TSTP Solution File: SCT103+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT103+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 21:01:16 EDT 2022
% Result : Timeout 300.05s 300.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SCT103+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Fri Jul 1 22:05:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/1.38 *** allocated 10000 integers for termspace/termends
% 0.83/1.38 *** allocated 10000 integers for clauses
% 0.83/1.38 *** allocated 10000 integers for justifications
% 0.83/1.38 *** allocated 15000 integers for termspace/termends
% 0.83/1.38 Bliksem 1.12
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38 Automatic Strategy Selection
% 0.83/1.38
% 0.83/1.38 *** allocated 22500 integers for termspace/termends
% 0.83/1.38 *** allocated 33750 integers for termspace/termends
% 0.83/1.38 *** allocated 50625 integers for termspace/termends
% 0.83/1.38 *** allocated 75937 integers for termspace/termends
% 0.83/1.38
% 0.83/1.38 Clauses:
% 0.83/1.38
% 0.83/1.38 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.83/1.38 { ! Y = X, alpha23( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.83/1.38 { ! Y = X, alpha23( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.83/1.38 { ! alpha23( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.83/1.38 { ! alpha23( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha23( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_FunDef_Oin__rel( U, T, Z, Y, X ), c_member( tc_prod( U, T ),
% 0.83/1.38 c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.83/1.38 c_FunDef_Oin__rel( U, T, Z, Y, X ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.83/1.38 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.83/1.38 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.83/1.38 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.83/1.38 skol2( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Z, skol3( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair(
% 0.83/1.38 Y, X, T, U ) ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol67( X, Y, Z ), skol81
% 0.83/1.38 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.83/1.38 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.83/1.38 ), T = Y }.
% 0.83/1.38 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.83/1.38 ), Z = X }.
% 0.83/1.38 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.83/1.38 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.83/1.38 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.83/1.38 ), T = Y }.
% 0.83/1.38 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.83/1.38 ), Z = X }.
% 0.83/1.38 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.83/1.38 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.83/1.38 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.83/1.38 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.83/1.38 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.83/1.38 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha1( X, Z, T, U, W
% 0.83/1.38 , V0 ) }.
% 0.83/1.38 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.83/1.38 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.83/1.38 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.83/1.38 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.83/1.38 { ! alpha1( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.83/1.38 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.83/1.38 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.83/1.38 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.83/1.38 { ! alpha1( X, Y, Z, T, U, W ), U = Z }.
% 0.83/1.38 { ! alpha1( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.83/1.38 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.83/1.38 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.83/1.38 , X ), alpha1( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.83/1.38 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.83/1.38 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol4( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha2
% 0.83/1.38 ( Y, Z, T, U, W, skol4( X, Y, Z, T, U, W ) ) }.
% 0.83/1.38 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha2( Y, Z, T,
% 0.83/1.38 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.83/1.38 ) }.
% 0.83/1.38 { ! alpha2( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.83/1.38 , Y, V0, hAPP( W, V0 ) ) }.
% 0.83/1.38 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol5( X, V0, Z,
% 0.83/1.38 V1, U, V2 ), X ), Z ), alpha2( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol5( X, Y, Z, T, U, W ), hAPP( W,
% 0.83/1.38 skol5( X, Y, Z, T, U, W ) ) ), alpha2( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL(
% 0.83/1.38 c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.83/1.38 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.83/1.38 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.83/1.38 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.83/1.38 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.83/1.38 { ! hAPP( T, skol6( X, V0, V1, T, V2 ) ) = hAPP( X, skol6( X, V0, V1, T, V2
% 0.83/1.38 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }.
% 0.83/1.38 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol6( X, Y, Z, T
% 0.83/1.38 , W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.83/1.38 , Z, Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.83/1.38 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.83/1.38 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), ! c_member( W, U, hAPP( T, Y ) ), c_member(
% 0.83/1.38 tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.83/1.38 c_Product__Type_OSigma( Z, W, X, T ) ) }.
% 0.83/1.38 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol7( X, Y ),
% 0.83/1.38 skol7( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.83/1.38 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.83/1.38 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.83/1.38 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.83/1.38 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.83/1.38 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.83/1.38 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_member( W, T, Y ), ! c_member( U, Z, hAPP( X, T ) ), c_member(
% 0.83/1.38 tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.83/1.38 c_Product__Type_OSigma( W, U, Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.83/1.38 c_Product__Type_OSigma( Z, W, X, T ) ), c_member( Z, Y, X ) }.
% 0.83/1.38 { ! c_member( tc_prod( W, T ), c_Product__Type_OPair( W, T, Z, Y ),
% 0.83/1.38 c_Product__Type_OSigma( W, T, U, X ) ), c_member( T, Y, hAPP( X, Z ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.83/1.38 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.83/1.38 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.83/1.38 .
% 0.83/1.38 { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z,
% 0.83/1.38 c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.83/1.38 c_member( U, skol8( W, Y, V0, V1, U ), Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.83/1.38 c_member( T, skol68( X, Y, Z, T, U ), hAPP( X, skol8( X, Y, Z, T, U ) ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ), Z
% 0.83/1.38 = c_Product__Type_OPair( U, T, skol8( X, Y, Z, T, U ), skol68( X, Y, Z,
% 0.83/1.38 T, U ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.83/1.38 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.83/1.38 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.83/1.38 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol9( X,
% 0.83/1.38 Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha3( Y, Z, T, U, W, skol9
% 0.83/1.38 ( X, Y, Z, T, U, W ) ) }.
% 0.83/1.38 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha3( Y, Z, T, U, W, V0 ),
% 0.83/1.38 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.83/1.38 { ! alpha3( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.83/1.38 , Y, V0, hAPP( W, V0 ) ) }.
% 0.83/1.38 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol10( X, V0, Z
% 0.83/1.38 , V1, U, V2 ), X ), Z ), alpha3( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol10( X, Y, Z, T, U, W ), hAPP( W,
% 0.83/1.38 skol10( X, Y, Z, T, U, W ) ) ), alpha3( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol11( V0, V1,
% 0.83/1.38 V2, T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP
% 0.83/1.38 ( Y, X ), U ) ) }.
% 0.83/1.38 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol11( X, Y, Z, T, U, W ), hAPP( X,
% 0.83/1.38 skol11( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.83/1.38 ( hAPP( Y, X ), U ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.83/1.38 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.83/1.38 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { ! c_member( Z, skol12( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.83/1.38 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol12( X, Y, Z )
% 0.83/1.38 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.83/1.38 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.83/1.38 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha4( X, Y,
% 0.83/1.38 Z, T ) }.
% 0.83/1.38 { c_member( Z, skol13( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.83/1.38 { ! alpha4( X, Y, Z, skol13( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X )
% 0.83/1.38 }.
% 0.83/1.38 { ! alpha4( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha15( X, Z, T, U ) }.
% 0.83/1.38 { c_member( Z, skol14( U, Y, Z, W ), Y ), alpha4( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha15( X, Z, T, skol14( X, Y, Z, T ) ), alpha4( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha15( X, Y, Z, T ), Z = T, alpha20( X, Y, Z, T ) }.
% 0.83/1.38 { ! Z = T, alpha15( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha20( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha20( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.83/1.38 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.83/1.38 , Y, T, Z ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.83/1.38 alpha20( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.83/1.38 alpha20( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ),
% 0.83/1.38 c_Relation_Oinv__image( Z, W, Y, X ) ), c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.83/1.38 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.83/1.38 , W, U, T ), c_Relation_Oinv__image( Z, W, Y, X ) ) }.
% 0.83/1.38 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.83/1.38 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.83/1.38 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.83/1.38 Y ), c_Product__Type_OPair( T, Y, Z, skol15( X, Y, Z, T ) ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.83/1.38 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.83/1.38 ), c_Product__Type_OPair( Y, T, skol16( X, Y, Z, T ), Z ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.83/1.38 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.83/1.38 c_Product__Type_OPair( Z, Z, skol17( T, Y, Z ), skol17( T, Y, Z ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.83/1.38 , skol17( X, Y, Z ), X ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.83/1.38 ), c_Product__Type_OPair( Y, T, skol18( X, Y, Z, T ), Z ), X ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.83/1.38 Y ), c_Product__Type_OPair( T, Y, Z, skol19( X, Y, Z, T ) ), X ) }.
% 0.83/1.38 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol20( X, T
% 0.83/1.38 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, skol20( X, Y, Z ), Y ), X ) }.
% 0.83/1.38 { ! c_member( Z, skol21( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.83/1.38 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol21( X, Y, Z )
% 0.83/1.38 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.83/1.38 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.83/1.38 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.83/1.38 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.83/1.38 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.83/1.38 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.83/1.38 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.83/1.38 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.83/1.38 ( Z, X ) ), Y = T }.
% 0.83/1.38 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.83/1.38 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.83/1.38 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.83/1.38 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol22( X, Y, Z )
% 0.83/1.38 , skol69( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.83/1.38 { ! alpha5( X, Y, Z, skol22( X, Y, Z ), skol69( X, Y, Z ) ),
% 0.83/1.38 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.83/1.38 { ! alpha5( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.83/1.38 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.83/1.38 { ! U = skol23( W, V0, V1, V2, U ), alpha5( X, Y, Z, T, U ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol23( X, Y,
% 0.83/1.38 Z, T, U ) ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.83/1.38 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.83/1.38 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.83/1.38 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.83/1.38 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.83/1.38 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.83/1.38 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.83/1.38 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.83/1.38 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.83/1.38 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.83/1.38 skol24( X, T, U, W, V0, V1 ), skol70( X, T, U, W, V0, V1 ) ) ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.83/1.38 hAPP( V1, Z ), Y ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.83/1.38 hAPP( hAPP( V1, U ), T ) ), alpha24( X, W, V0, V1, skol24( X, T, U, W, V0
% 0.83/1.38 , V1 ), skol70( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! alpha24( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.83/1.38 { ! alpha24( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.83/1.38 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.83/1.38 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.83/1.38 skol25( X, Y, Z, T, U, W ), skol71( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.83/1.38 { ! alpha24( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol25( X, Y, Z, T
% 0.83/1.38 , U, W ) ), skol71( X, Y, Z, T, U, W ) ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.83/1.38 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.83/1.38 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.83/1.38 , V1 ) ), alpha24( X, Y, Z, T, U, W ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.83/1.38 hAPP( hAPP( V1, Z ), Y ) ), alpha25( X, Y, Z, W, V0, skol26( X, Y, Z, W,
% 0.83/1.38 V0, V1 ), skol72( X, Y, Z, W, V0, V1 ), skol82( X, Y, Z, W, V0, V1 ),
% 0.83/1.38 skol84( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.83/1.38 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol82( X, Y, Z, W, V0
% 0.83/1.38 , V1 ) ), skol84( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.83/1.38 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol26( X, Y, Z, W,
% 0.83/1.38 V0, V1 ) ), skol72( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.83/1.38 , T ) ) }.
% 0.83/1.38 { ! alpha25( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.83/1.38 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.83/1.38 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.83/1.38 , T, V1, V2 ) ), X ) }.
% 0.83/1.38 { ! alpha25( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.83/1.38 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.83/1.38 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.83/1.38 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.83/1.38 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.83/1.38 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.83/1.38 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha25( X
% 0.83/1.38 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.83/1.38 skol27( X, Y, Z, T, U, W, V0 ), skol73( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.83/1.38 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.83/1.38 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.83/1.38 c_Product__Type_OPair( V0, W, skol27( X, Y, Z, T, U, W, V0 ), skol73( X,
% 0.83/1.38 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol28( X, Y, Z )
% 0.83/1.38 , skol74( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.83/1.38 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol28( X, Y, Z )
% 0.83/1.38 , skol83( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.83/1.38 { ! skol74( X, Y, Z ) = skol83( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.83/1.38 , X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.83/1.38 ), c_Product__Type_OPair( T, T, Z, skol29( X, U, Z, T ) ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.83/1.38 ), c_Product__Type_OPair( T, T, skol29( X, Y, Z, T ), Y ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.83/1.38 ), c_Product__Type_OPair( T, T, Z, skol30( X, U, Z, T ) ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.83/1.38 ), c_Product__Type_OPair( T, T, skol30( X, Y, Z, T ), Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.83/1.38 ( hAPP( U, skol75( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.83/1.38 alpha26( X, Y, T, skol31( X, Y, T, U ), skol75( X, Y, T, U ) ), hBOOL(
% 0.83/1.38 hAPP( U, Z ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.83/1.38 hBOOL( hAPP( U, skol31( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.83/1.38 { ! alpha26( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.83/1.38 { ! alpha26( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.83/1.38 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha26( X, Y, Z, T, U ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol32( X, Z,
% 0.83/1.38 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.83/1.38 alpha27( X, T, U, skol32( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.83/1.38 { ! alpha27( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol33( U, W, Z, V0 ) ) ) }.
% 0.83/1.38 { ! alpha27( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.83/1.38 { ! alpha27( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.83/1.38 ( Y, Y, T, skol33( X, Y, Z, T ) ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.83/1.38 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha27( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.83/1.38 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.83/1.38 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.83/1.38 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.83/1.38 c_Relation_ODomain( Y, Y, X ) }.
% 0.83/1.38 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.83/1.38 c_Relation_ORange( Y, Y, X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha6( X, Y, Z, T ) }.
% 0.83/1.38 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! alpha6( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.83/1.38 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! alpha6( X, Y, Z, T ), ! Z = Y }.
% 0.83/1.38 { ! alpha6( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.83/1.38 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), alpha6( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.83/1.38 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.83/1.38 , X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.83/1.38 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, skol34( X, U, Z, T ) ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, skol34( X, Y, Z, T ), Y ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, skol35( X, U, Z, T ) ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, skol35( X, Y, Z, T ), Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol36( X, Y ),
% 0.83/1.38 skol36( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.83/1.38 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol37( X, Y ),
% 0.83/1.38 skol37( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.83/1.38 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, skol38( X, U, Z, T ) ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, skol38( X, Y, Z, T ), Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, skol39( X, U, Z, T ) ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, skol39( X, Y, Z, T ), Y ), X ) }.
% 0.83/1.38 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.83/1.38 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.83/1.38 c_Relation_OId( Y ) ) }.
% 0.83/1.38 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.83/1.38 c_Relation_OId( Z ) ), Y = X }.
% 0.83/1.38 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.83/1.38 c_Relation_OId( Z ) ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol40( X, Y ),
% 0.83/1.38 skol40( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.83/1.38 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.83/1.38 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.83/1.38 c_Product__Type_OPair( Y, Y, skol41( X, Y ), skol41( X, Y ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Otrancl( Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.83/1.38 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.83/1.38 ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.83/1.38 ), Y ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.83/1.38 ), Y ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.83/1.38 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.83/1.38 c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.83/1.38 ) = X }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.83/1.38 , X, Y ) }.
% 0.83/1.38 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.83/1.38 ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) }.
% 0.83/1.38 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.83/1.38 c_Set_Oinsert( T, Z, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Z, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { ! alpha21( X, Y, Z, T ), alpha7( X, Z, T ), alpha16( X, Y, T ) }.
% 0.83/1.38 { ! alpha7( X, Z, T ), alpha21( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha16( X, Y, T ), alpha21( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha21( X, Y, Z, T ), hBOOL( hAPP( X, skol42( X, U, W, V0 ) ) ) }.
% 0.83/1.38 { ! alpha21( X, Y, Z, T ), c_member( T, skol42( X, Y, Z, T ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha21( X, Y, Z, T )
% 0.83/1.38 }.
% 0.83/1.38 { ! alpha16( X, Y, Z ), hBOOL( hAPP( X, skol43( X, T, U ) ) ) }.
% 0.83/1.38 { ! alpha16( X, Y, Z ), c_member( Z, skol43( X, Y, Z ), Y ) }.
% 0.83/1.38 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha16( X, Y, Z ) }.
% 0.83/1.38 { ! alpha7( X, Y, Z ), hBOOL( hAPP( X, skol44( X, T, U ) ) ) }.
% 0.83/1.38 { ! alpha7( X, Y, Z ), c_member( Z, skol44( X, Y, Z ), Y ) }.
% 0.83/1.38 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha7( X, Y, Z ) }.
% 0.83/1.38 { ! alpha22( X, Y, Z, T ), alpha8( X, Z, T ) }.
% 0.83/1.38 { ! alpha22( X, Y, Z, T ), alpha17( X, Y, T ) }.
% 0.83/1.38 { ! alpha8( X, Z, T ), ! alpha17( X, Y, T ), alpha22( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha22( X, Y, Z, T ), ! c_member( T, U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( X, skol45( X, U, W, V0 ) ) ), alpha22( X, Y, Z, T ) }.
% 0.83/1.38 { c_member( T, skol45( X, Y, Z, T ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ) ), alpha22( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha17( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( X, skol46( X, T, U ) ) ), alpha17( X, Y, Z ) }.
% 0.83/1.38 { c_member( Z, skol46( X, Y, Z ), Y ), alpha17( X, Y, Z ) }.
% 0.83/1.38 { ! alpha8( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( X, skol47( X, T, U ) ) ), alpha8( X, Y, Z ) }.
% 0.83/1.38 { c_member( Z, skol47( X, Y, Z ), Y ), alpha8( X, Y, Z ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.83/1.38 ), X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) ) }.
% 0.83/1.38 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.83/1.38 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.83/1.38 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.83/1.38 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.83/1.38 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.83/1.38 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.83/1.38 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.83/1.38 c_Relation_ODomain( U, T, X ) ) }.
% 0.83/1.38 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.83/1.38 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.83/1.38 c_Relation_ORange( U, T, X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.83/1.38 }.
% 0.83/1.38 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.83/1.38 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.83/1.38 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.83/1.38 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.83/1.38 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.83/1.38 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.83/1.38 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.83/1.38 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.83/1.38 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha9( X, Y, Z, T ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol48( X, Y ),
% 0.83/1.38 skol76( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { ! alpha9( X, Y, skol48( X, Y ), skol76( X, Y ) ), c_Relation_Oantisym( Y
% 0.83/1.38 , X ) }.
% 0.83/1.38 { ! alpha9( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.83/1.38 alpha9( X, Y, Z, T ) }.
% 0.83/1.38 { ! Z = T, alpha9( X, Y, Z, T ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, skol77( X, U, W, V0 ), skol49( X, W, V0, U )
% 0.83/1.38 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), ! skol77( X, U, W, V0 ) = skol49( X, W, V0, U
% 0.83/1.38 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, skol49( X, Y, Z, U ), Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, skol50( X, W, V0, U ), skol78( X, U, W, V0 )
% 0.83/1.38 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), ! skol50( X, W, V0, U ) = skol78( X, U, W, V0
% 0.83/1.38 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, T, skol50( X, Y, T, U ) ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.83/1.38 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.83/1.38 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol51( X, Y ),
% 0.83/1.38 skol79( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol79( X, Y ),
% 0.83/1.38 skol51( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { ! skol51( X, Y ) = skol79( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.83/1.38 c_Relation_ORange( Y, Y, X ) ) }.
% 0.83/1.38 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.83/1.38 tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.83/1.38 { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, c_Relation_Oinv__image
% 0.83/1.38 ( Y, T, X, Z ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.83/1.38 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.83/1.38 ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.83/1.38 .
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.83/1.38 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_member( Y, skol52( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.83/1.38 c_Wellfounded_Owf( Y, X ) }.
% 0.83/1.38 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ), c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.83/1.38 { c_Relation_ODomain( X, X, c_Relation_OId( X ) ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_ORange( X, X, c_Relation_OId( X ) ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_Orefl__on( X, c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.83/1.38 tc_HOL_Obool ) ), c_Relation_OId( X ) ) }.
% 0.83/1.38 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.83/1.38 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.83/1.38 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.83/1.38 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.83/1.38 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.83/1.38 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { c_Wellfounded_Owf( Y, c_Wellfounded_Omeasure( Y, X ) ) }.
% 0.83/1.38 { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun(
% 0.83/1.38 Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.83/1.38 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.83/1.38 ) }.
% 0.83/1.38 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.83/1.38 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.83/1.38 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.83/1.38 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.83/1.38 ), Z ) }.
% 0.83/1.38 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.83/1.38 ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.83/1.38 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.83/1.38 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.83/1.38 ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.83/1.38 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.83/1.38 , Y ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.83/1.38 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.83/1.38 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.83/1.38 { c_Product__Type_OSigma( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.83/1.38 , Y ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.83/1.38 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.83/1.38 tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.83/1.38 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.83/1.38 , Y ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.83/1.38 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.83/1.38 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_member( Y, skol53( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.83/1.38 c_member( Y, Z, X ) }.
% 0.83/1.38 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.83/1.38 Y, skol54( X, Y ), X ) }.
% 0.83/1.38 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.83/1.38 c_member( X, Z, Y ) }.
% 0.83/1.38 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.83/1.38 c_Set_Oinsert( Z, Y, X ) }.
% 0.83/1.38 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.83/1.38 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.83/1.38 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 alpha10( X, Y, Z, T ), alpha18( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha10( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! alpha18( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! alpha18( X, Y, Z, T ), T = X }.
% 0.83/1.38 { ! alpha18( X, Y, Z, T ), Z = Y }.
% 0.83/1.38 { ! T = X, ! Z = Y, alpha18( X, Y, Z, T ) }.
% 0.83/1.38 { ! alpha10( X, Y, Z, T ), T = Y }.
% 0.83/1.38 { ! alpha10( X, Y, Z, T ), Z = X }.
% 0.83/1.38 { ! T = Y, ! Z = X, alpha10( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.83/1.38 { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.83/1.38 , X ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ), X ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.83/1.38 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.83/1.38 ( X ), Y ) = Y }.
% 0.83/1.38 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.83/1.38 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.83/1.38 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.83/1.38 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.83/1.38 ), U ) }.
% 0.83/1.38 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.83/1.38 { hBOOL( hAPP( Z, skol55( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.83/1.38 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, hAPP( X, skol55( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.83/1.38 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( Y, Z ), !
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ODomain( Y, Y, X ), c_Relation_ORange( Y, Y, Z ) ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.83/1.38 c_Wellfounded_Owf( Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.83/1.38 tc_prod( Y, Y ), tc_HOL_Obool ), X, Z ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha11( X, Y, Z ) }
% 0.83/1.38 .
% 0.83/1.38 { c_member( Y, skol80( Y, Z ), skol56( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.83/1.38 }.
% 0.83/1.38 { ! alpha11( X, Y, skol56( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.83/1.38 { ! alpha11( X, Y, Z ), c_member( Y, skol57( T, Y, Z ), Z ) }.
% 0.83/1.38 { ! alpha11( X, Y, Z ), alpha19( X, Y, Z, skol57( X, Y, Z ) ) }.
% 0.83/1.38 { ! c_member( Y, T, Z ), ! alpha19( X, Y, Z, T ), alpha11( X, Y, Z ) }.
% 0.83/1.38 { ! alpha19( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.83/1.38 { c_member( Y, skol58( U, Y, Z, W ), Z ), alpha19( X, Y, Z, T ) }.
% 0.83/1.38 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol58( X, Y, Z,
% 0.83/1.38 T ), T ), X ), alpha19( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.83/1.38 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.83/1.38 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.83/1.38 ), X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.83/1.38 ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.83/1.38 .
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), !
% 0.83/1.38 c_member( Z, T, Y ), alpha12( X, Z, T ) }.
% 0.83/1.38 { c_member( Z, skol59( T, Y, Z ), Y ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! alpha12( X, Z, skol59( X, Y, Z ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! alpha12( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.83/1.38 { Z = skol60( T, U, Z ), alpha12( X, Y, Z ) }.
% 0.83/1.38 { c_member( Y, skol60( X, Y, Z ), X ), alpha12( X, Y, Z ) }.
% 0.83/1.38 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.83/1.38 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.83/1.38 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.83/1.38 { ! class_Lattices_Odistrib__lattice( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Odistrib__lattice( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Odistrib__lattice( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Odistrib__lattice( X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ), ! Z =
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.83/1.38 ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.83/1.38 ( X ), Y ) = Y }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( T, Z, Y ), c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T,
% 0.83/1.38 Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Z, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Z, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.83/1.38 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.83/1.38 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.83/1.38 , X, Z ) ) }.
% 0.83/1.38 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), X, Z ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), Z, X ) ) }.
% 0.83/1.38 { c_Relation_OImage( Z, Z, c_Relation_OId__on( Z, Y ), X ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.83/1.38 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.83/1.38 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Z, X ) ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.83/1.38 , X, Y ) }.
% 0.83/1.38 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.83/1.38 ) = X }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), hAPP(
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.83/1.38 ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.83/1.38 ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.83/1.38 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.83/1.38 ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.83/1.38 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.83/1.38 Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.83/1.38 Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.83/1.38 , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.83/1.38 ) }.
% 0.83/1.38 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.83/1.38 , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.83/1.38 T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.83/1.38 , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.83/1.38 T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.83/1.38 , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) }.
% 0.83/1.38 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.83/1.38 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.83/1.38 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol61
% 0.83/1.38 ( X, W, Z, V0, V1 ), X ) }.
% 0.83/1.38 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.83/1.38 , U ), c_Product__Type_OPair( Z, U, skol61( X, Y, Z, T, U ), T ), Y ) }.
% 0.83/1.38 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.83/1.38 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.83/1.38 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.83/1.38 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.83/1.38 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.83/1.38 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.83/1.38 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.83/1.38 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.83/1.38 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol62
% 0.83/1.38 ( X, W, Z, V0, V1 ), X ) }.
% 0.83/1.38 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.83/1.38 , U ), c_Product__Type_OPair( Z, U, skol62( X, Y, Z, T, U ), T ), Y ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( Y, W,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) ),
% 0.83/1.38 c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, T ), X ) }.
% 0.83/1.38 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.83/1.38 Z, T, c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, U, T ), X ), c_Relation_OImage( Y, Y, X,
% 0.83/1.38 c_Set_Oinsert( Y, U, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ), !
% 0.83/1.38 c_Equiv__Relations_Oequiv( T, U, Z ), ! c_member( T, X, U ), c_member(
% 0.83/1.38 tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, X ), Z ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.83/1.38 ( Z, U, Y ), ! c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), c_member(
% 0.83/1.38 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.83/1.38 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.83/1.38 , U ), X ), c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.83/1.38 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, U, T ), X ), c_Relation_OImage( Z, Z, X,
% 0.83/1.38 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.83/1.38 c_Product__Type_OPair( Z, Z, U, T ), X ), alpha13( Y, Z, T, U ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_Relation_OImage( Z, Z, X,
% 0.83/1.38 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), ! alpha13
% 0.83/1.38 ( Y, Z, T, U ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U
% 0.83/1.38 , T ), X ) }.
% 0.83/1.38 { ! alpha13( X, Y, Z, T ), c_member( Y, T, X ) }.
% 0.83/1.38 { ! alpha13( X, Y, Z, T ), c_member( Y, Z, X ) }.
% 0.83/1.38 { ! c_member( Y, T, X ), ! c_member( Y, Z, X ), alpha13( X, Y, Z, T ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.83/1.38 ( Z, U, Y ), ! c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.83/1.38 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ),
% 0.83/1.38 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.83/1.38 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.83/1.38 , U ), X ), c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.83/1.38 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), !
% 0.83/1.38 c_member( Z, U, Y ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z
% 0.83/1.38 , Z, T, U ), X ) }.
% 0.83/1.38 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.83/1.38 ( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.83/1.38 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.83/1.38 , Y, X ) }.
% 0.83/1.38 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.83/1.38 , Y ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.83/1.38 = X }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot
% 0.83/1.38 ( tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ), Y =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.83/1.38 c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ), Y =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ) }.
% 0.83/1.38 { c_Equiv__Relations_Oquotient( Y, c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.83/1.38 , tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Y
% 0.83/1.38 , tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.83/1.38 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 X, T ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) = Y }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = Y }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ), X ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__inf( X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.83/1.38 c_Relation_Oantisym( Z, Y ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.83/1.38 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.83/1.38 Y, Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.83/1.38 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.83/1.38 { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.83/1.38 c_Orderings_Otop__class_Otop( X ) ) }.
% 0.83/1.38 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.83/1.38 hAPP( Y, U ) ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.83/1.38 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.83/1.38 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.83/1.38 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.83/1.38 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.83/1.38 hAPP( Y, U ) ) }.
% 0.83/1.38 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.83/1.38 ( X, Z, Y ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.83/1.38 ( X, Y, Z ) }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.83/1.38 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.83/1.38 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.83/1.38 hAPP( Y, U ) ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.83/1.38 ( Z, skol63( X, Y, Z ) ), hAPP( Y, skol63( X, Y, Z ) ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.83/1.38 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Set_Oinsert( Z, T, X ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = X }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 Y, X ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) = X }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.83/1.38 ) = X }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.83/1.38 ), X ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.83/1.38 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 X, T ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.83/1.38 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.83/1.38 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) }.
% 0.83/1.38 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.83/1.38 , Y ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.83/1.38 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.83/1.38 , Y ) }.
% 0.83/1.38 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.83/1.38 , X ) }.
% 0.83/1.38 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.83/1.38 , Y ) }.
% 0.83/1.38 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.83/1.38 , Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.83/1.38 = Y }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.83/1.38 X ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.83/1.38 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.83/1.38 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.83/1.38 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.83/1.38 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.83/1.38 , X, U ) ) }.
% 0.83/1.38 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.83/1.38 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.83/1.38 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.83/1.38 tc_HOL_Obool ), Y, Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.83/1.38 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.83/1.38 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), X, Z ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.83/1.38 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.83/1.38 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.83/1.38 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( U, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( T, U, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( T, tc_HOL_Obool ), Y, X ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( T, U, Z, Y ), c_Relation_OImage( T, U, Z, X ) ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.83/1.38 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.83/1.38 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.83/1.38 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ORange( Z, T, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.83/1.38 ( tc_prod( Z, T ), tc_HOL_Obool ), Y, X ) ),
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ) ) }.
% 0.83/1.38 { c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.83/1.38 c_Set_Oinsert( tc_fun( Z, tc_HOL_Obool ), c_Relation_OImage( Z, Z, X,
% 0.83/1.38 c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, c_Equiv__Relations_Oquotient( Z, Y, X ) ), ! c_member
% 0.83/1.38 ( tc_fun( Z, tc_HOL_Obool ), U, c_Equiv__Relations_Oquotient( Z, Y, X ) )
% 0.83/1.38 , T = U, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, U ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_member( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Z, Z, T, c_Set_Oinsert( Z, Y,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Equiv__Relations_Oquotient( Z, X, T ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, U, T ), X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, c_Equiv__Relations_Oquotient( Z, Y, X ) ), ! c_member
% 0.83/1.38 ( tc_fun( Z, tc_HOL_Obool ), U, c_Equiv__Relations_Oquotient( Z, Y, X ) )
% 0.83/1.38 , ! c_member( Z, W, T ), ! c_member( Z, V0, U ), ! c_member( tc_prod( Z,
% 0.83/1.38 Z ), c_Product__Type_OPair( Z, Z, W, V0 ), X ), T = U }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, c_Equiv__Relations_Oquotient( Z, Y, X ) ), ! c_member
% 0.83/1.38 ( tc_fun( Z, tc_HOL_Obool ), U, c_Equiv__Relations_Oquotient( Z, Y, X ) )
% 0.83/1.38 , ! c_member( Z, W, T ), ! c_member( Z, V0, U ), ! T = U, c_member(
% 0.83/1.38 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, W, V0 ), X ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), T, c_Equiv__Relations_Oquotient( Z, Y, X ) ), ! c_member
% 0.83/1.38 ( tc_fun( Z, tc_HOL_Obool ), U, c_Equiv__Relations_Oquotient( Z, Y, X ) )
% 0.83/1.38 , ! c_member( Z, W, T ), ! c_member( Z, V0, U ), ! c_member( tc_prod( Z,
% 0.83/1.38 Z ), c_Product__Type_OPair( Z, Z, W, V0 ), X ), T = U }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.83/1.38 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.83/1.38 { ! c_member( tc_fun( T, tc_HOL_Obool ), Z, c_Equiv__Relations_Oquotient( T
% 0.83/1.38 , Y, X ) ), c_member( T, skol64( U, Y, W, T ), Y ) }.
% 0.83/1.38 { ! c_member( tc_fun( T, tc_HOL_Obool ), Z, c_Equiv__Relations_Oquotient( T
% 0.83/1.38 , Y, X ) ), Z = c_Relation_OImage( T, T, X, c_Set_Oinsert( T, skol64( X,
% 0.83/1.38 Y, Z, T ), c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.83/1.38 tc_HOL_Obool ), c_Relation_Oconverse( Y, Y, X ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), ! c_member( tc_prod( Y, Y ),
% 0.83/1.38 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.83/1.38 , X ) ), c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { c_Transitive__Closure_Otrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.83/1.38 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.83/1.38 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.83/1.38 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, T ),
% 0.83/1.38 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.83/1.38 , Z, X ) ) }.
% 0.83/1.38 { c_Relation_OField( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.83/1.38 c_Relation_OField( Y, X ) }.
% 0.83/1.38 { c_Relation_Oconverse( X, X, c_Relation_OId( X ) ) = c_Relation_OId( X ) }
% 0.83/1.38 .
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.83/1.38 c_Relation_Orefl__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Relation_Orefl__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y,
% 0.83/1.38 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.83/1.38 c_Relation_Oantisym( Y, X ) }.
% 0.83/1.38 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.83/1.38 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.83/1.38 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.83/1.38 { ! c_Wellfounded_Oacyclic( Y, X ), c_Wellfounded_Oacyclic( Y,
% 0.83/1.38 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.83/1.38 { c_Relation_Oconverse( Y, Y, c_Relation_OId__on( Y, X ) ) =
% 0.83/1.38 c_Relation_OId__on( Y, X ) }.
% 0.83/1.38 { c_Relation_Oconverse( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = X }.
% 0.83/1.38 { c_Transitive__Closure_Ortrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.83/1.38 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.83/1.38 { ! c_Relation_Ototal__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.83/1.38 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.83/1.38 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.83/1.38 { c_Relation_Oconverse( T, T, c_Relation_Oinv__image( Z, T, Y, X ) ) =
% 0.83/1.38 c_Relation_Oinv__image( Z, T, c_Relation_Oconverse( Z, Z, Y ), X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X )
% 0.83/1.38 ), c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.83/1.38 , X ) ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z,
% 0.83/1.38 X ) ) }.
% 0.83/1.38 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Z, T ),
% 0.83/1.38 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.83/1.38 , Z, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.83/1.38 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.83/1.38 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), X ),
% 0.83/1.38 c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.83/1.38 c_Relation_Oconverse( T, U, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ),
% 0.83/1.38 c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ),
% 0.83/1.38 c_Relation_Oconverse( U, T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.83/1.38 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.83/1.38 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.83/1.38 c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y,
% 0.83/1.38 c_Transitive__Closure_Otrancl( Y, X ) ) ) }.
% 0.83/1.38 { c_Relation_ORange( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.83/1.38 c_Relation_ODomain( Y, Z, X ) }.
% 0.83/1.38 { c_Relation_ODomain( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.83/1.38 c_Relation_ORange( Y, Z, X ) }.
% 0.83/1.38 { c_Relation_ORange( Z, Y, X ) = c_Relation_ODomain( Y, Z,
% 0.83/1.38 c_Relation_Oconverse( Z, Y, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.83/1.38 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T,
% 0.83/1.38 c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, Z ),
% 0.83/1.38 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.83/1.38 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.83/1.38 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.83/1.38 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ) }.
% 0.83/1.38 { ! c_Relation_Osingle__valued( Z, Y, c_Relation_Oconverse( Y, Z, X ) ),
% 0.83/1.38 c_Relation_OImage( Y, Z, X, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.83/1.38 tc_fun( Y, tc_HOL_Obool ), U, T ) ) =
% 0.83/1.38 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Y, Z, X, U ), c_Relation_OImage( Y, Z, X, T ) ) }.
% 0.83/1.38 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.83/1.38 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.83/1.38 X ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.83/1.38 Z, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.83/1.38 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y, X, T ) ), !
% 0.83/1.38 c_member( Y, U, Z ), alpha14( X, Y, T, U ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), c_member( Y, skol65
% 0.83/1.38 ( U, Y, Z, W ), Z ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.83/1.38 , X, T ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.83/1.38 ( Y, tc_HOL_Obool ), T, c_Relation_OField( Y, X ) ), ! alpha14( X, Y, T,
% 0.83/1.38 skol65( X, Y, Z, T ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( Y,
% 0.83/1.38 tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, Z ), c_Relation_OImage( Y, Y
% 0.83/1.38 , X, T ) ) }.
% 0.83/1.38 { ! alpha14( X, Y, Z, T ), c_member( Y, skol66( U, Y, Z, W ), Z ) }.
% 0.83/1.38 { ! alpha14( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.83/1.38 ( Y, Y, skol66( X, Y, Z, T ), T ), X ) }.
% 0.83/1.38 { ! c_member( Y, U, Z ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.83/1.38 ( Y, Y, U, T ), X ), alpha14( X, Y, Z, T ) }.
% 0.83/1.38 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.83/1.38 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Ocongruent( Z, T, Y, X ), ! c_member( tc_prod( Z, Z
% 0.83/1.38 ), c_Product__Type_OPair( Z, Z, W, U ), Y ), hAPP( X, W ) = hAPP( X, U )
% 0.83/1.38 }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_Nat_Onat, hAPP( Z, Y ), hAPP( Z,
% 0.83/1.38 X ) ), ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.83/1.38 T ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, Y, X ),
% 0.83/1.38 c_Wellfounded_Omlex__prod( U, Z, T ) ) }.
% 0.83/1.38 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.83/1.38 c_Wellfounded_Omlex__prod( Y, Z, X ) ) }.
% 0.83/1.38 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_Equiv__Relations_Ocongruent2
% 0.83/1.38 ( Z, V0, W, X, U, T ), ! c_member( Z, V1, Y ),
% 0.83/1.38 c_Equiv__Relations_Ocongruent( V0, W, U, hAPP( T, V1 ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Owell__order__on( Z, Y, X ),
% 0.83/1.38 c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.83/1.38 { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.83/1.38 , c_Relation_OId( Z ) ) ) }.
% 0.83/1.38 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.83/1.38 , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.83/1.38 , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.83/1.38 ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.83/1.38 .
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.83/1.38 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ),
% 0.83/1.38 c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.83/1.38 ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ),
% 0.83/1.38 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ),
% 0.83/1.38 c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod(
% 0.83/1.38 Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.83/1.38 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.83/1.38 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.83/1.38 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.83/1.38 .
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ),
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.83/1.38 ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.83/1.38 { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.83/1.38 ), X, T ) ), c_member( Z, Y, X ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.83/1.38 { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.83/1.38 ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.83/1.38 { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.83/1.38 { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.83/1.38 { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.83/1.38 c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.83/1.38 , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ) ) ) ) }.
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z,
% 0.83/1.38 c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.83/1.38 , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T,
% 0.83/1.38 tc_HOL_Obool ) ) ) ), X ) }.
% 0.83/1.38 { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z,
% 0.83/1.38 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot(
% 0.83/1.38 tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.83/1.38 { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X,
% 0.83/1.38 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.83/1.38 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.83/1.38 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.83/1.38 ( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice( X ),
% 0.83/1.38 class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Obounded__lattice( X ),
% 0.83/1.38 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.83/1.38 ( Y, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.83/1.38 ( Y, X ) ) }.
% 0.83/1.38 { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.83/1.38 ( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.83/1.38 ) ) }.
% 0.83/1.38 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.83/1.38 }.
% 0.83/1.38 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.83/1.38 .
% 0.83/1.38 { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.83/1.38 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.83/1.38 { class_Lattices_Osemilattice__sup( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Lattices_Osemilattice__inf( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Lattices_Odistrib__lattice( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Orderings_Opreorder( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Orderings_Olinorder( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Lattices_Olattice( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Orderings_Oorder( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Orderings_Oord( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Orderings_Obot( tc_Nat_Onat ) }.
% 0.83/1.38 { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.83/1.38 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.83/1.38 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.83/1.38 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.83/1.38 { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), v_L,
% 0.83/1.38 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.83/1.38 { ! v_x = v_y }.
% 0.83/1.38 { alpha28, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y,
% 0.83/1.38 v_x ), v_L ) }.
% 0.83/1.38 { alpha28, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.83/1.38 v_y ), v_L ) }.
% 0.83/1.38 { ! alpha28, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.83/1.38 v_y ), v_L ) }.
% 0.83/1.38 { ! alpha28, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y,
% 0.83/1.38 v_x ), v_L ) }.
% 0.83/1.38 { c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.83/1.38 v_y ), v_L ), c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.83/1.38 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_y,
% 0.83/1.38 v_x ), v_L ), alpha28 }.
% 0.83/1.38
% 0.83/1.38 *** allocated 15000 integers for clauses
% 0.83/1.38 *** allocated 22500 integers for clauses
% 0.83/1.38 *** allocated 33750 integers for clauses
% 0.83/1.38 *** allocated 50625 integers for clauses
% 0.83/1.38 percentage equality = 0.217565, percentage horn = 0.875362
% 0.83/1.38 This is a problem with some equality
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38
% 0.83/1.38 Options Used:
% 0.83/1.38
% 0.83/1.38 useres = 1
% 0.83/1.38 useparamod = 1
% 0.83/1.38 useeqrefl = 1
% 0.83/1.38 useeqfact = 1
% 0.83/1.38 usefactor = 1
% 0.83/1.38 usesimpsplitting = 0
% 0.83/1.38 usesimpdemod = 5
% 0.83/1.38 usesimpres = 3
% 0.83/1.38
% 0.83/1.38 resimpinuse = 1000
% 0.83/1.38 resimpclauses = 20000
% 0.83/1.38 substype = eqrewr
% 0.83/1.38 backwardsubs = 1
% 0.83/1.38 selectoldest = 5
% 0.83/1.38
% 0.83/1.38 litorderings [0] = split
% 0.83/1.38 litorderings [1] = extend the termordering, first sorting on arguments
% 0.83/1.38
% 0.83/1.38 termordering = kbo
% 0.83/1.38
% 0.83/1.38 litapriori = 0
% 0.83/1.38 termapriori = 1
% 0.83/1.38 litaposteriori = 0
% 0.83/1.38 termaposteriori = 0
% 0.83/1.38 demodaposteriori = 0
% 0.83/1.38 ordereqreflfact = 0
% 0.83/1.38
% 0.83/1.38 litselect = negord
% 0.83/1.38
% 0.83/1.38 maxweight = 15
% 0.83/1.38 maxdepth = 30000
% 0.83/1.38 maxlength = 115
% 0.83/1.38 maxnrvars = 195
% 0.83/1.38 excuselevel = 1
% 0.83/1.38 increasemaxweight = 1
% 0.83/1.38
% 0.83/1.38 maxselected = 10000000
% 0.83/1.38 maxnrclauses = 10000000
% 0.83/1.38
% 0.83/1.38 showgenerated = 0
% 0.83/1.38 showkept = 0
% 0.83/1.38 showselected = 0
% 0.83/1.38 showdeleted = 0
% 0.83/1.38 showresimp = 1
% 0.83/1.38 showstatus = 2000
% 0.83/1.38
% 0.83/1.38 prologoutput = 0
% 0.83/1.38 nrgoals = 5000000
% 0.83/1.38 totalproof = 1
% 0.83/1.38
% 0.83/1.38 Symbols occurring in the translation:
% 0.83/1.38
% 0.83/1.38 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.83/1.38 . [1, 2] (w:1, o:114, a:1, s:1, b:0),
% 0.83/1.38 ! [4, 1] (w:0, o:90, a:1, s:1, b:0),
% 0.83/1.38 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.38 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.83/1.38 hAPP [38, 2] (w:1, o:138, a:1, s:1, b:0),
% 0.83/1.38 c_member [43, 3] (w:1, o:169, a:1, s:1, b:0),
% 0.83/1.38 c_FunDef_Oin__rel [48, 5] (w:1, o:263, a:1, s:1, b:0),
% 0.83/1.39 tc_prod [49, 2] (w:1, o:155, a:1, s:1, b:0),
% 0.83/1.39 c_Product__Type_OPair [50, 4] (w:1, o:215, a:1, s:1, b:0),
% 0.83/1.39 hBOOL [53, 1] (w:1, o:95, a:1, s:1, b:0),
% 0.83/1.39 c_Recdef_Osame__fst [54, 4] (w:1, o:216, a:1, s:1, b:0),
% 0.83/1.39 c_Nitpick_Orefl_H [56, 2] (w:1, o:156, a:1, s:1, b:0),
% 0.83/1.39 c_Product__Type_Oprod_Oprod__rec [70, 5] (w:1, o:264, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 c_Wellfounded_Olex__prod [72, 4] (w:1, o:217, a:1, s:1, b:0),
% 0.83/1.39 c_Product__Type_Ointernal__split [73, 5] (w:1, o:265, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 c_Recdef_Owfrec__rel [77, 6] (w:1, o:276, a:1, s:1, b:0),
% 0.83/1.39 tc_HOL_Obool [80, 0] (w:1, o:57, a:1, s:1, b:0),
% 0.83/1.39 c_Product__Type_Ocurry [81, 6] (w:1, o:277, a:1, s:1, b:0),
% 0.83/1.39 c_Recdef_Ocut [82, 5] (w:1, o:266, a:1, s:1, b:0),
% 0.83/1.39 c_fequal [86, 1] (w:1, o:96, a:1, s:1, b:0),
% 0.83/1.39 c_Product__Type_OSigma [87, 4] (w:1, o:218, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Oirrefl [88, 2] (w:1, o:157, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_ORange [89, 3] (w:1, o:170, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_OId__on [90, 2] (w:1, o:158, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_ODomain [91, 3] (w:1, o:171, a:1, s:1, b:0),
% 0.83/1.39 c_Wellfounded_Oacc [92, 2] (w:1, o:159, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Ototal__on [93, 3] (w:1, o:173, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Oinv__image [95, 4] (w:1, o:219, a:1, s:1, b:0),
% 0.83/1.39 c_Transitive__Closure_Ortrancl [96, 2] (w:1, o:161, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Orefl__on [97, 3] (w:1, o:174, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Osingle__valued [99, 3] (w:1, o:172, a:1, s:1, b:0),
% 0.83/1.39 c_Transitive__Closure_Otrancl [110, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.83/1.39 c_Wellfounded_Oacyclic [111, 2] (w:1, o:163, a:1, s:1, b:0),
% 0.83/1.39 c_Nitpick_Owf__wfrec_H [113, 5] (w:1, o:267, a:1, s:1, b:0),
% 0.83/1.39 c_Nitpick_Owf__wfrec [114, 4] (w:1, o:220, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_OId [115, 1] (w:1, o:97, a:1, s:1, b:0),
% 0.83/1.39 c_Set_Oinsert [116, 3] (w:1, o:176, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_Oantisym [117, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.83/1.39 tc_fun [118, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.83/1.39 c_Lattices_Osemilattice__sup__class_Osup [119, 3] (w:1, o:177, a:1
% 0.83/1.39 , s:1, b:0),
% 0.83/1.39 class_Lattices_Olattice [122, 1] (w:1, o:98, a:1, s:1, b:0),
% 0.83/1.39 c_Wellfounded_Owf [124, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.83/1.39 c_Relation_OField [125, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.83/1.39 c_Orderings_Otop__class_Otop [126, 1] (w:1, o:99, a:1, s:1, b:0),
% 0.83/1.39 class_Lattices_Obounded__lattice__top [130, 1] (w:1, o:100, a:1, s:1
% 0.83/1.39 , b:0),
% 0.83/1.39 class_Lattices_Osemilattice__sup [131, 1] (w:1, o:101, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 c_Wellfounded_Omeasure [135, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.83/1.39 class_Orderings_Otop [136, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.83/1.39 c_Orderings_Obot__class_Obot [137, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.83/1.39 c_Recdef_Owfrec [139, 4] (w:1, o:221, a:1, s:1, b:0),
% 0.83/1.39 class_Orderings_Obot [140, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.83/1.39 class_Lattices_Obounded__lattice__bot [142, 1] (w:1, o:105, a:1, s:1
% 0.83/1.39 , b:0),
% 0.83/1.39 c_Set_Othe__elem [144, 2] (w:1, o:160, a:1, s:1, b:0),
% 0.83/1.39 c_Lattices_Osemilattice__inf__class_Oinf [145, 3] (w:1, o:178, a:1
% 0.83/1.39 , s:1, b:0),
% 0.83/1.39 c_Relation_OImage [147, 4] (w:1, o:222, a:1, s:1, b:0),
% 0.83/1.39 class_Lattices_Odistrib__lattice [148, 1] (w:1, o:106, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 class_Lattices_Osemilattice__inf [150, 1] (w:1, o:107, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 c_Order__Relation_Opartial__order__on [151, 3] (w:1, o:179, a:1, s:1
% 0.83/1.39 , b:0),
% 0.83/1.39 c_Equiv__Relations_Oequiv [152, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.83/1.39 c_Equiv__Relations_Oquotient [153, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.83/1.39 c_Orderings_Oord__class_Oless__eq [154, 3] (w:1, o:182, a:1, s:1, b:0
% 0.83/1.39 ),
% 0.83/1.39 c_Order__Relation_Olinear__order__on [155, 3] (w:1, o:183, a:1, s:1
% 0.83/1.39 , b:0),
% 0.83/1.39 class_Orderings_Opreorder [156, 1] (w:1, o:110, a:1, s:1, b:0),
% 0.83/1.39 class_Orderings_Olinorder [159, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.83/1.39 class_Orderings_Oord [160, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.83/1.39 class_Orderings_Oorder [161, 1] (w:1, o:109, a:1, s:1, b:0),
% 0.83/1.39 c_Order__Relation_Opreorder__on [167, 3] (w:1, o:184, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 c_Relation_Oconverse [168, 3] (w:1, o:175, a:1, s:1, b:0),
% 0.83/1.39 c_Order__Relation_Owell__order__on [169, 3] (w:1, o:185, a:1, s:1, b:
% 0.83/1.39 0),
% 0.83/1.39 c_Equiv__Relations_Ocongruent [170, 4] (w:1, o:223, a:1, s:1, b:0),
% 0.83/1.39 tc_Nat_Onat [171, 0] (w:1, o:81, a:1, s:1, b:0),
% 0.83/1.39 c_Wellfounded_Omlex__prod [172, 3] (w:1, o:186, a:1, s:1, b:0),
% 0.83/1.39 c_Equiv__Relations_Ocongruent2 [175, 6] (w:1, o:278, a:1, s:1, b:0),
% 0.83/1.39
% 0.83/1.39 c_Groups_Ominus__class_Ominus [176, 3] (w:1, o:187, a:1, s:1, b:0),
% 0.83/1.39 class_Lattices_Obounded__lattice [177, 1] (w:1, o:112, a:1, s:1, b:0)
% 0.83/1.39 ,
% 0.83/1.39 tc_Arrow__Order__Mirabelle_Oalt [182, 0] (w:1, o:84, a:1, s:1, b:0),
% 0.83/1.39
% 0.83/1.39 v_L [183, 0] (w:1, o:85, a:1, s:1, b:0),
% 0.83/1.39 c_Arrow__Order__Mirabelle_OLin [184, 0] (w:1, o:86, a:1, s:1, b:0),
% 0.83/1.39 v_x [185, 0] (w:1, o:87, a:1, s:1, b:0),
% 0.83/1.39 v_y [186, 0] (w:1, o:88, a:1, s:1, b:0),
% 0.83/1.39 alpha1 [187, 6] (w:1, o:279, a:1, s:1, b:1),
% 0.83/1.39 alpha2 [188, 6] (w:1, o:280, a:1, s:1, b:1),
% 2.87/3.27 alpha3 [189, 6] (w:1, o:282, a:1, s:1, b:1),
% 2.87/3.27 alpha4 [190, 4] (w:1, o:224, a:1, s:1, b:1),
% 2.87/3.27 alpha5 [191, 5] (w:1, o:268, a:1, s:1, b:1),
% 2.87/3.27 alpha6 [192, 4] (w:1, o:225, a:1, s:1, b:1),
% 2.87/3.27 alpha7 [193, 3] (w:1, o:188, a:1, s:1, b:1),
% 2.87/3.27 alpha8 [194, 3] (w:1, o:189, a:1, s:1, b:1),
% 2.87/3.27 alpha9 [195, 4] (w:1, o:226, a:1, s:1, b:1),
% 2.87/3.27 alpha10 [196, 4] (w:1, o:227, a:1, s:1, b:1),
% 2.87/3.27 alpha11 [197, 3] (w:1, o:190, a:1, s:1, b:1),
% 2.87/3.27 alpha12 [198, 3] (w:1, o:191, a:1, s:1, b:1),
% 2.87/3.27 alpha13 [199, 4] (w:1, o:228, a:1, s:1, b:1),
% 2.87/3.27 alpha14 [200, 4] (w:1, o:229, a:1, s:1, b:1),
% 2.87/3.27 alpha15 [201, 4] (w:1, o:230, a:1, s:1, b:1),
% 2.87/3.27 alpha16 [202, 3] (w:1, o:192, a:1, s:1, b:1),
% 2.87/3.27 alpha17 [203, 3] (w:1, o:193, a:1, s:1, b:1),
% 2.87/3.27 alpha18 [204, 4] (w:1, o:231, a:1, s:1, b:1),
% 2.87/3.27 alpha19 [205, 4] (w:1, o:232, a:1, s:1, b:1),
% 2.87/3.27 alpha20 [206, 4] (w:1, o:233, a:1, s:1, b:1),
% 2.87/3.27 alpha21 [207, 4] (w:1, o:234, a:1, s:1, b:1),
% 2.87/3.27 alpha22 [208, 4] (w:1, o:235, a:1, s:1, b:1),
% 2.87/3.27 alpha23 [209, 4] (w:1, o:236, a:1, s:1, b:1),
% 2.87/3.27 alpha24 [210, 6] (w:1, o:281, a:1, s:1, b:1),
% 2.87/3.27 alpha25 [211, 9] (w:1, o:298, a:1, s:1, b:1),
% 2.87/3.27 alpha26 [212, 5] (w:1, o:269, a:1, s:1, b:1),
% 2.87/3.27 alpha27 [213, 4] (w:1, o:237, a:1, s:1, b:1),
% 2.87/3.27 alpha28 [214, 0] (w:1, o:89, a:1, s:1, b:1),
% 2.87/3.27 skol1 [215, 2] (w:1, o:139, a:1, s:1, b:1),
% 2.87/3.27 skol2 [216, 2] (w:1, o:140, a:1, s:1, b:1),
% 2.87/3.27 skol3 [217, 1] (w:1, o:113, a:1, s:1, b:1),
% 2.87/3.27 skol4 [218, 6] (w:1, o:283, a:1, s:1, b:1),
% 2.87/3.27 skol5 [219, 6] (w:1, o:284, a:1, s:1, b:1),
% 2.87/3.27 skol6 [220, 5] (w:1, o:270, a:1, s:1, b:1),
% 2.87/3.27 skol7 [221, 2] (w:1, o:141, a:1, s:1, b:1),
% 2.87/3.27 skol8 [222, 5] (w:1, o:271, a:1, s:1, b:1),
% 2.87/3.27 skol9 [223, 6] (w:1, o:287, a:1, s:1, b:1),
% 2.87/3.27 skol10 [224, 6] (w:1, o:288, a:1, s:1, b:1),
% 2.87/3.27 skol11 [225, 6] (w:1, o:289, a:1, s:1, b:1),
% 2.87/3.27 skol12 [226, 3] (w:1, o:194, a:1, s:1, b:1),
% 2.87/3.27 skol13 [227, 3] (w:1, o:195, a:1, s:1, b:1),
% 2.87/3.27 skol14 [228, 4] (w:1, o:238, a:1, s:1, b:1),
% 2.87/3.27 skol15 [229, 4] (w:1, o:239, a:1, s:1, b:1),
% 2.87/3.27 skol16 [230, 4] (w:1, o:240, a:1, s:1, b:1),
% 2.87/3.27 skol17 [231, 3] (w:1, o:196, a:1, s:1, b:1),
% 2.87/3.27 skol18 [232, 4] (w:1, o:241, a:1, s:1, b:1),
% 2.87/3.27 skol19 [233, 4] (w:1, o:242, a:1, s:1, b:1),
% 2.87/3.27 skol20 [234, 3] (w:1, o:197, a:1, s:1, b:1),
% 2.87/3.27 skol21 [235, 3] (w:1, o:198, a:1, s:1, b:1),
% 2.87/3.27 skol22 [236, 3] (w:1, o:199, a:1, s:1, b:1),
% 2.87/3.27 skol23 [237, 5] (w:1, o:272, a:1, s:1, b:1),
% 2.87/3.27 skol24 [238, 6] (w:1, o:290, a:1, s:1, b:1),
% 2.87/3.27 skol25 [239, 6] (w:1, o:291, a:1, s:1, b:1),
% 2.87/3.27 skol26 [240, 6] (w:1, o:292, a:1, s:1, b:1),
% 2.87/3.27 skol27 [241, 7] (w:1, o:296, a:1, s:1, b:1),
% 2.87/3.27 skol28 [242, 3] (w:1, o:200, a:1, s:1, b:1),
% 2.87/3.27 skol29 [243, 4] (w:1, o:243, a:1, s:1, b:1),
% 2.87/3.27 skol30 [244, 4] (w:1, o:244, a:1, s:1, b:1),
% 2.87/3.27 skol31 [245, 4] (w:1, o:245, a:1, s:1, b:1),
% 2.87/3.27 skol32 [246, 4] (w:1, o:246, a:1, s:1, b:1),
% 2.87/3.27 skol33 [247, 4] (w:1, o:247, a:1, s:1, b:1),
% 2.87/3.27 skol34 [248, 4] (w:1, o:248, a:1, s:1, b:1),
% 2.87/3.27 skol35 [249, 4] (w:1, o:249, a:1, s:1, b:1),
% 2.87/3.27 skol36 [250, 2] (w:1, o:142, a:1, s:1, b:1),
% 2.87/3.27 skol37 [251, 2] (w:1, o:143, a:1, s:1, b:1),
% 2.87/3.27 skol38 [252, 4] (w:1, o:250, a:1, s:1, b:1),
% 2.87/3.27 skol39 [253, 4] (w:1, o:251, a:1, s:1, b:1),
% 2.87/3.27 skol40 [254, 2] (w:1, o:144, a:1, s:1, b:1),
% 2.87/3.27 skol41 [255, 2] (w:1, o:145, a:1, s:1, b:1),
% 2.87/3.27 skol42 [256, 4] (w:1, o:252, a:1, s:1, b:1),
% 2.87/3.27 skol43 [257, 3] (w:1, o:201, a:1, s:1, b:1),
% 2.87/3.27 skol44 [258, 3] (w:1, o:202, a:1, s:1, b:1),
% 2.87/3.27 skol45 [259, 4] (w:1, o:253, a:1, s:1, b:1),
% 2.87/3.27 skol46 [260, 3] (w:1, o:203, a:1, s:1, b:1),
% 2.87/3.27 skol47 [261, 3] (w:1, o:204, a:1, s:1, b:1),
% 2.87/3.27 skol48 [262, 2] (w:1, o:146, a:1, s:1, b:1),
% 2.87/3.27 skol49 [263, 4] (w:1, o:254, a:1, s:1, b:1),
% 2.87/3.27 skol50 [264, 4] (w:1, o:255, a:1, s:1, b:1),
% 2.87/3.27 skol51 [265, 2] (w:1, o:147, a:1, s:1, b:1),
% 2.87/3.27 skol52 [266, 2] (w:1, o:148, a:1, s:1, b:1),
% 2.87/3.27 skol53 [267, 2] (w:1, o:149, a:1, s:1, b:1),
% 20.73/21.10 skol54 [268, 2] (w:1, o:150, a:1, s:1, b:1),
% 20.73/21.10 skol55 [269, 3] (w:1, o:205, a:1, s:1, b:1),
% 20.73/21.10 skol56 [270, 2] (w:1, o:151, a:1, s:1, b:1),
% 20.73/21.10 skol57 [271, 3] (w:1, o:206, a:1, s:1, b:1),
% 20.73/21.10 skol58 [272, 4] (w:1, o:256, a:1, s:1, b:1),
% 20.73/21.10 skol59 [273, 3] (w:1, o:207, a:1, s:1, b:1),
% 20.73/21.10 skol60 [274, 3] (w:1, o:208, a:1, s:1, b:1),
% 20.73/21.10 skol61 [275, 5] (w:1, o:273, a:1, s:1, b:1),
% 20.73/21.10 skol62 [276, 5] (w:1, o:274, a:1, s:1, b:1),
% 20.73/21.10 skol63 [277, 3] (w:1, o:209, a:1, s:1, b:1),
% 20.73/21.10 skol64 [278, 4] (w:1, o:257, a:1, s:1, b:1),
% 20.73/21.10 skol65 [279, 4] (w:1, o:258, a:1, s:1, b:1),
% 20.73/21.10 skol66 [280, 4] (w:1, o:259, a:1, s:1, b:1),
% 20.73/21.10 skol67 [281, 3] (w:1, o:210, a:1, s:1, b:1),
% 20.73/21.10 skol68 [282, 5] (w:1, o:275, a:1, s:1, b:1),
% 20.73/21.10 skol69 [283, 3] (w:1, o:211, a:1, s:1, b:1),
% 20.73/21.10 skol70 [284, 6] (w:1, o:293, a:1, s:1, b:1),
% 20.73/21.10 skol71 [285, 6] (w:1, o:294, a:1, s:1, b:1),
% 20.73/21.10 skol72 [286, 6] (w:1, o:295, a:1, s:1, b:1),
% 20.73/21.10 skol73 [287, 7] (w:1, o:297, a:1, s:1, b:1),
% 20.73/21.10 skol74 [288, 3] (w:1, o:212, a:1, s:1, b:1),
% 20.73/21.10 skol75 [289, 4] (w:1, o:260, a:1, s:1, b:1),
% 20.73/21.10 skol76 [290, 2] (w:1, o:152, a:1, s:1, b:1),
% 20.73/21.10 skol77 [291, 4] (w:1, o:261, a:1, s:1, b:1),
% 20.73/21.10 skol78 [292, 4] (w:1, o:262, a:1, s:1, b:1),
% 20.73/21.10 skol79 [293, 2] (w:1, o:153, a:1, s:1, b:1),
% 20.73/21.10 skol80 [294, 2] (w:1, o:154, a:1, s:1, b:1),
% 20.73/21.10 skol81 [295, 3] (w:1, o:213, a:1, s:1, b:1),
% 20.73/21.10 skol82 [296, 6] (w:1, o:285, a:1, s:1, b:1),
% 20.73/21.10 skol83 [297, 3] (w:1, o:214, a:1, s:1, b:1),
% 20.73/21.10 skol84 [298, 6] (w:1, o:286, a:1, s:1, b:1).
% 20.73/21.10
% 20.73/21.10
% 20.73/21.10 Starting Search:
% 20.73/21.10
% 20.73/21.10 *** allocated 75937 integers for clauses
% 20.73/21.10 *** allocated 113905 integers for clauses
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 170857 integers for clauses
% 20.73/21.10 *** allocated 113905 integers for termspace/termends
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 4065
% 20.73/21.10 Kept: 2008
% 20.73/21.10 Inuse: 130
% 20.73/21.10 Deleted: 1
% 20.73/21.10 Deletedinuse: 1
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 256285 integers for clauses
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 170857 integers for termspace/termends
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 7734
% 20.73/21.10 Kept: 4021
% 20.73/21.10 Inuse: 211
% 20.73/21.10 Deleted: 16
% 20.73/21.10 Deletedinuse: 16
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 384427 integers for clauses
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 256285 integers for termspace/termends
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 12634
% 20.73/21.10 Kept: 6028
% 20.73/21.10 Inuse: 296
% 20.73/21.10 Deleted: 20
% 20.73/21.10 Deletedinuse: 20
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 576640 integers for clauses
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 17591
% 20.73/21.10 Kept: 8234
% 20.73/21.10 Inuse: 371
% 20.73/21.10 Deleted: 27
% 20.73/21.10 Deletedinuse: 27
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 *** allocated 384427 integers for termspace/termends
% 20.73/21.10 *** allocated 864960 integers for clauses
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 22134
% 20.73/21.10 Kept: 11520
% 20.73/21.10 Inuse: 428
% 20.73/21.10 Deleted: 28
% 20.73/21.10 Deletedinuse: 28
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10 Resimplifying inuse:
% 20.73/21.10 Done
% 20.73/21.10
% 20.73/21.10
% 20.73/21.10 Intermediate Status:
% 20.73/21.10 Generated: 25604
% 20.73/21.10 Kept: 13938
% 20.73/21.11 Inuse: 484
% 20.73/21.11 Deleted: 33
% 20.73/21.11 Deletedinuse: 33
% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
% 20.73/21.11 Done
% 20.73/21.11
% 20.73/21.11 *** allocated 576640 integers for termspace/termends
% 20.73/21.11 Resimplifying inuse:
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% 20.73/21.11
% 20.73/21.11 Intermediate Status:
% 20.73/21.11 Generated: 31802
% 20.73/21.11 Kept: 16333
% 20.73/21.11 Inuse: 545
% 20.73/21.11 Deleted: 36
% 20.73/21.11 Deletedinuse: 35
% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
% 20.73/21.11 Done
% 20.73/21.11
% 20.73/21.11 *** allocated 1297440 integers for clauses
% 20.73/21.11 Resimplifying inuse:
% 20.73/21.11 Done
% 20.73/21.11
% 20.73/21.11 *** allocated 864960 integers for termspace/termends
% 20.73/21.11
% 20.73/21.11 Intermediate Status:
% 20.73/21.11 Generated: 38730
% 20.73/21.11 Kept: 18579
% 20.73/21.11 Inuse: 595
% 20.73/21.11 Deleted: 36
% 20.73/21.11 Deletedinuse: 35
% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
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% 20.73/21.11 Resimplifying clauses:
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% 20.73/21.11
% 20.73/21.11 Intermediate Status:
% 20.73/21.11 Generated: 44987
% 20.73/21.11 Kept: 20973
% 20.73/21.11 Inuse: 630
% 20.73/21.11 Deleted: 208
% 20.73/21.11 Deletedinuse: 36
% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
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% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
% 20.73/21.11 Done
% 20.73/21.11
% 20.73/21.11 *** allocated 1297440 integers for termspace/termends
% 20.73/21.11
% 20.73/21.11 Intermediate Status:
% 20.73/21.11 Generated: 51163
% 20.73/21.11 Kept: 23382
% 20.73/21.11 Inuse: 655
% 20.73/21.11 Deleted: 208
% 20.73/21.11 Deletedinuse: 36
% 20.73/21.11
% 20.73/21.11 Resimplifying inuse:
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% 20.73/21.11
% 20.73/21.11 *** allocated 1946160 integers for clauses
% 66.29/66.68 Resimplifying inuse:
% 66.29/66.68 Done
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 58633
% 66.29/66.68 Kept: 26008
% 66.29/66.68 Inuse: 665
% 66.29/66.68 Deleted: 208
% 66.29/66.68 Deletedinuse: 36
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 64490
% 66.29/66.68 Kept: 28056
% 66.29/66.68 Inuse: 678
% 66.29/66.68 Deleted: 208
% 66.29/66.68 Deletedinuse: 36
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 71660
% 66.29/66.68 Kept: 30139
% 66.29/66.68 Inuse: 700
% 66.29/66.68 Deleted: 208
% 66.29/66.68 Deletedinuse: 36
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
% 66.29/66.68 Done
% 66.29/66.68
% 66.29/66.68 *** allocated 1946160 integers for termspace/termends
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 75944
% 66.29/66.68 Kept: 32161
% 66.29/66.68 Inuse: 760
% 66.29/66.68 Deleted: 209
% 66.29/66.68 Deletedinuse: 37
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 82488
% 66.29/66.68 Kept: 34563
% 66.29/66.68 Inuse: 785
% 66.29/66.68 Deleted: 210
% 66.29/66.68 Deletedinuse: 38
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 88336
% 66.29/66.68 Kept: 36818
% 66.29/66.68 Inuse: 805
% 66.29/66.68 Deleted: 214
% 66.29/66.68 Deletedinuse: 42
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
% 66.29/66.68 Done
% 66.29/66.68
% 66.29/66.68 *** allocated 2919240 integers for clauses
% 66.29/66.68 Resimplifying inuse:
% 66.29/66.68 Done
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 94193
% 66.29/66.68 Kept: 38836
% 66.29/66.68 Inuse: 816
% 66.29/66.68 Deleted: 214
% 66.29/66.68 Deletedinuse: 42
% 66.29/66.68
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 98359
% 66.29/66.68 Kept: 41399
% 66.29/66.68 Inuse: 819
% 66.29/66.68 Deleted: 214
% 66.29/66.68 Deletedinuse: 42
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying clauses:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 103917
% 66.29/66.68 Kept: 43470
% 66.29/66.68 Inuse: 835
% 66.29/66.68 Deleted: 319
% 66.29/66.68 Deletedinuse: 42
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 108035
% 66.29/66.68 Kept: 45494
% 66.29/66.68 Inuse: 852
% 66.29/66.68 Deleted: 319
% 66.29/66.68 Deletedinuse: 42
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 113546
% 66.29/66.68 Kept: 47666
% 66.29/66.68 Inuse: 885
% 66.29/66.68 Deleted: 320
% 66.29/66.68 Deletedinuse: 43
% 66.29/66.68
% 66.29/66.68 *** allocated 2919240 integers for termspace/termends
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 118459
% 66.29/66.68 Kept: 49667
% 66.29/66.68 Inuse: 906
% 66.29/66.68 Deleted: 322
% 66.29/66.68 Deletedinuse: 45
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 126604
% 66.29/66.68 Kept: 52093
% 66.29/66.68 Inuse: 945
% 66.29/66.68 Deleted: 323
% 66.29/66.68 Deletedinuse: 46
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 132827
% 66.29/66.68 Kept: 54673
% 66.29/66.68 Inuse: 965
% 66.29/66.68 Deleted: 323
% 66.29/66.68 Deletedinuse: 46
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 137077
% 66.29/66.68 Kept: 56727
% 66.29/66.68 Inuse: 1010
% 66.29/66.68 Deleted: 329
% 66.29/66.68 Deletedinuse: 52
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 *** allocated 4378860 integers for clauses
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 140934
% 66.29/66.68 Kept: 58750
% 66.29/66.68 Inuse: 1084
% 66.29/66.68 Deleted: 332
% 66.29/66.68 Deletedinuse: 54
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 149077
% 66.29/66.68 Kept: 62459
% 66.29/66.68 Inuse: 1147
% 66.29/66.68 Deleted: 347
% 66.29/66.68 Deletedinuse: 67
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying clauses:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 156936
% 66.29/66.68 Kept: 64491
% 66.29/66.68 Inuse: 1164
% 66.29/66.68 Deleted: 768
% 66.29/66.68 Deletedinuse: 68
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 168077
% 66.29/66.68 Kept: 67086
% 66.29/66.68 Inuse: 1187
% 66.29/66.68 Deleted: 768
% 66.29/66.68 Deletedinuse: 68
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 177148
% 66.29/66.68 Kept: 69856
% 66.29/66.68 Inuse: 1214
% 66.29/66.68 Deleted: 771
% 66.29/66.68 Deletedinuse: 71
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 185765
% 66.29/66.68 Kept: 73081
% 66.29/66.68 Inuse: 1242
% 66.29/66.68 Deleted: 771
% 66.29/66.68 Deletedinuse: 71
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 191209
% 66.29/66.68 Kept: 75115
% 66.29/66.68 Inuse: 1262
% 66.29/66.68 Deleted: 774
% 66.29/66.68 Deletedinuse: 74
% 66.29/66.68
% 66.29/66.68 *** allocated 4378860 integers for termspace/termends
% 66.29/66.68 Resimplifying inuse:
% 66.29/66.68 Done
% 66.29/66.68
% 66.29/66.68 Resimplifying inuse:
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% 66.29/66.68
% 66.29/66.68
% 66.29/66.68 Intermediate Status:
% 66.29/66.68 Generated: 198445
% 66.29/66.68 Kept: 77117
% 66.29/66.68 Inuse: 1280
% 66.29/66.68 Deleted: 774
% 66.29/66.68 Deletedinuse: 74
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 204690
% 147.98/148.42 Kept: 79122
% 147.98/148.42 Inuse: 1302
% 147.98/148.42 Deleted: 774
% 147.98/148.42 Deletedinuse: 74
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 209564
% 147.98/148.42 Kept: 81168
% 147.98/148.42 Inuse: 1347
% 147.98/148.42 Deleted: 776
% 147.98/148.42 Deletedinuse: 76
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying clauses:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 215232
% 147.98/148.42 Kept: 83294
% 147.98/148.42 Inuse: 1402
% 147.98/148.42 Deleted: 1121
% 147.98/148.42 Deletedinuse: 79
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 220945
% 147.98/148.42 Kept: 85326
% 147.98/148.42 Inuse: 1438
% 147.98/148.42 Deleted: 1122
% 147.98/148.42 Deletedinuse: 80
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 225838
% 147.98/148.42 Kept: 87327
% 147.98/148.42 Inuse: 1456
% 147.98/148.42 Deleted: 1122
% 147.98/148.42 Deletedinuse: 80
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 *** allocated 6568290 integers for clauses
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 233201
% 147.98/148.42 Kept: 90473
% 147.98/148.42 Inuse: 1482
% 147.98/148.42 Deleted: 1123
% 147.98/148.42 Deletedinuse: 81
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 240940
% 147.98/148.42 Kept: 93614
% 147.98/148.42 Inuse: 1498
% 147.98/148.42 Deleted: 1140
% 147.98/148.42 Deletedinuse: 94
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 251772
% 147.98/148.42 Kept: 95989
% 147.98/148.42 Inuse: 1505
% 147.98/148.42 Deleted: 1171
% 147.98/148.42 Deletedinuse: 97
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 260126
% 147.98/148.42 Kept: 98612
% 147.98/148.42 Inuse: 1520
% 147.98/148.42 Deleted: 1183
% 147.98/148.42 Deletedinuse: 99
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 268857
% 147.98/148.42 Kept: 101819
% 147.98/148.42 Inuse: 1535
% 147.98/148.42 Deleted: 1188
% 147.98/148.42 Deletedinuse: 99
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying clauses:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 275113
% 147.98/148.42 Kept: 103925
% 147.98/148.42 Inuse: 1575
% 147.98/148.42 Deleted: 2275
% 147.98/148.42 Deletedinuse: 100
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 279064
% 147.98/148.42 Kept: 106090
% 147.98/148.42 Inuse: 1625
% 147.98/148.42 Deleted: 2281
% 147.98/148.42 Deletedinuse: 106
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 283119
% 147.98/148.42 Kept: 108363
% 147.98/148.42 Inuse: 1650
% 147.98/148.42 Deleted: 2282
% 147.98/148.42 Deletedinuse: 107
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 287575
% 147.98/148.42 Kept: 110426
% 147.98/148.42 Inuse: 1685
% 147.98/148.42 Deleted: 2284
% 147.98/148.42 Deletedinuse: 109
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 295460
% 147.98/148.42 Kept: 113669
% 147.98/148.42 Inuse: 1749
% 147.98/148.42 Deleted: 2289
% 147.98/148.42 Deletedinuse: 113
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42 Resimplifying inuse:
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% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 301716
% 147.98/148.42 Kept: 115767
% 147.98/148.42 Inuse: 1779
% 147.98/148.42 Deleted: 2289
% 147.98/148.42 Deletedinuse: 113
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 308072
% 147.98/148.42 Kept: 118428
% 147.98/148.42 Inuse: 1782
% 147.98/148.42 Deleted: 2289
% 147.98/148.42 Deletedinuse: 113
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 314417
% 147.98/148.42 Kept: 120440
% 147.98/148.42 Inuse: 1808
% 147.98/148.42 Deleted: 2291
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 *** allocated 6568290 integers for termspace/termends
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 319198
% 147.98/148.42 Kept: 122652
% 147.98/148.42 Inuse: 1833
% 147.98/148.42 Deleted: 2292
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 Resimplifying clauses:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 327351
% 147.98/148.42 Kept: 124662
% 147.98/148.42 Inuse: 1878
% 147.98/148.42 Deleted: 2532
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 332658
% 147.98/148.42 Kept: 126734
% 147.98/148.42 Inuse: 1908
% 147.98/148.42 Deleted: 2532
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 346429
% 147.98/148.42 Kept: 129629
% 147.98/148.42 Inuse: 1928
% 147.98/148.42 Deleted: 2532
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 147.98/148.42 Generated: 360523
% 147.98/148.42 Kept: 131802
% 147.98/148.42 Inuse: 1938
% 147.98/148.42 Deleted: 2532
% 147.98/148.42 Deletedinuse: 115
% 147.98/148.42
% 147.98/148.42 Resimplifying inuse:
% 147.98/148.42 Done
% 147.98/148.42
% 147.98/148.42
% 147.98/148.42 Intermediate Status:
% 233.77/234.28 Generated: 368735
% 233.77/234.28 Kept: 134020
% 233.77/234.28 Inuse: 1950
% 233.77/234.28 Deleted: 2533
% 233.77/234.28 Deletedinuse: 116
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 *** allocated 9852435 integers for clauses
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 373676
% 233.77/234.28 Kept: 136303
% 233.77/234.28 Inuse: 1968
% 233.77/234.28 Deleted: 2534
% 233.77/234.28 Deletedinuse: 117
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 380684
% 233.77/234.28 Kept: 138708
% 233.77/234.28 Inuse: 1988
% 233.77/234.28 Deleted: 2535
% 233.77/234.28 Deletedinuse: 118
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 388423
% 233.77/234.28 Kept: 141289
% 233.77/234.28 Inuse: 2013
% 233.77/234.28 Deleted: 2539
% 233.77/234.28 Deletedinuse: 122
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 398584
% 233.77/234.28 Kept: 143406
% 233.77/234.28 Inuse: 2028
% 233.77/234.28 Deleted: 2539
% 233.77/234.28 Deletedinuse: 122
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying clauses:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 404126
% 233.77/234.28 Kept: 145478
% 233.77/234.28 Inuse: 2043
% 233.77/234.28 Deleted: 2610
% 233.77/234.28 Deletedinuse: 122
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 411550
% 233.77/234.28 Kept: 147493
% 233.77/234.28 Inuse: 2092
% 233.77/234.28 Deleted: 2611
% 233.77/234.28 Deletedinuse: 123
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 422138
% 233.77/234.28 Kept: 150452
% 233.77/234.28 Inuse: 2139
% 233.77/234.28 Deleted: 2612
% 233.77/234.28 Deletedinuse: 123
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 436454
% 233.77/234.28 Kept: 153877
% 233.77/234.28 Inuse: 2182
% 233.77/234.28 Deleted: 2613
% 233.77/234.28 Deletedinuse: 124
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 443412
% 233.77/234.28 Kept: 155951
% 233.77/234.28 Inuse: 2232
% 233.77/234.28 Deleted: 2613
% 233.77/234.28 Deletedinuse: 124
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 450019
% 233.77/234.28 Kept: 157955
% 233.77/234.28 Inuse: 2299
% 233.77/234.28 Deleted: 2616
% 233.77/234.28 Deletedinuse: 125
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 457283
% 233.77/234.28 Kept: 160142
% 233.77/234.28 Inuse: 2344
% 233.77/234.28 Deleted: 2618
% 233.77/234.28 Deletedinuse: 126
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 462725
% 233.77/234.28 Kept: 162172
% 233.77/234.28 Inuse: 2379
% 233.77/234.28 Deleted: 2618
% 233.77/234.28 Deletedinuse: 126
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying clauses:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 470920
% 233.77/234.28 Kept: 164815
% 233.77/234.28 Inuse: 2399
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 486994
% 233.77/234.28 Kept: 169307
% 233.77/234.28 Inuse: 2429
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 492917
% 233.77/234.28 Kept: 171484
% 233.77/234.28 Inuse: 2454
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 499740
% 233.77/234.28 Kept: 173712
% 233.77/234.28 Inuse: 2464
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 506722
% 233.77/234.28 Kept: 175992
% 233.77/234.28 Inuse: 2479
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 *** allocated 9852435 integers for termspace/termends
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 521484
% 233.77/234.28 Kept: 179528
% 233.77/234.28 Inuse: 2489
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 546493
% 233.77/234.28 Kept: 184345
% 233.77/234.28 Inuse: 2504
% 233.77/234.28 Deleted: 2979
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying clauses:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 558019
% 233.77/234.28 Kept: 186945
% 233.77/234.28 Inuse: 2519
% 233.77/234.28 Deleted: 3036
% 233.77/234.28 Deletedinuse: 127
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 562486
% 233.77/234.28 Kept: 188949
% 233.77/234.28 Inuse: 2554
% 233.77/234.28 Deleted: 3038
% 233.77/234.28 Deletedinuse: 129
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: 568018
% 233.77/234.28 Kept: 191469
% 233.77/234.28 Inuse: 2649
% 233.77/234.28 Deleted: 3038
% 233.77/234.28 Deletedinuse: 129
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28 Resimplifying inuse:
% 233.77/234.28 Done
% 233.77/234.28
% 233.77/234.28
% 233.77/234.28 Intermediate Status:
% 233.77/234.28 Generated: Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------