (w:1, o:74, a:1, s:1
% 2.33/2.75 , b:0),
% 2.33/2.75 'c_Finite__Set_Osetsum' [72, 4] (w:1, o:156, a:1, s:1, b:0),
% 2.33/2.75 'c_HOL_Ozero__class_Ozero' [73, 1] (w:1, o:75, a:1, s:1, b:0),
% 2.33/2.75 'c_Finite__Set_Olinorder__class_OMin' [75, 2] (w:1, o:133, a:1, s:1
% 2.33/2.75 , b:0),
% 2.33/2.75 'c_Finite__Set_Olinorder__class_OMax' [77, 2] (w:1, o:134, a:1, s:1
% 2.33/2.75 , b:0),
% 2.33/2.75 'class_OrderedGroup_Oab__group__add' [78, 1] (w:1, o:76, a:1, s:1, b:
% 2.33/2.75 0),
% 2.33/2.75 'class_HOL_Oord' [82, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.33/2.75 'c_Set_Ovimage' [85, 4] (w:1, o:157, a:1, s:1, b:0),
% 2.33/2.75 'class_Finite__Set_Ofinite_Ofinite' [86, 1] (w:1, o:78, a:1, s:1, b:0
% 2.33/2.75 ),
% 2.33/2.75 'c_Nitpick_Ofold__graph_H' [87, 6] (w:1, o:159, a:1, s:1, b:0),
% 2.33/2.75 'c_HOL_Oplus__class_Oplus' [90, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.33/2.75 'c_Finite__Set_Ofold1Set' [91, 3] (w:1, o:151, a:1, s:1, b:0),
% 2.33/2.75 'class_Ring__and__Field_Oidom' [92, 1] (w:1, o:80, a:1, s:1, b:0),
% 2.33/2.75 'class_Int_Onumber__ring' [93, 1] (w:1, o:82, a:1, s:1, b:0),
% 2.33/2.75 'class_OrderedGroup_Ogroup__add' [94, 1] (w:1, o:83, a:1, s:1, b:0),
% 2.33/2.75
% 2.33/2.75 'class_OrderedGroup_Opordered__comm__monoid__add' [95, 1] (w:1, o:84
% 2.33/2.75 , a:1, s:1, b:0),
% 2.33/2.75 'class_OrderedGroup_Opordered__ab__semigroup__add__imp__le' [99, 1]
% 2.33/2.75 (w:1, o:85, a:1, s:1, b:0),
% 2.33/2.75 'class_Orderings_Opreorder' [100, 1] (w:1, o:86, a:1, s:1, b:0),
% 2.33/2.75 'class_Complete__Lattice_Ocomplete__lattice' [101, 1] (w:1, o:87, a:1
% 2.33/2.75 , s:1, b:0),
% 2.33/2.75 'c_SetInterval_Oord__class_OgreaterThanAtMost' [105, 3] (w:1, o:152
% 2.33/2.75 , a:1, s:1, b:0),
% 2.33/2.75 'class_Ring__and__Field_Oordered__idom' [108, 1] (w:1, o:88, a:1, s:1
% 2.33/2.75 , b:0),
% 2.33/2.75 'class_OrderedGroup_Olordered__ab__group__add' [109, 1] (w:1, o:89
% 2.33/2.75 , a:1, s:1, b:0),
% 2.33/2.75 'class_Ring__and__Field_Oring' [110, 1] (w:1, o:90, a:1, s:1, b:0),
% 2.33/2.75 'c_Finite__Set_Ofold1' [111, 3] (w:1, o:153, a:1, s:1, b:0),
% 2.33/2.75 't_b' [112, 0] (w:1, o:48, a:1, s:1, b:0),
% 2.33/2.75 'class_Lattices_Olattice' [113, 1] (w:1, o:91, a:1, s:1, b:0),
% 2.33/2.75 'v_f' [114, 0] (w:1, o:49, a:1, s:1, b:0),
% 2.33/2.75 'v_g' [115, 0] (w:1, o:50, a:1, s:1, b:0),
% 2.33/2.75 't_a' [116, 0] (w:1, o:47, a:1, s:1, b:0),
% 2.33/2.75 'v_x' [117, 0] (w:1, o:51, a:1, s:1, b:0),
% 2.33/2.75 'tc_nat' [118, 0] (w:1, o:52, a:1, s:1, b:0),
% 2.33/2.75 'c_Complete__Lattice_Ocomplete__lattice' [127, 9] (w:1, o:160, a:1
% 2.33/2.75 , s:1, b:0),
% 2.33/2.75 'class_OrderedGroup_Opordered__cancel__ab__semigroup__add' [128, 1]
% 2.33/2.75 (w:1, o:92, a:1, s:1, b:0),
% 2.33/2.75 'class_OrderedGroup_Opordered__ab__group__add' [129, 1] (w:1, o:93
% 11.72/12.11 , a:1, s:1, b:0),
% 11.72/12.11 'class_OrderedGroup_Opordered__ab__semigroup__add' [130, 1] (w:1, o:
% 11.72/12.11 94, a:1, s:1, b:0),
% 11.72/12.11 'class_OrderedGroup_Omonoid__add' [131, 1] (w:1, o:96, a:1, s:1, b:0)
% 11.72/12.11 ,
% 11.72/12.11 'class_Ring__and__Field_Ocomm__semiring__1' [132, 1] (w:1, o:97, a:1
% 11.72/12.11 , s:1, b:0),
% 11.72/12.11 'class_Orderings_Obot' [133, 1] (w:1, o:98, a:1, s:1, b:0),
% 11.72/12.11 'class_Lattices_Oupper__semilattice' [135, 1] (w:1, o:99, a:1, s:1
% 11.72/12.11 , b:0),
% 11.72/12.11 'c_Complete__Lattice_OSup__class_OSup' [136, 2] (w:1, o:135, a:1, s:1
% 11.72/12.11 , b:0),
% 11.72/12.11 'c_Nitpick_Osko__Nitpick__XEx1__def__1__3' [137, 2] (w:1, o:136, a:1
% 11.72/12.11 , s:1, b:0),
% 11.72/12.11 'c_Complete__Lattice_OInf__class_OInf' [139, 2] (w:1, o:137, a:1, s:1
% 11.72/12.11 , b:0),
% 11.72/12.11 'class_Ring__and__Field_Oordered__semidom' [140, 1] (w:1, o:100, a:1
% 11.72/12.11 , s:1, b:0),
% 11.72/12.11 'c_fequal' [141, 2] (w:1, o:138, a:1, s:1, b:0),
% 11.72/12.11 'c_The' [142, 2] (w:1, o:140, a:1, s:1, b:0),
% 11.72/12.11 'c_SetInterval_Oord__class_OgreaterThanLessThan' [143, 3] (w:1, o:154
% 11.72/12.11 , a:1, s:1, b:0),
% 11.72/12.11 'class_HOL_Ominus' [144, 1] (w:1, o:81, a:1, s:1, b:0),
% 11.72/12.11 'c_Set_Ocontents' [146, 2] (w:1, o:139, a:1, s:1, b:0),
% 11.72/12.11 'v_m' [147, 0] (w:1, o:58, a:1, s:1, b:0),
% 11.72/12.11 'v_n' [148, 0] (w:1, o:59, a:1, s:1, b:0),
% 11.72/12.11 'c_GCD_Ogcd__class_OGCD' [149, 2] (w:1, o:141, a:1, s:1, b:0),
% 11.72/12.11 'c_GCD_Ogcd__class_OLCM' [150, 2] (w:1, o:142, a:1, s:1, b:0),
% 11.72/12.11 'class_OrderedGroup_Ocancel__semigroup__add' [151, 1] (w:1, o:101, a:
% 11.72/12.11 1, s:1, b:0),
% 11.72/12.11 'class_OrderedGroup_Ocancel__ab__semigroup__add' [152, 1] (w:1, o:102
% 11.72/12.11 , a:1, s:1, b:0),
% 11.72/12.11 'class_Lattices_Obounded__lattice' [153, 1] (w:1, o:103, a:1, s:1, b:
% 11.72/12.11 0),
% 11.72/12.11 'class_OrderedGroup_Olordered__ab__group__add__join' [154, 1] (w:1
% 11.72/12.11 , o:95, a:1, s:1, b:0),
% 11.72/12.11 'class_OrderedGroup_Oab__semigroup__add' [155, 1] (w:1, o:104, a:1
% 11.72/12.11 , s:1, b:0).
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Starting Search:
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 5479
% 11.72/12.11 Kept: 2023
% 11.72/12.11 Inuse: 176
% 11.72/12.11 Deleted: 5
% 11.72/12.11 Deletedinuse: 0
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 15005
% 11.72/12.11 Kept: 4089
% 11.72/12.11 Inuse: 299
% 11.72/12.11 Deleted: 8
% 11.72/12.11 Deletedinuse: 1
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 21985
% 11.72/12.11 Kept: 6094
% 11.72/12.11 Inuse: 365
% 11.72/12.11 Deleted: 8
% 11.72/12.11 Deletedinuse: 1
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 30382
% 11.72/12.11 Kept: 8118
% 11.72/12.11 Inuse: 440
% 11.72/12.11 Deleted: 16
% 11.72/12.11 Deletedinuse: 7
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 40741
% 11.72/12.11 Kept: 11068
% 11.72/12.11 Inuse: 477
% 11.72/12.11 Deleted: 16
% 11.72/12.11 Deletedinuse: 7
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 49089
% 11.72/12.11 Kept: 14477
% 11.72/12.11 Inuse: 494
% 11.72/12.11 Deleted: 17
% 11.72/12.11 Deletedinuse: 7
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 57265
% 11.72/12.11 Kept: 16489
% 11.72/12.11 Inuse: 555
% 11.72/12.11 Deleted: 22
% 11.72/12.11 Deletedinuse: 11
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 67438
% 11.72/12.11 Kept: 18491
% 11.72/12.11 Inuse: 594
% 11.72/12.11 Deleted: 22
% 11.72/12.11 Deletedinuse: 11
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying clauses:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 75649
% 11.72/12.11 Kept: 20909
% 11.72/12.11 Inuse: 630
% 11.72/12.11 Deleted: 381
% 11.72/12.11 Deletedinuse: 11
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 82573
% 11.72/12.11 Kept: 23122
% 11.72/12.11 Inuse: 670
% 11.72/12.11 Deleted: 381
% 11.72/12.11 Deletedinuse: 11
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 89578
% 11.72/12.11 Kept: 25140
% 11.72/12.11 Inuse: 715
% 11.72/12.11 Deleted: 381
% 11.72/12.11 Deletedinuse: 11
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 96865
% 11.72/12.11 Kept: 27146
% 11.72/12.11 Inuse: 754
% 11.72/12.11 Deleted: 382
% 11.72/12.11 Deletedinuse: 12
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11 Resimplifying inuse:
% 11.72/12.11 Done
% 11.72/12.11
% 11.72/12.11
% 11.72/12.11 Intermediate Status:
% 11.72/12.11 Generated: 103616
% 11.72/12.11 Kept: 29147
% 11.72/12.11 Inuse: 788
% 11.72/12.11 Deleted: 382
% 11.72/12.11 Deletedinuse: 12
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 111662
% 125.77/126.20 Kept: 31278
% 125.77/126.20 Inuse: 805
% 125.77/126.20 Deleted: 382
% 125.77/126.20 Deletedinuse: 12
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 118943
% 125.77/126.20 Kept: 33296
% 125.77/126.20 Inuse: 855
% 125.77/126.20 Deleted: 382
% 125.77/126.20 Deletedinuse: 12
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 127665
% 125.77/126.20 Kept: 35486
% 125.77/126.20 Inuse: 870
% 125.77/126.20 Deleted: 383
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 137024
% 125.77/126.20 Kept: 37721
% 125.77/126.20 Inuse: 900
% 125.77/126.20 Deleted: 383
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 150717
% 125.77/126.20 Kept: 40905
% 125.77/126.20 Inuse: 924
% 125.77/126.20 Deleted: 384
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying clauses:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 170052
% 125.77/126.20 Kept: 44306
% 125.77/126.20 Inuse: 958
% 125.77/126.20 Deleted: 664
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 182259
% 125.77/126.20 Kept: 46306
% 125.77/126.20 Inuse: 1004
% 125.77/126.20 Deleted: 664
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 194331
% 125.77/126.20 Kept: 48480
% 125.77/126.20 Inuse: 1049
% 125.77/126.20 Deleted: 664
% 125.77/126.20 Deletedinuse: 13
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 219680
% 125.77/126.20 Kept: 51436
% 125.77/126.20 Inuse: 1074
% 125.77/126.20 Deleted: 665
% 125.77/126.20 Deletedinuse: 14
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 240439
% 125.77/126.20 Kept: 53801
% 125.77/126.20 Inuse: 1083
% 125.77/126.20 Deleted: 666
% 125.77/126.20 Deletedinuse: 14
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 251940
% 125.77/126.20 Kept: 57418
% 125.77/126.20 Inuse: 1090
% 125.77/126.20 Deleted: 667
% 125.77/126.20 Deletedinuse: 14
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 271068
% 125.77/126.20 Kept: 60887
% 125.77/126.20 Inuse: 1117
% 125.77/126.20 Deleted: 669
% 125.77/126.20 Deletedinuse: 16
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying clauses:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 282618
% 125.77/126.20 Kept: 62890
% 125.77/126.20 Inuse: 1124
% 125.77/126.20 Deleted: 1287
% 125.77/126.20 Deletedinuse: 16
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 290816
% 125.77/126.20 Kept: 65358
% 125.77/126.20 Inuse: 1133
% 125.77/126.20 Deleted: 1287
% 125.77/126.20 Deletedinuse: 16
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 302907
% 125.77/126.20 Kept: 67469
% 125.77/126.20 Inuse: 1162
% 125.77/126.20 Deleted: 1287
% 125.77/126.20 Deletedinuse: 16
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 317524
% 125.77/126.20 Kept: 69541
% 125.77/126.20 Inuse: 1197
% 125.77/126.20 Deleted: 1290
% 125.77/126.20 Deletedinuse: 19
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 326915
% 125.77/126.20 Kept: 71716
% 125.77/126.20 Inuse: 1226
% 125.77/126.20 Deleted: 1291
% 125.77/126.20 Deletedinuse: 19
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20 Resimplifying inuse:
% 125.77/126.20 Done
% 125.77/126.20
% 125.77/126.20
% 125.77/126.20 Intermediate Status:
% 125.77/126.20 Generated: 346428
% 125.77/126.20 Kept: 73740
% 125.77/126.20 Inuse: 1256
% 125.77/126.20 Deleted: 1291
% 125.77/126.20 Deletedinuse: 19
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 359926
% 125.77/126.21 Kept: 76073
% 125.77/126.21 Inuse: 1291
% 125.77/126.21 Deleted: 1292
% 125.77/126.21 Deletedinuse: 20
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 375467
% 125.77/126.21 Kept: 78261
% 125.77/126.21 Inuse: 1331
% 125.77/126.21 Deleted: 1292
% 125.77/126.21 Deletedinuse: 20
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 393229
% 125.77/126.21 Kept: 81251
% 125.77/126.21 Inuse: 1350
% 125.77/126.21 Deleted: 1293
% 125.77/126.21 Deletedinuse: 20
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying clauses:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 406541
% 125.77/126.21 Kept: 83256
% 125.77/126.21 Inuse: 1383
% 125.77/126.21 Deleted: 1697
% 125.77/126.21 Deletedinuse: 20
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 416272
% 125.77/126.21 Kept: 85262
% 125.77/126.21 Inuse: 1403
% 125.77/126.21 Deleted: 1697
% 125.77/126.21 Deletedinuse: 20
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21 Resimplifying inuse:
% 125.77/126.21 Done
% 125.77/126.21
% 125.77/126.21
% 125.77/126.21 Intermediate Status:
% 125.77/126.21 Generated: 433081
% 125.77/126.21 Kept: 87286
% 125.77/126.21 Inuse: 1439
% 125.77/126.21 Deleted: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------