TSTP Solution File: SCT108+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SCT108+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n015.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 21:01:18 EDT 2022
% Result : Timeout 300.05s 300.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SCT108+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jul 1 23:18:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.96/1.35 *** allocated 10000 integers for termspace/termends
% 0.96/1.35 *** allocated 10000 integers for clauses
% 0.96/1.35 *** allocated 10000 integers for justifications
% 0.96/1.35 *** allocated 15000 integers for termspace/termends
% 0.96/1.35 Bliksem 1.12
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Automatic Strategy Selection
% 0.96/1.35
% 0.96/1.35 *** allocated 22500 integers for termspace/termends
% 0.96/1.35 *** allocated 33750 integers for termspace/termends
% 0.96/1.35 *** allocated 50625 integers for termspace/termends
% 0.96/1.35 *** allocated 75937 integers for termspace/termends
% 0.96/1.35
% 0.96/1.35 Clauses:
% 0.96/1.35
% 0.96/1.35 { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.96/1.35 { ! Y = X, alpha25( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.96/1.35 { ! Y = X, alpha25( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.96/1.35 { ! alpha25( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.96/1.35 { ! alpha25( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha25( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_FunDef_Oin__rel( U, T, Z, Y, X ), c_member( tc_prod( U, T ),
% 0.96/1.35 c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ),
% 0.96/1.35 c_FunDef_Oin__rel( U, T, Z, Y, X ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ),
% 0.96/1.35 c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod(
% 0.96/1.35 tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.96/1.35 , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol2( X, Y ),
% 0.96/1.35 skol2( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Z, skol3( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair(
% 0.96/1.35 Y, X, T, U ) ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol67( X, Y, Z ), skol83
% 0.96/1.35 ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.96/1.35 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.96/1.35 ), T = Y }.
% 0.96/1.35 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.96/1.35 ), Z = X }.
% 0.96/1.35 { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) =
% 0.96/1.35 c_Product__Type_OPair( W, U, Y, X ) }.
% 0.96/1.35 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.96/1.35 ), T = Y }.
% 0.96/1.35 { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.96/1.35 ), Z = X }.
% 0.96/1.35 { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.96/1.35 { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.96/1.35 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.96/1.35 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.96/1.35 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.96/1.35 , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha1( X, Z, T, U, W
% 0.96/1.35 , V0 ) }.
% 0.96/1.35 { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.96/1.35 , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ),
% 0.96/1.35 c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T,
% 0.96/1.35 Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.96/1.35 { ! alpha1( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ),
% 0.96/1.35 tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod(
% 0.96/1.35 V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair(
% 0.96/1.35 V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.96/1.35 { ! alpha1( X, Y, Z, T, U, W ), U = Z }.
% 0.96/1.35 { ! alpha1( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ),
% 0.96/1.35 c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.96/1.35 { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.96/1.35 , X ), alpha1( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), ! c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.96/1.35 { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.96/1.35 , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP(
% 0.96/1.35 hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol4( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha2
% 0.96/1.35 ( Y, Z, T, U, W, skol4( X, Y, Z, T, U, W ) ) }.
% 0.96/1.35 { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha2( Y, Z, T,
% 0.96/1.35 U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! alpha2( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.96/1.35 , Y, V0, hAPP( W, V0 ) ) }.
% 0.96/1.35 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol5( X, V0, Z,
% 0.96/1.35 V1, U, V2 ), X ), Z ), alpha2( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol5( X, Y, Z, T, U, W ), hAPP( W,
% 0.96/1.35 skol5( X, Y, Z, T, U, W ) ) ), alpha2( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL(
% 0.96/1.35 c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.96/1.35 hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.96/1.35 { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), !
% 0.96/1.35 c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ),
% 0.96/1.35 hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.96/1.35 { ! hAPP( T, skol6( X, V0, V1, T, V2 ) ) = hAPP( X, skol6( X, V0, V1, T, V2
% 0.96/1.35 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }.
% 0.96/1.35 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol6( X, Y, Z, T
% 0.96/1.35 , W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.96/1.35 , Z, Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ),
% 0.96/1.35 hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.96/1.35 { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.96/1.35 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.96/1.35 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.96/1.35 { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL(
% 0.96/1.35 hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.96/1.35 { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z,
% 0.96/1.35 c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol7( X,
% 0.96/1.35 Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha3( Y, Z, T, U, W, skol7
% 0.96/1.35 ( X, Y, Z, T, U, W ) ) }.
% 0.96/1.35 { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha3( Y, Z, T, U, W, V0 ),
% 0.96/1.35 c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.96/1.35 { ! alpha3( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.96/1.35 , Y, V0, hAPP( W, V0 ) ) }.
% 0.96/1.35 { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol8( X, V0, Z,
% 0.96/1.35 V1, U, V2 ), X ), Z ), alpha3( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol8( X, Y, Z, T, U, W ), hAPP( W,
% 0.96/1.35 skol8( X, Y, Z, T, U, W ) ) ), alpha3( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol9( V0, V1, V2
% 0.96/1.35 , T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP( Y
% 0.96/1.35 , X ), U ) ) }.
% 0.96/1.35 { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol9( X, Y, Z, T, U, W ), hAPP( X,
% 0.96/1.35 skol9( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.96/1.35 ( hAPP( Y, X ), U ) ) }.
% 0.96/1.35 { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), skol10,
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.96/1.35 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.96/1.35 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { ! c_member( Z, skol11( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.96/1.35 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol11( X, Y, Z )
% 0.96/1.35 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.96/1.35 ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T,
% 0.96/1.35 c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.96/1.35 , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), c_Relation_Oconverse(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X ),
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 tc_HOL_Obool ), X, c_Arrow__Order__Mirabelle_OLin ) }.
% 0.96/1.35 { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X,
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Oconverse( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, X ), c_Arrow__Order__Mirabelle_OLin ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( Z, Y, X ), ! c_member( W, U, hAPP( T, Y ) ), c_member(
% 0.96/1.35 tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.96/1.35 c_Product__Type_OSigma( Z, W, X, T ) ) }.
% 0.96/1.35 { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol12( X, Y ),
% 0.96/1.35 skol12( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ),
% 0.96/1.35 c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.96/1.35 { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.96/1.35 { c_Relation_Oconverse( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = X }.
% 0.96/1.35 { c_Relation_Oconverse( Y, Y, c_Relation_OId__on( Y, X ) ) =
% 0.96/1.35 c_Relation_OId__on( Y, X ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.96/1.35 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.96/1.35 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ),
% 0.96/1.35 c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ),
% 0.96/1.35 c_Relation_Oconverse( U, T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.96/1.35 c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ),
% 0.96/1.35 c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), X ),
% 0.96/1.35 c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ),
% 0.96/1.35 c_Relation_Oconverse( T, U, X ) ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.96/1.35 ), c_Product__Type_OPair( Y, T, skol13( X, Y, Z, T ), Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ),
% 0.96/1.35 c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.96/1.35 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.96/1.35 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( tc_prod( W, T ), c_Product__Type_OPair( W, T, Z, Y ),
% 0.96/1.35 c_Product__Type_OSigma( W, T, U, X ) ), c_member( T, Y, hAPP( X, Z ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( tc_prod( Z, W ), c_Product__Type_OPair( Z, W, Y, U ),
% 0.96/1.35 c_Product__Type_OSigma( Z, W, X, T ) ), c_member( Z, Y, X ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.96/1.35 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( W, T, Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.96/1.35 c_Product__Type_OSigma( W, U, Y, X ) ), c_member( U, Z, hAPP( X, T ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( W, T, Y ), ! c_member( U, Z, hAPP( X, T ) ), c_member(
% 0.96/1.35 tc_prod( W, U ), c_Product__Type_OPair( W, U, T, Z ),
% 0.96/1.35 c_Product__Type_OSigma( W, U, Y, X ) ) }.
% 0.96/1.35 { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y =
% 0.96/1.35 c_Product__Type_OPair( Z, Z, skol14( T, Y, Z ), skol14( T, Y, Z ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.96/1.35 , skol14( X, Y, Z ), X ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.96/1.35 ), c_Product__Type_OPair( Y, T, skol15( X, Y, Z, T ), Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.96/1.35 c_member( U, skol16( W, Y, V0, V1, U ), Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ),
% 0.96/1.35 c_member( T, skol68( X, Y, Z, T, U ), hAPP( X, skol16( X, Y, Z, T, U ) )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), Z, c_Product__Type_OSigma( U, T, Y, X ) ), Z
% 0.96/1.35 = c_Product__Type_OPair( U, T, skol16( X, Y, Z, T, U ), skol68( X, Y, Z
% 0.96/1.35 , T, U ) ) }.
% 0.96/1.35 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol17( X, T
% 0.96/1.35 , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, skol17( X, Y, Z ), Y ), X ) }.
% 0.96/1.35 { ! c_member( Z, skol18( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.96/1.35 ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol18( X, Y, Z )
% 0.96/1.35 , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ), Y =
% 0.96/1.35 c_Product__Type_OPair( T, Z, skol69( X, Y, Z, T ), skol19( X, Y, Z, T ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ),
% 0.96/1.35 c_member( tc_prod( Z, T ), c_Product__Type_OPair( Z, T, skol19( X, Y, Z,
% 0.96/1.35 T ), skol69( X, Y, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ),
% 0.96/1.35 c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y,
% 0.96/1.35 c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.96/1.35 ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl(
% 0.96/1.35 Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.96/1.35 { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha4( X, Y,
% 0.96/1.35 Z, T ) }.
% 0.96/1.35 { c_member( Z, skol20( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.96/1.35 { ! alpha4( X, Y, Z, skol20( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X )
% 0.96/1.35 }.
% 0.96/1.35 { ! alpha4( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha15( X, Z, T, U ) }.
% 0.96/1.35 { c_member( Z, skol21( U, Y, Z, W ), Y ), alpha4( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha15( X, Z, T, skol21( X, Y, Z, T ) ), alpha4( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha15( X, Y, Z, T ), Z = T, alpha21( X, Y, Z, T ) }.
% 0.96/1.35 { ! Z = T, alpha15( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha21( X, Y, Z, T ), alpha15( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha21( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.96/1.35 ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.96/1.35 , Y, T, Z ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ),
% 0.96/1.35 alpha21( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.96/1.35 alpha21( X, Y, Z, T ) }.
% 0.96/1.35 { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.96/1.35 { ! c_Relation_Ototal__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.96/1.35 c_Relation_Ototal__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y,
% 0.96/1.35 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.96/1.35 { c_Relation_ORange( Z, Y, X ) = c_Relation_ODomain( Y, Z,
% 0.96/1.35 c_Relation_Oconverse( Z, Y, X ) ) }.
% 0.96/1.35 { c_Relation_ODomain( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.96/1.35 c_Relation_ORange( Y, Z, X ) }.
% 0.96/1.35 { c_Relation_ORange( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) =
% 0.96/1.35 c_Relation_ODomain( Y, Z, X ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.96/1.35 Y ), c_Product__Type_OPair( T, Y, Z, skol22( X, Y, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ),
% 0.96/1.35 c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.96/1.35 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z,
% 0.96/1.35 Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.96/1.35 ( Z, X ) ), Y = T }.
% 0.96/1.35 { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member(
% 0.96/1.35 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T,
% 0.96/1.35 c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.96/1.35 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.96/1.35 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T,
% 0.96/1.35 Y ), c_Product__Type_OPair( T, Y, Z, skol23( X, Y, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.96/1.35 ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.96/1.35 ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.96/1.35 hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.96/1.35 ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.96/1.35 skol24( X, T, U, W, V0, V1 ), skol70( X, T, U, W, V0, V1 ) ) ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP(
% 0.96/1.35 hAPP( V1, Z ), Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.96/1.35 hAPP( hAPP( V1, U ), T ) ), alpha26( X, W, V0, V1, skol24( X, T, U, W, V0
% 0.96/1.35 , V1 ), skol70( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! alpha26( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.96/1.35 { ! alpha26( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ),
% 0.96/1.35 tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.96/1.35 ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y,
% 0.96/1.35 skol25( X, Y, Z, T, U, W ), skol71( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.96/1.35 { ! alpha26( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol25( X, Y, Z, T
% 0.96/1.35 , U, W ) ), skol71( X, Y, Z, T, U, W ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ),
% 0.96/1.35 c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.96/1.35 ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.96/1.35 , V1 ) ), alpha26( X, Y, Z, T, U, W ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.96/1.35 hAPP( hAPP( V1, Z ), Y ) ), alpha27( X, Y, Z, W, V0, skol26( X, Y, Z, W,
% 0.96/1.35 V0, V1 ), skol72( X, Y, Z, W, V0, V1 ), skol84( X, Y, Z, W, V0, V1 ),
% 0.96/1.35 skol87( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.96/1.35 hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol84( X, Y, Z, W, V0
% 0.96/1.35 , V1 ) ), skol87( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL(
% 0.96/1.35 hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol26( X, Y, Z, W,
% 0.96/1.35 V0, V1 ) ), skol72( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.96/1.35 , T ) ) }.
% 0.96/1.35 { ! alpha27( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.96/1.35 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.96/1.35 ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.96/1.35 , T, V1, V2 ) ), X ) }.
% 0.96/1.35 { ! alpha27( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.96/1.35 , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.96/1.35 ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.96/1.35 , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.96/1.35 c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.96/1.35 ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ),
% 0.96/1.35 c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha27( X
% 0.96/1.35 , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W,
% 0.96/1.35 skol27( X, Y, Z, T, U, W, V0 ), skol73( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.96/1.35 ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ),
% 0.96/1.35 c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ),
% 0.96/1.35 c_Product__Type_OPair( V0, W, skol27( X, Y, Z, T, U, W, V0 ), skol73( X,
% 0.96/1.35 Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.96/1.35 ), c_Product__Type_OPair( T, T, Z, skol28( X, U, Z, T ) ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.96/1.35 ), c_Product__Type_OPair( T, T, skol28( X, Y, Z, T ), Y ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.96/1.35 ), c_Product__Type_OPair( T, T, Z, skol29( X, U, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.96/1.35 ), c_Product__Type_OPair( T, T, skol29( X, Y, Z, T ), Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.96/1.35 ( hAPP( U, skol74( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ),
% 0.96/1.35 alpha28( X, Y, T, skol30( X, Y, T, U ), skol74( X, Y, T, U ) ), hBOOL(
% 0.96/1.35 hAPP( U, Z ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), !
% 0.96/1.35 hBOOL( hAPP( U, skol30( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.96/1.35 { ! alpha28( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.96/1.35 { ! alpha28( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), !
% 0.96/1.35 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ), alpha28( X, Y, Z, T, U ) }.
% 0.96/1.35 { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.96/1.35 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.96/1.35 c_Product__Type_OPair( Z, Y, T, U ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol31( X, Y, Z )
% 0.96/1.35 , skol75( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.96/1.35 { ! alpha5( X, Y, Z, skol31( X, Y, Z ), skol75( X, Y, Z ) ),
% 0.96/1.35 c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.96/1.35 { ! alpha5( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ),
% 0.96/1.35 c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.96/1.35 { ! U = skol32( W, V0, V1, V2, U ), alpha5( X, Y, Z, T, U ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol32( X, Y,
% 0.96/1.35 Z, T, U ) ), X ), alpha5( X, Y, Z, T, U ) }.
% 0.96/1.35 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ),
% 0.96/1.35 c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ),
% 0.96/1.35 c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.96/1.35 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol33( X, Y, Z )
% 0.96/1.35 , skol76( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.96/1.35 { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol33( X, Y, Z )
% 0.96/1.35 , skol85( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.96/1.35 { ! skol76( X, Y, Z ) = skol85( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.96/1.35 , X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol34( X, Z,
% 0.96/1.35 T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ),
% 0.96/1.35 alpha29( X, T, U, skol34( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.96/1.35 { ! alpha29( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol35( U, W, Z, V0 ) ) ) }.
% 0.96/1.35 { ! alpha29( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.96/1.35 { ! alpha29( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.96/1.35 ( Y, Y, T, skol35( X, Y, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), !
% 0.96/1.35 hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha29( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ),
% 0.96/1.35 c_Relation_Oinv__image( Z, W, Y, X ) ), c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ),
% 0.96/1.35 hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.96/1.35 , W, U, T ), c_Relation_Oinv__image( Z, W, Y, X ) ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.96/1.35 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ),
% 0.96/1.35 c_Relation_OId( Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y,
% 0.96/1.35 c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.96/1.35 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.96/1.35 ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.96/1.35 c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.96/1.35 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.96/1.35 c_Relation_ODomain( Y, Y, X ) }.
% 0.96/1.35 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) =
% 0.96/1.35 c_Relation_ORange( Y, Y, X ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ),
% 0.96/1.35 c_Relation_Orefl__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y,
% 0.96/1.35 c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.96/1.35 { c_Relation_Oconverse( X, X, c_Relation_OId( X ) ) = c_Relation_OId( X ) }
% 0.96/1.35 .
% 0.96/1.35 { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.96/1.35 { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { c_Relation_Oconverse( T, T, c_Relation_Oinv__image( Z, T, Y, X ) ) =
% 0.96/1.35 c_Relation_Oinv__image( Z, T, c_Relation_Oconverse( Z, Z, Y ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.96/1.35 c_Relation_OId( Z ) ), Y = X }.
% 0.96/1.35 { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ),
% 0.96/1.35 c_Relation_OId( Z ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.96/1.35 ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.96/1.35 , X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), !
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha6( X, Y, Z, T ) }.
% 0.96/1.35 { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! alpha6( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.96/1.35 ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! alpha6( X, Y, Z, T ), ! Z = Y }.
% 0.96/1.35 { ! alpha6( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.96/1.35 ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), alpha6( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ),
% 0.96/1.35 c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, skol36( X, U, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, skol36( X, Y, Z, T ), Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, skol37( X, U, Z, T ) ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, skol37( X, Y, Z, T ), Y ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X =
% 0.96/1.35 c_Product__Type_OPair( Y, Y, skol38( X, Y ), skol38( X, Y ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol39( X, Y ),
% 0.96/1.35 skol39( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.96/1.35 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, skol40( X, U, Z, T ) ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, skol40( X, Y, Z, T ), Y ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, skol41( X, U, Z, T ) ), X ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, skol41( X, Y, Z, T ), Y ),
% 0.96/1.35 c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol42( X, Y ),
% 0.96/1.35 skol42( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member(
% 0.96/1.35 tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.96/1.35 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.96/1.35 ), Y ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.96/1.35 ), Y ) ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.96/1.35 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.96/1.35 ) = X }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.96/1.35 , X, Y ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.96/1.35 ), Y, X ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Z, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { ! alpha22( X, Y, Z, T ), alpha7( X, Z, T ), alpha16( X, Y, T ) }.
% 0.96/1.35 { ! alpha7( X, Z, T ), alpha22( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha16( X, Y, T ), alpha22( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha22( X, Y, Z, T ), hBOOL( hAPP( X, skol43( X, U, W, V0 ) ) ) }.
% 0.96/1.35 { ! alpha22( X, Y, Z, T ), c_member( T, skol43( X, Y, Z, T ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha22( X, Y, Z, T )
% 0.96/1.35 }.
% 0.96/1.35 { ! alpha16( X, Y, Z ), hBOOL( hAPP( X, skol44( X, T, U ) ) ) }.
% 0.96/1.35 { ! alpha16( X, Y, Z ), c_member( Z, skol44( X, Y, Z ), Y ) }.
% 0.96/1.35 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha16( X, Y, Z ) }.
% 0.96/1.35 { ! alpha7( X, Y, Z ), hBOOL( hAPP( X, skol45( X, T, U ) ) ) }.
% 0.96/1.35 { ! alpha7( X, Y, Z ), c_member( Z, skol45( X, Y, Z ), Y ) }.
% 0.96/1.35 { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha7( X, Y, Z ) }.
% 0.96/1.35 { ! alpha23( X, Y, Z, T ), alpha8( X, Z, T ) }.
% 0.96/1.35 { ! alpha23( X, Y, Z, T ), alpha17( X, Y, T ) }.
% 0.96/1.35 { ! alpha8( X, Z, T ), ! alpha17( X, Y, T ), alpha23( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha23( X, Y, Z, T ), ! c_member( T, U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ) ), hBOOL( hAPP( X, U ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( X, skol46( X, U, W, V0 ) ) ), alpha23( X, Y, Z, T ) }.
% 0.96/1.35 { c_member( T, skol46( X, Y, Z, T ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ) ), alpha23( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha17( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( X, skol47( X, T, U ) ) ), alpha17( X, Y, Z ) }.
% 0.96/1.35 { c_member( Z, skol47( X, Y, Z ), Y ), alpha17( X, Y, Z ) }.
% 0.96/1.35 { ! alpha8( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( X, skol48( X, T, U ) ) ), alpha8( X, Y, Z ) }.
% 0.96/1.35 { c_member( Z, skol48( X, Y, Z ), Y ), alpha8( X, Y, Z ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.96/1.35 ), X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) ) }.
% 0.96/1.35 { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.96/1.35 { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), c_member( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( T, Z, X ), c_member( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_member( Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) ) =
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, T ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.96/1.35 , Z, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.96/1.35 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( Y, X ), c_Wellfounded_Oacyclic( Y,
% 0.96/1.35 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.96/1.35 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.96/1.35 , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.96/1.35 ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) =
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.96/1.35 }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol49( X, Y ),
% 0.96/1.35 skol49( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ),
% 0.96/1.35 c_Wellfounded_Oacyclic( Y, X ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, skol77( X, U, W, V0 ), skol50( X, W, V0, U )
% 0.96/1.35 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), ! skol77( X, U, W, V0 ) = skol50( X, W, V0, U
% 0.96/1.35 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, skol50( X, Y, Z, U ), Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, skol51( X, W, V0, U ), skol78( X, U, W, V0 )
% 0.96/1.35 ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), ! skol51( X, W, V0, U ) = skol78( X, U, W, V0
% 0.96/1.35 ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, T, skol51( X, Y, T, U ) ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ),
% 0.96/1.35 c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.96/1.35 { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ),
% 0.96/1.35 c_Relation_ORange( Y, Y, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y,
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.96/1.35 { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.96/1.35 }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.96/1.35 { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.96/1.35 c_Set_Oinsert( T, Z, X ) ) }.
% 0.96/1.35 { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.96/1.35 ) }.
% 0.96/1.35 { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.96/1.35 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z,
% 0.96/1.35 c_Relation_ODomain( U, T, X ) ) }.
% 0.96/1.35 { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ),
% 0.96/1.35 c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y,
% 0.96/1.35 c_Relation_ORange( U, T, X ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.96/1.35 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) =
% 0.96/1.35 c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.96/1.35 { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.96/1.35 ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.96/1.35 }.
% 0.96/1.35 { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.96/1.35 { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.96/1.35 { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.96/1.35 c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Relation_OField( Y, c_Relation_Oconverse( Y, Y, X ) ) =
% 0.96/1.35 c_Relation_OField( Y, X ) }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.96/1.35 c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.96/1.35 c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.96/1.35 { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.96/1.35 { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.96/1.35 { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.96/1.35 tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha9( X, Y, Z, T ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol52( X, Y ),
% 0.96/1.35 skol79( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { ! alpha9( X, Y, skol52( X, Y ), skol79( X, Y ) ), c_Relation_Oantisym( Y
% 0.96/1.35 , X ) }.
% 0.96/1.35 { ! alpha9( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.96/1.35 alpha9( X, Y, Z, T ) }.
% 0.96/1.35 { ! Z = T, alpha9( X, Y, Z, T ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ),
% 0.96/1.35 c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.96/1.35 { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.96/1.35 ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ),
% 0.96/1.35 c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol53( X, Y ),
% 0.96/1.35 skol80( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol80( X, Y ),
% 0.96/1.35 skol53( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { ! skol53( X, Y ) = skol80( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.96/1.35 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.96/1.35 tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( Y, X ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_OId( Y ), c_Relation_Orel__comp( Y, Y, Y,
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ), X ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, Y, Y ) = Y }.
% 0.96/1.35 { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.96/1.35 ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, c_Relation_Oinv__image
% 0.96/1.35 ( Y, T, X, Z ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ),
% 0.96/1.35 c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ), !
% 0.96/1.35 c_member( tc_prod( T, V1 ), c_Product__Type_OPair( T, V1, Y, V0 ), W ),
% 0.96/1.35 c_member( tc_prod( U, V1 ), c_Product__Type_OPair( U, V1, Z, V0 ),
% 0.96/1.35 c_Relation_Orel__comp( U, T, V1, X, W ) ) }.
% 0.96/1.35 { ! c_Relation_Orel__comp( Z, Z, Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ) ), ! c_Relation_Orel__comp( Z, Z
% 0.96/1.35 , Z, Y, T ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ) ), c_Relation_Orel__comp( Z, Z, Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), X, T ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod
% 0.96/1.35 ( Z, Z ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Relation_Orel__comp( Z, Z, Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ) ), ! c_Relation_Orel__comp( Z, Z
% 0.96/1.35 , Z, T, X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ) ), c_Relation_Orel__comp( Z, Z, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, T ), X ) = c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( Z, Z ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ), c_Wellfounded_Owf( Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod
% 0.96/1.35 ( Z, Z ), tc_HOL_Obool ), c_Relation_Orel__comp( Z, Z, Z, Y, Y ),
% 0.96/1.35 c_Relation_Orel__comp( Z, Z, Z, X, Y ) ), X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( tc_prod( Z, Z ), tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Orel__comp( Z, Z, Z, Y, Y ),
% 0.96/1.35 c_Relation_Orel__comp( Z, Z, Z, X, Y ) ), X ) ), c_Wellfounded_Owf( Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.96/1.35 ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.96/1.35 tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ),
% 0.96/1.35 tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.96/1.35 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.96/1.35 , Y ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.96/1.35 ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod(
% 0.96/1.35 Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.96/1.35 , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.96/1.35 , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.96/1.35 , Y ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.96/1.35 ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.96/1.35 ( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( T, Z, Y, c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( T, Z ), tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( T, Y ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( T, Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( Z, Y ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( T, Y ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( V0, W, U, c_Relation_Orel__comp( V0, T, W, Z, Y )
% 0.96/1.35 , X ) = c_Relation_Orel__comp( V0, T, U, Z, c_Relation_Orel__comp( T, W,
% 0.96/1.35 U, Y, X ) ) }.
% 0.96/1.35 { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Relation_Orel__comp( Y, Y, Y, X, X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y, c_Relation_Orel__comp
% 0.96/1.35 ( Y, Y, Y, X, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, c_Relation_Orel__comp( Y, Y, Y, X, X ) ),
% 0.96/1.35 c_Wellfounded_Owf( Y, X ) }.
% 0.96/1.35 { c_Product__Type_OSigma( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.96/1.35 , Y ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X,
% 0.96/1.35 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.96/1.35 ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_member( Y, skol54( X, Y ), X ), X = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), !
% 0.96/1.35 c_member( Y, Z, X ) }.
% 0.96/1.35 { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member(
% 0.96/1.35 Y, skol55( X, Y ), X ) }.
% 0.96/1.35 { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), !
% 0.96/1.35 c_member( X, Z, Y ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) =
% 0.96/1.35 c_Set_Oinsert( Z, Y, X ) }.
% 0.96/1.35 { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.96/1.35 ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.96/1.35 , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ),
% 0.96/1.35 alpha10( X, Y, Z, T ), alpha18( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha10( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! alpha18( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! alpha18( X, Y, Z, T ), T = X }.
% 0.96/1.35 { ! alpha18( X, Y, Z, T ), Z = Y }.
% 0.96/1.35 { ! T = X, ! Z = Y, alpha18( X, Y, Z, T ) }.
% 0.96/1.35 { ! alpha10( X, Y, Z, T ), T = Y }.
% 0.96/1.35 { ! alpha10( X, Y, Z, T ), Z = X }.
% 0.96/1.35 { ! T = Y, ! Z = X, alpha10( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.96/1.35 c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( Y, Y, Y, c_Transitive__Closure_Ortrancl( Y, X ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Transitive__Closure_Ortrancl
% 0.96/1.35 ( Y, X ) }.
% 0.96/1.35 { c_Relation_Orel__comp( Y, Y, Y, X, c_Transitive__Closure_Ortrancl( Y, X )
% 0.96/1.35 ) = c_Relation_Orel__comp( Y, Y, Y, c_Transitive__Closure_Ortrancl( Y, X
% 0.96/1.35 ), X ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Oconverse( U, T, c_Relation_Orel__comp( U, Z, T, Y, X ) ) =
% 0.96/1.35 c_Relation_Orel__comp( T, Z, U, c_Relation_Oconverse( Z, T, X ),
% 0.96/1.35 c_Relation_Oconverse( U, Z, Y ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( W, U, T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, T ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( tc_prod( W, T ), tc_HOL_Obool ), c_Relation_Orel__comp( W, U, T,
% 0.96/1.35 Z, Y ), c_Relation_Orel__comp( W, U, T, Z, X ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( W, U, T, c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( tc_fun( tc_prod( W, U ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( W, T ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Orel__comp( W, U, T, Z, X ),
% 0.96/1.35 c_Relation_Orel__comp( W, U, T, Y, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orel__comp( Z, Z, Y, c_Relation_OId( Z ), X ) = X }.
% 0.96/1.35 { c_Relation_Orel__comp( Z, Y, Y, X, c_Relation_OId( Y ) ) = X }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.96/1.35 { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_Relation_Osingle__valued( Y
% 0.96/1.35 , U, T ), c_Relation_Osingle__valued( Z, U, c_Relation_Orel__comp( Z, Y,
% 0.96/1.35 U, X, T ) ) }.
% 0.96/1.35 { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.96/1.35 , X ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ), X ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.96/1.35 ( X ), Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.96/1.35 }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.96/1.35 }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ), ! Z =
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.96/1.35 ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.96/1.35 ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y,
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.96/1.35 { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_member( Y, skol56( X, Y ), c_Wellfounded_Oacc( Y, X ) ),
% 0.96/1.35 c_Wellfounded_Owf( Y, X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.96/1.35 }.
% 0.96/1.35 { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, X ) ),
% 0.96/1.35 c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y,
% 0.96/1.35 c_Transitive__Closure_Otrancl( Y, X ) ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y, X ) = c_Relation_Orel__comp( Y, Y, Y, X
% 0.96/1.35 , c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y, X ) = c_Relation_Orel__comp( Y, Y, Y,
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ), X ) }.
% 0.96/1.35 { c_Transitive__Closure_Otrancl( Y, X ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, c_Relation_Orel__comp( Y, Y, Y,
% 0.96/1.35 c_Transitive__Closure_Otrancl( Y, X ), X ) ) }.
% 0.96/1.35 { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_ORange( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ), c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.96/1.35 { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.96/1.35 { c_Relation_ODomain( X, X, c_Relation_OId( X ) ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_ORange( X, X, c_Relation_OId( X ) ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_Orefl__on( X, c_Orderings_Otop__class_Otop( tc_fun( X,
% 0.96/1.35 tc_HOL_Obool ) ), c_Relation_OId( X ) ) }.
% 0.96/1.35 { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.96/1.35 { c_Wellfounded_Owf( Y, c_Wellfounded_Omeasure( Y, X ) ) }.
% 0.96/1.35 { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun(
% 0.96/1.35 Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.96/1.35 { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.96/1.35 { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Oconverse( Y, Y, X ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { hBOOL( hAPP( Z, skol57( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.96/1.35 , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, hAPP( X, skol57( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.96/1.35 ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) =
% 0.96/1.35 hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.96/1.35 ), U ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.96/1.35 ), X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.96/1.35 ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.96/1.35 ( X ), Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__bot( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.96/1.35 .
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y,
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.96/1.35 }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.96/1.35 }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice__top( X ), ! Z =
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.96/1.35 ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), !
% 0.96/1.35 c_member( Z, T, Y ), alpha11( X, Z, T ) }.
% 0.96/1.35 { c_member( Z, skol58( T, Y, Z ), Y ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! alpha11( X, Z, skol58( X, Y, Z ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! alpha11( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.96/1.35 { Z = skol59( T, U, Z ), alpha11( X, Y, Z ) }.
% 0.96/1.35 { c_member( Y, skol59( X, Y, Z ), X ), alpha11( X, Y, Z ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, Z ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), Z, X ) ) }.
% 0.96/1.35 { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Z, T ),
% 0.96/1.35 tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.96/1.35 , Z, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), hAPP(
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ),
% 0.96/1.35 c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.96/1.35 ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.96/1.35 ) = X }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.96/1.35 , X, Y ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.96/1.35 ), Y, X ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Z, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( T, tc_HOL_Obool ), Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.96/1.35 , X, Z ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.96/1.35 ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Z, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.96/1.35 ), Z, X ) ) }.
% 0.96/1.35 { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( T, Z, Y ), c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T,
% 0.96/1.35 Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.96/1.35 { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.96/1.35 { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! class_Lattices_Odistrib__lattice( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Odistrib__lattice( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Odistrib__lattice( X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Odistrib__lattice( X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.96/1.35 ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.96/1.35 ( X, Y, Y ) = Y }.
% 0.96/1.35 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.96/1.35 T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.96/1.35 , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.96/1.35 T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.96/1.35 , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) }.
% 0.96/1.35 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.96/1.35 , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.96/1.35 ) }.
% 0.96/1.35 { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.96/1.35 , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.96/1.35 Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun(
% 0.96/1.35 Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( Y, Z ), !
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ODomain( Y, Y, X ), c_Relation_ORange( Y, Y, Z ) ) =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.96/1.35 c_Wellfounded_Owf( Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun(
% 0.96/1.35 tc_prod( Y, Y ), tc_HOL_Obool ), X, Z ) ) }.
% 0.96/1.35 { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.96/1.35 , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) =
% 0.96/1.35 hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.96/1.35 ), Z ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha12( X, Y, Z ) }
% 0.96/1.35 .
% 0.96/1.35 { c_member( Y, skol81( Y, Z ), skol60( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.96/1.35 }.
% 0.96/1.35 { ! alpha12( X, Y, skol60( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.96/1.35 { ! alpha12( X, Y, Z ), c_member( Y, skol61( T, Y, Z ), Z ) }.
% 0.96/1.35 { ! alpha12( X, Y, Z ), alpha19( X, Y, Z, skol61( X, Y, Z ) ) }.
% 0.96/1.35 { ! c_member( Y, T, Z ), ! alpha19( X, Y, Z, T ), alpha12( X, Y, Z ) }.
% 0.96/1.35 { ! alpha19( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.96/1.35 { c_member( Y, skol62( U, Y, Z, W ), Z ), alpha19( X, Y, Z, T ) }.
% 0.96/1.35 { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol62( X, Y, Z,
% 0.96/1.35 T ), T ), X ), alpha19( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), T, c_Relation_Orel__comp( W, Z, U, Y, X ) )
% 0.96/1.35 , T = c_Product__Type_OPair( W, U, skol63( X, Y, Z, T, U, W ), skol82( X
% 0.96/1.35 , Y, Z, T, U, W ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), T, c_Relation_Orel__comp( W, Z, U, Y, X ) )
% 0.96/1.35 , c_member( tc_prod( W, Z ), c_Product__Type_OPair( W, Z, skol63( X, Y, Z
% 0.96/1.35 , T, U, W ), skol86( X, Y, Z, T, U, W ) ), Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( W, U ), T, c_Relation_Orel__comp( W, Z, U, Y, X ) )
% 0.96/1.35 , c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, skol86( X, Y, Z
% 0.96/1.35 , T, U, W ), skol82( X, Y, Z, T, U, W ) ), X ) }.
% 0.96/1.35 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.96/1.35 ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ),
% 0.96/1.35 c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.96/1.35 { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup(
% 0.96/1.35 tc_fun( U, tc_HOL_Obool ), Y, X ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.96/1.35 { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.96/1.35 { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.96/1.35 ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) =
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.96/1.35 { c_Relation_OImage( Z, Z, c_Relation_OId__on( Z, Y ), X ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.96/1.35 ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol64
% 0.96/1.35 ( X, W, Z, V0, V1 ), X ) }.
% 0.96/1.35 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.96/1.35 , U ), c_Product__Type_OPair( Z, U, skol64( X, Y, Z, T, U ), T ), Y ) }.
% 0.96/1.35 { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.96/1.35 ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_Relation_Osingle__valued( Z, Y, c_Relation_Oconverse( Y, Z, X ) ),
% 0.96/1.35 c_Relation_OImage( Y, Z, X, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( Y, tc_HOL_Obool ), U, T ) ) =
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( Y, Z, X, U ), c_Relation_OImage( Y, Z, X, T ) ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.96/1.35 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.96/1.35 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.96/1.35 , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.96/1.35 c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.96/1.35 ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T,
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.96/1.35 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.96/1.35 c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.96/1.35 ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.96/1.35 ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.96/1.35 c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X,
% 0.96/1.35 c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol65
% 0.96/1.35 ( X, W, Z, V0, V1 ), X ) }.
% 0.96/1.35 { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.96/1.35 , U ), c_Product__Type_OPair( Z, U, skol65( X, Y, Z, T, U ), T ), Y ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.96/1.35 , X ) ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.96/1.35 c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z,
% 0.96/1.35 X ) ) }.
% 0.96/1.35 { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.96/1.35 c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.96/1.35 ( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), !
% 0.96/1.35 c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.96/1.35 , Y, X ) }.
% 0.96/1.35 { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.96/1.35 , X ) ), c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Olinear__order__on( Z, Y, X ),
% 0.96/1.35 c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun(
% 0.96/1.35 tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ),
% 0.96/1.35 c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym(
% 0.96/1.35 Z, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.96/1.35 ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( Y, W,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) ),
% 0.96/1.35 c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, T ), X ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), c_Relation_Orel__comp( Y, Y, Y,
% 0.96/1.35 c_Relation_Oconverse( Y, Y, X ), X ) = X }.
% 0.96/1.35 { ! c_Relation_Orel__comp( Y, Y, Y, c_Relation_Oconverse( Y, Y, X ), X ) =
% 0.96/1.35 X, ! c_Relation_ODomain( Y, Y, X ) = Z, c_Equiv__Relations_Oequiv( Y, Z,
% 0.96/1.35 X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X )
% 0.96/1.35 ), c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opreorder__on( Z, Y, X ),
% 0.96/1.35 c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), c_member(
% 0.96/1.35 Z, T, c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, U, T ), X ), c_Relation_OImage( Y, Y, X,
% 0.96/1.35 c_Set_Oinsert( Y, U, c_Orderings_Obot__class_Obot( tc_fun( Y,
% 0.96/1.35 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.96/1.35 ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X,
% 0.96/1.35 X ), tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, Y,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Relation_OImage( T, T, Z, c_Set_Oinsert( T, X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( T, tc_HOL_Obool ) ) ) ), !
% 0.96/1.35 c_Equiv__Relations_Oequiv( T, U, Z ), ! c_member( T, X, U ), c_member(
% 0.96/1.35 tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, X ), Z ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.96/1.35 ( Z, U, Y ), ! c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), c_member(
% 0.96/1.35 tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.96/1.35 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.96/1.35 , U ), X ), c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) =
% 0.96/1.35 c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, U,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, U, T ), X ), c_Relation_OImage( Z, Z, X,
% 0.96/1.35 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( tc_prod( Z, Z ),
% 0.96/1.35 c_Product__Type_OPair( Z, Z, U, T ), X ), alpha13( Y, Z, T, U ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_Relation_OImage( Z, Z, X,
% 0.96/1.35 c_Set_Oinsert( Z, U, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Z, Z, X, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ), ! alpha13
% 0.96/1.35 ( Y, Z, T, U ), c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U
% 0.96/1.35 , T ), X ) }.
% 0.96/1.35 { ! alpha13( X, Y, Z, T ), c_member( Y, T, X ) }.
% 0.96/1.35 { ! alpha13( X, Y, Z, T ), c_member( Y, Z, X ) }.
% 0.96/1.35 { ! c_member( Y, T, X ), ! c_member( Y, Z, X ), alpha13( X, Y, Z, T ) }.
% 0.96/1.35 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.96/1.35 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.96/1.35 c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.96/1.35 ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.96/1.35 { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), !
% 0.96/1.35 c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T,
% 0.96/1.35 c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ),
% 0.96/1.35 c_Product__Type_OPair( Y, Y, T, Z ), X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ),
% 0.96/1.35 c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.96/1.35 ( Z, U, Y ), ! c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.96/1.35 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ),
% 0.96/1.35 c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oequiv( Z, Y, X ), ! c_member( Z, T, Y ), ! c_member
% 0.96/1.35 ( Z, U, Y ), ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T
% 0.96/1.35 , U ), X ), c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, T,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) =
% 0.96/1.35 c_Equiv__Relations_Oquotient( Z, c_Set_Oinsert( Z, U,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.96/1.35 { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.96/1.35 , Y ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y
% 0.96/1.35 = X }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ),
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.96/1.35 { ! c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot
% 0.96/1.35 ( tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ), Y =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.96/1.35 c_Equiv__Relations_Oquotient( Z, Y, X ) = c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( tc_fun( Z, tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ), Y =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ),
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 tc_HOL_Obool ) ) = c_Equiv__Relations_Oquotient( Z, Y, X ) }.
% 0.96/1.35 { c_Equiv__Relations_Oquotient( Y, c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.96/1.35 , tc_HOL_Obool ) ), X ) = c_Orderings_Obot__class_Obot( tc_fun( tc_fun( Y
% 0.96/1.35 , tc_HOL_Obool ), tc_HOL_Obool ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.96/1.35 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ), c_Transitive__Closure_Ortrancl
% 0.96/1.35 ( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) ) }.
% 0.96/1.35 { ! c_member( tc_prod( Z, Z ), Y, c_Transitive__Closure_Otrancl( Z, X ) ),
% 0.96/1.35 ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), X, T ), c_member( tc_prod( Z, Z ), Y,
% 0.96/1.35 c_Transitive__Closure_Otrancl( Z, T ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( U, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( T, U, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( T, tc_HOL_Obool ), Y, X ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( T, U, Z, Y ), c_Relation_OImage( T, U, Z, X ) ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_OImage( Z, Z, Y, X ), X ), c_Relation_OImage( Z, Z,
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, Y ), X ) = X }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.96/1.35 { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y,
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__sup( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Set_Oinsert( Z, X, Y ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Set_Oinsert( Z, T, X ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = X }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 Y, X ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = X }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) = X }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.96/1.35 ), X ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.96/1.35 ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 X, T ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z,
% 0.96/1.35 X ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.96/1.35 { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.96/1.35 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) }.
% 0.96/1.35 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.96/1.35 , Y ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.96/1.35 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.96/1.35 , Y ) }.
% 0.96/1.35 { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.96/1.35 , X ) }.
% 0.96/1.35 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.96/1.35 , Y ) }.
% 0.96/1.35 { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.96/1.35 , Z ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z
% 0.96/1.35 = Y }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ),
% 0.96/1.35 c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.96/1.35 { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq(
% 0.96/1.35 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic(
% 0.96/1.35 Y, Z ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ),
% 0.96/1.35 c_Relation_Oantisym( Z, Y ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.96/1.35 tc_prod( Z, V0 ), tc_HOL_Obool ), W, U ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, V0 ), tc_HOL_Obool
% 0.96/1.35 ), c_Relation_Orel__comp( T, Z, V0, Y, W ), c_Relation_Orel__comp( T, Z
% 0.96/1.35 , V0, X, U ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.96/1.35 ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.96/1.35 tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.96/1.35 ) ), c_Transitive__Closure_Ortrancl( Z, X ) =
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.96/1.35 tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ),
% 0.96/1.35 c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.96/1.35 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.35 hAPP( Y, U ) ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.96/1.35 { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.96/1.35 , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.96/1.35 ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! Z = Y, !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.96/1.35 ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.35 hAPP( Y, U ) ) }.
% 0.96/1.35 { ! class_Orderings_Opreorder( X ), ! Z = Y,
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.96/1.35 ( X, Z, Y ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.96/1.35 ( X, Y, Z ) }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.96/1.35 { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.96/1.35 , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ),
% 0.96/1.35 hAPP( Y, U ) ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.96/1.35 ( Z, skol66( X, Y, Z ) ), hAPP( Y, skol66( X, Y, Z ) ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.96/1.35 { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.96/1.35 { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y,
% 0.96/1.35 c_Orderings_Otop__class_Otop( X ) ) }.
% 0.96/1.35 { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.96/1.35 ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ),
% 0.96/1.35 tc_HOL_Obool ), Y, Z ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X,
% 0.96/1.35 c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), X, Z ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.96/1.35 ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot(
% 0.96/1.35 tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( T, tc_HOL_Obool ), Y, X ) }.
% 0.96/1.35 { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.96/1.35 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.96/1.35 { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T,
% 0.96/1.35 tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z,
% 0.96/1.35 tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.96/1.35 , X, U ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.96/1.35 ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 X, T ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.96/1.35 ) = Y }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ) = Y }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ), X ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.96/1.35 ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, U, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, T ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Z ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T, Y ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, T,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ), !
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z,
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.96/1.35 { ! class_Lattices_Osemilattice__inf( X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.96/1.35 ( Y, tc_HOL_Obool ), Z, c_Relation_OImage( Y, Y, X, Z ) ), Z =
% 0.96/1.35 c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.96/1.35 { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( Y, Z ), !
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Y, Y ), tc_HOL_Obool
% 0.96/1.35 ), c_Relation_Orel__comp( Y, Y, Y, X, Z ), X ), c_Wellfounded_Owf( Y,
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ),
% 0.96/1.35 tc_HOL_Obool ), X, Z ) ) }.
% 0.96/1.35 { ! c_Relation_Orefl__on( Y, Z, X ), c_Orderings_Oord__class_Oless__eq(
% 0.96/1.35 tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_Orel__comp( Y, Y,
% 0.96/1.35 Y, c_Relation_Oconverse( Y, Y, X ), X ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__inf__class_Oinf(
% 0.96/1.35 tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) ) }.
% 0.96/1.35 { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ORange( Z, T, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.96/1.35 ( tc_prod( Z, T ), tc_HOL_Obool ), Y, X ) ),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ),
% 0.96/1.35 c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ) ) }.
% 0.96/1.35 { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun(
% 0.96/1.35 tc_prod( Z, Z ), tc_HOL_Obool ), c_Relation_Orel__comp( Z, Z, Z,
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Z, Z ),
% 0.96/1.35 tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Z, Y ), X ), Y ), X ),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.96/1.35 ), c_Transitive__Closure_Otrancl( Z, Y ), X ) }.
% 0.96/1.35 { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.96/1.35 ( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice( X ),
% 0.96/1.35 class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Obounded__lattice( X ),
% 0.96/1.35 class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.96/1.35 ( Y, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.96/1.35 ( Y, X ) ) }.
% 0.96/1.35 { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.96/1.35 ( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.96/1.35 ) ) }.
% 0.96/1.35 { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.96/1.35 }.
% 0.96/1.35 { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.96/1.35 .
% 0.96/1.35 { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.96/1.35 { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.96/1.35 { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.96/1.35 { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.96/1.35 { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.96/1.35 { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.96/1.35 { alpha30, ! v_x = v_z }.
% 0.96/1.35 { alpha30, alpha14 }.
% 0.96/1.35 { alpha30, ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), c_Arrow__Order__Mirabelle_Omktop( v_L, v_z ) ) }.
% 0.96/1.35 { ! alpha30, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), c_Arrow__Order__Mirabelle_Omktop( v_L, v_z ) ) }.
% 0.96/1.35 { ! alpha30, v_x = v_z, ! alpha14 }.
% 0.96/1.35 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), c_Arrow__Order__Mirabelle_Omktop( v_L, v_z ) ), ! v_x = v_z,
% 0.96/1.35 alpha30 }.
% 0.96/1.35 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), c_Arrow__Order__Mirabelle_Omktop( v_L, v_z ) ), alpha14, alpha30 }
% 0.96/1.35 .
% 0.96/1.35 { ! alpha14, alpha20 }.
% 0.96/1.35 { ! alpha14, alpha24 }.
% 0.96/1.35 { ! alpha20, ! alpha24, alpha14 }.
% 0.96/1.35 { ! alpha24, v_y = v_z, c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt
% 0.96/1.35 , tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), v_L ) }.
% 0.96/1.35 { ! v_y = v_z, alpha24 }.
% 0.96/1.35 { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt,
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair(
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, v_x,
% 0.96/1.35 v_y ), v_L ), alpha24 }.
% 0.96/1.35 { ! alpha20, ! v_y = v_z, ! v_x = v_y }.
% 0.96/1.35 { v_y = v_z, alpha20 }.
% 0.96/1.35 { v_x = v_y, alpha20 }.
% 0.96/1.35
% 0.96/1.35 *** allocated 15000 integers for clauses
% 0.96/1.35 *** allocated 22500 integers for clauses
% 0.96/1.35 *** allocated 33750 integers for clauses
% 0.96/1.35 *** allocated 50625 integers for clauses
% 0.96/1.35 percentage equality = 0.232011, percentage horn = 0.876453
% 0.96/1.35 This is a problem with some equality
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35
% 0.96/1.35 Options Used:
% 0.96/1.35
% 0.96/1.35 useres = 1
% 0.96/1.35 useparamod = 1
% 0.96/1.35 useeqrefl = 1
% 0.96/1.35 useeqfact = 1
% 0.96/1.35 usefactor = 1
% 0.96/1.35 usesimpsplitting = 0
% 0.96/1.35 usesimpdemod = 5
% 0.96/1.35 usesimpres = 3
% 0.96/1.35
% 0.96/1.35 resimpinuse = 1000
% 0.96/1.35 resimpclauses = 20000
% 0.96/1.35 substype = eqrewr
% 0.96/1.35 backwardsubs = 1
% 0.96/1.35 selectoldest = 5
% 0.96/1.35
% 0.96/1.35 litorderings [0] = split
% 0.96/1.35 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.35
% 0.96/1.35 termordering = kbo
% 0.96/1.35
% 0.96/1.35 litapriori = 0
% 0.96/1.35 termapriori = 1
% 0.96/1.35 litaposteriori = 0
% 0.96/1.35 termaposteriori = 0
% 0.96/1.35 demodaposteriori = 0
% 0.96/1.35 ordereqreflfact = 0
% 0.96/1.35
% 0.96/1.35 litselect = negord
% 0.96/1.35
% 0.96/1.35 maxweight = 15
% 0.96/1.35 maxdepth = 30000
% 0.96/1.35 maxlength = 115
% 0.96/1.35 maxnrvars = 195
% 0.96/1.35 excuselevel = 1
% 0.96/1.35 increasemaxweight = 1
% 0.96/1.35
% 0.96/1.35 maxselected = 10000000
% 0.96/1.35 maxnrclauses = 10000000
% 0.96/1.35
% 0.96/1.35 showgenerated = 0
% 0.96/1.35 showkept = 0
% 0.96/1.35 showselected = 0
% 0.96/1.35 showdeleted = 0
% 0.96/1.35 showresimp = 1
% 0.96/1.35 showstatus = 2000
% 0.96/1.35
% 0.96/1.35 prologoutput = 0
% 0.96/1.35 nrgoals = 5000000
% 0.96/1.35 totalproof = 1
% 0.96/1.35
% 0.96/1.35 Symbols occurring in the translation:
% 0.96/1.35
% 0.96/1.35 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.35 . [1, 2] (w:1, o:121, a:1, s:1, b:0),
% 0.96/1.35 ! [4, 1] (w:0, o:97, a:1, s:1, b:0),
% 0.96/1.35 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.35 hAPP [38, 2] (w:1, o:145, a:1, s:1, b:0),
% 0.96/1.35 c_member [43, 3] (w:1, o:177, a:1, s:1, b:0),
% 0.96/1.35 c_FunDef_Oin__rel [48, 5] (w:1, o:266, a:1, s:1, b:0),
% 0.96/1.35 tc_prod [49, 2] (w:1, o:162, a:1, s:1, b:0),
% 0.96/1.35 c_Product__Type_OPair [50, 4] (w:1, o:221, a:1, s:1, b:0),
% 0.96/1.35 hBOOL [53, 1] (w:1, o:102, a:1, s:1, b:0),
% 0.96/1.35 c_Recdef_Osame__fst [54, 4] (w:1, o:222, a:1, s:1, b:0),
% 0.96/1.35 c_Nitpick_Orefl_H [56, 2] (w:1, o:163, a:1, s:1, b:0),
% 0.96/1.35 c_Product__Type_Oprod_Oprod__rec [70, 5] (w:1, o:267, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 c_Wellfounded_Olex__prod [72, 4] (w:1, o:223, a:1, s:1, b:0),
% 0.96/1.35 tc_Arrow__Order__Mirabelle_Oalt [74, 0] (w:1, o:52, a:1, s:1, b:0),
% 0.96/1.35 tc_HOL_Obool [75, 0] (w:1, o:53, a:1, s:1, b:0),
% 0.96/1.35 tc_fun [76, 2] (w:1, o:164, a:1, s:1, b:0),
% 0.96/1.35 c_Arrow__Order__Mirabelle_OLin [77, 0] (w:1, o:54, a:1, s:1, b:0),
% 0.96/1.35 c_Product__Type_Ointernal__split [78, 5] (w:1, o:268, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 c_Recdef_Owfrec__rel [82, 6] (w:1, o:280, a:1, s:1, b:0),
% 0.96/1.35 c_Product__Type_Ocurry [85, 6] (w:1, o:281, a:1, s:1, b:0),
% 0.96/1.35 c_Recdef_Ocut [86, 5] (w:1, o:269, a:1, s:1, b:0),
% 0.96/1.35 c_fequal [90, 1] (w:1, o:103, a:1, s:1, b:0),
% 0.96/1.35 c_Wellfounded_Oacc [92, 2] (w:1, o:165, a:1, s:1, b:0),
% 0.96/1.35 c_Nitpick_Owf__wfrec_H [93, 5] (w:1, o:270, a:1, s:1, b:0),
% 0.96/1.35 c_Nitpick_Owf__wfrec [94, 4] (w:1, o:224, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Oconverse [95, 3] (w:1, o:178, a:1, s:1, b:0),
% 0.96/1.35 c_Product__Type_OSigma [96, 4] (w:1, o:225, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Oirrefl [97, 2] (w:1, o:166, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_ORange [98, 3] (w:1, o:179, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_OId__on [99, 2] (w:1, o:167, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_ODomain [101, 3] (w:1, o:180, a:1, s:1, b:0),
% 0.96/1.35 c_Transitive__Closure_Ortrancl [102, 2] (w:1, o:169, a:1, s:1, b:0),
% 0.96/1.35
% 0.96/1.35 c_Relation_Ototal__on [103, 3] (w:1, o:183, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Osingle__valued [107, 3] (w:1, o:182, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Oinv__image [116, 4] (w:1, o:226, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Orefl__on [117, 3] (w:1, o:181, a:1, s:1, b:0),
% 0.96/1.35 c_Transitive__Closure_Otrancl [118, 2] (w:1, o:170, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_OId [119, 1] (w:1, o:104, a:1, s:1, b:0),
% 0.96/1.35 c_Wellfounded_Oacyclic [120, 2] (w:1, o:171, a:1, s:1, b:0),
% 0.96/1.35 c_Lattices_Osemilattice__sup__class_Osup [122, 3] (w:1, o:184, a:1
% 0.96/1.35 , s:1, b:0),
% 0.96/1.35 class_Lattices_Olattice [125, 1] (w:1, o:105, a:1, s:1, b:0),
% 0.96/1.35 c_Set_Oinsert [127, 3] (w:1, o:185, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_OField [128, 2] (w:1, o:172, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Oantisym [129, 2] (w:1, o:173, a:1, s:1, b:0),
% 0.96/1.35 class_Lattices_Osemilattice__sup [130, 1] (w:1, o:106, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 c_Orderings_Obot__class_Obot [135, 1] (w:1, o:107, a:1, s:1, b:0),
% 0.96/1.35 c_Wellfounded_Owf [136, 2] (w:1, o:174, a:1, s:1, b:0),
% 0.96/1.35 c_Orderings_Otop__class_Otop [137, 1] (w:1, o:108, a:1, s:1, b:0),
% 0.96/1.35 c_Relation_Orel__comp [138, 5] (w:1, o:271, a:1, s:1, b:0),
% 0.96/1.35 class_Lattices_Obounded__lattice__bot [144, 1] (w:1, o:109, a:1, s:1
% 0.96/1.35 , b:0),
% 0.96/1.35 class_Lattices_Obounded__lattice__top [145, 1] (w:1, o:110, a:1, s:1
% 0.96/1.35 , b:0),
% 0.96/1.35 c_Set_Othe__elem [146, 2] (w:1, o:168, a:1, s:1, b:0),
% 0.96/1.35 c_Wellfounded_Omeasure [147, 2] (w:1, o:175, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Otop [148, 1] (w:1, o:111, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Obot [149, 1] (w:1, o:112, a:1, s:1, b:0),
% 0.96/1.35 c_Lattices_Osemilattice__inf__class_Oinf [150, 3] (w:1, o:186, a:1
% 0.96/1.35 , s:1, b:0),
% 0.96/1.35 c_Recdef_Owfrec [152, 4] (w:1, o:227, a:1, s:1, b:0),
% 0.96/1.35 class_Lattices_Osemilattice__inf [154, 1] (w:1, o:113, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 class_Lattices_Odistrib__lattice [155, 1] (w:1, o:114, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 c_Relation_OImage [159, 4] (w:1, o:228, a:1, s:1, b:0),
% 0.96/1.35 c_Order__Relation_Opartial__order__on [160, 3] (w:1, o:187, a:1, s:1
% 0.96/1.35 , b:0),
% 0.96/1.35 c_Order__Relation_Olinear__order__on [161, 3] (w:1, o:188, a:1, s:1
% 0.96/1.35 , b:0),
% 0.96/1.35 c_Order__Relation_Owell__order__on [162, 3] (w:1, o:189, a:1, s:1, b:
% 0.96/1.35 0),
% 0.96/1.35 c_Order__Relation_Opreorder__on [163, 3] (w:1, o:190, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 c_Equiv__Relations_Oequiv [164, 3] (w:1, o:191, a:1, s:1, b:0),
% 0.96/1.35 c_Orderings_Oord__class_Oless__eq [165, 3] (w:1, o:192, a:1, s:1, b:0
% 0.96/1.35 ),
% 0.96/1.35 c_Equiv__Relations_Oquotient [166, 3] (w:1, o:193, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Opreorder [167, 1] (w:1, o:117, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Olinorder [174, 1] (w:1, o:118, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Oord [175, 1] (w:1, o:115, a:1, s:1, b:0),
% 0.96/1.35 class_Orderings_Oorder [176, 1] (w:1, o:116, a:1, s:1, b:0),
% 0.96/1.35 class_Lattices_Obounded__lattice [178, 1] (w:1, o:119, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 v_x [183, 0] (w:1, o:89, a:1, s:1, b:0),
% 0.96/1.35 v_y [184, 0] (w:1, o:90, a:1, s:1, b:0),
% 0.96/1.35 v_L [185, 0] (w:1, o:91, a:1, s:1, b:0),
% 0.96/1.35 v_z [186, 0] (w:1, o:92, a:1, s:1, b:0),
% 0.96/1.35 c_Arrow__Order__Mirabelle_Omktop [187, 2] (w:1, o:176, a:1, s:1, b:0)
% 0.96/1.35 ,
% 0.96/1.35 alpha1 [188, 6] (w:1, o:282, a:1, s:1, b:1),
% 0.96/1.35 alpha2 [189, 6] (w:1, o:283, a:1, s:1, b:1),
% 0.96/1.35 alpha3 [190, 6] (w:1, o:285, a:1, s:1, b:1),
% 0.96/1.35 alpha4 [191, 4] (w:1, o:229, a:1, s:1, b:1),
% 0.96/1.35 alpha5 [192, 5] (w:1, o:272, a:1, s:1, b:1),
% 0.96/1.35 alpha6 [193, 4] (w:1, o:230, a:1, s:1, b:1),
% 0.96/1.35 alpha7 [194, 3] (w:1, o:194, a:1, s:1, b:1),
% 0.96/1.35 alpha8 [195, 3] (w:1, o:195, a:1, s:1, b:1),
% 0.96/1.35 alpha9 [196, 4] (w:1, o:231, a:1, s:1, b:1),
% 0.96/1.35 alpha10 [197, 4] (w:1, o:232, a:1, s:1, b:1),
% 0.96/1.35 alpha11 [198, 3] (w:1, o:196, a:1, s:1, b:1),
% 0.96/1.35 alpha12 [199, 3] (w:1, o:197, a:1, s:1, b:1),
% 0.96/1.35 alpha13 [200, 4] (w:1, o:233, a:1, s:1, b:1),
% 0.96/1.35 alpha14 [201, 0] (w:1, o:93, a:1, s:1, b:1),
% 0.96/1.35 alpha15 [202, 4] (w:1, o:234, a:1, s:1, b:1),
% 0.96/1.35 alpha16 [203, 3] (w:1, o:198, a:1, s:1, b:1),
% 0.96/1.35 alpha17 [204, 3] (w:1, o:199, a:1, s:1, b:1),
% 0.96/1.35 alpha18 [205, 4] (w:1, o:235, a:1, s:1, b:1),
% 0.96/1.35 alpha19 [206, 4] (w:1, o:236, a:1, s:1, b:1),
% 0.96/1.35 alpha20 [207, 0] (w:1, o:94, a:1, s:1, b:1),
% 0.96/1.35 alpha21 [208, 4] (w:1, o:237, a:1, s:1, b:1),
% 0.96/1.35 alpha22 [209, 4] (w:1, o:238, a:1, s:1, b:1),
% 0.96/1.35 alpha23 [210, 4] (w:1, o:239, a:1, s:1, b:1),
% 0.96/1.35 alpha24 [211, 0] (w:1, o:95, a:1, s:1, b:1),
% 0.96/1.35 alpha25 [212, 4] (w:1, o:240, a:1, s:1, b:1),
% 0.96/1.35 alpha26 [213, 6] (w:1, o:284, a:1, s:1, b:1),
% 3.92/4.35 alpha27 [214, 9] (w:1, o:304, a:1, s:1, b:1),
% 3.92/4.35 alpha28 [215, 5] (w:1, o:273, a:1, s:1, b:1),
% 3.92/4.35 alpha29 [216, 4] (w:1, o:241, a:1, s:1, b:1),
% 3.92/4.35 alpha30 [217, 0] (w:1, o:96, a:1, s:1, b:1),
% 3.92/4.35 skol1 [218, 2] (w:1, o:146, a:1, s:1, b:1),
% 3.92/4.35 skol2 [219, 2] (w:1, o:148, a:1, s:1, b:1),
% 3.92/4.35 skol3 [220, 1] (w:1, o:120, a:1, s:1, b:1),
% 3.92/4.35 skol4 [221, 6] (w:1, o:286, a:1, s:1, b:1),
% 3.92/4.35 skol5 [222, 6] (w:1, o:287, a:1, s:1, b:1),
% 3.92/4.35 skol6 [223, 5] (w:1, o:274, a:1, s:1, b:1),
% 3.92/4.35 skol7 [224, 6] (w:1, o:289, a:1, s:1, b:1),
% 3.92/4.35 skol8 [225, 6] (w:1, o:293, a:1, s:1, b:1),
% 3.92/4.35 skol9 [226, 6] (w:1, o:298, a:1, s:1, b:1),
% 3.92/4.35 skol10 [227, 0] (w:1, o:51, a:1, s:1, b:1),
% 3.92/4.35 skol11 [228, 3] (w:1, o:200, a:1, s:1, b:1),
% 3.92/4.35 skol12 [229, 2] (w:1, o:147, a:1, s:1, b:1),
% 3.92/4.35 skol13 [230, 4] (w:1, o:242, a:1, s:1, b:1),
% 3.92/4.35 skol14 [231, 3] (w:1, o:201, a:1, s:1, b:1),
% 3.92/4.35 skol15 [232, 4] (w:1, o:243, a:1, s:1, b:1),
% 3.92/4.35 skol16 [233, 5] (w:1, o:275, a:1, s:1, b:1),
% 3.92/4.35 skol17 [234, 3] (w:1, o:202, a:1, s:1, b:1),
% 3.92/4.35 skol18 [235, 3] (w:1, o:203, a:1, s:1, b:1),
% 3.92/4.35 skol19 [236, 4] (w:1, o:244, a:1, s:1, b:1),
% 3.92/4.35 skol20 [237, 3] (w:1, o:204, a:1, s:1, b:1),
% 3.92/4.35 skol21 [238, 4] (w:1, o:245, a:1, s:1, b:1),
% 3.92/4.35 skol22 [239, 4] (w:1, o:246, a:1, s:1, b:1),
% 3.92/4.35 skol23 [240, 4] (w:1, o:247, a:1, s:1, b:1),
% 3.92/4.35 skol24 [241, 6] (w:1, o:299, a:1, s:1, b:1),
% 3.92/4.35 skol25 [242, 6] (w:1, o:300, a:1, s:1, b:1),
% 3.92/4.35 skol26 [243, 6] (w:1, o:301, a:1, s:1, b:1),
% 3.92/4.35 skol27 [244, 7] (w:1, o:302, a:1, s:1, b:1),
% 3.92/4.35 skol28 [245, 4] (w:1, o:248, a:1, s:1, b:1),
% 3.92/4.35 skol29 [246, 4] (w:1, o:249, a:1, s:1, b:1),
% 3.92/4.35 skol30 [247, 4] (w:1, o:250, a:1, s:1, b:1),
% 3.92/4.35 skol31 [248, 3] (w:1, o:205, a:1, s:1, b:1),
% 3.92/4.35 skol32 [249, 5] (w:1, o:276, a:1, s:1, b:1),
% 3.92/4.35 skol33 [250, 3] (w:1, o:206, a:1, s:1, b:1),
% 3.92/4.35 skol34 [251, 4] (w:1, o:251, a:1, s:1, b:1),
% 3.92/4.35 skol35 [252, 4] (w:1, o:252, a:1, s:1, b:1),
% 3.92/4.35 skol36 [253, 4] (w:1, o:253, a:1, s:1, b:1),
% 3.92/4.35 skol37 [254, 4] (w:1, o:254, a:1, s:1, b:1),
% 3.92/4.35 skol38 [255, 2] (w:1, o:149, a:1, s:1, b:1),
% 3.92/4.35 skol39 [256, 2] (w:1, o:150, a:1, s:1, b:1),
% 3.92/4.35 skol40 [257, 4] (w:1, o:255, a:1, s:1, b:1),
% 3.92/4.35 skol41 [258, 4] (w:1, o:256, a:1, s:1, b:1),
% 3.92/4.35 skol42 [259, 2] (w:1, o:151, a:1, s:1, b:1),
% 3.92/4.35 skol43 [260, 4] (w:1, o:257, a:1, s:1, b:1),
% 3.92/4.35 skol44 [261, 3] (w:1, o:207, a:1, s:1, b:1),
% 3.92/4.35 skol45 [262, 3] (w:1, o:208, a:1, s:1, b:1),
% 3.92/4.35 skol46 [263, 4] (w:1, o:258, a:1, s:1, b:1),
% 3.92/4.35 skol47 [264, 3] (w:1, o:209, a:1, s:1, b:1),
% 3.92/4.35 skol48 [265, 3] (w:1, o:210, a:1, s:1, b:1),
% 3.92/4.35 skol49 [266, 2] (w:1, o:152, a:1, s:1, b:1),
% 3.92/4.35 skol50 [267, 4] (w:1, o:259, a:1, s:1, b:1),
% 3.92/4.35 skol51 [268, 4] (w:1, o:260, a:1, s:1, b:1),
% 3.92/4.35 skol52 [269, 2] (w:1, o:153, a:1, s:1, b:1),
% 3.92/4.35 skol53 [270, 2] (w:1, o:154, a:1, s:1, b:1),
% 3.92/4.35 skol54 [271, 2] (w:1, o:155, a:1, s:1, b:1),
% 3.92/4.35 skol55 [272, 2] (w:1, o:156, a:1, s:1, b:1),
% 3.92/4.35 skol56 [273, 2] (w:1, o:157, a:1, s:1, b:1),
% 3.92/4.35 skol57 [274, 3] (w:1, o:211, a:1, s:1, b:1),
% 3.92/4.35 skol58 [275, 3] (w:1, o:212, a:1, s:1, b:1),
% 3.92/4.35 skol59 [276, 3] (w:1, o:213, a:1, s:1, b:1),
% 3.92/4.35 skol60 [277, 2] (w:1, o:158, a:1, s:1, b:1),
% 3.92/4.35 skol61 [278, 3] (w:1, o:214, a:1, s:1, b:1),
% 3.92/4.35 skol62 [279, 4] (w:1, o:261, a:1, s:1, b:1),
% 3.92/4.35 skol63 [280, 6] (w:1, o:288, a:1, s:1, b:1),
% 3.92/4.35 skol64 [281, 5] (w:1, o:277, a:1, s:1, b:1),
% 3.92/4.35 skol65 [282, 5] (w:1, o:278, a:1, s:1, b:1),
% 3.92/4.35 skol66 [283, 3] (w:1, o:215, a:1, s:1, b:1),
% 3.92/4.35 skol67 [284, 3] (w:1, o:216, a:1, s:1, b:1),
% 3.92/4.35 skol68 [285, 5] (w:1, o:279, a:1, s:1, b:1),
% 3.92/4.35 skol69 [286, 4] (w:1, o:262, a:1, s:1, b:1),
% 3.92/4.35 skol70 [287, 6] (w:1, o:290, a:1, s:1, b:1),
% 3.92/4.35 skol71 [288, 6] (w:1, o:291, a:1, s:1, b:1),
% 3.92/4.35 skol72 [289, 6] (w:1, o:292, a:1, s:1, b:1),
% 3.92/4.35 skol73 [290, 7] (w:1, o:303, a:1, s:1, b:1),
% 3.92/4.35 skol74 [291, 4] (w:1, o:263, a:1, s:1, b:1),
% 28.63/29.09 skol75 [292, 3] (w:1, o:217, a:1, s:1, b:1),
% 28.63/29.09 skol76 [293, 3] (w:1, o:218, a:1, s:1, b:1),
% 28.63/29.09 skol77 [294, 4] (w:1, o:264, a:1, s:1, b:1),
% 28.63/29.09 skol78 [295, 4] (w:1, o:265, a:1, s:1, b:1),
% 28.63/29.09 skol79 [296, 2] (w:1, o:159, a:1, s:1, b:1),
% 28.63/29.09 skol80 [297, 2] (w:1, o:160, a:1, s:1, b:1),
% 28.63/29.09 skol81 [298, 2] (w:1, o:161, a:1, s:1, b:1),
% 28.63/29.09 skol82 [299, 6] (w:1, o:294, a:1, s:1, b:1),
% 28.63/29.09 skol83 [300, 3] (w:1, o:219, a:1, s:1, b:1),
% 28.63/29.09 skol84 [301, 6] (w:1, o:295, a:1, s:1, b:1),
% 28.63/29.09 skol85 [302, 3] (w:1, o:220, a:1, s:1, b:1),
% 28.63/29.09 skol86 [303, 6] (w:1, o:296, a:1, s:1, b:1),
% 28.63/29.09 skol87 [304, 6] (w:1, o:297, a:1, s:1, b:1).
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Starting Search:
% 28.63/29.09
% 28.63/29.09 *** allocated 75937 integers for clauses
% 28.63/29.09 *** allocated 113905 integers for clauses
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 170857 integers for clauses
% 28.63/29.09 *** allocated 113905 integers for termspace/termends
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 4267
% 28.63/29.09 Kept: 2006
% 28.63/29.09 Inuse: 131
% 28.63/29.09 Deleted: 2
% 28.63/29.09 Deletedinuse: 1
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 256285 integers for clauses
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 170857 integers for termspace/termends
% 28.63/29.09 *** allocated 384427 integers for clauses
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 9724
% 28.63/29.09 Kept: 4507
% 28.63/29.09 Inuse: 210
% 28.63/29.09 Deleted: 17
% 28.63/29.09 Deletedinuse: 16
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 256285 integers for termspace/termends
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 14589
% 28.63/29.09 Kept: 6576
% 28.63/29.09 Inuse: 305
% 28.63/29.09 Deleted: 17
% 28.63/29.09 Deletedinuse: 16
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 576640 integers for clauses
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 19475
% 28.63/29.09 Kept: 8584
% 28.63/29.09 Inuse: 363
% 28.63/29.09 Deleted: 26
% 28.63/29.09 Deletedinuse: 25
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 384427 integers for termspace/termends
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 22660
% 28.63/29.09 Kept: 10628
% 28.63/29.09 Inuse: 395
% 28.63/29.09 Deleted: 26
% 28.63/29.09 Deletedinuse: 25
% 28.63/29.09
% 28.63/29.09 *** allocated 864960 integers for clauses
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 25787
% 28.63/29.09 Kept: 12756
% 28.63/29.09 Inuse: 435
% 28.63/29.09 Deleted: 28
% 28.63/29.09 Deletedinuse: 27
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 576640 integers for termspace/termends
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 30621
% 28.63/29.09 Kept: 14764
% 28.63/29.09 Inuse: 528
% 28.63/29.09 Deleted: 38
% 28.63/29.09 Deletedinuse: 35
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 1297440 integers for clauses
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 35438
% 28.63/29.09 Kept: 16794
% 28.63/29.09 Inuse: 556
% 28.63/29.09 Deleted: 43
% 28.63/29.09 Deletedinuse: 39
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 40639
% 28.63/29.09 Kept: 18794
% 28.63/29.09 Inuse: 583
% 28.63/29.09 Deleted: 44
% 28.63/29.09 Deletedinuse: 40
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 864960 integers for termspace/termends
% 28.63/29.09 Resimplifying clauses:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 45308
% 28.63/29.09 Kept: 20841
% 28.63/29.09 Inuse: 627
% 28.63/29.09 Deleted: 319
% 28.63/29.09 Deletedinuse: 40
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 50757
% 28.63/29.09 Kept: 23117
% 28.63/29.09 Inuse: 662
% 28.63/29.09 Deleted: 335
% 28.63/29.09 Deletedinuse: 56
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 1946160 integers for clauses
% 28.63/29.09 *** allocated 1297440 integers for termspace/termends
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 59362
% 28.63/29.09 Kept: 26205
% 28.63/29.09 Inuse: 677
% 28.63/29.09 Deleted: 335
% 28.63/29.09 Deletedinuse: 56
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 66493
% 28.63/29.09 Kept: 28551
% 28.63/29.09 Inuse: 687
% 28.63/29.09 Deleted: 335
% 28.63/29.09 Deletedinuse: 56
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 73678
% 28.63/29.09 Kept: 31297
% 28.63/29.09 Inuse: 737
% 28.63/29.09 Deleted: 336
% 28.63/29.09 Deletedinuse: 57
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09 *** allocated 1946160 integers for termspace/termends
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 80687
% 28.63/29.09 Kept: 33317
% 28.63/29.09 Inuse: 770
% 28.63/29.09 Deleted: 336
% 28.63/29.09 Deletedinuse: 57
% 28.63/29.09
% 28.63/29.09 Resimplifying inuse:
% 28.63/29.09 Done
% 28.63/29.09
% 28.63/29.09
% 28.63/29.09 Intermediate Status:
% 28.63/29.09 Generated: 85969
% 28.63/29.09 Kept: 36286
% 28.63/29.09 Inuse: 781
% 28.63/29.09 Deleted: 336
% 61.92/62.38 Deletedinuse: 57
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 *** allocated 2919240 integers for clauses
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 89627
% 61.92/62.38 Kept: 38432
% 61.92/62.38 Inuse: 817
% 61.92/62.38 Deleted: 336
% 61.92/62.38 Deletedinuse: 57
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying clauses:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 94786
% 61.92/62.38 Kept: 40478
% 61.92/62.38 Inuse: 856
% 61.92/62.38 Deleted: 1459
% 61.92/62.38 Deletedinuse: 60
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 100061
% 61.92/62.38 Kept: 42669
% 61.92/62.38 Inuse: 887
% 61.92/62.38 Deleted: 1459
% 61.92/62.38 Deletedinuse: 60
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 105178
% 61.92/62.38 Kept: 44728
% 61.92/62.38 Inuse: 907
% 61.92/62.38 Deleted: 1460
% 61.92/62.38 Deletedinuse: 61
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 112627
% 61.92/62.38 Kept: 47483
% 61.92/62.38 Inuse: 927
% 61.92/62.38 Deleted: 1461
% 61.92/62.38 Deletedinuse: 62
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 *** allocated 2919240 integers for termspace/termends
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 117909
% 61.92/62.38 Kept: 49530
% 61.92/62.38 Inuse: 942
% 61.92/62.38 Deleted: 1461
% 61.92/62.38 Deletedinuse: 62
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 122833
% 61.92/62.38 Kept: 51599
% 61.92/62.38 Inuse: 962
% 61.92/62.38 Deleted: 1464
% 61.92/62.38 Deletedinuse: 65
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 126957
% 61.92/62.38 Kept: 53662
% 61.92/62.38 Inuse: 997
% 61.92/62.38 Deleted: 1464
% 61.92/62.38 Deletedinuse: 65
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 132857
% 61.92/62.38 Kept: 55878
% 61.92/62.38 Inuse: 1027
% 61.92/62.38 Deleted: 1465
% 61.92/62.38 Deletedinuse: 66
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 *** allocated 4378860 integers for clauses
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 138442
% 61.92/62.38 Kept: 58295
% 61.92/62.38 Inuse: 1045
% 61.92/62.38 Deleted: 1465
% 61.92/62.38 Deletedinuse: 66
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying clauses:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 143226
% 61.92/62.38 Kept: 60378
% 61.92/62.38 Inuse: 1092
% 61.92/62.38 Deleted: 1639
% 61.92/62.38 Deletedinuse: 69
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 147164
% 61.92/62.38 Kept: 62386
% 61.92/62.38 Inuse: 1146
% 61.92/62.38 Deleted: 1643
% 61.92/62.38 Deletedinuse: 72
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 150832
% 61.92/62.38 Kept: 64464
% 61.92/62.38 Inuse: 1200
% 61.92/62.38 Deleted: 1657
% 61.92/62.38 Deletedinuse: 85
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 155732
% 61.92/62.38 Kept: 66663
% 61.92/62.38 Inuse: 1240
% 61.92/62.38 Deleted: 1661
% 61.92/62.38 Deletedinuse: 89
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 162332
% 61.92/62.38 Kept: 69242
% 61.92/62.38 Inuse: 1261
% 61.92/62.38 Deleted: 1661
% 61.92/62.38 Deletedinuse: 89
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 169278
% 61.92/62.38 Kept: 71626
% 61.92/62.38 Inuse: 1280
% 61.92/62.38 Deleted: 1661
% 61.92/62.38 Deletedinuse: 89
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 174129
% 61.92/62.38 Kept: 73655
% 61.92/62.38 Inuse: 1304
% 61.92/62.38 Deleted: 1661
% 61.92/62.38 Deletedinuse: 89
% 61.92/62.38
% 61.92/62.38 *** allocated 4378860 integers for termspace/termends
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 180312
% 61.92/62.38 Kept: 76011
% 61.92/62.38 Inuse: 1310
% 61.92/62.38 Deleted: 1661
% 61.92/62.38 Deletedinuse: 89
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 185826
% 61.92/62.38 Kept: 78208
% 61.92/62.38 Inuse: 1315
% 61.92/62.38 Deleted: 1664
% 61.92/62.38 Deletedinuse: 92
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying clauses:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 195466
% 61.92/62.38 Kept: 80214
% 61.92/62.38 Inuse: 1338
% 61.92/62.38 Deleted: 2285
% 61.92/62.38 Deletedinuse: 95
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 206770
% 61.92/62.38 Kept: 82238
% 61.92/62.38 Inuse: 1356
% 61.92/62.38 Deleted: 2287
% 61.92/62.38 Deletedinuse: 97
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 219975
% 61.92/62.38 Kept: 84845
% 61.92/62.38 Inuse: 1395
% 61.92/62.38 Deleted: 2287
% 61.92/62.38 Deletedinuse: 97
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38
% 61.92/62.38 Intermediate Status:
% 61.92/62.38 Generated: 227389
% 61.92/62.38 Kept: 87568
% 61.92/62.38 Inuse: 1415
% 61.92/62.38 Deleted: 2287
% 61.92/62.38 Deletedinuse: 97
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 61.92/62.38 Done
% 61.92/62.38
% 61.92/62.38 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 232748
% 127.99/128.46 Kept: 89689
% 127.99/128.46 Inuse: 1460
% 127.99/128.46 Deleted: 2290
% 127.99/128.46 Deletedinuse: 100
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 *** allocated 6568290 integers for clauses
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 236912
% 127.99/128.46 Kept: 91693
% 127.99/128.46 Inuse: 1490
% 127.99/128.46 Deleted: 2291
% 127.99/128.46 Deletedinuse: 101
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 242947
% 127.99/128.46 Kept: 93764
% 127.99/128.46 Inuse: 1525
% 127.99/128.46 Deleted: 2292
% 127.99/128.46 Deletedinuse: 102
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 247906
% 127.99/128.46 Kept: 95781
% 127.99/128.46 Inuse: 1545
% 127.99/128.46 Deleted: 2292
% 127.99/128.46 Deletedinuse: 102
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 252991
% 127.99/128.46 Kept: 97854
% 127.99/128.46 Inuse: 1565
% 127.99/128.46 Deleted: 2292
% 127.99/128.46 Deletedinuse: 102
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 258565
% 127.99/128.46 Kept: 100560
% 127.99/128.46 Inuse: 1605
% 127.99/128.46 Deleted: 2292
% 127.99/128.46 Deletedinuse: 102
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying clauses:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 265038
% 127.99/128.46 Kept: 102799
% 127.99/128.46 Inuse: 1618
% 127.99/128.46 Deleted: 3184
% 127.99/128.46 Deletedinuse: 118
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 275616
% 127.99/128.46 Kept: 105331
% 127.99/128.46 Inuse: 1643
% 127.99/128.46 Deleted: 3185
% 127.99/128.46 Deletedinuse: 119
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 284155
% 127.99/128.46 Kept: 108111
% 127.99/128.46 Inuse: 1668
% 127.99/128.46 Deleted: 3185
% 127.99/128.46 Deletedinuse: 119
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 290680
% 127.99/128.46 Kept: 110718
% 127.99/128.46 Inuse: 1722
% 127.99/128.46 Deleted: 3186
% 127.99/128.46 Deletedinuse: 119
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 295929
% 127.99/128.46 Kept: 112742
% 127.99/128.46 Inuse: 1756
% 127.99/128.46 Deleted: 3187
% 127.99/128.46 Deletedinuse: 119
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 302155
% 127.99/128.46 Kept: 114864
% 127.99/128.46 Inuse: 1791
% 127.99/128.46 Deleted: 3191
% 127.99/128.46 Deletedinuse: 123
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 *** allocated 6568290 integers for termspace/termends
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 308912
% 127.99/128.46 Kept: 116924
% 127.99/128.46 Inuse: 1813
% 127.99/128.46 Deleted: 3191
% 127.99/128.46 Deletedinuse: 123
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 313775
% 127.99/128.46 Kept: 119067
% 127.99/128.46 Inuse: 1836
% 127.99/128.46 Deleted: 3193
% 127.99/128.46 Deletedinuse: 125
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying clauses:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 319648
% 127.99/128.46 Kept: 121247
% 127.99/128.46 Inuse: 1856
% 127.99/128.46 Deleted: 3840
% 127.99/128.46 Deletedinuse: 125
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 323997
% 127.99/128.46 Kept: 123251
% 127.99/128.46 Inuse: 1886
% 127.99/128.46 Deleted: 3842
% 127.99/128.46 Deletedinuse: 127
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 331903
% 127.99/128.46 Kept: 126308
% 127.99/128.46 Inuse: 1901
% 127.99/128.46 Deleted: 3842
% 127.99/128.46 Deletedinuse: 127
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 336491
% 127.99/128.46 Kept: 128360
% 127.99/128.46 Inuse: 1949
% 127.99/128.46 Deleted: 3843
% 127.99/128.46 Deletedinuse: 127
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 341103
% 127.99/128.46 Kept: 130383
% 127.99/128.46 Inuse: 1997
% 127.99/128.46 Deleted: 3850
% 127.99/128.46 Deletedinuse: 132
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 351547
% 127.99/128.46 Kept: 134083
% 127.99/128.46 Inuse: 2014
% 127.99/128.46 Deleted: 3850
% 127.99/128.46 Deletedinuse: 132
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 *** allocated 9852435 integers for clauses
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 357099
% 127.99/128.46 Kept: 136207
% 127.99/128.46 Inuse: 2043
% 127.99/128.46 Deleted: 3852
% 127.99/128.46 Deletedinuse: 134
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 361894
% 127.99/128.46 Kept: 138496
% 127.99/128.46 Inuse: 2078
% 127.99/128.46 Deleted: 3852
% 127.99/128.46 Deletedinuse: 134
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46 Resimplifying inuse:
% 127.99/128.46 Done
% 127.99/128.46
% 127.99/128.46
% 127.99/128.46 Intermediate Status:
% 127.99/128.46 Generated: 366578
% 127.99/128.46 Kept: 140606
% 127.99/128.46 Inuse: 2103
% 127.99/128.46 Deleted: 3852
% 127.99/128.46 Deletedinuse: 134
% 127.99/128.46
% 127.99/128.46 Resimplifying clauses:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 371361
% 279.74/280.21 Kept: 142615
% 279.74/280.21 Inuse: 2142
% 279.74/280.21 Deleted: 4137
% 279.74/280.21 Deletedinuse: 140
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 376309
% 279.74/280.21 Kept: 144767
% 279.74/280.21 Inuse: 2158
% 279.74/280.21 Deleted: 4138
% 279.74/280.21 Deletedinuse: 141
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 381068
% 279.74/280.21 Kept: 146902
% 279.74/280.21 Inuse: 2178
% 279.74/280.21 Deleted: 4138
% 279.74/280.21 Deletedinuse: 141
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 386198
% 279.74/280.21 Kept: 149105
% 279.74/280.21 Inuse: 2208
% 279.74/280.21 Deleted: 4139
% 279.74/280.21 Deletedinuse: 142
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 400468
% 279.74/280.21 Kept: 151282
% 279.74/280.21 Inuse: 2218
% 279.74/280.21 Deleted: 4140
% 279.74/280.21 Deletedinuse: 143
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 414766
% 279.74/280.21 Kept: 153434
% 279.74/280.21 Inuse: 2228
% 279.74/280.21 Deleted: 4141
% 279.74/280.21 Deletedinuse: 144
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 420628
% 279.74/280.21 Kept: 155434
% 279.74/280.21 Inuse: 2256
% 279.74/280.21 Deleted: 4142
% 279.74/280.21 Deletedinuse: 145
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 425684
% 279.74/280.21 Kept: 157467
% 279.74/280.21 Inuse: 2299
% 279.74/280.21 Deleted: 4142
% 279.74/280.21 Deletedinuse: 145
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 431093
% 279.74/280.21 Kept: 159490
% 279.74/280.21 Inuse: 2322
% 279.74/280.21 Deleted: 4142
% 279.74/280.21 Deletedinuse: 145
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying clauses:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 436027
% 279.74/280.21 Kept: 161508
% 279.74/280.21 Inuse: 2333
% 279.74/280.21 Deleted: 4327
% 279.74/280.21 Deletedinuse: 146
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 441366
% 279.74/280.21 Kept: 163515
% 279.74/280.21 Inuse: 2345
% 279.74/280.21 Deleted: 4327
% 279.74/280.21 Deletedinuse: 146
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21 Resimplifying inuse:
% 279.74/280.21 Done
% 279.74/280.21
% 279.74/280.21
% 279.74/280.21 Intermediate Status:
% 279.74/280.21 Generated: 447923
% 279.74/280.21 Kept: 165881
% 279.74/280.21 Inuse: 2363
% 279.74/280.21 Deleted: 4331
% 279.74/280.21 Deletedinuse: 150
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 464014
% 279.74/280.22 Kept: 169303
% 279.74/280.22 Inuse: 2378
% 279.74/280.22 Deleted: 4331
% 279.74/280.22 Deletedinuse: 150
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 470035
% 279.74/280.22 Kept: 171624
% 279.74/280.22 Inuse: 2393
% 279.74/280.22 Deleted: 4331
% 279.74/280.22 Deletedinuse: 150
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 *** allocated 9852435 integers for termspace/termends
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 475279
% 279.74/280.22 Kept: 173714
% 279.74/280.22 Inuse: 2418
% 279.74/280.22 Deleted: 4332
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 482391
% 279.74/280.22 Kept: 175761
% 279.74/280.22 Inuse: 2463
% 279.74/280.22 Deleted: 4334
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 491075
% 279.74/280.22 Kept: 177913
% 279.74/280.22 Inuse: 2486
% 279.74/280.22 Deleted: 4334
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 497578
% 279.74/280.22 Kept: 180039
% 279.74/280.22 Inuse: 2501
% 279.74/280.22 Deleted: 4334
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying clauses:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 504454
% 279.74/280.22 Kept: 182052
% 279.74/280.22 Inuse: 2516
% 279.74/280.22 Deleted: 4463
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 512517
% 279.74/280.22 Kept: 184122
% 279.74/280.22 Inuse: 2535
% 279.74/280.22 Deleted: 4463
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 518022
% 279.74/280.22 Kept: 186161
% 279.74/280.22 Inuse: 2545
% 279.74/280.22 Deleted: 4463
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 524708
% 279.74/280.22 Kept: 188255
% 279.74/280.22 Inuse: 2557
% 279.74/280.22 Deleted: 4463
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 530659
% 279.74/280.22 Kept: 190342
% 279.74/280.22 Inuse: 2581
% 279.74/280.22 Deleted: 4463
% 279.74/280.22 Deletedinuse: 151
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22 Resimplifying inuse:
% 279.74/280.22 Done
% 279.74/280.22
% 279.74/280.22
% 279.74/280.22 Intermediate Status:
% 279.74/280.22 Generated: 546751
% 279.74/280.22 Kept: 1Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------