TSTP Solution File: SCT121+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT121+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Mon Jul 18 21:01:24 EDT 2022
% Result : Timeout 300.02s 300.42s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SCT121+1 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n026.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 : Fri Jul 1 23:29:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.87/1.42 *** allocated 10000 integers for termspace/termends
% 0.87/1.42 *** allocated 10000 integers for clauses
% 0.87/1.42 *** allocated 10000 integers for justifications
% 0.87/1.42 *** allocated 15000 integers for termspace/termends
% 0.87/1.42 Bliksem 1.12
% 0.87/1.42
% 0.87/1.42
% 0.87/1.42 Automatic Strategy Selection
% 0.87/1.42
% 0.87/1.42 *** allocated 22500 integers for termspace/termends
% 0.87/1.42 *** allocated 33750 integers for termspace/termends
% 0.87/1.42 *** allocated 50625 integers for termspace/termends
% 0.87/1.42 *** allocated 75937 integers for termspace/termends
% 0.87/1.42
% 0.87/1.42 Clauses:
% 0.87/1.42
% 0.87/1.42 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.87/1.42 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.87/1.42 ) }.
% 0.87/1.42 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.87/1.42 skol2( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.87/1.42 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha1( X, Y,
% 0.87/1.42 Z, T ) }.
% 0.87/1.42 { c_member( Z, skol3( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.42 { ! alpha1( X, Y, Z, skol3( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X ) }
% 0.87/1.42 .
% 0.87/1.42 { ! alpha1( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha22( X, Z, T, U ) }.
% 0.87/1.42 { c_member( Z, skol4( U, Y, Z, W ), Y ), alpha1( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha22( X, Z, T, skol4( X, Y, Z, T ) ), alpha1( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha22( X, Y, Z, T ), Z = T, alpha32( X, Y, Z, T ) }.
% 0.87/1.42 { ! Z = T, alpha22( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha32( X, Y, Z, T ), alpha22( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha32( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.42 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.87/1.42 , Y, T, Z ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.87/1.42 alpha32( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.42 alpha32( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha2( X, Y, Z, T ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol5( X, Y ),
% 0.87/1.42 skol69( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.42 { ! alpha2( X, Y, skol5( X, Y ), skol69( X, Y ) ), c_Relation_Otrans( Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { ! alpha2( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, U ), X ), c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, U ), X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, skol6( X, Y, U
% 0.87/1.42 , T ) ), X ), alpha2( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, skol6( X, Y
% 0.87/1.42 , Z, T ) ), X ), alpha2( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, U ), X ), c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, U ), X ) }.
% 0.87/1.42 { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! Y = X, alpha48( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.87/1.42 { ! Y = X, alpha48( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.87/1.42 { ! alpha48( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! alpha48( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha48( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), ! Z = X }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), alpha23( X, Y, Z, T ) }.
% 0.87/1.42 { Z = X, ! alpha23( X, Y, Z, T ), c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omkbot
% 0.87/1.42 ( Y, X ) ) }.
% 0.87/1.42 { ! alpha23( X, Y, Z, T ), alpha3( X, Z, T ) }.
% 0.87/1.42 { ! alpha23( X, Y, Z, T ), alpha33( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha3( X, Z, T ), ! alpha33( X, Y, Z, T ), alpha23( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha33( X, Y, Z, T ), T = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.42 { ! T = X, alpha33( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , Y ), alpha33( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha3( X, Y, Z ), ! Z = X, ! Z = Y }.
% 0.87/1.42 { Z = X, alpha3( X, Y, Z ) }.
% 0.87/1.42 { Z = Y, alpha3( X, Y, Z ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), ! T = X }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), alpha24( X, Y, Z, T ) }.
% 0.87/1.42 { T = X, ! alpha24( X, Y, Z, T ), c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omktop
% 0.87/1.42 ( Y, X ) ) }.
% 0.87/1.42 { ! alpha24( X, Y, Z, T ), alpha4( X, Z, T ) }.
% 0.87/1.42 { ! alpha24( X, Y, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha4( X, Z, T ), ! alpha34( X, Y, Z, T ), alpha24( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha34( X, Y, Z, T ), Z = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.42 { ! Z = X, alpha34( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , Y ), alpha34( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha4( X, Y, Z ), ! Y = X, ! Z = Y }.
% 0.87/1.42 { Y = X, alpha4( X, Y, Z ) }.
% 0.87/1.42 { Z = Y, alpha4( X, Y, Z ) }.
% 0.87/1.42 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ),
% 0.87/1.42 c_Relation_Otrans( Z, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ), alpha5( X, Y,
% 0.87/1.42 Z ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Z, X ), ! alpha5( X, Y, Z ),
% 0.87/1.42 c_Order__Relation_Ostrict__linear__order__on( Z, Y, X ) }.
% 0.87/1.42 { ! alpha5( X, Y, Z ), c_Relation_Oirrefl( Z, X ) }.
% 0.87/1.42 { ! alpha5( X, Y, Z ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_Relation_Oirrefl( Z, X ), ! c_Relation_Ototal__on( Z, Y, X ), alpha5
% 0.87/1.42 ( X, Y, Z ) }.
% 0.87/1.42 { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun(
% 0.87/1.42 Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.87/1.42 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.87/1.42 ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.87/1.42 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.87/1.42 { ! c_FunDef_Oin__rel( U, T, Z, Y, X ), c_member( tc_prod( U, T ),
% 0.87/1.42 c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.87/1.42 c_FunDef_Oin__rel( U, T, Z, Y, X ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.87/1.42 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.87/1.42 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.87/1.42 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.87/1.42 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.87/1.42 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.87/1.42 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.87/1.42 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol7( X, Y ),
% 0.87/1.42 skol7( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol8( X, Y ),
% 0.87/1.42 skol70( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol70( X, Y ),
% 0.87/1.42 skol84( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol8( X, Y ),
% 0.87/1.42 skol84( X, Y ) ), X ), c_Relation_Otrans( Y, X ) }.
% 0.87/1.42 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.87/1.42 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.87/1.42 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ),
% 0.87/1.42 c_Relation_Oinv__image( Z, W, Y, X ) ), c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.87/1.42 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.87/1.42 , W, U, T ), c_Relation_Oinv__image( Z, W, Y, X ) ) }.
% 0.87/1.42 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.87/1.42 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.87/1.42 { c_Relation_Otrans( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( T, c_Relation_Oinv__image
% 0.87/1.42 ( Y, T, X, Z ) ) }.
% 0.87/1.42 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Omktop( X, Y ),
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.42 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Omkbot( X, Y ),
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.87/1.42 Y ), c_Product__Type_OPair( T, Y, Z, skol9( X, Y, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.87/1.42 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.87/1.42 ), c_Product__Type_OPair( Y, T, skol10( X, Y, Z, T ), Z ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.87/1.42 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.87/1.42 ( Z, Y, X ) ), ! U = T }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.87/1.42 ( Z, Y, X ) ), alpha35( X, Y, Z, T, U ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha35( X, Y, Z, T, U ),
% 0.87/1.42 c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Oabove( Z, Y, X ) ) }.
% 0.87/1.42 { ! alpha35( X, Y, Z, T, U ), alpha40( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha35( X, Y, Z, T, U ), alpha42( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha40( X, Y, Z, T, U ), ! alpha42( X, Y, Z, T, U ), alpha35( X, Y, Z
% 0.87/1.42 , T, U ) }.
% 0.87/1.42 { ! alpha42( X, Y, Z, T, U ), U = X, alpha44( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! U = X, alpha42( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha44( X, Y, Z, T, U ), alpha42( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha44( X, Y, Z, T, U ), alpha46( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha44( X, Y, Z, T, U ), alpha25( X, Z, T, U ) }.
% 0.87/1.42 { ! alpha46( X, Y, Z, T, U ), ! alpha25( X, Z, T, U ), alpha44( X, Y, Z, T
% 0.87/1.42 , U ) }.
% 0.87/1.42 { ! alpha46( X, Y, Z, T, U ), ! T = X, alpha6( Y, Z, U ) }.
% 0.87/1.42 { T = X, alpha46( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha6( Y, Z, U ), alpha46( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha40( X, Y, Z, T, U ), ! U = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, T ), Z ) }.
% 0.87/1.42 { U = X, alpha40( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, T )
% 0.87/1.42 , Z ), alpha40( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha25( X, Y, Z, T ), Z = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.42 { ! Z = X, alpha25( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , Y ), alpha25( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha6( X, Y, Z ), Z = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Z, X ), Y ) }.
% 0.87/1.42 { ! Z = X, alpha6( X, Y, Z ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Z, X )
% 0.87/1.42 , Y ), alpha6( X, Y, Z ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.87/1.42 ( Z, Y, X ) ), ! U = T }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.87/1.42 ( Z, Y, X ) ), alpha36( X, Y, Z, T, U ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha36( X, Y, Z, T, U ),
% 0.87/1.42 c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.87/1.42 , c_Arrow__Order__Mirabelle_Obelow( Z, Y, X ) ) }.
% 0.87/1.42 { ! alpha36( X, Y, Z, T, U ), alpha41( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha36( X, Y, Z, T, U ), alpha43( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha41( X, Y, Z, T, U ), ! alpha43( X, Y, Z, T, U ), alpha36( X, Y, Z
% 0.87/1.42 , T, U ) }.
% 0.87/1.42 { ! alpha43( X, Y, Z, T, U ), T = Y, alpha45( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! T = Y, alpha43( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha45( X, Y, Z, T, U ), alpha43( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha45( X, Y, Z, T, U ), alpha47( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha45( X, Y, Z, T, U ), alpha26( Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha47( X, Y, Z, T, U ), ! alpha26( Y, Z, T, U ), alpha45( X, Y, Z, T
% 0.87/1.42 , U ) }.
% 0.87/1.42 { ! alpha47( X, Y, Z, T, U ), ! U = Y, alpha7( X, Z, T ) }.
% 0.87/1.42 { U = Y, alpha47( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha7( X, Z, T ), alpha47( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha41( X, Y, Z, T, U ), ! T = Y, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, U, X ), Z ) }.
% 0.87/1.42 { T = Y, alpha41( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, X )
% 0.87/1.42 , Z ), alpha41( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! alpha26( X, Y, Z, T ), T = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.87/1.42 { ! T = X, alpha26( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.87/1.42 , Y ), alpha26( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha7( X, Y, Z ), Z = X, c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, X, Z ), Y ) }.
% 0.87/1.42 { ! Z = X, alpha7( X, Y, Z ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Z )
% 0.87/1.42 , Y ), alpha7( X, Y, Z ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Oabove( Z, Y, X ),
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.42 { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Obelow( Z, Y, X ),
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.87/1.42 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.87/1.42 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.87/1.42 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha8( X, Z, T, U, W
% 0.87/1.42 , V0 ) }.
% 0.87/1.42 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.87/1.42 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.87/1.42 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.87/1.42 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.87/1.42 { ! alpha8( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.87/1.42 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.87/1.42 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.87/1.42 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.87/1.42 { ! alpha8( X, Y, Z, T, U, W ), U = Z }.
% 0.87/1.42 { ! alpha8( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.87/1.42 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.87/1.42 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.87/1.42 , X ), alpha8( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.87/1.42 c_Product__Type_OPair( Z, Z, skol11( T, Y, Z ), skol11( T, Y, Z ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.87/1.42 , skol11( X, Y, Z ), X ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.87/1.42 ), c_Product__Type_OPair( Y, T, skol12( X, Y, Z, T ), Z ), X ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.87/1.42 Y ), c_Product__Type_OPair( T, Y, Z, skol13( X, Y, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.87/1.42 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Otrans( T, Z ),
% 0.87/1.42 c_Relation_Otrans( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y
% 0.87/1.42 , X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), c_Relation_Otrans( Z, X ) }
% 0.87/1.42 .
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Otrans( Z, X ),
% 0.87/1.42 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.42 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.87/1.42 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.42 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.87/1.42 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { ! c_member( Z, skol14( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.87/1.42 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol14( X, Y, Z )
% 0.87/1.42 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.87/1.42 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol15( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.87/1.42 .
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha9
% 0.87/1.42 ( Y, Z, T, U, W, skol15( X, Y, Z, T, U, W ) ) }.
% 0.87/1.42 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha9( Y, Z, T,
% 0.87/1.42 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.87/1.42 ) }.
% 0.87/1.42 { ! alpha9( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.87/1.42 , Y, V0, hAPP( W, V0 ) ) }.
% 0.87/1.42 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol16( X, V0, Z
% 0.87/1.42 , V1, U, V2 ), X ), Z ), alpha9( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol16( X, Y, Z, T, U, W ), hAPP( W,
% 0.87/1.42 skol16( X, Y, Z, T, U, W ) ) ), alpha9( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.42 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.42 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.87/1.42 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.42 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha10( X, Y, Z, T, U ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol17( X, Y, Z )
% 0.87/1.42 , skol71( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.42 { ! alpha10( X, Y, Z, skol17( X, Y, Z ), skol71( X, Y, Z ) ),
% 0.87/1.42 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.42 { ! alpha10( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.87/1.42 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.87/1.42 { ! U = skol18( W, V0, V1, V2, U ), alpha10( X, Y, Z, T, U ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol18( X, Y,
% 0.87/1.42 Z, T, U ) ), X ), alpha10( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.87/1.42 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.87/1.42 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.87/1.42 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.87/1.42 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.87/1.42 { ! hAPP( T, skol19( X, V0, V1, T, V2 ) ) = hAPP( X, skol19( X, V0, V1, T,
% 0.87/1.42 V2 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }
% 0.87/1.42 .
% 0.87/1.42 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol19( X, Y, Z,
% 0.87/1.42 T, W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.87/1.42 , Z, Y ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.87/1.42 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.87/1.42 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.42 { ! c_member( Z, skol20( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.87/1.42 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol20( X, Y, Z )
% 0.87/1.42 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol21( X, T
% 0.87/1.42 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, skol21( X, Y, Z ), Y ), X ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol22( X
% 0.87/1.42 , Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha11( Y, Z, T, U, W,
% 0.87/1.42 skol22( X, Y, Z, T, U, W ) ) }.
% 0.87/1.42 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha11( Y, Z, T, U, W, V0 ),
% 0.87/1.42 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.87/1.42 { ! alpha11( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.87/1.42 , Y, V0, hAPP( W, V0 ) ) }.
% 0.87/1.42 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol23( X, V0, Z
% 0.87/1.42 , V1, U, V2 ), X ), Z ), alpha11( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol23( X, Y, Z, T, U, W ), hAPP( W,
% 0.87/1.42 skol23( X, Y, Z, T, U, W ) ) ), alpha11( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol24( V0, V1,
% 0.87/1.42 V2, T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP
% 0.87/1.42 ( Y, X ), U ) ) }.
% 0.87/1.42 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol24( X, Y, Z, T, U, W ), hAPP( X,
% 0.87/1.42 skol24( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.87/1.42 ( hAPP( Y, X ), U ) ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol25( X, Y, Z )
% 0.87/1.42 , skol72( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol25( X, Y, Z )
% 0.87/1.42 , skol85( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.87/1.42 { ! skol72( X, Y, Z ) = skol85( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.87/1.42 , X ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.87/1.42 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.87/1.42 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.87/1.42 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.87/1.42 ) }.
% 0.87/1.42 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.87/1.42 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.87/1.42 c_Relation_OId( Y ) ) }.
% 0.87/1.42 { c_Relation_Otrans( X, c_Relation_OId( X ) ) }.
% 0.87/1.42 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.87/1.42 c_Relation_OId( Z ) ), Y = X }.
% 0.87/1.42 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.87/1.42 c_Relation_OId( Z ) ) }.
% 0.87/1.42 { c_Relation_ODomain( X, X, c_Relation_OId( X ) ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_ORange( X, X, c_Relation_OId( X ) ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_Orefl__on( X, c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.87/1.42 tc_HOL_Obool ) ), c_Relation_OId( X ) ) }.
% 0.87/1.42 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.42 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.87/1.42 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.87/1.42 ( Z, X ) ), Y = T }.
% 0.87/1.42 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.87/1.42 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.42 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.87/1.42 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.87/1.42 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.42 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ), c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.42 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.87/1.42 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { c_Relation_Otrans( Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.87/1.42 c_Product__Type_OPair( Y, Y, skol26( X, Y ), skol26( X, Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.42 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.87/1.42 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.87/1.42 skol27( X, T, U, W, V0, V1 ), skol73( X, T, U, W, V0, V1 ) ) ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.87/1.42 hAPP( V1, Z ), Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.42 hAPP( hAPP( V1, U ), T ) ), alpha49( X, W, V0, V1, skol27( X, T, U, W, V0
% 0.87/1.42 , V1 ), skol73( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! alpha49( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.87/1.42 { ! alpha49( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.87/1.42 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.87/1.42 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.87/1.42 skol28( X, Y, Z, T, U, W ), skol74( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.87/1.42 { ! alpha49( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol28( X, Y, Z, T
% 0.87/1.42 , U, W ) ), skol74( X, Y, Z, T, U, W ) ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.87/1.42 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.87/1.42 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.87/1.42 , V1 ) ), alpha49( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.42 hAPP( hAPP( V1, Z ), Y ) ), alpha50( X, Y, Z, W, V0, skol29( X, Y, Z, W,
% 0.87/1.42 V0, V1 ), skol75( X, Y, Z, W, V0, V1 ), skol86( X, Y, Z, W, V0, V1 ),
% 0.87/1.42 skol88( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.42 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol86( X, Y, Z, W, V0
% 0.87/1.42 , V1 ) ), skol88( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.87/1.42 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol29( X, Y, Z, W,
% 0.87/1.42 V0, V1 ) ), skol75( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.87/1.42 , T ) ) }.
% 0.87/1.42 { ! alpha50( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.87/1.42 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.87/1.42 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.87/1.42 , T, V1, V2 ) ), X ) }.
% 0.87/1.42 { ! alpha50( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.87/1.42 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.87/1.42 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.87/1.42 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.87/1.42 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.87/1.42 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.87/1.42 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha50( X
% 0.87/1.42 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.87/1.42 skol30( X, Y, Z, T, U, W, V0 ), skol76( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.87/1.42 .
% 0.87/1.42 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.87/1.42 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.87/1.42 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.87/1.42 c_Product__Type_OPair( V0, W, skol30( X, Y, Z, T, U, W, V0 ), skol76( X,
% 0.87/1.42 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol31( X, Z,
% 0.87/1.42 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.87/1.42 alpha51( X, T, U, skol31( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.87/1.42 { ! alpha51( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol32( U, W, Z, V0 ) ) ) }.
% 0.87/1.42 { ! alpha51( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.87/1.42 { ! alpha51( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.42 ( Y, Y, T, skol32( X, Y, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.87/1.42 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha51( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.87/1.42 ( hAPP( U, skol77( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.87/1.42 alpha52( X, Y, T, skol33( X, Y, T, U ), skol77( X, Y, T, U ) ), hBOOL(
% 0.87/1.42 hAPP( U, Z ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.87/1.42 hBOOL( hAPP( U, skol33( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.87/1.42 { ! alpha52( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.87/1.42 { ! alpha52( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.87/1.42 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha52( X, Y, Z, T, U ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.42 ), c_Product__Type_OPair( T, T, Z, skol34( X, U, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.42 ), c_Product__Type_OPair( T, T, skol34( X, Y, Z, T ), Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.42 ), c_Product__Type_OPair( T, T, Z, skol35( X, U, Z, T ) ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.42 ), c_Product__Type_OPair( T, T, skol35( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.87/1.42 tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.42 { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), skol36,
% 0.87/1.42 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.87/1.42 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.42 ), T = Y }.
% 0.87/1.42 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.42 ), Z = X }.
% 0.87/1.42 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.42 ), T = Y }.
% 0.87/1.42 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.87/1.42 ), Z = X }.
% 0.87/1.42 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.87/1.42 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Z, skol37( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair
% 0.87/1.42 ( Y, X, T, U ) ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol78( X, Y, Z ), skol87
% 0.87/1.42 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.87/1.42 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.87/1.42 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha12( X, Y, Z, T ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol38( X, Y ),
% 0.87/1.42 skol79( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.42 { ! alpha12( X, Y, skol38( X, Y ), skol79( X, Y ) ), c_Relation_Oantisym( Y
% 0.87/1.42 , X ) }.
% 0.87/1.42 { ! alpha12( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.42 alpha12( X, Y, Z, T ) }.
% 0.87/1.42 { ! Z = T, alpha12( X, Y, Z, T ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.87/1.42 ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.87/1.42 ), Y ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.87/1.42 ), Y ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.87/1.42 c_Relation_Oantisym( Y, X ) }.
% 0.87/1.42 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.87/1.42 ) = X }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.87/1.42 , X, Y ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { ! alpha37( X, Y, Z, T ), alpha13( X, Z, T ), alpha27( X, Y, T ) }.
% 0.87/1.42 { ! alpha13( X, Z, T ), alpha37( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha27( X, Y, T ), alpha37( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha37( X, Y, Z, T ), hBOOL( hAPP( X, skol39( X, U, W, V0 ) ) ) }.
% 0.87/1.42 { ! alpha37( X, Y, Z, T ), c_member( T, skol39( X, Y, Z, T ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha37( X, Y, Z, T )
% 0.87/1.42 }.
% 0.87/1.42 { ! alpha27( X, Y, Z ), hBOOL( hAPP( X, skol40( X, T, U ) ) ) }.
% 0.87/1.42 { ! alpha27( X, Y, Z ), c_member( Z, skol40( X, Y, Z ), Y ) }.
% 0.87/1.42 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha27( X, Y, Z ) }.
% 0.87/1.42 { ! alpha13( X, Y, Z ), hBOOL( hAPP( X, skol41( X, T, U ) ) ) }.
% 0.87/1.42 { ! alpha13( X, Y, Z ), c_member( Z, skol41( X, Y, Z ), Y ) }.
% 0.87/1.42 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha13( X, Y, Z ) }.
% 0.87/1.42 { ! alpha38( X, Y, Z, T ), alpha14( X, Z, T ) }.
% 0.87/1.42 { ! alpha38( X, Y, Z, T ), alpha28( X, Y, T ) }.
% 0.87/1.42 { ! alpha14( X, Z, T ), ! alpha28( X, Y, T ), alpha38( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha38( X, Y, Z, T ), ! c_member( T, U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( X, skol42( X, U, W, V0 ) ) ), alpha38( X, Y, Z, T ) }.
% 0.87/1.42 { c_member( T, skol42( X, Y, Z, T ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ) ), alpha38( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha28( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( X, skol43( X, T, U ) ) ), alpha28( X, Y, Z ) }.
% 0.87/1.42 { c_member( Z, skol43( X, Y, Z ), Y ), alpha28( X, Y, Z ) }.
% 0.87/1.42 { ! alpha14( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( X, skol44( X, T, U ) ) ), alpha14( X, Y, Z ) }.
% 0.87/1.42 { c_member( Z, skol44( X, Y, Z ), Y ), alpha14( X, Y, Z ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.87/1.42 ), X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.87/1.42 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.42 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.87/1.42 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.42 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.87/1.42 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.87/1.42 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { c_Transitive__Closure_Otrancl( Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.42 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.87/1.42 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.87/1.42 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.87/1.42 c_Relation_ODomain( Y, Y, X ) }.
% 0.87/1.42 { c_Relation_Otrans( Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), c_Transitive__Closure_Otrancl( Y, X ) = X }
% 0.87/1.42 .
% 0.87/1.42 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.87/1.42 c_Relation_ORange( Y, Y, X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.87/1.42 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.87/1.42 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.42 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.87/1.42 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), c_Relation_Otrans( Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha15( X, Y, Z, T ) }
% 0.87/1.42 .
% 0.87/1.42 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! alpha15( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.87/1.42 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! alpha15( X, Y, Z, T ), ! Z = Y }.
% 0.87/1.42 { ! alpha15( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.87/1.42 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), alpha15( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.87/1.42 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.87/1.42 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.87/1.42 , X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.87/1.42 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.87/1.42 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.87/1.42 .
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.87/1.42 ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.87/1.42 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.87/1.42 Z, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.87/1.42 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, skol80( X, U, W, V0 ), skol45( X, W, V0, U )
% 0.87/1.42 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), ! skol80( X, U, W, V0 ) = skol45( X, W, V0, U
% 0.87/1.42 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, skol45( X, Y, Z, U ), Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, skol46( X, W, V0, U ), skol81( X, U, W, V0 )
% 0.87/1.42 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), ! skol46( X, W, V0, U ) = skol81( X, U, W, V0
% 0.87/1.42 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, T, skol46( X, Y, T, U ) ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.87/1.42 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.42 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.42 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.42 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.42 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.87/1.42 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.87/1.42 ( Z, Y, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.87/1.42 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.87/1.42 , Y, X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, skol47( X, U, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, skol47( X, Y, Z, T ), Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, skol48( X, U, Z, T ) ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, skol48( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol49( X, Y ),
% 0.87/1.42 skol49( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.87/1.42 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.42 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.87/1.42 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol50( X, Y ),
% 0.87/1.42 skol82( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol82( X, Y ),
% 0.87/1.42 skol50( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.42 { ! skol50( X, Y ) = skol82( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol51( X, Y ),
% 0.87/1.42 skol51( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.87/1.42 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.87/1.42 c_Order__Relation_Ostrict__linear__order__on( Z, Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.42 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.87/1.42 ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.87/1.42 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.87/1.42 c_Relation_ORange( Y, Y, X ) ) }.
% 0.87/1.42 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol52( X, Y ),
% 0.87/1.42 skol52( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.87/1.42 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.87/1.42 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.87/1.42 }.
% 0.87/1.42 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.87/1.42 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.87/1.42 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.87/1.42 c_Relation_ODomain( U, T, X ) ) }.
% 0.87/1.42 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.87/1.42 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.42 c_Relation_ORange( U, T, X ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.87/1.42 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.87/1.42 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.87/1.42 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.87/1.42 }.
% 0.87/1.42 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.42 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.42 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.87/1.42 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.87/1.42 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.87/1.42 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.87/1.42 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.42 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.42 c_Set_Oinsert( T, Z, X ) ) }.
% 0.87/1.42 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun(
% 0.87/1.42 U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ),
% 0.87/1.42 hAPP( Z, Y ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.42 , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( Y, c_Groups_Ominus__class_Ominus( tc_fun
% 0.87/1.42 ( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.87/1.42 { ! c_Relation_Ototal__on( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun(
% 0.87/1.42 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Relation_OId( Z ) ) ),
% 0.87/1.42 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.42 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.42 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.87/1.42 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.87/1.42 { c_Relation_Oirrefl( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y
% 0.87/1.42 , Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Oantisym( Y, X ),
% 0.87/1.42 c_Relation_Otrans( Y, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Y,
% 0.87/1.42 Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.87/1.42 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.87/1.42 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, skol53( X, U, Z, T ) ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, skol53( X, Y, Z, T ), Y ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, skol54( X, U, Z, T ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.87/1.42 c_Product__Type_OPair( T, T, skol54( X, Y, Z, T ), Y ),
% 0.87/1.42 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ),
% 0.87/1.42 c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod(
% 0.87/1.42 Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.42 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.87/1.42 , Y ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.87/1.42 = X }.
% 0.87/1.42 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.42 ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, c_Relation_Oinv__image
% 0.87/1.42 ( Y, T, X, Z ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.87/1.42 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.87/1.42 .
% 0.87/1.42 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.42 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.87/1.42 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.87/1.42 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.87/1.42 X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.87/1.42 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.87/1.42 , Y ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.87/1.42 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.87/1.42 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.87/1.42 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.87/1.42 , Y ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.87/1.42 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.87/1.42 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.42 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.87/1.42 tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.87/1.42 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.87/1.42 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.42 hAPP( Y, U ) ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.87/1.42 ( Z, skol55( X, Y, Z ) ), hAPP( Y, skol55( X, Y, Z ) ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.87/1.42 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.42 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.87/1.42 , Y ) }.
% 0.87/1.42 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.87/1.42 , Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.87/1.42 = Y }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.87/1.42 ( X, Z, Y ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.87/1.42 ( X, Y, Z ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.87/1.42 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) }.
% 0.87/1.42 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.87/1.42 , Y ) }.
% 0.87/1.42 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.42 hAPP( Y, U ) ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.87/1.42 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.87/1.42 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.87/1.42 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.87/1.42 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) }.
% 0.87/1.42 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.87/1.42 , Y ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.87/1.42 hAPP( Y, U ) ) }.
% 0.87/1.42 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.87/1.42 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.87/1.42 X ) ) }.
% 0.87/1.42 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.87/1.42 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.87/1.42 ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { c_member( Y, skol56( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.87/1.42 c_member( Y, Z, X ) }.
% 0.87/1.42 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.87/1.42 Y, skol57( X, Y ), X ) }.
% 0.87/1.42 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.87/1.42 c_member( X, Z, Y ) }.
% 0.87/1.42 { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = X }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 Y, X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = X }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) = X }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.87/1.42 ), X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.87/1.42 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 X, T ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.87/1.42 .
% 0.87/1.42 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.87/1.42 c_Set_Oinsert( Z, Y, X ) }.
% 0.87/1.42 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.87/1.42 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.87/1.42 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 alpha16( X, Y, Z, T ), alpha29( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha16( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! alpha29( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! alpha29( X, Y, Z, T ), T = X }.
% 0.87/1.42 { ! alpha29( X, Y, Z, T ), Z = Y }.
% 0.87/1.42 { ! T = X, ! Z = Y, alpha29( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha16( X, Y, Z, T ), T = Y }.
% 0.87/1.42 { ! alpha16( X, Y, Z, T ), Z = X }.
% 0.87/1.42 { ! T = Y, ! Z = X, alpha16( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.87/1.42 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.87/1.42 { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.87/1.42 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.87/1.42 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.87/1.42 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.87/1.42 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.87/1.42 c_Relation_Oantisym( Z, Y ) }.
% 0.87/1.42 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.87/1.42 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.87/1.42 Y, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.87/1.42 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.87/1.42 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.87/1.42 , X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ), alpha17( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ), alpha30( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha17( X, Y, Z, T ), ! alpha30( X, Y, Z, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ) }.
% 0.87/1.42 { ! alpha30( X, Y, Z, T ), c_member( T, Y, Z ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.87/1.42 { ! c_member( T, Y, Z ), alpha30( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ),
% 0.87/1.42 alpha30( X, Y, Z, T ) }.
% 0.87/1.42 { ! alpha17( X, Y, Z, T ), ! c_member( T, Y, Z ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), X ) }.
% 0.87/1.42 { c_member( T, Y, Z ), alpha17( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), X ), alpha17( X, Y, Z, T ) }.
% 0.87/1.42 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ), X ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.87/1.42 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.87/1.42 ( X ), Y ) = Y }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.87/1.42 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.87/1.42 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.87/1.42 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.87/1.42 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.87/1.42 .
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! c_member( Y, skol58( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.87/1.42 c_Wellfounded_Owf( Y, X ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.87/1.42 }.
% 0.87/1.42 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.87/1.42 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.87/1.42 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.42 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.87/1.42 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), X ) }.
% 0.87/1.42 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.87/1.42 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.87/1.42 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.42 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus
% 0.87/1.42 ( tc_fun( Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = X }.
% 0.87/1.42 { c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, X ), c_Set_Oinsert( Z, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) = X }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ),
% 0.87/1.42 c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.87/1.42 ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Owell__order__on( Z, Y, X ),
% 0.87/1.42 c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.87/1.42 { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.87/1.42 , c_Relation_OId( Z ) ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.87/1.42 , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.87/1.42 , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.87/1.42 { ! c_member( Z, Y, X ), ! c_Nitpick_Ofold__graph_H( Z, V0, W, U,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.87/1.42 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), T ), c_Nitpick_Ofold__graph_H( Z, V0, W, U, X, hAPP
% 0.87/1.42 ( hAPP( W, Y ), T ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.87/1.42 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.42 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.87/1.42 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.87/1.42 , X, U ) ) }.
% 0.87/1.42 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.87/1.42 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.87/1.42 tc_HOL_Obool ), Y, Z ) }.
% 0.87/1.42 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.87/1.42 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.87/1.42 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.87/1.42 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.42 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.87/1.42 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.87/1.42 { c_Nitpick_Ofold__graph_H( T, Z, Y, X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ) ), X ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.87/1.42 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.87/1.42 .
% 0.87/1.42 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol59
% 0.87/1.42 ( X, W, Z, V0, V1 ), X ) }.
% 0.87/1.42 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.87/1.42 , U ), c_Product__Type_OPair( Z, U, skol59( X, Y, Z, T, U ), T ), Y ) }.
% 0.87/1.42 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.87/1.42 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.87/1.42 .
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.87/1.42 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.87/1.42 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.87/1.42 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.87/1.42 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.87/1.42 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.87/1.42 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.87/1.42 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.87/1.42 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.87/1.42 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.87/1.42 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.87/1.42 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.87/1.42 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y, X, T ) ), !
% 0.87/1.42 c_member( Y, U, Z ), alpha18( X, Y, T, U ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), c_member( Y, skol60
% 0.87/1.42 ( U, Y, Z, W ), Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.87/1.42 , X, T ) ) }.
% 0.87/1.42 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.87/1.42 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), ! alpha18( X, Y, T,
% 0.87/1.42 skol60( X, Y, Z, T ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.87/1.42 , X, T ) ) }.
% 0.87/1.42 { ! alpha18( X, Y, Z, T ), c_member( Y, skol61( U, Y, Z, W ), Z ) }.
% 0.87/1.42 { ! alpha18( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.42 ( Y, Y, skol61( X, Y, Z, T ), T ), X ) }.
% 0.87/1.42 { ! c_member( Y, U, Z ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.87/1.42 ( Y, Y, U, T ), X ), alpha18( X, Y, Z, T ) }.
% 0.87/1.42 { c_Wellfounded_Owf( Y, c_Wellfounded_Omeasure( Y, X ) ) }.
% 0.87/1.42 { ! c_Nitpick_Ofold__graph_H( V0, W, U, T, Z, hAPP( hAPP( U, Y ), X ) ),
% 0.87/1.42 alpha19( X, Y, Z, T, U, V0 ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.42 { ! alpha19( X, Y, Z, T, U, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T, Z
% 0.87/1.42 , hAPP( hAPP( U, Y ), X ) ) }.
% 0.87/1.42 { ! alpha31( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( V0, W, U, T
% 0.87/1.42 , Z, hAPP( hAPP( U, Y ), X ) ) }.
% 0.87/1.42 { ! alpha31( X, Y, Z, T, U, W, V0 ), hAPP( hAPP( U, Y ), X ) = hAPP( hAPP(
% 0.87/1.42 U, skol62( X, Y, Z, T, U, W, V0 ) ), skol83( X, Y, Z, T, U, W, V0 ) ) }.
% 0.87/1.42 { ! alpha31( X, Y, Z, T, U, W, V0 ), alpha39( Z, T, U, W, V0, skol62( X, Y
% 0.87/1.42 , Z, T, U, W, V0 ), skol83( X, Y, Z, T, U, W, V0 ) ) }.
% 0.87/1.42 { ! hAPP( hAPP( U, Y ), X ) = hAPP( hAPP( U, V1 ), V2 ), ! alpha39( Z, T, U
% 0.87/1.42 , W, V0, V1, V2 ), alpha31( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.42 { ! alpha39( X, Y, Z, T, U, W, V0 ), c_member( U, W, X ) }.
% 0.87/1.42 { ! alpha39( X, Y, Z, T, U, W, V0 ), c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.87/1.42 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), V0 ) }.
% 0.87/1.42 { ! c_member( U, W, X ), ! c_Nitpick_Ofold__graph_H( U, T, Z, Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( U, tc_HOL_Obool ), X,
% 0.87/1.42 c_Set_Oinsert( U, W, c_Orderings_Obot__class_Obot( tc_fun( U,
% 0.87/1.42 tc_HOL_Obool ) ) ) ), V0 ), alpha39( X, Y, Z, T, U, W, V0 ) }.
% 0.87/1.42 { ! alpha19( X, Y, Z, T, U, W ), Z = c_Orderings_Obot__class_Obot( tc_fun(
% 0.87/1.42 W, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! alpha19( X, Y, Z, T, U, W ), hAPP( hAPP( U, Y ), X ) = T }.
% 0.87/1.42 { ! Z = c_Orderings_Obot__class_Obot( tc_fun( W, tc_HOL_Obool ) ), ! hAPP(
% 0.87/1.42 hAPP( U, Y ), X ) = T, alpha19( X, Y, Z, T, U, W ) }.
% 0.87/1.42 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.42 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.42 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { ! class_Groups_Oordered__ab__group__add( X ), !
% 0.87/1.42 c_Groups_Ominus__class_Ominus( X, U, T ) = c_Groups_Ominus__class_Ominus
% 0.87/1.42 ( X, Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, U, T ) }.
% 0.87/1.42 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.87/1.42 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! U = T, Z = Y }.
% 0.87/1.42 { ! class_Groups_Oab__group__add( X ), ! c_Groups_Ominus__class_Ominus( X,
% 0.87/1.42 U, T ) = c_Groups_Ominus__class_Ominus( X, Z, Y ), ! Z = Y, U = T }.
% 0.87/1.42 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol63
% 0.87/1.42 ( X, W, Z, V0, V1 ), X ) }.
% 0.87/1.42 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.87/1.42 , U ), c_Product__Type_OPair( Z, U, skol63( X, Y, Z, T, U ), T ), Y ) }.
% 0.87/1.42 { hBOOL( hAPP( Z, skol64( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.87/1.42 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, hAPP( X, skol64( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.87/1.42 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), !
% 0.87/1.42 c_member( Z, U, Y ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z
% 0.87/1.42 , Z, T, U ), X ) }.
% 0.87/1.42 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.87/1.42 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.87/1.42 Z, T, c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, U, T ), X ), c_Relation_OImage( Y, Y, X,
% 0.87/1.42 c_Set_Oinsert( Y, U, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ), !
% 0.87/1.42 c_Equiv__Relations_Oequiv( T, U, Z ), ! c_member( T, X, U ), c_member(
% 0.87/1.42 tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, X ), Z ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.87/1.42 ( Z, U, Y ), ! c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), c_member(
% 0.87/1.42 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.87/1.42 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.87/1.42 , U ), X ), c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.87/1.42 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, U, T ), X ), c_Relation_OImage( Z, Z, X,
% 0.87/1.42 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.87/1.42 c_Product__Type_OPair( Z, Z, U, T ), X ), alpha20( Y, Z, T, U ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_Relation_OImage( Z, Z, X,
% 0.87/1.42 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), ! alpha20
% 0.87/1.42 ( Y, Z, T, U ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U
% 0.87/1.42 , T ), X ) }.
% 0.87/1.42 { ! alpha20( X, Y, Z, T ), c_member( Y, T, X ) }.
% 0.87/1.42 { ! alpha20( X, Y, Z, T ), c_member( Y, Z, X ) }.
% 0.87/1.42 { ! c_member( Y, T, X ), ! c_member( Y, Z, X ), alpha20( X, Y, Z, T ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ),
% 0.87/1.42 c_Product__Type_OPair( Y, Y, U, T ), X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.87/1.42 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.87/1.42 ), U ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.87/1.42 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.87/1.42 ), Z ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.87/1.42 ( Z, U, Y ), ! c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.87/1.42 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ),
% 0.87/1.42 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.87/1.42 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.87/1.42 , U ), X ), c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.87/1.42 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( Y, W,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.87/1.42 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) ),
% 0.87/1.42 c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, T ), X ) }.
% 0.87/1.42 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.87/1.42 ), X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), T, c_Equiv__Relations_Oquotient( Z, Y, X ) ), ! c_member
% 0.87/1.42 ( tc_fun( Z, tc_HOL_Obool ), U, c_Equiv__Relations_Oquotient( Z, Y, X ) )
% 0.87/1.42 , T = U, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), T, U ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Equiv__Relations_Oquotient( Y, c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.87/1.42 , tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Y
% 0.87/1.42 , tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ), Y =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ) }.
% 0.87/1.42 { ! c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot
% 0.87/1.42 ( tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ), Y =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.87/1.42 c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.87/1.42 tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.87/1.42 ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.87/1.42 c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.87/1.42 .
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), X, Z ) ) }.
% 0.87/1.42 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.87/1.42 tc_HOL_Obool ), Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ), Y ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ), X ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( U, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( T, U, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ), Y, X ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_OImage( T, U, Z, Y ), c_Relation_OImage( T, U, Z, X ) ) ) }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), !
% 0.87/1.42 c_member( Z, T, Y ), alpha21( X, Z, T ) }.
% 0.87/1.42 { c_member( Z, skol65( T, Y, Z ), Y ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! alpha21( X, Z, skol65( X, Y, Z ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! alpha21( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.87/1.42 { Z = skol66( T, U, Z ), alpha21( X, Y, Z ) }.
% 0.87/1.42 { c_member( Y, skol66( X, Y, Z ), X ), alpha21( X, Y, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = Y }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) = Y }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.87/1.42 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 X, T ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.42 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) ) }.
% 0.87/1.42 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ORange( Z, T, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.87/1.42 ( tc_prod( Z, T ), tc_HOL_Obool ), Y, X ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.87/1.42 Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.87/1.42 Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.87/1.42 , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.87/1.42 ) }.
% 0.87/1.42 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.87/1.42 , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.87/1.42 ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.87/1.42 T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.87/1.42 , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.87/1.42 ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.87/1.42 T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.87/1.42 , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) =
% 0.87/1.42 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.87/1.42 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) = Y }.
% 0.87/1.42 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), X, Z ) }.
% 0.87/1.42 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = Y }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.87/1.42 ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.87/1.42 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.87/1.42 ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.87/1.42 ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Osemilattice__inf( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), hAPP(
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.87/1.42 }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.87/1.42 ) = X }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.87/1.42 , X, Y ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.87/1.42 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.87/1.42 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.87/1.42 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.42 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.87/1.42 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.87/1.42 tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.87/1.42 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.87/1.42 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.87/1.42 ( X ), Y ) = Y }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice__top( X ), ! Z =
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.87/1.42 c_Orderings_Otop__class_Otop( X ) }.
% 0.87/1.42 { ! class_Lattices_Odistrib__lattice( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Odistrib__lattice( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Odistrib__lattice( X ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Odistrib__lattice( X ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.87/1.42 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.87/1.42 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.87/1.42 { ! c_Relation_Otrans( Y, X ), ! c_Relation_Otrans( Y, Z ),
% 0.87/1.42 c_Relation_Otrans( Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.87/1.42 tc_prod( Y, Y ), tc_HOL_Obool ), X, Z ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) =
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 Y, X ) ) }.
% 0.87/1.42 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Y, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) =
% 0.87/1.42 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.87/1.42 tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.87/1.42 , X, Z ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.87/1.42 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.87/1.42 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.87/1.42 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.87/1.42 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.87/1.42 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.87/1.42 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.87/1.42 Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.87/1.42 ), Z, X ) ) }.
% 0.87/1.42 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.87/1.42 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.87/1.42 ( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice( X ),
% 0.87/1.42 class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Obounded__lattice( X ),
% 0.87/1.42 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.87/1.42 ( Y, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.87/1.42 ( Y, X ) ) }.
% 0.87/1.42 { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.87/1.42 ( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.87/1.42 ) ) }.
% 0.87/1.42 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.87/1.42 }.
% 0.87/1.42 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.87/1.42 .
% 0.87/1.42 { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.87/1.42 { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.87/1.42 { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.87/1.42 { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.87/1.42 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.87/1.42 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, hAPP( X, skol67( X
% 0.87/1.42 ) ) ), ! c_Relation_Oirrefl( tc_Arrow__Order__Mirabelle_Oalt, hAPP( X,
% 0.87/1.42 skol67( X ) ) ), ! c_Relation_Ototal__on( tc_Arrow__Order__Mirabelle_Oalt
% 0.87/1.42 , c_Orderings_Otop__class_Otop( tc_fun( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_HOL_Obool ) ), hAPP( X, skol67( X ) ) ), Y = Z, ! c_member( tc_prod(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.87/1.42 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), hAPP( X, v_i ) ), c_member(
% 0.87/1.42 tc_prod( tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt
% 0.87/1.42 ), c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), v_F( X ) ) }.
% 0.87/1.42 { c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P, X ) ) }.
% 0.87/1.42 { c_Relation_Oirrefl( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P, X ) ) }.
% 0.87/1.42 { c_Relation_Ototal__on( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_HOL_Obool ) ), hAPP( v_P, X ) ) }.
% 0.87/1.42 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_a,
% 0.87/1.42 v_b ), v_F( v_P ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P, skol68 )
% 0.87/1.42 ), ! c_Relation_Oirrefl( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P,
% 0.87/1.42 skol68 ) ), ! c_Relation_Ototal__on( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_HOL_Obool ) ), hAPP( v_P, skol68 ) ), c_Relation_Otrans(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, v_F( v_P ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P, skol68 )
% 0.87/1.42 ), ! c_Relation_Oirrefl( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P,
% 0.87/1.42 skol68 ) ), ! c_Relation_Ototal__on( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_HOL_Obool ) ), hAPP( v_P, skol68 ) ), c_Relation_Oirrefl(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, v_F( v_P ) ) }.
% 0.87/1.42 { ! c_Relation_Otrans( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P, skol68 )
% 0.87/1.42 ), ! c_Relation_Oirrefl( tc_Arrow__Order__Mirabelle_Oalt, hAPP( v_P,
% 0.87/1.42 skol68 ) ), ! c_Relation_Ototal__on( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 c_Orderings_Otop__class_Otop( tc_fun( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_HOL_Obool ) ), hAPP( v_P, skol68 ) ), c_Relation_Ototal__on(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, c_Orderings_Otop__class_Otop( tc_fun(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_HOL_Obool ) ), v_F( v_P ) ) }.
% 0.87/1.42 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.87/1.42 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_a,
% 0.87/1.42 v_b ), hAPP( v_P, v_i ) ) }.
% 0.87/1.42
% 0.87/1.42 *** allocated 15000 integers for clauses
% 0.87/1.42 *** allocated 22500 integers for clauses
% 0.87/1.42 *** allocated 33750 integers for clauses
% 0.87/1.42 *** allocated 50625 integers for clauses
% 0.87/1.42 percentage equality = 0.221132, percentage horn = 0.851613
% 0.87/1.42 This is a problem with some equality
% 0.87/1.42
% 0.87/1.42
% 0.87/1.42
% 0.87/1.42 Options Used:
% 0.87/1.42
% 0.87/1.42 useres = 1
% 0.87/1.42 useparamod = 1
% 0.87/1.42 useeqrefl = 1
% 0.87/1.42 useeqfact = 1
% 0.87/1.42 usefactor = 1
% 0.87/1.42 usesimpsplitting = 0
% 0.87/1.42 usesimpdemod = 5
% 0.87/1.42 usesimpres = 3
% 0.87/1.42
% 0.87/1.42 resimpinuse = 1000
% 0.87/1.42 resimpclauses = 20000
% 0.87/1.42 substype = eqrewr
% 0.87/1.42 backwardsubs = 1
% 0.87/1.42 selectoldest = 5
% 0.87/1.42
% 0.87/1.42 litorderings [0] = split
% 0.87/1.42 litorderings [1] = extend the termordering, first sorting on arguments
% 0.87/1.42
% 0.87/1.42 termordering = kbo
% 0.87/1.42
% 0.87/1.42 litapriori = 0
% 0.87/1.42 termapriori = 1
% 0.87/1.42 litaposteriori = 0
% 0.87/1.42 termaposteriori = 0
% 0.87/1.42 demodaposteriori = 0
% 0.87/1.42 ordereqreflfact = 0
% 0.87/1.42
% 0.87/1.42 litselect = negord
% 0.87/1.42
% 0.87/1.42 maxweight = 15
% 0.87/1.42 maxdepth = 30000
% 0.87/1.42 maxlength = 115
% 0.87/1.42 maxnrvars = 195
% 0.87/1.42 excuselevel = 1
% 0.87/1.42 increasemaxweight = 1
% 0.87/1.42
% 0.87/1.42 maxselected = 10000000
% 0.87/1.42 maxnrclauses = 10000000
% 0.87/1.42
% 0.87/1.42 showgenerated = 0
% 0.87/1.42 showkept = 0
% 0.87/1.42 showselected = 0
% 0.87/1.42 showdeleted = 0
% 0.87/1.42 showresimp = 1
% 0.87/1.42 showstatus = 2000
% 0.87/1.42
% 0.87/1.42 prologoutput = 0
% 0.87/1.42 nrgoals = 5000000
% 0.87/1.42 totalproof = 1
% 0.87/1.42
% 0.87/1.42 Symbols occurring in the translation:
% 0.87/1.42
% 0.87/1.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.87/1.42 . [1, 2] (w:1, o:122, a:1, s:1, b:0),
% 0.87/1.42 ! [4, 1] (w:0, o:93, a:1, s:1, b:0),
% 0.87/1.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.87/1.42 hAPP [38, 2] (w:1, o:146, a:1, s:1, b:0),
% 0.87/1.42 tc_HOL_Obool [41, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.87/1.42 tc_fun [42, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.87/1.42 c_Orderings_Otop__class_Otop [43, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.87/1.42 c_member [44, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.87/1.42 c_Relation_Oirrefl [46, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.87/1.42 tc_prod [47, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.87/1.42 c_Product__Type_OPair [48, 4] (w:1, o:233, a:1, s:1, b:0),
% 0.87/1.42 c_Relation_Ototal__on [50, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_Otrans [52, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.87/1.43 hBOOL [58, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.87/1.43 tc_Arrow__Order__Mirabelle_Oalt [63, 0] (w:1, o:49, a:1, s:1, b:0),
% 0.87/1.43 c_Arrow__Order__Mirabelle_Omkbot [64, 2] (w:1, o:170, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Arrow__Order__Mirabelle_Omktop [65, 2] (w:1, o:171, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Order__Relation_Ostrict__linear__order__on [66, 3] (w:1, o:186, a:1
% 0.87/1.43 , s:1, b:0),
% 0.87/1.43 class_Orderings_Otop [68, 1] (w:1, o:100, a:1, s:1, b:0),
% 0.87/1.43 c_fequal [69, 1] (w:1, o:101, a:1, s:1, b:0),
% 0.87/1.43 c_FunDef_Oin__rel [71, 5] (w:1, o:286, a:1, s:1, b:0),
% 0.87/1.43 c_Recdef_Osame__fst [74, 4] (w:1, o:234, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_ORange [75, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_OId__on [76, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_ODomain [77, 3] (w:1, o:188, a:1, s:1, b:0),
% 0.87/1.43 c_Nitpick_Orefl_H [78, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.87/1.43 c_Arrow__Order__Mirabelle_OLin [79, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_Oinv__image [80, 4] (w:1, o:235, a:1, s:1, b:0),
% 0.87/1.43 c_Arrow__Order__Mirabelle_Oabove [81, 3] (w:1, o:189, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Arrow__Order__Mirabelle_Obelow [82, 3] (w:1, o:190, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Wellfounded_Olex__prod [86, 4] (w:1, o:236, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_Orefl__on [87, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.87/1.43 c_Order__Relation_Opreorder__on [90, 3] (w:1, o:192, a:1, s:1, b:0),
% 0.87/1.43
% 0.87/1.43 c_Wellfounded_Oacc [91, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.87/1.43 c_Recdef_Owfrec__rel [95, 6] (w:1, o:307, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_Osingle__valued [97, 3] (w:1, o:184, a:1, s:1, b:0),
% 0.87/1.43 c_Recdef_Ocut [98, 5] (w:1, o:287, a:1, s:1, b:0),
% 0.87/1.43 c_Transitive__Closure_Ortrancl [101, 2] (w:1, o:176, a:1, s:1, b:0),
% 0.87/1.43
% 0.87/1.43 c_Nitpick_Owf__wfrec_H [102, 5] (w:1, o:288, a:1, s:1, b:0),
% 0.87/1.43 c_Nitpick_Owf__wfrec [103, 4] (w:1, o:237, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_OId [104, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.87/1.43 c_Transitive__Closure_Otrancl [118, 2] (w:1, o:177, a:1, s:1, b:0),
% 0.87/1.43 c_Lattices_Osemilattice__sup__class_Osup [119, 3] (w:1, o:193, a:1
% 0.87/1.43 , s:1, b:0),
% 0.87/1.43 c_Relation_Oantisym [126, 2] (w:1, o:178, a:1, s:1, b:0),
% 0.87/1.43 c_Product__Type_Oprod_Oprod__rec [131, 5] (w:1, o:289, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 class_Lattices_Olattice [132, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.87/1.43 class_Lattices_Obounded__lattice__top [134, 1] (w:1, o:104, a:1, s:1
% 0.87/1.43 , b:0),
% 0.87/1.43 c_Order__Relation_Opartial__order__on [135, 3] (w:1, o:194, a:1, s:1
% 0.87/1.43 , b:0),
% 0.87/1.43 class_Lattices_Osemilattice__sup [137, 1] (w:1, o:105, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Order__Relation_Olinear__order__on [141, 3] (w:1, o:195, a:1, s:1
% 0.87/1.43 , b:0),
% 0.87/1.43 c_Wellfounded_Oacyclic [142, 2] (w:1, o:179, a:1, s:1, b:0),
% 0.87/1.43 c_Product__Type_Ointernal__split [143, 5] (w:1, o:290, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 c_Groups_Ominus__class_Ominus [144, 3] (w:1, o:196, a:1, s:1, b:0),
% 0.87/1.43 c_Set_Oinsert [145, 3] (w:1, o:197, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_OField [146, 2] (w:1, o:180, a:1, s:1, b:0),
% 0.87/1.43 class_Groups_Ominus [147, 1] (w:1, o:106, a:1, s:1, b:0),
% 0.87/1.43 c_Orderings_Obot__class_Obot [148, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.87/1.43 c_Wellfounded_Owf [149, 2] (w:1, o:181, a:1, s:1, b:0),
% 0.87/1.43 c_Orderings_Oord__class_Oless__eq [151, 3] (w:1, o:198, a:1, s:1, b:0
% 0.87/1.43 ),
% 0.87/1.43 class_Orderings_Opreorder [152, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.87/1.43 class_Orderings_Obot [155, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.87/1.43 class_Orderings_Oord [156, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.87/1.43 class_Orderings_Olinorder [157, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.87/1.43 class_Orderings_Oorder [158, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.87/1.43 class_Lattices_Obounded__lattice__bot [162, 1] (w:1, o:113, a:1, s:1
% 0.87/1.43 , b:0),
% 0.87/1.43 c_Order__Relation_Owell__order__on [163, 3] (w:1, o:199, a:1, s:1, b:
% 0.87/1.43 0),
% 0.87/1.43 c_Set_Othe__elem [164, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.87/1.43 c_Nitpick_Ofold__graph_H [165, 6] (w:1, o:308, a:1, s:1, b:0),
% 0.87/1.43 c_Relation_OImage [166, 4] (w:1, o:238, a:1, s:1, b:0),
% 0.87/1.43 c_Wellfounded_Omeasure [170, 2] (w:1, o:182, a:1, s:1, b:0),
% 0.87/1.43 class_Groups_Oordered__ab__group__add [174, 1] (w:1, o:114, a:1, s:1
% 0.87/1.43 , b:0),
% 0.87/1.43 class_Groups_Oab__group__add [175, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.87/1.43 c_Equiv__Relations_Oequiv [176, 3] (w:1, o:200, a:1, s:1, b:0),
% 0.87/1.43 c_Recdef_Owfrec [178, 4] (w:1, o:239, a:1, s:1, b:0),
% 0.87/1.43 c_Equiv__Relations_Oquotient [180, 3] (w:1, o:201, a:1, s:1, b:0),
% 0.87/1.43 c_Lattices_Osemilattice__inf__class_Oinf [181, 3] (w:1, o:202, a:1
% 0.87/1.43 , s:1, b:0),
% 0.87/1.43 class_Lattices_Osemilattice__inf [183, 1] (w:1, o:116, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 class_Lattices_Odistrib__lattice [184, 1] (w:1, o:117, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 class_Lattices_Obounded__lattice [185, 1] (w:1, o:118, a:1, s:1, b:0)
% 0.87/1.43 ,
% 0.87/1.43 v_i [189, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.87/1.43 v_F [190, 1] (w:1, o:119, a:1, s:1, b:0),
% 0.87/1.43 v_P [191, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.87/1.43 v_a [192, 0] (w:1, o:91, a:1, s:1, b:0),
% 0.87/1.43 v_b [193, 0] (w:1, o:92, a:1, s:1, b:0),
% 0.87/1.43 alpha1 [194, 4] (w:1, o:240, a:1, s:1, b:1),
% 0.87/1.43 alpha2 [195, 4] (w:1, o:246, a:1, s:1, b:1),
% 0.87/1.43 alpha3 [196, 3] (w:1, o:206, a:1, s:1, b:1),
% 0.87/1.43 alpha4 [197, 3] (w:1, o:207, a:1, s:1, b:1),
% 0.87/1.43 alpha5 [198, 3] (w:1, o:208, a:1, s:1, b:1),
% 0.87/1.43 alpha6 [199, 3] (w:1, o:209, a:1, s:1, b:1),
% 0.87/1.43 alpha7 [200, 3] (w:1, o:210, a:1, s:1, b:1),
% 0.87/1.43 alpha8 [201, 6] (w:1, o:309, a:1, s:1, b:1),
% 0.87/1.43 alpha9 [202, 6] (w:1, o:310, a:1, s:1, b:1),
% 0.87/1.43 alpha10 [203, 5] (w:1, o:291, a:1, s:1, b:1),
% 0.87/1.43 alpha11 [204, 6] (w:1, o:311, a:1, s:1, b:1),
% 0.87/1.43 alpha12 [205, 4] (w:1, o:241, a:1, s:1, b:1),
% 0.87/1.43 alpha13 [206, 3] (w:1, o:211, a:1, s:1, b:1),
% 0.87/1.43 alpha14 [207, 3] (w:1, o:212, a:1, s:1, b:1),
% 0.87/1.43 alpha15 [208, 4] (w:1, o:242, a:1, s:1, b:1),
% 0.87/1.43 alpha16 [209, 4] (w:1, o:243, a:1, s:1, b:1),
% 0.87/1.43 alpha17 [210, 4] (w:1, o:244, a:1, s:1, b:1),
% 0.87/1.43 alpha18 [211, 4] (w:1, o:245, a:1, s:1, b:1),
% 0.87/1.43 alpha19 [212, 6] (w:1, o:312, a:1, s:1, b:1),
% 0.87/1.43 alpha20 [213, 4] (w:1, o:247, a:1, s:1, b:1),
% 0.87/1.43 alpha21 [214, 3] (w:1, o:203, a:1, s:1, b:1),
% 2.03/2.42 alpha22 [215, 4] (w:1, o:248, a:1, s:1, b:1),
% 2.03/2.42 alpha23 [216, 4] (w:1, o:249, a:1, s:1, b:1),
% 2.03/2.42 alpha24 [217, 4] (w:1, o:250, a:1, s:1, b:1),
% 2.03/2.42 alpha25 [218, 4] (w:1, o:251, a:1, s:1, b:1),
% 2.03/2.42 alpha26 [219, 4] (w:1, o:252, a:1, s:1, b:1),
% 2.03/2.42 alpha27 [220, 3] (w:1, o:204, a:1, s:1, b:1),
% 2.03/2.42 alpha28 [221, 3] (w:1, o:205, a:1, s:1, b:1),
% 2.03/2.42 alpha29 [222, 4] (w:1, o:253, a:1, s:1, b:1),
% 2.03/2.42 alpha30 [223, 4] (w:1, o:254, a:1, s:1, b:1),
% 2.03/2.42 alpha31 [224, 7] (w:1, o:327, a:1, s:1, b:1),
% 2.03/2.42 alpha32 [225, 4] (w:1, o:255, a:1, s:1, b:1),
% 2.03/2.42 alpha33 [226, 4] (w:1, o:256, a:1, s:1, b:1),
% 2.03/2.42 alpha34 [227, 4] (w:1, o:257, a:1, s:1, b:1),
% 2.03/2.42 alpha35 [228, 5] (w:1, o:292, a:1, s:1, b:1),
% 2.03/2.42 alpha36 [229, 5] (w:1, o:293, a:1, s:1, b:1),
% 2.03/2.42 alpha37 [230, 4] (w:1, o:258, a:1, s:1, b:1),
% 2.03/2.42 alpha38 [231, 4] (w:1, o:259, a:1, s:1, b:1),
% 2.03/2.42 alpha39 [232, 7] (w:1, o:328, a:1, s:1, b:1),
% 2.03/2.42 alpha40 [233, 5] (w:1, o:294, a:1, s:1, b:1),
% 2.03/2.42 alpha41 [234, 5] (w:1, o:295, a:1, s:1, b:1),
% 2.03/2.42 alpha42 [235, 5] (w:1, o:296, a:1, s:1, b:1),
% 2.03/2.42 alpha43 [236, 5] (w:1, o:297, a:1, s:1, b:1),
% 2.03/2.42 alpha44 [237, 5] (w:1, o:298, a:1, s:1, b:1),
% 2.03/2.42 alpha45 [238, 5] (w:1, o:299, a:1, s:1, b:1),
% 2.03/2.42 alpha46 [239, 5] (w:1, o:300, a:1, s:1, b:1),
% 2.03/2.42 alpha47 [240, 5] (w:1, o:301, a:1, s:1, b:1),
% 2.03/2.42 alpha48 [241, 4] (w:1, o:260, a:1, s:1, b:1),
% 2.03/2.42 alpha49 [242, 6] (w:1, o:313, a:1, s:1, b:1),
% 2.03/2.42 alpha50 [243, 9] (w:1, o:333, a:1, s:1, b:1),
% 2.03/2.42 alpha51 [244, 4] (w:1, o:261, a:1, s:1, b:1),
% 2.03/2.42 alpha52 [245, 5] (w:1, o:302, a:1, s:1, b:1),
% 2.03/2.42 skol1 [246, 2] (w:1, o:147, a:1, s:1, b:1),
% 2.03/2.42 skol2 [247, 2] (w:1, o:148, a:1, s:1, b:1),
% 2.03/2.42 skol3 [248, 3] (w:1, o:216, a:1, s:1, b:1),
% 2.03/2.42 skol4 [249, 4] (w:1, o:268, a:1, s:1, b:1),
% 2.03/2.42 skol5 [250, 2] (w:1, o:150, a:1, s:1, b:1),
% 2.03/2.42 skol6 [251, 4] (w:1, o:271, a:1, s:1, b:1),
% 2.03/2.42 skol7 [252, 2] (w:1, o:152, a:1, s:1, b:1),
% 2.03/2.42 skol8 [253, 2] (w:1, o:155, a:1, s:1, b:1),
% 2.03/2.42 skol9 [254, 4] (w:1, o:274, a:1, s:1, b:1),
% 2.03/2.42 skol10 [255, 4] (w:1, o:275, a:1, s:1, b:1),
% 2.03/2.42 skol11 [256, 3] (w:1, o:217, a:1, s:1, b:1),
% 2.03/2.42 skol12 [257, 4] (w:1, o:276, a:1, s:1, b:1),
% 2.03/2.42 skol13 [258, 4] (w:1, o:277, a:1, s:1, b:1),
% 2.03/2.42 skol14 [259, 3] (w:1, o:218, a:1, s:1, b:1),
% 2.03/2.42 skol15 [260, 6] (w:1, o:314, a:1, s:1, b:1),
% 2.03/2.42 skol16 [261, 6] (w:1, o:315, a:1, s:1, b:1),
% 2.03/2.42 skol17 [262, 3] (w:1, o:219, a:1, s:1, b:1),
% 2.03/2.42 skol18 [263, 5] (w:1, o:303, a:1, s:1, b:1),
% 2.03/2.42 skol19 [264, 5] (w:1, o:304, a:1, s:1, b:1),
% 2.03/2.42 skol20 [265, 3] (w:1, o:213, a:1, s:1, b:1),
% 2.03/2.42 skol21 [266, 3] (w:1, o:214, a:1, s:1, b:1),
% 2.03/2.42 skol22 [267, 6] (w:1, o:316, a:1, s:1, b:1),
% 2.03/2.42 skol23 [268, 6] (w:1, o:317, a:1, s:1, b:1),
% 2.03/2.42 skol24 [269, 6] (w:1, o:318, a:1, s:1, b:1),
% 2.03/2.42 skol25 [270, 3] (w:1, o:215, a:1, s:1, b:1),
% 2.03/2.42 skol26 [271, 2] (w:1, o:156, a:1, s:1, b:1),
% 2.03/2.42 skol27 [272, 6] (w:1, o:319, a:1, s:1, b:1),
% 2.03/2.42 skol28 [273, 6] (w:1, o:320, a:1, s:1, b:1),
% 2.03/2.42 skol29 [274, 6] (w:1, o:321, a:1, s:1, b:1),
% 2.03/2.42 skol30 [275, 7] (w:1, o:329, a:1, s:1, b:1),
% 2.03/2.42 skol31 [276, 4] (w:1, o:262, a:1, s:1, b:1),
% 2.03/2.42 skol32 [277, 4] (w:1, o:263, a:1, s:1, b:1),
% 2.03/2.42 skol33 [278, 4] (w:1, o:264, a:1, s:1, b:1),
% 2.03/2.42 skol34 [279, 4] (w:1, o:265, a:1, s:1, b:1),
% 2.03/2.42 skol35 [280, 4] (w:1, o:266, a:1, s:1, b:1),
% 2.03/2.42 skol36 [281, 0] (w:1, o:12, a:1, s:1, b:1),
% 2.03/2.42 skol37 [282, 1] (w:1, o:120, a:1, s:1, b:1),
% 2.03/2.42 skol38 [283, 2] (w:1, o:157, a:1, s:1, b:1),
% 2.03/2.42 skol39 [284, 4] (w:1, o:267, a:1, s:1, b:1),
% 2.03/2.42 skol40 [285, 3] (w:1, o:220, a:1, s:1, b:1),
% 2.03/2.42 skol41 [286, 3] (w:1, o:221, a:1, s:1, b:1),
% 2.03/2.42 skol42 [287, 4] (w:1, o:278, a:1, s:1, b:1),
% 2.03/2.42 skol43 [288, 3] (w:1, o:222, a:1, s:1, b:1),
% 2.03/2.42 skol44 [289, 3] (w:1, o:223, a:1, s:1, b:1),
% 2.03/2.42 skol45 [290, 4] (w:1, o:279, a:1, s:1, b:1),
% 2.03/2.42 skol46 [291, 4] (w:1, o:280, a:1, s:1, b:1),
% 2.03/2.42 skol47 [292, 4] (w:1, o:281, a:1, s:1, b:1),
% 15.33/15.75 skol48 [293, 4] (w:1, o:282, a:1, s:1, b:1),
% 15.33/15.75 skol49 [294, 2] (w:1, o:149, a:1, s:1, b:1),
% 15.33/15.75 skol50 [295, 2] (w:1, o:158, a:1, s:1, b:1),
% 15.33/15.75 skol51 [296, 2] (w:1, o:159, a:1, s:1, b:1),
% 15.33/15.75 skol52 [297, 2] (w:1, o:160, a:1, s:1, b:1),
% 15.33/15.75 skol53 [298, 4] (w:1, o:269, a:1, s:1, b:1),
% 15.33/15.75 skol54 [299, 4] (w:1, o:270, a:1, s:1, b:1),
% 15.33/15.75 skol55 [300, 3] (w:1, o:224, a:1, s:1, b:1),
% 15.33/15.75 skol56 [301, 2] (w:1, o:161, a:1, s:1, b:1),
% 15.33/15.75 skol57 [302, 2] (w:1, o:162, a:1, s:1, b:1),
% 15.33/15.75 skol58 [303, 2] (w:1, o:163, a:1, s:1, b:1),
% 15.33/15.75 skol59 [304, 5] (w:1, o:305, a:1, s:1, b:1),
% 15.33/15.75 skol60 [305, 4] (w:1, o:283, a:1, s:1, b:1),
% 15.33/15.75 skol61 [306, 4] (w:1, o:284, a:1, s:1, b:1),
% 15.33/15.75 skol62 [307, 7] (w:1, o:330, a:1, s:1, b:1),
% 15.33/15.75 skol63 [308, 5] (w:1, o:306, a:1, s:1, b:1),
% 15.33/15.75 skol64 [309, 3] (w:1, o:225, a:1, s:1, b:1),
% 15.33/15.75 skol65 [310, 3] (w:1, o:226, a:1, s:1, b:1),
% 15.33/15.75 skol66 [311, 3] (w:1, o:227, a:1, s:1, b:1),
% 15.33/15.75 skol67 [312, 1] (w:1, o:121, a:1, s:1, b:1),
% 15.33/15.75 skol68 [313, 0] (w:1, o:13, a:1, s:1, b:1),
% 15.33/15.75 skol69 [314, 2] (w:1, o:151, a:1, s:1, b:1),
% 15.33/15.75 skol70 [315, 2] (w:1, o:153, a:1, s:1, b:1),
% 15.33/15.75 skol71 [316, 3] (w:1, o:228, a:1, s:1, b:1),
% 15.33/15.75 skol72 [317, 3] (w:1, o:229, a:1, s:1, b:1),
% 15.33/15.75 skol73 [318, 6] (w:1, o:322, a:1, s:1, b:1),
% 15.33/15.75 skol74 [319, 6] (w:1, o:323, a:1, s:1, b:1),
% 15.33/15.75 skol75 [320, 6] (w:1, o:324, a:1, s:1, b:1),
% 15.33/15.75 skol76 [321, 7] (w:1, o:331, a:1, s:1, b:1),
% 15.33/15.75 skol77 [322, 4] (w:1, o:285, a:1, s:1, b:1),
% 15.33/15.75 skol78 [323, 3] (w:1, o:230, a:1, s:1, b:1),
% 15.33/15.75 skol79 [324, 2] (w:1, o:154, a:1, s:1, b:1),
% 15.33/15.75 skol80 [325, 4] (w:1, o:272, a:1, s:1, b:1),
% 15.33/15.75 skol81 [326, 4] (w:1, o:273, a:1, s:1, b:1),
% 15.33/15.75 skol82 [327, 2] (w:1, o:164, a:1, s:1, b:1),
% 15.33/15.75 skol83 [328, 7] (w:1, o:332, a:1, s:1, b:1),
% 15.33/15.75 skol84 [329, 2] (w:1, o:165, a:1, s:1, b:1),
% 15.33/15.75 skol85 [330, 3] (w:1, o:231, a:1, s:1, b:1),
% 15.33/15.75 skol86 [331, 6] (w:1, o:325, a:1, s:1, b:1),
% 15.33/15.75 skol87 [332, 3] (w:1, o:232, a:1, s:1, b:1),
% 15.33/15.75 skol88 [333, 6] (w:1, o:326, a:1, s:1, b:1).
% 15.33/15.75
% 15.33/15.75
% 15.33/15.75 Starting Search:
% 15.33/15.75
% 15.33/15.75 *** allocated 75937 integers for clauses
% 15.33/15.75 *** allocated 113905 integers for clauses
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 170857 integers for clauses
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 3248
% 15.33/15.75 Kept: 2205
% 15.33/15.75 Inuse: 153
% 15.33/15.75 Deleted: 0
% 15.33/15.75 Deletedinuse: 0
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 113905 integers for termspace/termends
% 15.33/15.75 *** allocated 256285 integers for clauses
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 170857 integers for termspace/termends
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 7086
% 15.33/15.75 Kept: 4257
% 15.33/15.75 Inuse: 231
% 15.33/15.75 Deleted: 0
% 15.33/15.75 Deletedinuse: 0
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 384427 integers for clauses
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 11456
% 15.33/15.75 Kept: 6271
% 15.33/15.75 Inuse: 313
% 15.33/15.75 Deleted: 1
% 15.33/15.75 Deletedinuse: 1
% 15.33/15.75
% 15.33/15.75 *** allocated 256285 integers for termspace/termends
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 576640 integers for clauses
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 16379
% 15.33/15.75 Kept: 8278
% 15.33/15.75 Inuse: 352
% 15.33/15.75 Deleted: 1
% 15.33/15.75 Deletedinuse: 1
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 384427 integers for termspace/termends
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 22617
% 15.33/15.75 Kept: 10303
% 15.33/15.75 Inuse: 391
% 15.33/15.75 Deleted: 1
% 15.33/15.75 Deletedinuse: 1
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 864960 integers for clauses
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 26713
% 15.33/15.75 Kept: 12311
% 15.33/15.75 Inuse: 429
% 15.33/15.75 Deleted: 2
% 15.33/15.75 Deletedinuse: 2
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 576640 integers for termspace/termends
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 41505
% 15.33/15.75 Kept: 15429
% 15.33/15.75 Inuse: 441
% 15.33/15.75 Deleted: 2
% 15.33/15.75 Deletedinuse: 2
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75
% 15.33/15.75 Intermediate Status:
% 15.33/15.75 Generated: 47578
% 15.33/15.75 Kept: 18392
% 15.33/15.75 Inuse: 496
% 15.33/15.75 Deleted: 40
% 15.33/15.75 Deletedinuse: 40
% 15.33/15.75
% 15.33/15.75 Resimplifying inuse:
% 15.33/15.75 Done
% 15.33/15.75
% 15.33/15.75 *** allocated 1297440 integers for clauses
% 15.33/15.75 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying clauses:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 52526
% 47.56/47.94 Kept: 20394
% 47.56/47.94 Inuse: 524
% 47.56/47.94 Deleted: 1006
% 47.56/47.94 Deletedinuse: 40
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 *** allocated 864960 integers for termspace/termends
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 63727
% 47.56/47.94 Kept: 23021
% 47.56/47.94 Inuse: 551
% 47.56/47.94 Deleted: 1010
% 47.56/47.94 Deletedinuse: 44
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 78878
% 47.56/47.94 Kept: 25683
% 47.56/47.94 Inuse: 580
% 47.56/47.94 Deleted: 1010
% 47.56/47.94 Deletedinuse: 44
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 83633
% 47.56/47.94 Kept: 28281
% 47.56/47.94 Inuse: 626
% 47.56/47.94 Deleted: 1010
% 47.56/47.94 Deletedinuse: 44
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 *** allocated 1946160 integers for clauses
% 47.56/47.94 *** allocated 1297440 integers for termspace/termends
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 93821
% 47.56/47.94 Kept: 30754
% 47.56/47.94 Inuse: 661
% 47.56/47.94 Deleted: 1013
% 47.56/47.94 Deletedinuse: 47
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 100003
% 47.56/47.94 Kept: 33033
% 47.56/47.94 Inuse: 681
% 47.56/47.94 Deleted: 1014
% 47.56/47.94 Deletedinuse: 48
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 104150
% 47.56/47.94 Kept: 35484
% 47.56/47.94 Inuse: 686
% 47.56/47.94 Deleted: 1014
% 47.56/47.94 Deletedinuse: 48
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 108385
% 47.56/47.94 Kept: 37853
% 47.56/47.94 Inuse: 715
% 47.56/47.94 Deleted: 1016
% 47.56/47.94 Deletedinuse: 50
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 112278
% 47.56/47.94 Kept: 39896
% 47.56/47.94 Inuse: 761
% 47.56/47.94 Deleted: 1016
% 47.56/47.94 Deletedinuse: 50
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying clauses:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 119888
% 47.56/47.94 Kept: 41910
% 47.56/47.94 Inuse: 796
% 47.56/47.94 Deleted: 1037
% 47.56/47.94 Deletedinuse: 51
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 *** allocated 1946160 integers for termspace/termends
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 125254
% 47.56/47.94 Kept: 43968
% 47.56/47.94 Inuse: 831
% 47.56/47.94 Deleted: 1038
% 47.56/47.94 Deletedinuse: 52
% 47.56/47.94
% 47.56/47.94 *** allocated 2919240 integers for clauses
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 133202
% 47.56/47.94 Kept: 46006
% 47.56/47.94 Inuse: 853
% 47.56/47.94 Deleted: 1038
% 47.56/47.94 Deletedinuse: 52
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 137449
% 47.56/47.94 Kept: 48054
% 47.56/47.94 Inuse: 881
% 47.56/47.94 Deleted: 1040
% 47.56/47.94 Deletedinuse: 54
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 141278
% 47.56/47.94 Kept: 50095
% 47.56/47.94 Inuse: 911
% 47.56/47.94 Deleted: 1040
% 47.56/47.94 Deletedinuse: 54
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 146319
% 47.56/47.94 Kept: 52314
% 47.56/47.94 Inuse: 941
% 47.56/47.94 Deleted: 1040
% 47.56/47.94 Deletedinuse: 54
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 151868
% 47.56/47.94 Kept: 54440
% 47.56/47.94 Inuse: 971
% 47.56/47.94 Deleted: 1043
% 47.56/47.94 Deletedinuse: 57
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94 Resimplifying inuse:
% 47.56/47.94 Done
% 47.56/47.94
% 47.56/47.94
% 47.56/47.94 Intermediate Status:
% 47.56/47.94 Generated: 159350
% 47.56/47.94 Kept: 56536
% 47.56/47.94 Inuse: 981
% 47.56/47.95 Deleted: 1045
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95
% 47.56/47.95 Intermediate Status:
% 47.56/47.95 Generated: 165505
% 47.56/47.95 Kept: 58835
% 47.56/47.95 Inuse: 1016
% 47.56/47.95 Deleted: 1045
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95 *** allocated 2919240 integers for termspace/termends
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95 Resimplifying clauses:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95
% 47.56/47.95 Intermediate Status:
% 47.56/47.95 Generated: 170515
% 47.56/47.95 Kept: 61182
% 47.56/47.95 Inuse: 1031
% 47.56/47.95 Deleted: 1052
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95
% 47.56/47.95 Intermediate Status:
% 47.56/47.95 Generated: 174180
% 47.56/47.95 Kept: 63188
% 47.56/47.95 Inuse: 1053
% 47.56/47.95 Deleted: 1052
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 *** allocated 4378860 integers for clauses
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95
% 47.56/47.95 Intermediate Status:
% 47.56/47.95 Generated: 178698
% 47.56/47.95 Kept: 65190
% 47.56/47.95 Inuse: 1063
% 47.56/47.95 Deleted: 1052
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95
% 47.56/47.95 Intermediate Status:
% 47.56/47.95 Generated: 182683
% 47.56/47.95 Kept: 67307
% 47.56/47.95 Inuse: 1076
% 47.56/47.95 Deleted: 1052
% 47.56/47.95 Deletedinuse: 59
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 47.56/47.95 Done
% 47.56/47.95
% 47.56/47.95 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 191582
% 128.45/128.82 Kept: 70298
% 128.45/128.82 Inuse: 1091
% 128.45/128.82 Deleted: 1052
% 128.45/128.82 Deletedinuse: 59
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 195559
% 128.45/128.82 Kept: 72572
% 128.45/128.82 Inuse: 1121
% 128.45/128.82 Deleted: 1052
% 128.45/128.82 Deletedinuse: 59
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 *** allocated 4378860 integers for termspace/termends
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 199632
% 128.45/128.82 Kept: 74762
% 128.45/128.82 Inuse: 1146
% 128.45/128.82 Deleted: 1052
% 128.45/128.82 Deletedinuse: 59
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 205627
% 128.45/128.82 Kept: 76841
% 128.45/128.82 Inuse: 1156
% 128.45/128.82 Deleted: 1053
% 128.45/128.82 Deletedinuse: 60
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 215990
% 128.45/128.82 Kept: 80230
% 128.45/128.82 Inuse: 1166
% 128.45/128.82 Deleted: 1053
% 128.45/128.82 Deletedinuse: 60
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying clauses:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 222241
% 128.45/128.82 Kept: 82455
% 128.45/128.82 Inuse: 1176
% 128.45/128.82 Deleted: 1056
% 128.45/128.82 Deletedinuse: 60
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 229706
% 128.45/128.82 Kept: 84502
% 128.45/128.82 Inuse: 1193
% 128.45/128.82 Deleted: 1057
% 128.45/128.82 Deletedinuse: 61
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 238030
% 128.45/128.82 Kept: 86521
% 128.45/128.82 Inuse: 1202
% 128.45/128.82 Deleted: 1057
% 128.45/128.82 Deletedinuse: 61
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 247160
% 128.45/128.82 Kept: 89211
% 128.45/128.82 Inuse: 1216
% 128.45/128.82 Deleted: 1057
% 128.45/128.82 Deletedinuse: 61
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 254477
% 128.45/128.82 Kept: 91837
% 128.45/128.82 Inuse: 1236
% 128.45/128.82 Deleted: 1059
% 128.45/128.82 Deletedinuse: 63
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 259050
% 128.45/128.82 Kept: 94111
% 128.45/128.82 Inuse: 1256
% 128.45/128.82 Deleted: 1060
% 128.45/128.82 Deletedinuse: 64
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 263879
% 128.45/128.82 Kept: 96298
% 128.45/128.82 Inuse: 1276
% 128.45/128.82 Deleted: 1061
% 128.45/128.82 Deletedinuse: 65
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 *** allocated 6568290 integers for clauses
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 269167
% 128.45/128.82 Kept: 98325
% 128.45/128.82 Inuse: 1307
% 128.45/128.82 Deleted: 1062
% 128.45/128.82 Deletedinuse: 66
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 273349
% 128.45/128.82 Kept: 100417
% 128.45/128.82 Inuse: 1336
% 128.45/128.82 Deleted: 1062
% 128.45/128.82 Deletedinuse: 66
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying clauses:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 279185
% 128.45/128.82 Kept: 102438
% 128.45/128.82 Inuse: 1354
% 128.45/128.82 Deleted: 1254
% 128.45/128.82 Deletedinuse: 68
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 283319
% 128.45/128.82 Kept: 104470
% 128.45/128.82 Inuse: 1386
% 128.45/128.82 Deleted: 1256
% 128.45/128.82 Deletedinuse: 70
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 288418
% 128.45/128.82 Kept: 106961
% 128.45/128.82 Inuse: 1421
% 128.45/128.82 Deleted: 1259
% 128.45/128.82 Deletedinuse: 73
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 293543
% 128.45/128.82 Kept: 109233
% 128.45/128.82 Inuse: 1445
% 128.45/128.82 Deleted: 1262
% 128.45/128.82 Deletedinuse: 75
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 301341
% 128.45/128.82 Kept: 111740
% 128.45/128.82 Inuse: 1490
% 128.45/128.82 Deleted: 1265
% 128.45/128.82 Deletedinuse: 78
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 307710
% 128.45/128.82 Kept: 114171
% 128.45/128.82 Inuse: 1510
% 128.45/128.82 Deleted: 1265
% 128.45/128.82 Deletedinuse: 78
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 *** allocated 6568290 integers for termspace/termends
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 313378
% 128.45/128.82 Kept: 116173
% 128.45/128.82 Inuse: 1529
% 128.45/128.82 Deleted: 1265
% 128.45/128.82 Deletedinuse: 78
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 319624
% 128.45/128.82 Kept: 118202
% 128.45/128.82 Inuse: 1537
% 128.45/128.82 Deleted: 1266
% 128.45/128.82 Deletedinuse: 78
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82
% 128.45/128.82 Intermediate Status:
% 128.45/128.82 Generated: 327860
% 128.45/128.82 Kept: 121202
% 128.45/128.82 Inuse: 1554
% 128.45/128.82 Deleted: 1269
% 128.45/128.82 Deletedinuse: 81
% 128.45/128.82
% 128.45/128.82 Resimplifying inuse:
% 128.45/128.82 Done
% 128.45/128.82
% 128.45/128.82 Resimplifying clauses:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 336404
% 243.76/244.13 Kept: 124037
% 243.76/244.13 Inuse: 1564
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 342428
% 243.76/244.13 Kept: 126445
% 243.76/244.13 Inuse: 1579
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 350001
% 243.76/244.13 Kept: 129135
% 243.76/244.13 Inuse: 1609
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 355686
% 243.76/244.13 Kept: 131259
% 243.76/244.13 Inuse: 1619
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 361229
% 243.76/244.13 Kept: 133356
% 243.76/244.13 Inuse: 1629
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 368267
% 243.76/244.13 Kept: 135442
% 243.76/244.13 Inuse: 1654
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 373635
% 243.76/244.13 Kept: 138002
% 243.76/244.13 Inuse: 1679
% 243.76/244.13 Deleted: 1408
% 243.76/244.13 Deletedinuse: 81
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 377614
% 243.76/244.13 Kept: 140043
% 243.76/244.13 Inuse: 1704
% 243.76/244.13 Deleted: 1409
% 243.76/244.13 Deletedinuse: 82
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 381938
% 243.76/244.13 Kept: 142116
% 243.76/244.13 Inuse: 1729
% 243.76/244.13 Deleted: 1411
% 243.76/244.13 Deletedinuse: 84
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying clauses:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 386304
% 243.76/244.13 Kept: 144256
% 243.76/244.13 Inuse: 1749
% 243.76/244.13 Deleted: 1465
% 243.76/244.13 Deletedinuse: 84
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 *** allocated 9852435 integers for clauses
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 396984
% 243.76/244.13 Kept: 147820
% 243.76/244.13 Inuse: 1764
% 243.76/244.13 Deleted: 1466
% 243.76/244.13 Deletedinuse: 85
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 401509
% 243.76/244.13 Kept: 149821
% 243.76/244.13 Inuse: 1783
% 243.76/244.13 Deleted: 1470
% 243.76/244.13 Deletedinuse: 89
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 412741
% 243.76/244.13 Kept: 151874
% 243.76/244.13 Inuse: 1794
% 243.76/244.13 Deleted: 1470
% 243.76/244.13 Deletedinuse: 89
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 424935
% 243.76/244.13 Kept: 155957
% 243.76/244.13 Inuse: 1819
% 243.76/244.13 Deleted: 1471
% 243.76/244.13 Deletedinuse: 90
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 430034
% 243.76/244.13 Kept: 158093
% 243.76/244.13 Inuse: 1848
% 243.76/244.13 Deleted: 1473
% 243.76/244.13 Deletedinuse: 91
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 436109
% 243.76/244.13 Kept: 160484
% 243.76/244.13 Inuse: 1875
% 243.76/244.13 Deleted: 1482
% 243.76/244.13 Deletedinuse: 92
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying clauses:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 439710
% 243.76/244.13 Kept: 162566
% 243.76/244.13 Inuse: 1898
% 243.76/244.13 Deleted: 1677
% 243.76/244.13 Deletedinuse: 92
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 444300
% 243.76/244.13 Kept: 164786
% 243.76/244.13 Inuse: 1915
% 243.76/244.13 Deleted: 1678
% 243.76/244.13 Deletedinuse: 93
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 450355
% 243.76/244.13 Kept: 166829
% 243.76/244.13 Inuse: 1930
% 243.76/244.13 Deleted: 1678
% 243.76/244.13 Deletedinuse: 93
% 243.76/244.13
% 243.76/244.13 *** allocated 9852435 integers for termspace/termends
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 461564
% 243.76/244.13 Kept: 169822
% 243.76/244.13 Inuse: 1945
% 243.76/244.13 Deleted: 1678
% 243.76/244.13 Deletedinuse: 93
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 477794
% 243.76/244.13 Kept: 174086
% 243.76/244.13 Inuse: 1975
% 243.76/244.13 Deleted: 1679
% 243.76/244.13 Deletedinuse: 94
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 482322
% 243.76/244.13 Kept: 176522
% 243.76/244.13 Inuse: 1995
% 243.76/244.13 Deleted: 1679
% 243.76/244.13 Deletedinuse: 94
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 488537
% 243.76/244.13 Kept: 178968
% 243.76/244.13 Inuse: 2005
% 243.76/244.13 Deleted: 1679
% 243.76/244.13 Deletedinuse: 94
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13 Resimplifying inuse:
% 243.76/244.13 Done
% 243.76/244.13
% 243.76/244.13
% 243.76/244.13 Intermediate Status:
% 243.76/244.13 Generated: 497502
% 243.76/244.13 Kept: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------