TSTP Solution File: SCT113+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : SCT113+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n003.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 21:01:20 EDT 2022

% Result   : Timeout 300.02s 300.52s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SCT113+1 : TPTP v8.1.0. Released v5.2.0.
% 0.04/0.13  % Command  : bliksem %s
% 0.13/0.34  % Computer : n003.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % DateTime : Sat Jul  2 08:27:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.82/1.36  *** allocated 10000 integers for termspace/termends
% 0.82/1.36  *** allocated 10000 integers for clauses
% 0.82/1.36  *** allocated 10000 integers for justifications
% 0.82/1.36  *** allocated 15000 integers for termspace/termends
% 0.82/1.36  Bliksem 1.12
% 0.82/1.36  
% 0.82/1.36  
% 0.82/1.36  Automatic Strategy Selection
% 0.82/1.36  
% 0.82/1.36  *** allocated 22500 integers for termspace/termends
% 0.82/1.36  *** allocated 33750 integers for termspace/termends
% 0.82/1.36  *** allocated 50625 integers for termspace/termends
% 0.82/1.36  *** allocated 75937 integers for termspace/termends
% 0.82/1.36  
% 0.82/1.36  Clauses:
% 0.82/1.36  
% 0.82/1.36  { ! hAPP( Y, skol1( X, Y ) ) = hAPP( X, skol1( X, Y ) ), Y = X }.
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    tc_HOL_Obool ), c_Arrow__Order__Mirabelle_Omktop( X, Y ), 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ) }.
% 0.82/1.36  { ! Y = X, alpha43( X, Y, Z, T ), ! c_member( T, Z, Y ) }.
% 0.82/1.36  { ! Y = X, alpha43( X, Y, Z, T ), ! c_member( T, Z, X ) }.
% 0.82/1.36  { ! alpha43( X, Y, Z, T ), c_member( T, Z, Y ) }.
% 0.82/1.36  { ! alpha43( X, Y, Z, T ), c_member( T, Z, X ) }.
% 0.82/1.36  { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), alpha43( X, Y, Z, T ) }.
% 0.82/1.36  { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), skol2, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ) }.
% 0.82/1.36  { ! c_member( Z, Y, X ), hBOOL( hAPP( X, Y ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( X, Y ) ), c_member( Z, Y, X ) }.
% 0.82/1.36  { ! c_member( Z, Y, c_fequal( X ) ), Y = X }.
% 0.82/1.36  { ! Y = X, c_member( Z, Y, c_fequal( X ) ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, Z, X ), c_member( T, Z, Y ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, Y, Z ), c_member( T, X, Z ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, X, Z ), c_member( T, Y, Z ) }.
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), c_Relation_Oconverse( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X ), 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    tc_HOL_Obool ), X, c_Arrow__Order__Mirabelle_OLin ) }.
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), c_member( tc_fun( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    tc_HOL_Obool ), c_Relation_Oconverse( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, X ), c_Arrow__Order__Mirabelle_OLin ) }
% 0.82/1.36    .
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), Z = Y, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ), c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), X, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), Z = Y, ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Y, Z ), X ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Z, Y ), X ) }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.82/1.36    ( Z, Y, X ) ), ! U = T }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Obelow
% 0.82/1.36    ( Z, Y, X ) ), alpha28( X, Y, Z, T, U ) }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha28( X, Y, Z, T, U ), 
% 0.82/1.36    c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Obelow( Z, Y, X ) ) }.
% 0.82/1.36  { ! alpha28( X, Y, Z, T, U ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha28( X, Y, Z, T, U ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha35( X, Y, Z, T, U ), ! alpha37( X, Y, Z, T, U ), alpha28( X, Y, Z
% 0.82/1.36    , T, U ) }.
% 0.82/1.36  { ! alpha37( X, Y, Z, T, U ), T = Y, alpha39( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! T = Y, alpha37( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha39( X, Y, Z, T, U ), alpha37( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha39( X, Y, Z, T, U ), alpha41( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha39( X, Y, Z, T, U ), alpha18( Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha41( X, Y, Z, T, U ), ! alpha18( Y, Z, T, U ), alpha39( X, Y, Z, T
% 0.82/1.36    , U ) }.
% 0.82/1.36  { ! alpha41( X, Y, Z, T, U ), ! U = Y, alpha1( X, Z, T ) }.
% 0.82/1.36  { U = Y, alpha41( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha1( X, Z, T ), alpha41( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha35( X, Y, Z, T, U ), ! T = Y, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, U, X ), Z ) }.
% 0.82/1.36  { T = Y, alpha35( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, X )
% 0.82/1.36    , Z ), alpha35( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha18( X, Y, Z, T ), T = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.82/1.36  { ! T = X, alpha18( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , Y ), alpha18( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha1( X, Y, Z ), Z = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, X, Z ), Y ) }.
% 0.82/1.36  { ! Z = X, alpha1( X, Y, Z ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, X, Z )
% 0.82/1.36    , Y ), alpha1( X, Y, Z ) }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.82/1.36    ( Z, Y, X ) ), ! U = T }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), ! c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, U, T ), c_Arrow__Order__Mirabelle_Oabove
% 0.82/1.36    ( Z, Y, X ) ), alpha29( X, Y, Z, T, U ) }.
% 0.82/1.36  { Y = X, ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Arrow__Order__Mirabelle_OLin ), U = T, ! alpha29( X, Y, Z, T, U ), 
% 0.82/1.36    c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, U, T )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Oabove( Z, Y, X ) ) }.
% 0.82/1.36  { ! alpha29( X, Y, Z, T, U ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha29( X, Y, Z, T, U ), alpha38( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha36( X, Y, Z, T, U ), ! alpha38( X, Y, Z, T, U ), alpha29( X, Y, Z
% 0.82/1.36    , T, U ) }.
% 0.82/1.36  { ! alpha38( X, Y, Z, T, U ), U = X, alpha40( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! U = X, alpha38( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha40( X, Y, Z, T, U ), alpha38( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha40( X, Y, Z, T, U ), alpha42( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha40( X, Y, Z, T, U ), alpha19( X, Z, T, U ) }.
% 0.82/1.36  { ! alpha42( X, Y, Z, T, U ), ! alpha19( X, Z, T, U ), alpha40( X, Y, Z, T
% 0.82/1.36    , U ) }.
% 0.82/1.36  { ! alpha42( X, Y, Z, T, U ), ! T = X, alpha2( Y, Z, U ) }.
% 0.82/1.36  { T = X, alpha42( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha2( Y, Z, U ), alpha42( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha36( X, Y, Z, T, U ), ! U = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Y, T ), Z ) }.
% 0.82/1.36  { U = X, alpha36( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Y, T )
% 0.82/1.36    , Z ), alpha36( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! alpha19( X, Y, Z, T ), Z = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.82/1.36  { ! Z = X, alpha19( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , Y ), alpha19( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha2( X, Y, Z ), Z = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, Z, X ), Y ) }.
% 0.82/1.36  { ! Z = X, alpha2( X, Y, Z ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, Z, X )
% 0.82/1.36    , Y ), alpha2( X, Y, Z ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), ! Z = X }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Omkbot( Y, X ) ), alpha20( X, Y, Z, T ) }.
% 0.82/1.36  { Z = X, ! alpha20( X, Y, Z, T ), c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omkbot
% 0.82/1.36    ( Y, X ) ) }.
% 0.82/1.36  { ! alpha20( X, Y, Z, T ), alpha3( X, Z, T ) }.
% 0.82/1.36  { ! alpha20( X, Y, Z, T ), alpha30( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha3( X, Z, T ), ! alpha30( X, Y, Z, T ), alpha20( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha30( X, Y, Z, T ), T = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.82/1.36  { ! T = X, alpha30( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , Y ), alpha30( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha3( X, Y, Z ), ! Z = X, ! Z = Y }.
% 0.82/1.36  { Z = X, alpha3( X, Y, Z ) }.
% 0.82/1.36  { Z = Y, alpha3( X, Y, Z ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), ! T = X }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , c_Arrow__Order__Mirabelle_Omktop( Y, X ) ), alpha21( X, Y, Z, T ) }.
% 0.82/1.36  { T = X, ! alpha21( X, Y, Z, T ), c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), c_Arrow__Order__Mirabelle_Omktop
% 0.82/1.36    ( Y, X ) ) }.
% 0.82/1.36  { ! alpha21( X, Y, Z, T ), alpha4( X, Z, T ) }.
% 0.82/1.36  { ! alpha21( X, Y, Z, T ), alpha31( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha4( X, Z, T ), ! alpha31( X, Y, Z, T ), alpha21( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha31( X, Y, Z, T ), Z = X, c_member( tc_prod( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt ), 
% 0.82/1.36    c_Product__Type_OPair( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, T, Z ), Y ) }.
% 0.82/1.36  { ! Z = X, alpha31( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt ), c_Product__Type_OPair( 
% 0.82/1.36    tc_Arrow__Order__Mirabelle_Oalt, tc_Arrow__Order__Mirabelle_Oalt, T, Z )
% 0.82/1.36    , Y ), alpha31( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha4( X, Y, Z ), ! Y = X, ! Z = Y }.
% 0.82/1.36  { Y = X, alpha4( X, Y, Z ) }.
% 0.82/1.36  { Z = Y, alpha4( X, Y, Z ) }.
% 0.82/1.36  { ! c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X )
% 0.82/1.36     ), hBOOL( hAPP( hAPP( Z, Y ), U ) ) }.
% 0.82/1.36  { ! c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X )
% 0.82/1.36     ), hBOOL( hAPP( hAPP( T, U ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Z, Y ), U ) ), ! hBOOL( hAPP( hAPP( T, U ), X ) ), 
% 0.82/1.36    c_member( W, U, c_SetInterval_Oord_OgreaterThanAtMost( W, T, Z, Y, X ) )
% 0.82/1.36     }.
% 0.82/1.36  { ! c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) )
% 0.82/1.36    , hBOOL( hAPP( hAPP( T, Y ), U ) ) }.
% 0.82/1.36  { ! c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) )
% 0.82/1.36    , hBOOL( hAPP( hAPP( Z, U ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( T, Y ), U ) ), ! hBOOL( hAPP( hAPP( Z, U ), X ) ), 
% 0.82/1.36    c_member( W, U, c_SetInterval_Oord_OatLeastLessThan( W, T, Z, Y, X ) ) }
% 0.82/1.36    .
% 0.82/1.36  { ! c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) )
% 0.82/1.36    , hBOOL( hAPP( hAPP( Z, Y ), T ) ) }.
% 0.82/1.36  { ! c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) )
% 0.82/1.36    , hBOOL( hAPP( hAPP( Z, T ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Z, Y ), T ) ), ! hBOOL( hAPP( hAPP( Z, T ), X ) ), 
% 0.82/1.36    c_member( U, T, c_SetInterval_Oord_OgreaterThanLessThan( U, Z, Y, X ) ) }
% 0.82/1.36    .
% 0.82/1.36  { ! c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ), 
% 0.82/1.36    hBOOL( hAPP( hAPP( Z, Y ), T ) ) }.
% 0.82/1.36  { ! c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ), 
% 0.82/1.36    hBOOL( hAPP( hAPP( Z, T ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Z, Y ), T ) ), ! hBOOL( hAPP( hAPP( Z, T ), X ) ), 
% 0.82/1.36    c_member( U, T, c_SetInterval_Oord_OatLeastAtMost( U, Z, Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), 
% 0.82/1.36    c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ), 
% 0.82/1.36    c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), X ), 
% 0.82/1.36    c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), 
% 0.82/1.36    c_Relation_Oconverse( T, U, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), X ), 
% 0.82/1.36    c_member( tc_prod( T, U ), c_Product__Type_OPair( T, U, Y, Z ), 
% 0.82/1.36    c_Relation_Oconverse( U, T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Z, Y ), 
% 0.82/1.36    c_Relation_Oconverse( T, U, X ) ), c_member( tc_prod( T, U ), 
% 0.82/1.36    c_Product__Type_OPair( T, U, Y, Z ), X ) }.
% 0.82/1.36  { ! c_member( T, Z, c_SetInterval_Oord_OatMost( T, Y, X ) ), hBOOL( hAPP( 
% 0.82/1.36    hAPP( Y, Z ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Y, Z ), X ) ), c_member( T, Z, 
% 0.82/1.36    c_SetInterval_Oord_OatMost( T, Y, X ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_SetInterval_Oord_OatLeast( T, Y, X ) ), hBOOL( hAPP( 
% 0.82/1.36    hAPP( Y, X ), Z ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Y, X ), Z ) ), c_member( T, Z, 
% 0.82/1.36    c_SetInterval_Oord_OatLeast( T, Y, X ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_SetInterval_Oord_OlessThan( T, Y, X ) ), hBOOL( hAPP
% 0.82/1.36    ( hAPP( Y, Z ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Y, Z ), X ) ), c_member( T, Z, 
% 0.82/1.36    c_SetInterval_Oord_OlessThan( T, Y, X ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_SetInterval_Oord_OgreaterThan( T, Y, X ) ), hBOOL( 
% 0.82/1.36    hAPP( hAPP( Y, X ), Z ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( Y, X ), Z ) ), c_member( T, Z, 
% 0.82/1.36    c_SetInterval_Oord_OgreaterThan( T, Y, X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ), c_member( 
% 0.82/1.36    tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ) }.
% 0.82/1.36  { ! c_member( tc_prod( U, T ), c_Product__Type_OPair( U, T, Y, X ), Z ), 
% 0.82/1.36    hBOOL( hAPP( hAPP( c_FunDef_Oin__rel( U, T, Z ), Y ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Y, X ) ), ! c_member( tc_prod( W, W ), 
% 0.82/1.36    c_Product__Type_OPair( W, W, U, T ), hAPP( Z, X ) ), c_member( tc_prod( 
% 0.82/1.36    tc_prod( V0, W ), tc_prod( V0, W ) ), c_Product__Type_OPair( tc_prod( V0
% 0.82/1.36    , W ), tc_prod( V0, W ), c_Product__Type_OPair( V0, W, X, U ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, X, T ) ), c_Recdef_Osame__fst( V0, W, Y, Z
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_Nitpick_Orefl_H( Y, X ), c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol3( X, Y ), 
% 0.82/1.36    skol3( X, Y ) ), X ), c_Nitpick_Orefl_H( Y, X ) }.
% 0.82/1.36  { c_Relation_Oconverse( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = X }.
% 0.82/1.36  { ! c_Relation_Oirrefl( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol4( X, Y ), 
% 0.82/1.36    skol4( X, Y ) ), X ), c_Relation_Oirrefl( Y, X ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ), 
% 0.82/1.36    c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T, 
% 0.82/1.36    Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ), c_member( tc_prod( V1
% 0.82/1.36    , V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y ), alpha5( X, Z, T, U, W
% 0.82/1.36    , V0 ) }.
% 0.82/1.36  { ! c_member( tc_prod( V1, V1 ), c_Product__Type_OPair( V1, V1, W, T ), Y )
% 0.82/1.36    , c_member( tc_prod( tc_prod( V1, V0 ), tc_prod( V1, V0 ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( V1, V0 ), 
% 0.82/1.36    c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( V1, V0, T, 
% 0.82/1.36    Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.82/1.36  { ! alpha5( X, Z, T, U, W, V0 ), c_member( tc_prod( tc_prod( V1, V0 ), 
% 0.82/1.36    tc_prod( V1, V0 ) ), c_Product__Type_OPair( tc_prod( V1, V0 ), tc_prod( 
% 0.82/1.36    V1, V0 ), c_Product__Type_OPair( V1, V0, W, U ), c_Product__Type_OPair( 
% 0.82/1.36    V1, V0, T, Z ) ), c_Wellfounded_Olex__prod( V1, V0, Y, X ) ) }.
% 0.82/1.36  { ! alpha5( X, Y, Z, T, U, W ), U = Z }.
% 0.82/1.36  { ! alpha5( X, Y, Z, T, U, W ), c_member( tc_prod( W, W ), 
% 0.82/1.36    c_Product__Type_OPair( W, W, T, Y ), X ) }.
% 0.82/1.36  { ! U = Z, ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, T, Y )
% 0.82/1.36    , X ), alpha5( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ), Y = 
% 0.82/1.36    c_Product__Type_OPair( T, Z, skol65( X, Y, Z, T ), skol5( X, Y, Z, T ) )
% 0.82/1.36     }.
% 0.82/1.36  { ! c_member( tc_prod( T, Z ), Y, c_Relation_Oconverse( Z, T, X ) ), 
% 0.82/1.36    c_member( tc_prod( Z, T ), c_Product__Type_OPair( Z, T, skol5( X, Y, Z, T
% 0.82/1.36     ), skol65( X, Y, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, U, Y ), X ), 
% 0.82/1.36    c_member( Z, Y, c_Relation_ORange( T, Z, X ) ) }.
% 0.82/1.36  { ! Y = X, ! c_member( T, Y, Z ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, X ), c_Relation_OId__on( T, Z ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Relation_OId__on( T, X ) ), Z = Y }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Relation_OId__on( T, X ) ), c_member( T, Z, X ) }.
% 0.82/1.36  { ! Z = Y, ! c_member( T, Z, X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), c_Relation_OId__on( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, Z ), c_Product__Type_OPair( T, Z, Y, U ), X ), 
% 0.82/1.36    c_member( T, Y, c_Relation_ODomain( T, Z, X ) ) }.
% 0.82/1.36  { ! c_Relation_Ototal__on( Z, Y, X ), ! c_member( Z, T, Y ), alpha6( X, Y, 
% 0.82/1.36    Z, T ) }.
% 0.82/1.36  { c_member( Z, skol6( T, Y, Z ), Y ), c_Relation_Ototal__on( Z, Y, X ) }.
% 0.82/1.36  { ! alpha6( X, Y, Z, skol6( X, Y, Z ) ), c_Relation_Ototal__on( Z, Y, X ) }
% 0.82/1.36    .
% 0.82/1.36  { ! alpha6( X, Y, Z, T ), ! c_member( Z, U, Y ), alpha22( X, Z, T, U ) }.
% 0.82/1.36  { c_member( Z, skol7( U, Y, Z, W ), Y ), alpha6( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha22( X, Z, T, skol7( X, Y, Z, T ) ), alpha6( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha22( X, Y, Z, T ), Z = T, alpha32( X, Y, Z, T ) }.
% 0.82/1.36  { ! Z = T, alpha22( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha32( X, Y, Z, T ), alpha22( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha32( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.82/1.36    ( Y, Y, Z, T ), X ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y
% 0.82/1.36    , Y, T, Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, Z, T ), X ), 
% 0.82/1.36    alpha32( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), 
% 0.82/1.36    alpha32( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, U, T ), 
% 0.82/1.36    c_Relation_Oinv__image( Z, W, Y, X ) ), c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, hAPP( X, U ), hAPP( X, T ) ), Y ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, hAPP( X, U ), 
% 0.82/1.36    hAPP( X, T ) ), Y ), c_member( tc_prod( W, W ), c_Product__Type_OPair( W
% 0.82/1.36    , W, U, T ), c_Relation_Oinv__image( Z, W, Y, X ) ) }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, U, T ), X ), c_member( Z, T, Y ) }.
% 0.82/1.36  { c_Relation_Orefl__on( Y, X, c_Relation_OId__on( Y, X ) ) }.
% 0.82/1.36  { c_Relation_ORange( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.82/1.36  { c_Relation_ODomain( Y, Y, c_Relation_OId__on( Y, X ) ) = X }.
% 0.82/1.36  { c_Relation_ORange( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = 
% 0.82/1.36    c_Relation_ODomain( Y, Z, X ) }.
% 0.82/1.36  { c_Relation_ODomain( Z, Y, c_Relation_Oconverse( Y, Z, X ) ) = 
% 0.82/1.36    c_Relation_ORange( Y, Z, X ) }.
% 0.82/1.36  { c_Relation_ORange( Z, Y, X ) = c_Relation_ODomain( Y, Z, 
% 0.82/1.36    c_Relation_Oconverse( Z, Y, X ) ) }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ), 
% 0.82/1.36    c_Relation_Orefl__on( Z, Y, X ) }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, X ), c_Relation_Orefl__on( Z, Y, 
% 0.82/1.36    c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.82/1.36  { c_Relation_Oconverse( Y, Y, c_Relation_OId__on( Y, X ) ) = 
% 0.82/1.36    c_Relation_OId__on( Y, X ) }.
% 0.82/1.36  { c_Relation_Oconverse( T, T, c_Relation_Oinv__image( Z, T, Y, X ) ) = 
% 0.82/1.36    c_Relation_Oinv__image( Z, T, c_Relation_Oconverse( Z, Z, Y ), X ) }.
% 0.82/1.36  { ! c_Relation_Ototal__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) ), 
% 0.82/1.36    c_Relation_Ototal__on( Z, Y, X ) }.
% 0.82/1.36  { ! c_Relation_Ototal__on( Z, Y, X ), c_Relation_Ototal__on( Z, Y, 
% 0.82/1.36    c_Relation_Oconverse( Z, Z, X ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T, 
% 0.82/1.36    Y ), c_Product__Type_OPair( T, Y, Z, skol8( X, Y, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, Y ), c_Product__Type_OPair( T, Y, Z, U ), X ), 
% 0.82/1.36    c_member( T, Z, c_Relation_ODomain( T, Y, X ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.82/1.36     ), c_Product__Type_OPair( Y, T, skol9( X, Y, Z, T ), Z ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, T ), c_Product__Type_OPair( Y, T, U, Z ), X ), 
% 0.82/1.36    c_member( T, Z, c_Relation_ORange( Y, T, X ) ) }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( Z, T, Y ), c_member( 
% 0.82/1.36    tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, T ), X ) }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, X ), ! c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, T, U ), X ), c_member( Z, T, Y ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), Y = 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, skol10( T, Y, Z ), skol10( T, Y, Z ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), Y, c_Relation_OId__on( Z, X ) ), c_member( Z
% 0.82/1.36    , skol10( X, Y, Z ), X ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Relation_ORange( Y, T, X ) ), c_member( tc_prod( Y, T
% 0.82/1.36     ), c_Product__Type_OPair( Y, T, skol11( X, Y, Z, T ), Z ), X ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Relation_ODomain( T, Y, X ) ), c_member( tc_prod( T, 
% 0.82/1.36    Y ), c_Product__Type_OPair( T, Y, Z, skol12( X, Y, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.82/1.36     ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T, 
% 0.82/1.36    c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { ! c_member( Z, skol13( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.82/1.36    ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol13( X, Y, Z )
% 0.82/1.36    , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.82/1.36     ), c_Product__Type_OPair( Z, Z, T, Y ), X ), c_member( Z, T, 
% 0.82/1.36    c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), hAPP( 
% 0.82/1.36    hAPP( Z, X ), Y ) = hAPP( hAPP( Z, skol14( X, Y, Z, V0, V1, V2 ) ), Y ) }
% 0.82/1.36    .
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y ) ), alpha7
% 0.82/1.36    ( Y, Z, T, U, W, skol14( X, Y, Z, T, U, W ) ) }.
% 0.82/1.36  { ! hAPP( hAPP( Z, X ), Y ) = hAPP( hAPP( Z, V0 ), Y ), ! alpha7( Y, Z, T, 
% 0.82/1.36    U, W, V0 ), c_Recdef_Owfrec__rel( W, U, T, Z, Y, hAPP( hAPP( Z, X ), Y )
% 0.82/1.36     ) }.
% 0.82/1.36  { ! alpha7( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ), 
% 0.82/1.36    c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.82/1.36    , Y, V0, hAPP( W, V0 ) ) }.
% 0.82/1.36  { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol15( X, V0, Z
% 0.82/1.36    , V1, U, V2 ), X ), Z ), alpha7( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol15( X, Y, Z, T, U, W ), hAPP( W, 
% 0.82/1.36    skol15( X, Y, Z, T, U, W ) ) ), alpha7( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Y, T, U ), X ), alpha8( X, Y, Z, T, U ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol16( X, Y, Z )
% 0.82/1.36    , skol66( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.82/1.36  { ! alpha8( X, Y, Z, skol16( X, Y, Z ), skol66( X, Y, Z ) ), 
% 0.82/1.36    c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.82/1.36  { ! alpha8( X, Y, Z, T, U ), ! c_member( tc_prod( Z, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Y, T, W ), X ), U = W }.
% 0.82/1.36  { ! U = skol17( W, V0, V1, V2, U ), alpha8( X, Y, Z, T, U ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, T, skol17( X, Y, 
% 0.82/1.36    Z, T, U ) ), X ), alpha8( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! c_Relation_Osingle__valued( Z, Y, X ), ! c_member( tc_prod( Z, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Y, U, T ), X ), ! c_member( tc_prod( Z, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Y, U, W ), X ), T = W }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), T ), 
% 0.82/1.36    hAPP( c_Recdef_Ocut( Z, U, W, T, X ), Y ) = hAPP( W, Y ) }.
% 0.82/1.36  { ! c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ), ! 
% 0.82/1.36    c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, V0, Y ), Z ), 
% 0.82/1.36    hAPP( T, V0 ) = hAPP( X, V0 ) }.
% 0.82/1.36  { ! hAPP( T, skol18( X, V0, V1, T, V2 ) ) = hAPP( X, skol18( X, V0, V1, T, 
% 0.82/1.36    V2 ) ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X, Z, Y ) }
% 0.82/1.36    .
% 0.82/1.36  { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol18( X, Y, Z, 
% 0.82/1.36    T, W ), Y ), Z ), c_Recdef_Ocut( W, U, T, Z, Y ) = c_Recdef_Ocut( W, U, X
% 0.82/1.36    , Z, Y ) }.
% 0.82/1.36  { c_Relation_Osingle__valued( Y, Y, c_Relation_OId__on( Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), 
% 0.82/1.36    hAPP( c_Recdef_Ocut( T, W, U, X, Y ), Z ) = hAPP( U, Z ) }.
% 0.82/1.36  { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( Z, skol19( X, T
% 0.82/1.36    , Z ), c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, skol19( X, Y, Z ), Y ), X ) }.
% 0.82/1.36  { ! c_member( Z, skol20( X, T, Z ), c_Wellfounded_Oacc( Z, X ) ), c_member
% 0.82/1.36    ( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, skol20( X, Y, Z )
% 0.82/1.36    , Y ), X ), c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { c_member( tc_prod( W, W ), c_Product__Type_OPair( W, W, skol21( V0, V1, 
% 0.82/1.36    V2, T, U, W ), U ), T ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP( hAPP
% 0.82/1.36    ( Y, X ), U ) ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( W, Z, T, Y, skol21( X, Y, Z, T, U, W ), hAPP( X, 
% 0.82/1.36    skol21( X, Y, Z, T, U, W ) ) ), c_Recdef_Owfrec__rel( W, Z, T, Y, U, hAPP
% 0.82/1.36    ( hAPP( Y, X ), U ) ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), X = hAPP( hAPP( Z, skol22( X
% 0.82/1.36    , Y, Z, V0, V1, V2 ) ), Y ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ), alpha9( Y, Z, T, U, W, skol22
% 0.82/1.36    ( X, Y, Z, T, U, W ) ) }.
% 0.82/1.36  { ! X = hAPP( hAPP( Z, V0 ), Y ), ! alpha9( Y, Z, T, U, W, V0 ), 
% 0.82/1.36    c_Recdef_Owfrec__rel( W, U, T, Z, Y, X ) }.
% 0.82/1.36  { ! alpha9( X, Y, Z, T, U, W ), ! c_member( tc_prod( U, U ), 
% 0.82/1.36    c_Product__Type_OPair( U, U, V0, X ), Z ), c_Recdef_Owfrec__rel( U, T, Z
% 0.82/1.36    , Y, V0, hAPP( W, V0 ) ) }.
% 0.82/1.36  { c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, skol23( X, V0, Z
% 0.82/1.36    , V1, U, V2 ), X ), Z ), alpha9( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { ! c_Recdef_Owfrec__rel( U, T, Z, Y, skol23( X, Y, Z, T, U, W ), hAPP( W, 
% 0.82/1.36    skol23( X, Y, Z, T, U, W ) ) ), alpha9( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol24( X, Y, Z )
% 0.82/1.36    , skol67( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Y ), c_Product__Type_OPair( Z, Y, skol24( X, Y, Z )
% 0.82/1.36    , skol79( X, Y, Z ) ), X ), c_Relation_Osingle__valued( Z, Y, X ) }.
% 0.82/1.36  { ! skol67( X, Y, Z ) = skol79( X, Y, Z ), c_Relation_Osingle__valued( Z, Y
% 0.82/1.36    , X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( T, Y, 
% 0.82/1.36    c_Wellfounded_Oacc( T, X ) ), c_member( T, Z, c_Wellfounded_Oacc( T, X )
% 0.82/1.36     ) }.
% 0.82/1.36  { ! c_member( Z, Y, c_Wellfounded_Oacc( Z, X ) ), ! c_member( tc_prod( Z, Z
% 0.82/1.36     ), c_Product__Type_OPair( Z, Z, T, Y ), c_Transitive__Closure_Ortrancl( 
% 0.82/1.36    Z, X ) ), c_member( Z, T, c_Wellfounded_Oacc( Z, X ) ) }.
% 0.82/1.36  { c_Nitpick_Owf__wfrec_H( U, T, Z, Y, X ) = hAPP( hAPP( Y, c_Recdef_Ocut( U
% 0.82/1.36    , T, c_Nitpick_Owf__wfrec( U, T, Z, Y ), Z, X ) ), X ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, X, X ), 
% 0.82/1.36    c_Relation_OId( Y ) ) }.
% 0.82/1.36  { c_Relation_Oconverse( X, X, c_Relation_OId( X ) ) = c_Relation_OId( X ) }
% 0.82/1.36    .
% 0.82/1.36  { c_Relation_Osingle__valued( X, X, c_Relation_OId( X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), 
% 0.82/1.36    c_Relation_OId( Z ) ), Y = X }.
% 0.82/1.36  { ! Y = X, c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, X ), 
% 0.82/1.36    c_Relation_OId( Z ) ) }.
% 0.82/1.36  { c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y, 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.82/1.36  { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! c_member( tc_prod( Z, 
% 0.82/1.36    Z ), c_Product__Type_OPair( Z, Z, Y, T ), c_Transitive__Closure_Ortrancl
% 0.82/1.36    ( Z, X ) ), Y = T }.
% 0.82/1.36  { c_member( Z, Y, c_Relation_ODomain( Z, Z, X ) ), ! Y = T, c_member( 
% 0.82/1.36    tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, Y, T ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.82/1.36  { ! c_Relation_Osingle__valued( Y, Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, T, Z ), c_Transitive__Closure_Ortrancl( Y, X
% 0.82/1.36     ) ), ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Y, X ) ), c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, U ), c_Transitive__Closure_Ortrancl( Y, X
% 0.82/1.36     ) ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, Z ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, 
% 0.82/1.36    c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, c_Relation_Oconverse( T, T, X ) ) ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, Z ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), ! 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.82/1.36     ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.36  { c_Transitive__Closure_Ortrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) = 
% 0.82/1.36    c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, Y ), X, c_Relation_OId( Y ) ), X = 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, skol25( X, Y ), skol25( X, Y ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL( 
% 0.82/1.36    hAPP( hAPP( V1, U ), T ) ), c_member( tc_prod( tc_prod( V0, W ), tc_prod
% 0.82/1.36    ( V0, W ) ), c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, 
% 0.82/1.36    skol26( X, T, U, W, V0, V1 ), skol68( X, T, U, W, V0, V1 ) ) ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), hBOOL( hAPP( 
% 0.82/1.36    hAPP( V1, Z ), Y ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL( 
% 0.82/1.36    hAPP( hAPP( V1, U ), T ) ), alpha44( X, W, V0, V1, skol26( X, T, U, W, V0
% 0.82/1.36    , V1 ), skol68( X, T, U, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, Z ), Y ) )
% 0.82/1.36     }.
% 0.82/1.36  { ! alpha44( X, Y, Z, T, U, W ), hBOOL( hAPP( hAPP( T, U ), W ) ) }.
% 0.82/1.36  { ! alpha44( X, Y, Z, T, U, W ), c_member( tc_prod( tc_prod( Z, Y ), 
% 0.82/1.36    tc_prod( Z, Y ) ), c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y
% 0.82/1.36     ), c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, 
% 0.82/1.36    skol27( X, Y, Z, T, U, W ), skol69( X, Y, Z, T, U, W ) ) ), X ) }.
% 0.82/1.36  { ! alpha44( X, Y, Z, T, U, W ), ! hBOOL( hAPP( hAPP( T, skol27( X, Y, Z, T
% 0.82/1.36    , U, W ) ), skol69( X, Y, Z, T, U, W ) ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( Z, Y ), tc_prod( Z, Y ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( Z, Y ), tc_prod( Z, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Y, U, W ), c_Product__Type_OPair( Z, Y, V0, V1
% 0.82/1.36     ) ), X ), ! hBOOL( hAPP( hAPP( T, U ), W ) ), hBOOL( hAPP( hAPP( T, V0 )
% 0.82/1.36    , V1 ) ), alpha44( X, Y, Z, T, U, W ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL( 
% 0.82/1.36    hAPP( hAPP( V1, Z ), Y ) ), alpha45( X, Y, Z, W, V0, skol28( X, Y, Z, W, 
% 0.82/1.36    V0, V1 ), skol70( X, Y, Z, W, V0, V1 ), skol80( X, Y, Z, W, V0, V1 ), 
% 0.82/1.36    skol82( X, Y, Z, W, V0, V1 ) ), hBOOL( hAPP( hAPP( V1, U ), T ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL( 
% 0.82/1.36    hAPP( hAPP( V1, Z ), Y ) ), hBOOL( hAPP( hAPP( V1, skol80( X, Y, Z, W, V0
% 0.82/1.36    , V1 ) ), skol82( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U ), T
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), ! hBOOL( 
% 0.82/1.36    hAPP( hAPP( V1, Z ), Y ) ), ! hBOOL( hAPP( hAPP( V1, skol28( X, Y, Z, W, 
% 0.82/1.36    V0, V1 ) ), skol70( X, Y, Z, W, V0, V1 ) ) ), hBOOL( hAPP( hAPP( V1, U )
% 0.82/1.36    , T ) ) }.
% 0.82/1.36  { ! alpha45( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.82/1.36    , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.82/1.36    ( U, T ), c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U
% 0.82/1.36    , T, V1, V2 ) ), X ) }.
% 0.82/1.36  { ! alpha45( X, Y, Z, T, U, W, V0, V1, V2 ), c_member( tc_prod( tc_prod( U
% 0.82/1.36    , T ), tc_prod( U, T ) ), c_Product__Type_OPair( tc_prod( U, T ), tc_prod
% 0.82/1.36    ( U, T ), c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U
% 0.82/1.36    , T, Z, Y ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ), 
% 0.82/1.36    c_Product__Type_OPair( U, T, W, V0 ), c_Product__Type_OPair( U, T, V1, V2
% 0.82/1.36     ) ), X ), ! c_member( tc_prod( tc_prod( U, T ), tc_prod( U, T ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( U, T ), tc_prod( U, T ), 
% 0.82/1.36    c_Product__Type_OPair( U, T, V1, V2 ), c_Product__Type_OPair( U, T, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( U, T ), X ) ), alpha45( X
% 0.82/1.36    , Y, Z, T, U, W, V0, V1, V2 ) }.
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, 
% 0.82/1.36    skol29( X, Y, Z, T, U, W, V0 ), skol71( X, Y, Z, T, U, W, V0 ) ) ), X ) }
% 0.82/1.36    .
% 0.82/1.36  { ! c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ), c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ) ), c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, U, T ) = c_Product__Type_OPair( V0, W, Z, Y
% 0.82/1.36     ), c_member( tc_prod( tc_prod( V0, W ), tc_prod( V0, W ) ), 
% 0.82/1.36    c_Product__Type_OPair( tc_prod( V0, W ), tc_prod( V0, W ), 
% 0.82/1.36    c_Product__Type_OPair( V0, W, skol29( X, Y, Z, T, U, W, V0 ), skol71( X, 
% 0.82/1.36    Y, Z, T, U, W, V0 ) ), c_Product__Type_OPair( V0, W, Z, Y ) ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( tc_prod( V0, W ), X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.82/1.36     ), c_Product__Type_OPair( T, T, Z, skol30( X, U, Z, T ) ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.82/1.36     ), c_Product__Type_OPair( T, T, skol30( X, Y, Z, T ), Y ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.82/1.36     ), c_Product__Type_OPair( T, T, Z, skol31( X, U, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.82/1.36     ), c_Product__Type_OPair( T, T, skol31( X, Y, Z, T ), Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), hBOOL
% 0.82/1.36    ( hAPP( U, skol72( W, V0, V1, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), 
% 0.82/1.36    alpha46( X, Y, T, skol32( X, Y, T, U ), skol72( X, Y, T, U ) ), hBOOL( 
% 0.82/1.36    hAPP( U, Z ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Y ) ), ! 
% 0.82/1.36    hBOOL( hAPP( U, skol32( X, Y, T, U ) ) ), hBOOL( hAPP( U, Z ) ) }.
% 0.82/1.36  { ! alpha46( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, T, U ), X ) }.
% 0.82/1.36  { ! alpha46( X, Y, Z, T, U ), c_member( tc_prod( Z, Z ), 
% 0.82/1.36    c_Product__Type_OPair( Z, Z, U, Y ), c_Transitive__Closure_Ortrancl( Z, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, T, U ), X ), ! 
% 0.82/1.36    c_member( tc_prod( Z, Z ), c_Product__Type_OPair( Z, Z, U, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Z, X ) ), alpha46( X, Y, Z, T, U ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, skol33( X, Z, 
% 0.82/1.36    T, W ) ), c_Transitive__Closure_Ortrancl( T, X ) ), hBOOL( hAPP( U, Y ) )
% 0.82/1.36     }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! hBOOL( hAPP( U, Z ) ), 
% 0.82/1.36    alpha47( X, T, U, skol33( X, Z, T, U ) ), hBOOL( hAPP( U, Y ) ) }.
% 0.82/1.36  { ! alpha47( X, Y, Z, T ), ! hBOOL( hAPP( Z, skol34( U, W, Z, V0 ) ) ) }.
% 0.82/1.36  { ! alpha47( X, Y, Z, T ), hBOOL( hAPP( Z, T ) ) }.
% 0.82/1.36  { ! alpha47( X, Y, Z, T ), c_member( tc_prod( Y, Y ), c_Product__Type_OPair
% 0.82/1.36    ( Y, Y, T, skol34( X, Y, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, U ), X ), ! 
% 0.82/1.36    hBOOL( hAPP( Z, T ) ), hBOOL( hAPP( Z, U ) ), alpha47( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.82/1.36     ), T = Y }.
% 0.82/1.36  { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.82/1.36     ), Z = X }.
% 0.82/1.36  { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.82/1.36     ), T = Y }.
% 0.82/1.36  { ! c_Product__Type_OPair( W, U, T, Z ) = c_Product__Type_OPair( W, U, Y, X
% 0.82/1.36     ), Z = X }.
% 0.82/1.36  { ! T = Y, ! Z = X, c_Product__Type_OPair( W, U, T, Z ) = 
% 0.82/1.36    c_Product__Type_OPair( W, U, Y, X ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Z, skol35( Z ) ) ), hBOOL( hAPP( Z, c_Product__Type_OPair
% 0.82/1.36    ( Y, X, T, U ) ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Z, c_Product__Type_OPair( Y, X, skol73( X, Y, Z ), skol81
% 0.82/1.36    ( X, Y, Z ) ) ) ), hBOOL( hAPP( Z, T ) ) }.
% 0.82/1.36  { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, T ), X ), alpha10( X, Y, Z, T ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol36( X, Y ), 
% 0.82/1.36    skol74( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.82/1.36  { ! alpha10( X, Y, skol36( X, Y ), skol74( X, Y ) ), c_Relation_Oantisym( Y
% 0.82/1.36    , X ) }.
% 0.82/1.36  { ! alpha10( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, T, Z ), X ), Z = T }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), 
% 0.82/1.36    alpha10( X, Y, Z, T ) }.
% 0.82/1.36  { ! Z = T, alpha10( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_Relation_Oantisym( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, T ), X ), T = Z }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( Z, Z ), Y, X ), c_member( tc_prod( Z, Z ), Y, 
% 0.82/1.36    c_Transitive__Closure_Otrancl( Z, X ) ) }.
% 0.82/1.36  { c_Transitive__Closure_Ortrancl( Y, c_Transitive__Closure_Otrancl( Y, X )
% 0.82/1.36     ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.36  { c_Transitive__Closure_Otrancl( Y, c_Transitive__Closure_Ortrancl( Y, X )
% 0.82/1.36     ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.36  { c_Transitive__Closure_Otrancl( Y, c_Relation_Oconverse( Y, Y, X ) ) = 
% 0.82/1.36    c_Relation_Oconverse( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.82/1.36  { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) = 
% 0.82/1.36    c_Relation_ODomain( Y, Y, X ) }.
% 0.82/1.36  { c_Relation_ORange( Y, Y, c_Transitive__Closure_Otrancl( Y, X ) ) = 
% 0.82/1.36    c_Relation_ORange( Y, Y, X ) }.
% 0.82/1.36  { ! c_Relation_Oantisym( Y, c_Relation_Oconverse( Y, Y, X ) ), 
% 0.82/1.36    c_Relation_Oantisym( Y, X ) }.
% 0.82/1.36  { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y, 
% 0.82/1.36    c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), ! 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), ! 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), X ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { c_Relation_Oantisym( X, c_Relation_OId( X ) ) }.
% 0.82/1.36  { c_Relation_Oantisym( Y, c_Relation_OId__on( Y, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ), c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, U ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, U ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, ! Z = Y }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, c_member( tc_prod( T, T
% 0.82/1.36     ), c_Product__Type_OPair( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T
% 0.82/1.36    , X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), X ), ! 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Y, U ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, U ), c_Transitive__Closure_Otrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ), Z = Y, alpha11( X, Y, Z, T ) }
% 0.82/1.36    .
% 0.82/1.36  { ! Z = Y, c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! alpha11( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.82/1.36    ( T, T, Z, Y ), c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! alpha11( X, Y, Z, T ), ! Z = Y }.
% 0.82/1.36  { ! alpha11( X, Y, Z, T ), c_member( tc_prod( T, T ), c_Product__Type_OPair
% 0.82/1.36    ( T, T, Z, Y ), c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { Z = Y, ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), alpha11( X, Y, Z, T ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, c_Relation_Oconverse( T, T, X ) ) ), 
% 0.82/1.36    c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Relation_Oconverse( T, T, c_Transitive__Closure_Otrancl( T, X ) ) ) }.
% 0.82/1.36  { c_Product__Type_Oprod_Oprod__rec( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.82/1.36    , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, skol37( X, U, Z, T ) ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, skol37( X, Y, Z, T ), Y ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, skol38( X, U, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, skol38( X, Y, Z, T ), Y ), 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( T, X ) ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.36    c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol39( X, Y ), 
% 0.82/1.36    skol39( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), 
% 0.82/1.36    c_Wellfounded_Oacyclic( Y, X ) }.
% 0.82/1.36  { c_Product__Type_Ointernal__split( W, U, T, Z, c_Product__Type_OPair( W, U
% 0.82/1.36    , Y, X ) ) = hAPP( hAPP( Z, Y ), X ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol40( X, Y ), 
% 0.82/1.36    skol75( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol75( X, Y ), 
% 0.82/1.36    skol40( X, Y ) ), X ), c_Relation_Oantisym( Y, X ) }.
% 0.82/1.36  { ! skol40( X, Y ) = skol75( X, Y ), c_Relation_Oantisym( Y, X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, skol41( X, U, Z, T ) ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, skol41( X, Y, Z, T ), Y ), X ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( Y, c_Relation_Oconverse( Y, Y, X ) ), 
% 0.82/1.36    c_Wellfounded_Oacyclic( Y, X ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( Y, X ), c_Wellfounded_Oacyclic( Y, 
% 0.82/1.36    c_Relation_Oconverse( Y, Y, X ) ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( Y, X ), c_Relation_Oantisym( Y, 
% 0.82/1.36    c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol42( X, Y ), 
% 0.82/1.36    skol42( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), 
% 0.82/1.36    c_Wellfounded_Oacyclic( Y, X ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Oacyclic( T, X
% 0.82/1.36     ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_Wellfounded_Oacyclic( T, X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.36     ) ), c_Wellfounded_Oacyclic( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.82/1.36  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol43( X, Y ), 
% 0.82/1.36    skol43( X, Y ) ), c_Transitive__Closure_Otrancl( Y, X ) ), ! c_member( 
% 0.82/1.36    tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ), ! T = Z }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, skol44( X, U, Z, T ) ), X ) }.
% 0.82/1.36  { ! c_member( tc_prod( T, T ), c_Product__Type_OPair( T, T, Z, Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, Z, Y ), X ), c_member( tc_prod( T, T ), 
% 0.82/1.36    c_Product__Type_OPair( T, T, skol44( X, Y, Z, T ), Y ), 
% 0.82/1.36    c_Transitive__Closure_Otrancl( T, X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( U, c_Product__Type_OPair( T, Z, Y, X ) ) ), hBOOL( 
% 0.82/1.36    c_Product__Type_Ocurry( T, Z, tc_HOL_Obool, U, Y, X ) ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.36    tc_HOL_Obool ), c_Transitive__Closure_Otrancl( Y, X ), c_Relation_OId( Y
% 0.82/1.36     ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Z, Y ) ), hBOOL( hAPP( 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.82/1.36     ), Y ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( X, Y ) ), hBOOL( hAPP( 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Z
% 0.82/1.36     ), Y ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( Y, X )
% 0.82/1.36     ) }.
% 0.82/1.36  { ! c_member( T, Z, Y ), c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.82/1.36  { ! Z = X, c_member( T, Z, c_Set_Oinsert( T, X, Y ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.82/1.36     }.
% 0.82/1.36  { ! c_member( T, Z, Y ), c_member( T, Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( T, Z, X ), c_member( T, Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.36     ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.82/1.36     ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ), Z = X, hBOOL( hAPP( Y, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! Z = X, hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( Y, X ) ), hBOOL( hAPP( c_Set_Oinsert( T, Z, Y ), X ) ) }.
% 0.82/1.36  { ! alpha33( X, Y, Z, T ), alpha12( X, Z, T ) }.
% 0.82/1.36  { ! alpha33( X, Y, Z, T ), alpha23( X, Y, T ) }.
% 0.82/1.36  { ! alpha12( X, Z, T ), ! alpha23( X, Y, T ), alpha33( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha33( X, Y, Z, T ), ! c_member( T, U, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.36     ) ), hBOOL( hAPP( X, U ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( X, skol45( X, U, W, V0 ) ) ), alpha33( X, Y, Z, T ) }.
% 0.82/1.36  { c_member( T, skol45( X, Y, Z, T ), 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.36     ) ), alpha33( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha23( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( X, skol46( X, T, U ) ) ), alpha23( X, Y, Z ) }.
% 0.82/1.36  { c_member( Z, skol46( X, Y, Z ), Y ), alpha23( X, Y, Z ) }.
% 0.82/1.36  { ! alpha12( X, Y, Z ), ! c_member( Z, T, Y ), hBOOL( hAPP( X, T ) ) }.
% 0.82/1.36  { ! hBOOL( hAPP( X, skol47( X, T, U ) ) ), alpha12( X, Y, Z ) }.
% 0.82/1.36  { c_member( Z, skol47( X, Y, Z ), Y ), alpha12( X, Y, Z ) }.
% 0.82/1.36  { ! alpha34( X, Y, Z, T ), alpha13( X, Z, T ), alpha24( X, Y, T ) }.
% 0.82/1.36  { ! alpha13( X, Z, T ), alpha34( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha24( X, Y, T ), alpha34( X, Y, Z, T ) }.
% 0.82/1.36  { ! alpha34( X, Y, Z, T ), hBOOL( hAPP( X, skol48( X, U, W, V0 ) ) ) }.
% 0.82/1.36  { ! alpha34( X, Y, Z, T ), c_member( T, skol48( X, Y, Z, T ), 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( T, U, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Z, Y ) ), ! hBOOL( hAPP( X, U ) ), alpha34( X, Y, Z, T )
% 0.82/1.36     }.
% 0.82/1.36  { ! alpha24( X, Y, Z ), hBOOL( hAPP( X, skol49( X, T, U ) ) ) }.
% 0.82/1.36  { ! alpha24( X, Y, Z ), c_member( Z, skol49( X, Y, Z ), Y ) }.
% 0.82/1.36  { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha24( X, Y, Z ) }.
% 0.82/1.36  { ! alpha13( X, Y, Z ), hBOOL( hAPP( X, skol50( X, T, U ) ) ) }.
% 0.82/1.36  { ! alpha13( X, Y, Z ), c_member( Z, skol50( X, Y, Z ), Y ) }.
% 0.82/1.36  { ! c_member( Z, T, Y ), ! hBOOL( hAPP( X, T ) ), alpha13( X, Y, Z ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.36     ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.36    c_Set_Oinsert( T, Z, Y ), X ) = c_Set_Oinsert( T, Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.82/1.36     ), Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.82/1.36     ), Z, X ) ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.36    c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, X ) ) = c_Set_Oinsert( T, Y, 
% 0.82/1.36    c_Set_Oinsert( T, Z, X ) ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool
% 0.82/1.36     ), Y, X ) }.
% 0.82/1.36  { c_Set_Oinsert( Z, Y, c_Set_Oinsert( Z, Y, X ) ) = c_Set_Oinsert( Z, Y, X
% 0.82/1.36     ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool )
% 0.82/1.36    , X, Y ) }.
% 0.82/1.36  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.82/1.36     ) = X }.
% 0.82/1.36  { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ), 
% 0.82/1.36    c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.82/1.36    ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.36    tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.82/1.36  { c_Relation_ORange( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.82/1.36    ( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.36    c_Relation_ORange( T, Z, Y ), c_Relation_ORange( T, Z, X ) ) }.
% 0.82/1.36  { c_Relation_ODomain( T, Z, c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.36    tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.36    c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ) }.
% 0.82/1.36  { c_Relation_ODomain( U, T, c_Set_Oinsert( tc_prod( U, T ), 
% 0.82/1.36    c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( U, Z, 
% 0.82/1.36    c_Relation_ODomain( U, T, X ) ) }.
% 0.82/1.36  { c_Relation_ORange( U, T, c_Set_Oinsert( tc_prod( U, T ), 
% 0.82/1.36    c_Product__Type_OPair( U, T, Z, Y ), X ) ) = c_Set_Oinsert( T, Y, 
% 0.82/1.36    c_Relation_ORange( U, T, X ) ) }.
% 0.82/1.36  { ! c_member( Z, Y, X ), c_member( Z, Y, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( Z, Y, X ), c_member( Z, Y, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( T, Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.36    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ), c_member( T, Z, X ) }.
% 0.82/1.36  { ! c_member( T, Z, Y ), c_member( T, Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( T, Z, X ), c_member( T, Z, 
% 0.82/1.36    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.36     ) ) }.
% 0.82/1.36  { ! c_member( Z, Y, X ), c_Set_Oinsert( Z, Y, X ) = X }.
% 0.82/1.36  { ! c_member( Z, Y, X ), c_member( Z, Y, c_Set_Oinsert( Z, T, X ) ) }.
% 0.82/1.37  { c_member( Z, Y, X ), c_member( Z, Y, T ), ! c_Set_Oinsert( Z, Y, X ) = 
% 0.82/1.37    c_Set_Oinsert( Z, Y, T ), X = T }.
% 0.82/1.37  { c_member( Z, Y, X ), c_member( Z, Y, T ), ! X = T, c_Set_Oinsert( Z, Y, X
% 0.82/1.37     ) = c_Set_Oinsert( Z, Y, T ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Set_Oinsert( T, Y, X ) ), Z = Y, c_member( T, Z, X )
% 0.82/1.37     }.
% 0.82/1.37  { ! Z = Y, c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.82/1.37  { ! c_member( T, Z, X ), c_member( T, Z, c_Set_Oinsert( T, Y, X ) ) }.
% 0.82/1.37  { c_member( Z, Y, c_Set_Oinsert( Z, Y, X ) ) }.
% 0.82/1.37  { c_Transitive__Closure_Ortrancl( Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Z, X ) ) ) = 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Z, T ), 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.82/1.37    , Z, X ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, Y ) )
% 0.82/1.37    , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, X ) )
% 0.82/1.37    , c_member( tc_prod( T, T ), Z, c_Transitive__Closure_Ortrancl( T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( T, T ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ) }.
% 0.82/1.37  { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL( 
% 0.82/1.37    hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.82/1.37  { ! hBOOL( c_Product__Type_Ocurry( U, T, tc_HOL_Obool, Z, Y, X ) ), hBOOL( 
% 0.82/1.37    hAPP( Z, c_Product__Type_OPair( U, T, Y, X ) ) ) }.
% 0.82/1.37  { c_Transitive__Closure_Ortrancl( Y, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) = 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Y, X ), c_Relation_OId( Y
% 0.82/1.37     ) ) = c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.37  { ! c_Relation_Oantisym( Y, c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ), 
% 0.82/1.37    c_Relation_Oantisym( Y, X ) }.
% 0.82/1.37  { ! c_Relation_Oantisym( Y, X ), c_Relation_Oantisym( Y, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.82/1.37  { c_Product__Type_Ocurry( W, U, T, Z, Y, X ) = hAPP( Z, 
% 0.82/1.37    c_Product__Type_OPair( W, U, Y, X ) ) }.
% 0.82/1.37  { c_Transitive__Closure_Otrancl( Y, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) = 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Y, X ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), hAPP( 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( U, X ), T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, skol76( X, U, W, V0 ), skol51( X, W, V0, U )
% 0.82/1.37     ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), ! skol76( X, U, W, V0 ) = skol51( X, W, V0, U
% 0.82/1.37     ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, skol51( X, Y, Z, U ), Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, skol52( X, W, V0, U ), skol77( X, U, W, V0 )
% 0.82/1.37     ), X ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), ! skol52( X, W, V0, U ) = skol77( X, U, W, V0
% 0.82/1.37     ), c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ) }.
% 0.82/1.37  { ! c_member( tc_prod( U, U ), c_Product__Type_OPair( U, U, T, Z ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( tc_prod( U, U ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, T, skol52( X, Y, T, U ) ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( U, Y ) ), c_member( tc_prod( U, U ), 
% 0.82/1.37    c_Product__Type_OPair( U, U, T, Z ), c_Transitive__Closure_Ortrancl( U, Y
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Z, Y ), X ) ), c_Wellfounded_Owf( T, X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Z, Y ), X ) ), ! c_member( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( T, X ), c_member( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Y, Z ), c_Transitive__Closure_Ortrancl( T, X
% 0.82/1.37     ) ), c_Wellfounded_Owf( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Z, Y ), X ) ) }.
% 0.82/1.37  { c_Relation_OField( Y, X ) = c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( Y, tc_HOL_Obool ), c_Relation_ODomain( Y, Y, X ), 
% 0.82/1.37    c_Relation_ORange( Y, Y, X ) ) }.
% 0.82/1.37  { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( 
% 0.82/1.37    tc_prod( Y, Y ), tc_HOL_Obool ), X, c_Relation_OId( Y ) ) ) }.
% 0.82/1.37  { hBOOL( hAPP( c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.82/1.37     ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( T, c_Relation_Oinv__image
% 0.82/1.37    ( Y, T, X, Z ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( T, Z ), 
% 0.82/1.37    c_Wellfounded_Owf( tc_prod( Y, T ), c_Wellfounded_Olex__prod( Y, T, X, Z
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Otop__class_Otop
% 0.82/1.37    ( X ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ) ) = c_Orderings_Otop__class_Otop( X ) }
% 0.82/1.37    .
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y, 
% 0.82/1.37    c_Transitive__Closure_Otrancl( Y, X ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Oacyclic( Y, X ) }.
% 0.82/1.37  { c_Relation_OField( Y, c_Relation_Oconverse( Y, Y, X ) ) = 
% 0.82/1.37    c_Relation_OField( Y, X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, T, Z ), X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, Z, T ), X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, Z, Z ), X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! c_member( Y, skol53( X, Y ), c_Wellfounded_Oacc( Y, X ) ), 
% 0.82/1.37    c_Wellfounded_Owf( Y, X ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_member( Y, Z, c_Wellfounded_Oacc( Y, X ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, X ) ), 
% 0.82/1.37    c_Wellfounded_Owf( Y, c_Relation_Oconverse( Y, Y, 
% 0.82/1.37    c_Transitive__Closure_Otrancl( Y, X ) ) ) }.
% 0.82/1.37  { c_Relation_ODomain( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_ORange( Y, Y, c_Transitive__Closure_Ortrancl( Y, X ) ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_Orefl__on( Y, c_Orderings_Otop__class_Otop( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ), c_Transitive__Closure_Ortrancl( Y, X ) ) }.
% 0.82/1.37  { c_Relation_ODomain( X, X, c_Relation_OId( X ) ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_ORange( X, X, c_Relation_OId( X ) ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_Orefl__on( X, c_Orderings_Otop__class_Otop( tc_fun( X, 
% 0.82/1.37    tc_HOL_Obool ) ), c_Relation_OId( X ) ) }.
% 0.82/1.37  { c_Relation_OField( Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( 
% 0.82/1.37    tc_prod( Z, Z ), tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.82/1.37    ( X, c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.82/1.37    ( X, T, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.82/1.37    ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.82/1.37    ( X, Z, Y ) = c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Y ) = Y }.
% 0.82/1.37  { c_Wellfounded_Owf( Y, c_Wellfounded_Omeasure( Y, X ) ) }.
% 0.82/1.37  { ! class_Orderings_Otop( X ), hAPP( c_Orderings_Otop__class_Otop( tc_fun( 
% 0.82/1.37    Z, X ) ), Y ) = c_Orderings_Otop__class_Otop( X ) }.
% 0.82/1.37  { c_member( Y, X, c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) )
% 0.82/1.37     ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( X, Y ), hAPP( c_Recdef_Owfrec( X, Z, Y, T ), U ) = 
% 0.82/1.37    hAPP( hAPP( T, c_Recdef_Ocut( X, Z, c_Recdef_Owfrec( X, Z, Y, T ), Y, U )
% 0.82/1.37     ), U ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), hAPP( c_Recdef_Owfrec( Y, U, X, T ), Z ) = 
% 0.82/1.37    hAPP( hAPP( T, c_Recdef_Ocut( Y, U, c_Recdef_Owfrec( Y, U, X, T ), X, Z )
% 0.82/1.37     ), Z ) }.
% 0.82/1.37  { ! U = c_Recdef_Owfrec( T, Z, Y, X ), ! c_Wellfounded_Owf( T, Y ), hAPP( U
% 0.82/1.37    , W ) = hAPP( hAPP( X, c_Recdef_Ocut( T, Z, U, Y, W ) ), W ) }.
% 0.82/1.37  { hBOOL( hAPP( Z, skol54( T, U, Z ) ) ), c_Wellfounded_Owf( tc_prod( W, Y )
% 0.82/1.37    , c_Recdef_Osame__fst( W, Y, Z, X ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, hAPP( X, skol54( X, Y, Z ) ) ), c_Wellfounded_Owf
% 0.82/1.37    ( tc_prod( T, Y ), c_Recdef_Osame__fst( T, Y, Z, X ) ) }.
% 0.82/1.37  { c_Relation_OField( T, c_Set_Oinsert( tc_prod( T, T ), 
% 0.82/1.37    c_Product__Type_OPair( T, T, Z, Y ), X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Set_Oinsert( T, Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( T, tc_HOL_Obool ) ) ) ), c_Relation_OField( T, X ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_member( Y, T, Z ), alpha14( X, Y, Z ) }
% 0.82/1.37    .
% 0.82/1.37  { c_member( Y, skol78( Y, Z ), skol55( Z, Y ) ), c_Wellfounded_Owf( Y, X )
% 0.82/1.37     }.
% 0.82/1.37  { ! alpha14( X, Y, skol55( X, Y ) ), c_Wellfounded_Owf( Y, X ) }.
% 0.82/1.37  { ! alpha14( X, Y, Z ), c_member( Y, skol56( T, Y, Z ), Z ) }.
% 0.82/1.37  { ! alpha14( X, Y, Z ), alpha25( X, Y, Z, skol56( X, Y, Z ) ) }.
% 0.82/1.37  { ! c_member( Y, T, Z ), ! alpha25( X, Y, Z, T ), alpha14( X, Y, Z ) }.
% 0.82/1.37  { ! alpha25( X, Y, Z, T ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, U, T ), X ), ! c_member( Y, U, Z ) }.
% 0.82/1.37  { c_member( Y, skol57( U, Y, Z, W ), Z ), alpha25( X, Y, Z, T ) }.
% 0.82/1.37  { c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, skol57( X, Y, Z, 
% 0.82/1.37    T ), T ), X ), alpha25( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_OwfP( Y, c_FunDef_Oin__rel( Y
% 0.82/1.37    , Y, X ) ) }.
% 0.82/1.37  { c_Wellfounded_Owf( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.82/1.37     ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! class_Orderings_Obot( X ), hAPP( c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    Z, X ) ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.82/1.37  { ! Y = c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ), ! 
% 0.82/1.37    c_member( X, Z, Y ) }.
% 0.82/1.37  { ! c_member( Y, X, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool )
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( Y, Z, X ), ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), c_member( 
% 0.82/1.37    Y, skol58( X, Y ), X ) }.
% 0.82/1.37  { c_member( Y, skol59( X, Y ), X ), X = c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), ! 
% 0.82/1.37    c_member( Y, Z, X ) }.
% 0.82/1.37  { ! c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ) ) ) = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) ), Y = X }.
% 0.82/1.37  { ! c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, c_Orderings_Obot__class_Obot
% 0.82/1.37    ( tc_fun( U, tc_HOL_Obool ) ) ) ) = c_Set_Oinsert( U, Y, c_Set_Oinsert( U
% 0.82/1.37    , X, c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ), 
% 0.82/1.37    alpha15( X, Y, Z, T ), alpha26( X, Y, Z, T ) }.
% 0.82/1.37  { ! alpha15( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) = 
% 0.82/1.37    c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! alpha26( X, Y, Z, T ), c_Set_Oinsert( U, T, c_Set_Oinsert( U, Z, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( U, tc_HOL_Obool ) ) ) ) = 
% 0.82/1.37    c_Set_Oinsert( U, Y, c_Set_Oinsert( U, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( U, tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! alpha26( X, Y, Z, T ), T = X }.
% 0.82/1.37  { ! alpha26( X, Y, Z, T ), Z = Y }.
% 0.82/1.37  { ! T = X, ! Z = Y, alpha26( X, Y, Z, T ) }.
% 0.82/1.37  { ! alpha15( X, Y, Z, T ), T = Y }.
% 0.82/1.37  { ! alpha15( X, Y, Z, T ), Z = X }.
% 0.82/1.37  { ! T = Y, ! Z = X, alpha15( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Set_Oinsert( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) = 
% 0.82/1.37    c_Set_Oinsert( Z, Y, X ) }.
% 0.82/1.37  { ! c_Orderings_Otop__class_Otop( tc_fun( X, tc_HOL_Obool ) ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( X, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), Y = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), X = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! Y = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! X = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.82/1.37  { c_Transitive__Closure_Otrancl( X, c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( tc_prod( X, X ), tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_OId__on( X, c_Orderings_Obot__class_Obot( tc_fun( X, 
% 0.82/1.37    tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.82/1.37     ), tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Z
% 0.82/1.37    , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.82/1.37    , Y ), tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.82/1.37     ) ), c_Relation_ODomain( Z, Y, X ) = c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_ODomain( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( 
% 0.82/1.37    Y, X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_Orefl__on( X, c_Orderings_Obot__class_Obot( tc_fun( X, 
% 0.82/1.37    tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), 
% 0.82/1.37    tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun( Y
% 0.82/1.37    , tc_HOL_Obool ) ), X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z
% 0.82/1.37    , Y ), tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! X = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Z, Y ), tc_HOL_Obool
% 0.82/1.37     ) ), c_Relation_ORange( Z, Y, X ) = c_Orderings_Obot__class_Obot( tc_fun
% 0.82/1.37    ( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_ORange( Y, X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( Y
% 0.82/1.37    , X ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_OField( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X
% 0.82/1.37     ), tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( X, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Relation_Oantisym( X, c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X
% 0.82/1.37    , X ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { c_Relation_Ototal__on( Y, c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ), X ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, c_Orderings_Obot__class_Obot
% 0.82/1.37    ( X ), Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ) ) = Y }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ), Z = c_Orderings_Obot__class_Obot( X )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ), Y = c_Orderings_Obot__class_Obot( X )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), ! Z = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ), ! Y = c_Orderings_Obot__class_Obot( X
% 0.82/1.37     ), c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.82/1.37  { ! Y = X, c_member( Z, Y, c_Set_Oinsert( Z, X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) ) ), Y = X }.
% 0.82/1.37  { c_Set_Oinsert( Z, Y, X ) = c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ), X ) }.
% 0.82/1.37  { c_Transitive__Closure_Ortrancl( X, c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    tc_prod( X, X ), tc_HOL_Obool ) ) ) = c_Relation_OId( X ) }.
% 0.82/1.37  { c_Set_Othe__elem( Y, c_Set_Oinsert( Y, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Y, tc_HOL_Obool ) ) ) ) = X }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_Wellfounded_Owf( Y, Z ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_ODomain( Y, Y, X ), c_Relation_ORange( Y, Y, Z ) ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), 
% 0.82/1.37    c_Wellfounded_Owf( Y, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( 
% 0.82/1.37    tc_prod( Y, Y ), tc_HOL_Obool ), X, Z ) ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_Oconverse( Y, Y, X ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Y, X ) ) = c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ) ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, Z, Z ), c_Transitive__Closure_Otrancl( Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ), c_member
% 0.82/1.37    ( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ) }.
% 0.82/1.37  { ! c_member( tc_prod( Z, U ), c_Product__Type_OPair( Z, U, X, T ), Y ), 
% 0.82/1.37    c_member( U, T, c_Relation_OImage( Z, U, Y, c_Set_Oinsert( Z, X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) ) ) ) }.
% 0.82/1.37  { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Z, X ) ) }.
% 0.82/1.37  { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.82/1.37  { ! hBOOL( hAPP( Y, X ) ), ! hBOOL( hAPP( Z, X ) ), hBOOL( hAPP( 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, Z
% 0.82/1.37     ), X ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), ! c_member( Z, Y, T ), c_member( Z, Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.82/1.37  { c_Relation_OImage( Z, Y, X, c_Orderings_Obot__class_Obot( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ) ) ) = c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), ! 
% 0.82/1.37    c_member( Z, T, Y ), alpha16( X, Z, T ) }.
% 0.82/1.37  { c_member( Z, skol60( T, Y, Z ), Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! alpha16( X, Z, skol60( X, Y, Z ) ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! alpha16( X, Y, Z ), ! c_member( Y, T, X ), ! Z = T }.
% 0.82/1.37  { Z = skol61( T, U, Z ), alpha16( X, Y, Z ) }.
% 0.82/1.37  { c_member( Y, skol61( X, Y, Z ), X ), alpha16( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Obot__class_Obot
% 0.82/1.37    ( X ), Y ) = c_Orderings_Obot__class_Obot( X ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__bot( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ) ) = c_Orderings_Obot__class_Obot( X ) }
% 0.82/1.37    .
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.82/1.37    ( X, Z, c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = Z }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__sup__class_Osup
% 0.82/1.37    ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = Z }.
% 0.82/1.37  { ! class_Lattices_Odistrib__lattice( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Odistrib__lattice( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Odistrib__lattice( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Odistrib__lattice( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), hAPP( 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( U, X ), T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, hAPP( T, Y ), hAPP( Z, Y ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.82/1.37    ( X, c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.82/1.37    ( X, T, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.82/1.37    ( X, Z, c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Lattices_Osemilattice__inf__class_Oinf
% 0.82/1.37    ( X, Z, Y ) = c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Y ) = Y }.
% 0.82/1.37  { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ), c_member( T, Z, X ) }.
% 0.82/1.37  { ! c_member( T, Z, Y ), ! c_member( T, Z, X ), c_member( T, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, T ) ), c_member( Z, Y, X ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), T, X ) ), c_member( Z, Y, X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Set_Oinsert( T, Z, Y ), c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, 
% 0.82/1.37    Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Z, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    Z, Y ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Z, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.82/1.37    ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, X ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.82/1.37    ( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    Y, X ) ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), X, Z ) ) = c_Lattices_Osemilattice__inf__class_Oinf( 
% 0.82/1.37    tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__inf__class_Oinf( 
% 0.82/1.37    tc_fun( T, tc_HOL_Obool ), c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( T, tc_HOL_Obool ), Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool )
% 0.82/1.37    , X, Z ) ) }.
% 0.82/1.37  { ! c_Relation_Osingle__valued( Z, Y, c_Relation_Oconverse( Y, Z, X ) ), 
% 0.82/1.37    c_Relation_OImage( Y, Z, X, c_Lattices_Osemilattice__inf__class_Oinf( 
% 0.82/1.37    tc_fun( Y, tc_HOL_Obool ), U, T ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( Y, Z, X, U ), c_Relation_OImage( Y, Z, X, T ) ) }.
% 0.82/1.37  { c_Relation_OImage( U, T, Z, c_Lattices_Osemilattice__sup__class_Osup( 
% 0.82/1.37    tc_fun( U, tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( U, T, Z, Y ), c_Relation_OImage( U, T, Z, X ) ) }.
% 0.82/1.37  { c_Relation_OImage( Z, Z, c_Relation_OId__on( Z, Y ), X ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) }.
% 0.82/1.37  { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, Y ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.82/1.37  { ! hBOOL( hAPP( c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, Z ), X ) ), hBOOL( hAPP( Y, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Z, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool )
% 0.82/1.37    , X, Y ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, X
% 0.82/1.37     ) = X }.
% 0.82/1.37  { ! c_Relation_Orefl__on( Z, Y, X ), ! c_Relation_Orefl__on( Z, U, T ), 
% 0.82/1.37    c_Relation_Orefl__on( Z, c_Lattices_Osemilattice__inf__class_Oinf( tc_fun
% 0.82/1.37    ( Z, tc_HOL_Obool ), Y, U ), c_Lattices_Osemilattice__inf__class_Oinf( 
% 0.82/1.37    tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X, T ) ) }.
% 0.82/1.37  { c_Relation_OImage( Y, Y, c_Relation_OId( Y ), X ) = X }.
% 0.82/1.37  { c_Relation_Oconverse( T, Z, c_Lattices_Osemilattice__inf__class_Oinf( 
% 0.82/1.37    tc_fun( tc_prod( T, Z ), tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Z, T ), 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_Oconverse( T, Z, Y ), c_Relation_Oconverse( T
% 0.82/1.37    , Z, X ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), X, Z ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), c_Wellfounded_Owf( Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( tc_prod( Y, Y ), 
% 0.82/1.37    tc_HOL_Obool ), Z, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, c_Orderings_Otop__class_Otop
% 0.82/1.37    ( X ), Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ) ) = Y }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ), Z = c_Orderings_Otop__class_Otop( X )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ), Y = c_Orderings_Otop__class_Otop( X )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice__top( X ), ! Z = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ), ! Y = c_Orderings_Otop__class_Otop( X
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ), X ) = X }.
% 0.82/1.37  { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( 
% 0.82/1.37    Z, tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = c_Set_Oinsert( Z, Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( 
% 0.82/1.37    Z, tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = c_Set_Oinsert( Z, Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.82/1.37    , tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), T, X
% 0.82/1.37     ) }.
% 0.82/1.37  { c_member( Z, Y, X ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z
% 0.82/1.37    , tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.82/1.37     ) }.
% 0.82/1.37  { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( 
% 0.82/1.37    T, tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.82/1.37    , tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), X, Y
% 0.82/1.37     ) }.
% 0.82/1.37  { ! c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( 
% 0.82/1.37    T, tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = c_Set_Oinsert( T, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_member( T, Z, Y ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T
% 0.82/1.37    , tc_HOL_Obool ), Y, c_Set_Oinsert( T, Z, X ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) }.
% 0.82/1.37  { c_Relation_OImage( U, T, c_Lattices_Osemilattice__sup__class_Osup( tc_fun
% 0.82/1.37    ( tc_prod( U, T ), tc_HOL_Obool ), Z, Y ), X ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( U, T, Z, X ), c_Relation_OImage( U, T, Y, X ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), ! c_member( tc_prod( Z, W ), c_Product__Type_OPair
% 0.82/1.37    ( Z, W, Y, U ), T ), c_member( W, U, c_Relation_OImage( Z, W, T, X ) ) }
% 0.82/1.37    .
% 0.82/1.37  { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol62
% 0.82/1.37    ( X, W, Z, V0, V1 ), X ) }.
% 0.82/1.37  { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.82/1.37    , U ), c_Product__Type_OPair( Z, U, skol62( X, Y, Z, T, U ), T ), Y ) }.
% 0.82/1.37  { ! c_member( Z, W, X ), ! c_member( tc_prod( Z, U ), c_Product__Type_OPair
% 0.82/1.37    ( Z, U, W, T ), Y ), c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ) }
% 0.82/1.37    .
% 0.82/1.37  { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), ! 
% 0.82/1.37    c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.82/1.37     ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y
% 0.82/1.37    , Y, X, c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.82/1.37  { ! c_Relation_Orefl__on( Y, c_Relation_OField( Y, X ), X ), ! 
% 0.82/1.37    c_Relation_Oantisym( Y, X ), ! c_member( Y, Z, c_Relation_OField( Y, X )
% 0.82/1.37     ), ! c_member( Y, T, c_Relation_OField( Y, X ) ), ! Z = T, 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) = 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.82/1.37     ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T, 
% 0.82/1.37    c_Relation_OField( Y, X ) ), ! c_Relation_OImage( Y, Y, X, c_Set_Oinsert
% 0.82/1.37    ( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) = 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), Z = T }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Y, c_Relation_OField( Y, X ), X
% 0.82/1.37     ), ! c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T, 
% 0.82/1.37    c_Relation_OField( Y, X ) ), ! Z = T, c_Relation_OImage( Y, Y, X, 
% 0.82/1.37    c_Set_Oinsert( Y, Z, c_Orderings_Obot__class_Obot( tc_fun( Y, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ) = c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( Z, skol63
% 0.82/1.37    ( X, W, Z, V0, V1 ), X ) }.
% 0.82/1.37  { ! c_member( U, T, c_Relation_OImage( Z, U, Y, X ) ), c_member( tc_prod( Z
% 0.82/1.37    , U ), c_Product__Type_OPair( Z, U, skol63( X, Y, Z, T, U ), T ), Y ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.82/1.37    , X ) ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Opartial__order__on( Z, Y, c_Relation_Oconverse( Z, Z, 
% 0.82/1.37    X ) ) }.
% 0.82/1.37  { c_Order__Relation_Opartial__order__on( X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), c_Relation_Ototal__on
% 0.82/1.37    ( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), ! 
% 0.82/1.37    c_Relation_Ototal__on( Z, Y, X ), c_Order__Relation_Olinear__order__on( Z
% 0.82/1.37    , Y, X ) }.
% 0.82/1.37  { c_Order__Relation_Owell__order__on( X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opartial__order__on( Z, Y, X ), c_Relation_Oantisym( 
% 0.82/1.37    Z, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opreorder__on( Z, Y, X ), ! c_Relation_Oantisym( Z, X
% 0.82/1.37     ), c_Order__Relation_Opartial__order__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X )
% 0.82/1.37     ), c_Order__Relation_Opreorder__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opreorder__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Opreorder__on( Z, Y, c_Relation_Oconverse( Z, Z, X ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z
% 0.82/1.37    , X ) ), c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Olinear__order__on( Z, Y, c_Relation_Oconverse( Z, Z, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_Order__Relation_Opreorder__on( X, c_Orderings_Obot__class_Obot( tc_fun
% 0.82/1.37    ( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, 
% 0.82/1.37    X ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { c_Order__Relation_Olinear__order__on( X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( X, tc_HOL_Obool ) ), c_Orderings_Obot__class_Obot( tc_fun( 
% 0.82/1.37    tc_prod( X, X ), tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), ! 
% 0.82/1.37    c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T, 
% 0.82/1.37    c_Relation_OField( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( Y, tc_HOL_Obool ), c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ), c_member
% 0.82/1.37    ( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, T, Z ), X ) }.
% 0.82/1.37  { ! c_Order__Relation_Opreorder__on( Y, c_Relation_OField( Y, X ), X ), ! 
% 0.82/1.37    c_member( Y, Z, c_Relation_OField( Y, X ) ), ! c_member( Y, T, 
% 0.82/1.37    c_Relation_OField( Y, X ) ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, T, Z ), X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, Z, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.82/1.37  { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( Y, W, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) ), 
% 0.82/1.37    c_member( tc_prod( Y, Y ), c_Product__Type_OPair( Y, Y, U, T ), X ) }.
% 0.82/1.37  { ! c_Order__Relation_Owell__order__on( Z, Y, X ), 
% 0.82/1.37    c_Order__Relation_Olinear__order__on( Z, Y, X ) }.
% 0.82/1.37  { ! c_Order__Relation_Owell__order__on( Z, Y, X ), c_Wellfounded_Owf( Z, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool ), X
% 0.82/1.37    , c_Relation_OId( Z ) ) ) }.
% 0.82/1.37  { ! c_Order__Relation_Olinear__order__on( Z, Y, X ), ! c_Wellfounded_Owf( Z
% 0.82/1.37    , c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool )
% 0.82/1.37    , X, c_Relation_OId( Z ) ) ), c_Order__Relation_Owell__order__on( Z, Y, X
% 0.82/1.37     ) }.
% 0.82/1.37  { ! class_Orderings_Opreorder( X ), c_Orderings_Oord__class_Oless__eq( X, Y
% 0.82/1.37    , Y ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, Y ), Y 
% 0.82/1.37    = X }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), c_member( Z, Y, T ), c_member( Z, Y, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, T ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), X, Z ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), X, Z ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { ! class_Orderings_Obot( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( X ), Y ) }.
% 0.82/1.37  { ! Y = c_Orderings_Obot__class_Obot( tc_fun( tc_prod( X, X ), tc_HOL_Obool
% 0.82/1.37     ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( X, X ), 
% 0.82/1.37    tc_HOL_Obool ), Y, Z ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), X ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) = X }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ), X = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! X = c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, X ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ), alpha17( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ), alpha27( X, Y, Z, T ) }.
% 0.82/1.37  { ! alpha17( X, Y, Z, T ), ! alpha27( X, Y, Z, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ) }.
% 0.82/1.37  { ! alpha27( X, Y, Z, T ), c_member( T, Y, Z ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ) }.
% 0.82/1.37  { ! c_member( T, Y, Z ), alpha27( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, X ), 
% 0.82/1.37    alpha27( X, Y, Z, T ) }.
% 0.82/1.37  { ! alpha17( X, Y, Z, T ), ! c_member( T, Y, Z ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ), X ) }.
% 0.82/1.37  { c_member( T, Y, Z ), alpha17( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ), X ), alpha17( X, Y, Z, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ), X ), ! c_member( T, Y, Z ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), W, U ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_OImage( T, Z, Y, W ), c_Relation_OImage( T, Z
% 0.82/1.37    , X, U ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), ! c_Relation_Oantisym( Z, X ), 
% 0.82/1.37    c_Relation_Oantisym( Z, Y ) }.
% 0.82/1.37  { ! c_Wellfounded_Oacyclic( Y, X ), ! c_Orderings_Oord__class_Oless__eq( 
% 0.82/1.37    tc_fun( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Oacyclic( 
% 0.82/1.37    Y, Z ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), ! c_Relation_Osingle__valued( T, Z, X ), 
% 0.82/1.37    c_Relation_Osingle__valued( T, Z, Y ) }.
% 0.82/1.37  { ! class_Orderings_Otop( X ), c_Orderings_Oord__class_Oless__eq( X, Y, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( X ) ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.82/1.37    hAPP( Y, U ) ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, hAPP
% 0.82/1.37    ( Z, skol64( X, Y, Z ) ), hAPP( Y, skol64( X, Y, Z ) ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, X ), Z, Y ) }.
% 0.82/1.37  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.82/1.37    ( X, Z, Y ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! Z = Y, c_Orderings_Oord__class_Oless__eq
% 0.82/1.37    ( X, Y, Z ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.82/1.37  { ! class_Orderings_Opreorder( X ), ! Z = Y, 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.82/1.37    hAPP( Y, U ) ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! Y = Z, c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! Z = Y, ! c_Orderings_Oord__class_Oless__eq
% 0.82/1.37    ( X, Y, T ), c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! Z = Y, ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z, Y
% 0.82/1.37     ), ! Y = T, c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! Z = T, c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Z = Y }.
% 0.82/1.37  { ! class_Orderings_Opreorder( X ), ! c_Orderings_Oord__class_Oless__eq( X
% 0.82/1.37    , Z, Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, T ) }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, Y, Z ), Y = Z }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), ! c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), ! c_Orderings_Oord__class_Oless__eq( X, T, Z ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( T, X ), Z, Y ), c_Orderings_Oord__class_Oless__eq( X, hAPP( Z, U ), 
% 0.82/1.37    hAPP( Y, U ) ) }.
% 0.82/1.37  { ! class_Orderings_Olinorder( X ), c_Orderings_Oord__class_Oless__eq( X, Z
% 0.82/1.37    , Y ), c_Orderings_Oord__class_Oless__eq( X, Y, Z ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Set_Oinsert( Z, T, Y ), c_Set_Oinsert( Z, T, X ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Set_Oinsert( Z, T, X ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Set_Oinsert( Z, X, Y ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.82/1.37     ), c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    X, T ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), T, X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, T
% 0.82/1.37     ), X ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.82/1.37     ) = X }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = X }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = X }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    Y, X ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, c_Transitive__Closure_Ortrancl( Z, X ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), tc_HOL_Obool
% 0.82/1.37     ), c_Transitive__Closure_Ortrancl( Z, Y ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( 
% 0.82/1.37    tc_prod( Z, Z ), tc_HOL_Obool ), X, c_Transitive__Closure_Ortrancl( Z, Y
% 0.82/1.37     ) ), c_Transitive__Closure_Ortrancl( Z, X ) = 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Z, Y ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( 
% 0.82/1.37    tc_prod( Z, Z ), tc_HOL_Obool ), c_Transitive__Closure_Ortrancl( Z, Y ), 
% 0.82/1.37    c_Transitive__Closure_Ortrancl( Z, X ) ) }.
% 0.82/1.37  { ! c_Wellfounded_Owf( Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( tc_prod( Y, Y ), tc_HOL_Obool ), Z, X ), c_Wellfounded_Owf( Y, Z ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), c_Wellfounded_Oacc( Z, X ), c_Wellfounded_Oacc( Z, Y ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( T, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, 
% 0.82/1.37    X ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), X, X ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), Y ) }.
% 0.82/1.37  { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z
% 0.82/1.37    , Y ) }.
% 0.82/1.37  { ! Z = Y, c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y
% 0.82/1.37    , Z ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Z, Y ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( X, tc_HOL_Obool ), Y, Z ), Z 
% 0.82/1.37    = Y }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) = 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) }.
% 0.82/1.37  { ! hBOOL( hAPP( Y, X ) ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, Z ), hBOOL( hAPP( Z, X ) ) }.
% 0.82/1.37  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) }.
% 0.82/1.37  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.82/1.37    , Y ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     hBOOL( hAPP( Y, T ) ), hBOOL( hAPP( X, T ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, T ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, U ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, Y ) ) = Y }
% 0.82/1.37    .
% 0.82/1.37  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) }.
% 0.82/1.37  { ! Y = X, c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X
% 0.82/1.37    , Y ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_ODomain( T, Z, Y ), c_Relation_ODomain( T, Z, X ) ), 
% 0.82/1.37    c_Relation_ODomain( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod
% 0.82/1.37    ( T, Z ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_ORange( Z, T, Y ), c_Relation_ORange( Z, T, X ) ), 
% 0.82/1.37    c_Relation_ORange( Z, T, c_Groups_Ominus__class_Ominus( tc_fun( tc_prod( 
% 0.82/1.37    Z, T ), tc_HOL_Obool ), Y, X ) ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, T ), c_member( Z, Y, T ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_member( Z, T, Y ), c_member( Z, T, X ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.82/1.37    , Z, X ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), X ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.82/1.37     ), T, X ) ), ! c_member( Z, Y, X ) }.
% 0.82/1.37  { ! c_member( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool
% 0.82/1.37     ), X, T ) ), c_member( Z, Y, X ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) ), c_member( T, Z, Y ) }.
% 0.82/1.37  { ! c_member( T, Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) ), ! c_member( T, Z, X ) }.
% 0.82/1.37  { ! c_member( T, Z, Y ), c_member( T, Z, X ), c_member( T, Z, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) }.
% 0.82/1.37  { ! class_Groups_Ominus( X ), hAPP( c_Groups_Ominus__class_Ominus( tc_fun( 
% 0.82/1.37    U, X ), T, Z ), Y ) = c_Groups_Ominus__class_Ominus( X, hAPP( T, Y ), 
% 0.82/1.37    hAPP( Z, Y ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( tc_prod( Z, Z ), 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), c_Relation_OField( Z, Y ), c_Relation_OField( Z, X ) ) }
% 0.82/1.37    .
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = X }
% 0.82/1.37    .
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, U ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, T ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) = Y }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) = Y, 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Y, Z ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__sup( X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ), Y = c_Orderings_Obot__class_Obot( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ) ), Y = c_Set_Oinsert( Z, X, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Z ), 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, T, Y ) ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Y ) ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( X, Z, Y ) ) ) }.
% 0.82/1.37  { ! c_Equiv__Relations_Oequiv( Y, Z, X ), ! c_member( tc_prod( Y, Y ), 
% 0.82/1.37    c_Product__Type_OPair( Y, Y, U, T ), X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Y, tc_HOL_Obool ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, U, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ), 
% 0.82/1.37    c_Relation_OImage( Y, Y, X, c_Set_Oinsert( Y, T, 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) ) ) ) }.
% 0.82/1.37  { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), X, T ) }.
% 0.82/1.37  { c_member( Z, Y, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, T ), c_Orderings_Oord__class_Oless__eq( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, T ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Set_Oinsert( T, Z, Y ), X ), c_member( T, Z, X ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Set_Oinsert( T, Z, Y ), X ), c_Orderings_Oord__class_Oless__eq( tc_fun
% 0.82/1.37    ( T, tc_HOL_Obool ), Y, X ) }.
% 0.82/1.37  { ! c_member( T, Z, X ), ! c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Y, X ), c_Orderings_Oord__class_Oless__eq( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Set_Oinsert( T, Z, Y ), X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__sup__class_Osup( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = Y }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) ) = c_Lattices_Osemilattice__sup__class_Osup( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), X, Y ) ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ) }.
% 0.82/1.37  { ! c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y
% 0.82/1.37    , X ) = c_Orderings_Obot__class_Obot( tc_fun( Z, tc_HOL_Obool ) ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), Y, X ) = Y }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( Y, tc_HOL_Obool ), X, 
% 0.82/1.37    c_Orderings_Otop__class_Otop( tc_fun( Y, tc_HOL_Obool ) ) ) = 
% 0.82/1.37    c_Orderings_Obot__class_Obot( tc_fun( Y, tc_HOL_Obool ) ) }.
% 0.82/1.37  { c_Set_Oinsert( Z, Y, c_Groups_Ominus__class_Ominus( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), X, c_Set_Oinsert( Z, Y, c_Orderings_Obot__class_Obot( 
% 0.82/1.37    tc_fun( Z, tc_HOL_Obool ) ) ) ) ) = c_Set_Oinsert( Z, Y, X ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.82/1.37    , Z, c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ), X ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Set_Oinsert( T, Y, X ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool )
% 0.82/1.37    , Z, X ), c_Set_Oinsert( T, Y, c_Orderings_Obot__class_Obot( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ) ) ) ) }.
% 0.82/1.37  { ! c_member( Z, Y, X ), c_Groups_Ominus__class_Ominus( tc_fun( Z, 
% 0.82/1.37    tc_HOL_Obool ), c_Set_Oinsert( Z, Y, T ), X ) = 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( Z, tc_HOL_Obool ), T, X ) }.
% 0.82/1.37  { ! c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) }.
% 0.82/1.37  { c_member( T, Z, Y ), c_Groups_Ominus__class_Ominus( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), c_Set_Oinsert( T, Z, X ), Y ) = c_Set_Oinsert( T, Z, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), X, Y ) ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ), Y ) }.
% 0.82/1.37  { c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ), X ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Y, X ) ) = 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    Z, X ) ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) = c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, 
% 0.82/1.37    tc_HOL_Obool ), Z, c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool
% 0.82/1.37     ), Y, X ) ) }.
% 0.82/1.37  { c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), Z, Y ), X ) = 
% 0.82/1.37    c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, X
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    Y, X ) ) }.
% 0.82/1.37  { c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    X, Y ) ) = c_Groups_Ominus__class_Ominus( tc_fun( T, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( T, tc_HOL_Obool ), Z, Y
% 0.82/1.37     ), X ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, X
% 0.82/1.37     ) = Y }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, Y
% 0.82/1.37     ) = Y }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), X, T
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), Y, X ), !
% 0.82/1.37     c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), U, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), Y, U
% 0.82/1.37     ), c_Lattices_Osemilattice__inf__class_Oinf( tc_fun( Z, tc_HOL_Obool ), 
% 0.82/1.37    X, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Z ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z, 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Z ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, T ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, T, Z ), Y ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) = Z }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, Z ) = Z }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, Z, Y ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, U, T ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, U ), 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Y, T ) ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Z ) }.
% 0.82/1.37  { ! class_Lattices_Osemilattice__inf( X ), ! 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, 
% 0.82/1.37    c_Lattices_Osemilattice__inf__class_Oinf( X, Z, Y ) ), 
% 0.82/1.37    c_Orderings_Oord__class_Oless__eq( X, T, Y ) }.
% 0.82/1.37  { class_Lattices_Obounded__lattice( tc_HOL_Obool ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice( X ), class_Lattices_Obounded__lattice
% 0.82/1.37    ( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice( X ), 
% 0.82/1.37    class_Lattices_Obounded__lattice__top( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Obounded__lattice( X ), 
% 0.82/1.37    class_Lattices_Obounded__lattice__bot( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__sup( tc_fun
% 0.82/1.37    ( Y, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), class_Lattices_Osemilattice__inf( tc_fun
% 0.82/1.37    ( Y, X ) ) }.
% 0.82/1.37  { ! class_Lattices_Odistrib__lattice( X ), class_Lattices_Odistrib__lattice
% 0.82/1.37    ( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Orderings_Opreorder( X ), class_Orderings_Opreorder( tc_fun( Y, X
% 0.82/1.37     ) ) }.
% 0.82/1.37  { ! class_Lattices_Olattice( X ), class_Lattices_Olattice( tc_fun( Y, X ) )
% 0.82/1.37     }.
% 0.82/1.37  { ! class_Orderings_Oorder( X ), class_Orderings_Oorder( tc_fun( Y, X ) ) }
% 0.82/1.37    .
% 0.82/1.37  { ! class_Orderings_Otop( X ), class_Orderings_Otop( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Orderings_Oord( X ), class_Orderings_Oord( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Orderings_Obot( X ), class_Orderings_Obot( tc_fun( Y, X ) ) }.
% 0.82/1.37  { ! class_Groups_Ominus( X ), class_Groups_Ominus( tc_fun( Y, X ) ) }.
% 0.82/1.37  { class_Lattices_Obounded__lattice__top( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Lattices_Obounded__lattice__bot( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Lattices_Osemilattice__sup( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Lattices_Osemilattice__inf( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Lattices_Odistrib__lattice( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Orderings_Opreorder( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Lattices_Olattice( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Orderings_Oorder( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Orderings_Otop( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Orderings_Oord( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Orderings_Obot( tc_HOL_Obool ) }.
% 0.82/1.37  { class_Groups_Ominus( tc_HOL_Obool ) }.
% 0.82/1.37  { ! hBOOL( hAPP( c_fequal( Y ), X ) ), Y = X }.
% 0.82/1.37  { ! Y = X, hBOOL( hAPP( c_fequal( Y ), X ) ) }.
% 0.82/1.37  { c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.37    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), v_L, 
% 0.82/1.37    c_Arrow__Order__Mirabelle_OLin ) }.
% 0.82/1.37  { ! c_member( tc_fun( tc_prod( tc_Arrow__Order__Mirabelle_Oalt, 
% 0.82/1.37    tc_Arrow__Order__Mirabelle_Oalt ), tc_HOL_Obool ), 
% 0.82/1.37    c_Arrow__Order__Mirabelle_Omkbot( v_L, v_x ), 
% 0.82/1.37    c_Arrow__Order__Mirabelle_OLin ) }.
% 0.82/1.37  
% 0.82/1.37  *** allocated 15000 integers for clauses
% 0.82/1.37  *** allocated 22500 integers for clauses
% 0.82/1.37  *** allocated 33750 integers for clauses
% 0.82/1.37  *** allocated 50625 integers for clauses
% 0.82/1.37  percentage equality = 0.222358, percentage horn = 0.858653
% 0.82/1.37  This is a problem with some equality
% 0.82/1.37  
% 0.82/1.37  
% 0.82/1.37  
% 0.82/1.37  Options Used:
% 0.82/1.37  
% 0.82/1.37  useres =            1
% 0.82/1.37  useparamod =        1
% 0.82/1.37  useeqrefl =         1
% 0.82/1.37  useeqfact =         1
% 0.82/1.37  usefactor =         1
% 0.82/1.37  usesimpsplitting =  0
% 0.82/1.37  usesimpdemod =      5
% 0.82/1.37  usesimpres =        3
% 0.82/1.37  
% 0.82/1.37  resimpinuse      =  1000
% 0.82/1.37  resimpclauses =     20000
% 0.82/1.37  substype =          eqrewr
% 0.82/1.37  backwardsubs =      1
% 0.82/1.37  selectoldest =      5
% 0.82/1.37  
% 0.82/1.37  litorderings [0] =  split
% 0.82/1.37  litorderings [1] =  extend the termordering, first sorting on arguments
% 0.82/1.37  
% 0.82/1.37  termordering =      kbo
% 0.82/1.37  
% 0.82/1.37  litapriori =        0
% 0.82/1.37  termapriori =       1
% 0.82/1.37  litaposteriori =    0
% 0.82/1.37  termaposteriori =   0
% 0.82/1.37  demodaposteriori =  0
% 0.82/1.37  ordereqreflfact =   0
% 0.82/1.37  
% 0.82/1.37  litselect =         negord
% 0.82/1.37  
% 0.82/1.37  maxweight =         15
% 0.82/1.37  maxdepth =          30000
% 0.82/1.37  maxlength =         115
% 0.82/1.37  maxnrvars =         195
% 0.82/1.37  excuselevel =       1
% 0.82/1.37  increasemaxweight = 1
% 0.82/1.37  
% 0.82/1.37  maxselected =       10000000
% 0.82/1.37  maxnrclauses =      10000000
% 0.82/1.37  
% 0.82/1.37  showgenerated =    0
% 0.82/1.37  showkept =         0
% 0.82/1.37  showselected =     0
% 0.82/1.37  showdeleted =      0
% 0.82/1.37  showresimp =       1
% 0.82/1.37  showstatus =       2000
% 0.82/1.37  
% 0.82/1.37  prologoutput =     0
% 0.82/1.37  nrgoals =          5000000
% 0.82/1.37  totalproof =       1
% 0.82/1.37  
% 0.82/1.37  Symbols occurring in the translation:
% 0.82/1.37  
% 0.82/1.37  {}  [0, 0]      (w:1, o:2, a:1, s:1, b:0), 
% 0.82/1.37  .  [1, 2]      (w:1, o:117, a:1, s:1, b:0), 
% 0.82/1.37  !  [4, 1]      (w:0, o:92, a:1, s:1, b:0), 
% 0.82/1.37  =  [13, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.82/1.37  ==>  [14, 2]      (w:1, o:0, a:0, s:1, b:0), 
% 0.82/1.37  hAPP  [38, 2]      (w:1, o:141, a:1, s:1, b:0), 
% 0.82/1.37  tc_Arrow__Order__Mirabelle_Oalt  [41, 0]      (w:1, o:13, a:1, s:1, b:0), 
% 0.82/1.37  tc_prod  [42, 2]      (w:1, o:158, a:1, s:1, b:0), 
% 0.82/1.37  tc_HOL_Obool  [43, 0]      (w:1, o:14, a:1, s:1, b:0), 
% 0.82/1.37  tc_fun  [44, 2]      (w:1, o:159, a:1, s:1, b:0), 
% 0.82/1.37  c_Arrow__Order__Mirabelle_OLin  [45, 0]      (w:1, o:15, a:1, s:1, b:0), 
% 0.82/1.37  c_member  [46, 3]      (w:1, o:175, a:1, s:1, b:0), 
% 0.82/1.37  c_Arrow__Order__Mirabelle_Omktop  [47, 2]      (w:1, o:160, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  hBOOL  [53, 1]      (w:1, o:97, a:1, s:1, b:0), 
% 0.82/1.37  c_fequal  [55, 1]      (w:1, o:98, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Oconverse  [58, 3]      (w:1, o:176, a:1, s:1, b:0), 
% 0.82/1.37  c_Product__Type_OPair  [59, 4]      (w:1, o:230, a:1, s:1, b:0), 
% 0.82/1.37  c_Arrow__Order__Mirabelle_Obelow  [60, 3]      (w:1, o:178, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Arrow__Order__Mirabelle_Oabove  [61, 3]      (w:1, o:177, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Arrow__Order__Mirabelle_Omkbot  [63, 2]      (w:1, o:161, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_SetInterval_Oord_OgreaterThanAtMost  [69, 5]      (w:1, o:284, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  c_SetInterval_Oord_OatLeastLessThan  [70, 5]      (w:1, o:285, a:1, s:1, b:
% 0.82/1.37    0), 
% 0.82/1.37  c_SetInterval_Oord_OgreaterThanLessThan  [71, 4]      (w:1, o:235, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  c_SetInterval_Oord_OatLeastAtMost  [72, 4]      (w:1, o:236, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_SetInterval_Oord_OatMost  [76, 3]      (w:1, o:185, a:1, s:1, b:0), 
% 0.82/1.37  c_SetInterval_Oord_OatLeast  [77, 3]      (w:1, o:184, a:1, s:1, b:0), 
% 0.82/1.37  c_SetInterval_Oord_OlessThan  [78, 3]      (w:1, o:186, a:1, s:1, b:0), 
% 0.82/1.37  c_SetInterval_Oord_OgreaterThan  [79, 3]      (w:1, o:187, a:1, s:1, b:0), 
% 0.82/1.37    
% 0.82/1.37  c_FunDef_Oin__rel  [81, 3]      (w:1, o:189, a:1, s:1, b:0), 
% 0.82/1.37  c_Recdef_Osame__fst  [84, 4]      (w:1, o:231, a:1, s:1, b:0), 
% 0.82/1.37  c_Nitpick_Orefl_H  [85, 2]      (w:1, o:162, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Oirrefl  [86, 2]      (w:1, o:163, a:1, s:1, b:0), 
% 0.82/1.37  c_Wellfounded_Olex__prod  [90, 4]      (w:1, o:237, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_ORange  [93, 3]      (w:1, o:179, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_OId__on  [94, 2]      (w:1, o:164, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_ODomain  [95, 3]      (w:1, o:180, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Ototal__on  [96, 3]      (w:1, o:182, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Oinv__image  [98, 4]      (w:1, o:232, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Orefl__on  [99, 3]      (w:1, o:183, a:1, s:1, b:0), 
% 0.82/1.37  c_Wellfounded_Oacc  [100, 2]      (w:1, o:165, a:1, s:1, b:0), 
% 0.82/1.37  c_Recdef_Owfrec__rel  [104, 6]      (w:1, o:305, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Osingle__valued  [107, 3]      (w:1, o:181, a:1, s:1, b:0), 
% 0.82/1.37  c_Recdef_Ocut  [110, 5]      (w:1, o:283, a:1, s:1, b:0), 
% 0.82/1.37  c_Transitive__Closure_Ortrancl  [111, 2]      (w:1, o:167, a:1, s:1, b:0), 
% 0.82/1.37    
% 0.82/1.37  c_Nitpick_Owf__wfrec_H  [112, 5]      (w:1, o:286, a:1, s:1, b:0), 
% 0.82/1.37  c_Nitpick_Owf__wfrec  [113, 4]      (w:1, o:238, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_OId  [114, 1]      (w:1, o:99, a:1, s:1, b:0), 
% 0.82/1.37  c_Transitive__Closure_Otrancl  [127, 2]      (w:1, o:168, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_Oantisym  [133, 2]      (w:1, o:169, a:1, s:1, b:0), 
% 0.82/1.37  c_Product__Type_Oprod_Oprod__rec  [136, 5]      (w:1, o:287, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Wellfounded_Oacyclic  [137, 2]      (w:1, o:170, a:1, s:1, b:0), 
% 0.82/1.37  c_Product__Type_Ointernal__split  [138, 5]      (w:1, o:288, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Set_Oinsert  [140, 3]      (w:1, o:190, a:1, s:1, b:0), 
% 0.82/1.37  c_Product__Type_Ocurry  [141, 6]      (w:1, o:306, a:1, s:1, b:0), 
% 0.82/1.37  c_Lattices_Osemilattice__sup__class_Osup  [142, 3]      (w:1, o:191, a:1
% 0.82/1.37    , s:1, b:0), 
% 0.82/1.37  class_Lattices_Olattice  [145, 1]      (w:1, o:100, a:1, s:1, b:0), 
% 0.82/1.37  c_Wellfounded_Owf  [147, 2]      (w:1, o:171, a:1, s:1, b:0), 
% 0.82/1.37  c_Relation_OField  [148, 2]      (w:1, o:172, a:1, s:1, b:0), 
% 0.82/1.37  c_Orderings_Otop__class_Otop  [149, 1]      (w:1, o:101, a:1, s:1, b:0), 
% 0.82/1.37  class_Lattices_Obounded__lattice__top  [153, 1]      (w:1, o:102, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  class_Lattices_Osemilattice__sup  [156, 1]      (w:1, o:103, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Wellfounded_Omeasure  [158, 2]      (w:1, o:173, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Otop  [159, 1]      (w:1, o:104, a:1, s:1, b:0), 
% 0.82/1.37  c_Recdef_Owfrec  [161, 4]      (w:1, o:233, a:1, s:1, b:0), 
% 0.82/1.37  c_Orderings_Obot__class_Obot  [163, 1]      (w:1, o:105, a:1, s:1, b:0), 
% 0.82/1.37  c_Wellfounded_OwfP  [165, 2]      (w:1, o:174, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Obot  [166, 1]      (w:1, o:106, a:1, s:1, b:0), 
% 0.82/1.37  class_Lattices_Obounded__lattice__bot  [168, 1]      (w:1, o:107, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  c_Set_Othe__elem  [169, 2]      (w:1, o:166, a:1, s:1, b:0), 
% 0.82/1.37  c_Lattices_Osemilattice__inf__class_Oinf  [170, 3]      (w:1, o:192, a:1
% 0.82/1.37    , s:1, b:0), 
% 0.82/1.37  c_Relation_OImage  [171, 4]      (w:1, o:234, a:1, s:1, b:0), 
% 0.82/1.37  class_Lattices_Odistrib__lattice  [172, 1]      (w:1, o:108, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  class_Lattices_Osemilattice__inf  [173, 1]      (w:1, o:109, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Order__Relation_Opartial__order__on  [175, 3]      (w:1, o:193, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  c_Order__Relation_Olinear__order__on  [176, 3]      (w:1, o:194, a:1, s:1
% 0.82/1.37    , b:0), 
% 0.82/1.37  c_Order__Relation_Owell__order__on  [177, 3]      (w:1, o:195, a:1, s:1, b:
% 0.82/1.37    0), 
% 0.82/1.37  c_Order__Relation_Opreorder__on  [178, 3]      (w:1, o:196, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  c_Orderings_Oord__class_Oless__eq  [179, 3]      (w:1, o:197, a:1, s:1, b:0
% 0.82/1.37    ), 
% 0.82/1.37  c_Equiv__Relations_Oequiv  [180, 3]      (w:1, o:188, a:1, s:1, b:0), 
% 0.82/1.37  c_Groups_Ominus__class_Ominus  [181, 3]      (w:1, o:198, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Opreorder  [182, 1]      (w:1, o:112, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Oord  [184, 1]      (w:1, o:110, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Olinorder  [185, 1]      (w:1, o:113, a:1, s:1, b:0), 
% 0.82/1.37  class_Orderings_Oorder  [186, 1]      (w:1, o:111, a:1, s:1, b:0), 
% 0.82/1.37  class_Groups_Ominus  [190, 1]      (w:1, o:114, a:1, s:1, b:0), 
% 0.82/1.37  class_Lattices_Obounded__lattice  [192, 1]      (w:1, o:115, a:1, s:1, b:0)
% 0.82/1.37    , 
% 0.82/1.37  v_L  [196, 0]      (w:1, o:90, a:1, s:1, b:0), 
% 0.82/1.37  v_x  [197, 0]      (w:1, o:91, a:1, s:1, b:0), 
% 0.82/1.37  alpha1  [198, 3]      (w:1, o:199, a:1, s:1, b:1), 
% 0.82/1.37  alpha2  [199, 3]      (w:1, o:204, a:1, s:1, b:1), 
% 0.82/1.37  alpha3  [200, 3]      (w:1, o:207, a:1, s:1, b:1), 
% 0.82/1.37  alpha4  [201, 3]      (w:1, o:208, a:1, s:1, b:1), 
% 0.82/1.37  alpha5  [202, 6]      (w:1, o:308, a:1, s:1, b:1), 
% 0.82/1.37  alpha6  [203, 4]      (w:1, o:239, a:1, s:1, b:1), 
% 0.82/1.37  alpha7  [204, 6]      (w:1, o:309, a:1, s:1, b:1), 
% 0.82/1.37  alpha8  [205, 5]      (w:1, o:289, a:1, s:1, b:1), 
% 0.82/1.37  alpha9  [206, 6]      (w:1, o:310, a:1, s:1, b:1), 
% 0.82/1.37  alpha10  [207, 4]      (w:1, o:240, a:1, s:1, b:1), 
% 0.82/1.37  alpha11  [208, 4]      (w:1, o:241, a:1, s:1, b:1), 
% 0.82/1.37  alpha12  [209, 3]      (w:1, o:200, a:1, s:1, b:1), 
% 0.82/1.37  alpha13  [210, 3]      (w:1, o:201, a:1, s:1, b:1), 
% 0.82/1.37  alpha14  [211, 3]      (w:1, o:202, a:1, s:1, b:1), 
% 0.82/1.37  alpha15  [212, 4]      (w:1, o:242, a:1, s:1, b:1), 
% 0.82/1.37  alpha16  [213, 3]      (w:1, o:203, a:1, s:1, b:1), 
% 0.82/1.37  alpha17  [214, 4]      (w:1, o:243, a:1, s:1, b:1), 
% 0.82/1.37  alpha18  [215, 4]      (w:1, o:244, a:1, s:1, b:1), 
% 0.82/1.37  alpha19  [216, 4]      (w:1, o:245, a:1, s:1, b:1), 
% 0.82/1.37  alpha20  [217, 4]      (w:1, o:246, a:1, s:1, b:1), 
% 0.82/1.37  alpha21  [218, 4]      (w:1, o:247, a:1, s:1, b:1), 
% 0.82/1.37  alpha22  [219, 4]      (w:1, o:248, a:1, s:1, b:1), 
% 3.06/3.47  alpha23  [220, 3]      (w:1, o:205, a:1, s:1, b:1), 
% 3.06/3.47  alpha24  [221, 3]      (w:1, o:206, a:1, s:1, b:1), 
% 3.06/3.47  alpha25  [222, 4]      (w:1, o:249, a:1, s:1, b:1), 
% 3.06/3.47  alpha26  [223, 4]      (w:1, o:250, a:1, s:1, b:1), 
% 3.06/3.47  alpha27  [224, 4]      (w:1, o:251, a:1, s:1, b:1), 
% 3.06/3.47  alpha28  [225, 5]      (w:1, o:290, a:1, s:1, b:1), 
% 3.06/3.47  alpha29  [226, 5]      (w:1, o:291, a:1, s:1, b:1), 
% 3.06/3.47  alpha30  [227, 4]      (w:1, o:252, a:1, s:1, b:1), 
% 3.06/3.47  alpha31  [228, 4]      (w:1, o:253, a:1, s:1, b:1), 
% 3.06/3.47  alpha32  [229, 4]      (w:1, o:254, a:1, s:1, b:1), 
% 3.06/3.47  alpha33  [230, 4]      (w:1, o:255, a:1, s:1, b:1), 
% 3.06/3.47  alpha34  [231, 4]      (w:1, o:256, a:1, s:1, b:1), 
% 3.06/3.47  alpha35  [232, 5]      (w:1, o:292, a:1, s:1, b:1), 
% 3.06/3.47  alpha36  [233, 5]      (w:1, o:293, a:1, s:1, b:1), 
% 3.06/3.47  alpha37  [234, 5]      (w:1, o:294, a:1, s:1, b:1), 
% 3.06/3.47  alpha38  [235, 5]      (w:1, o:295, a:1, s:1, b:1), 
% 3.06/3.47  alpha39  [236, 5]      (w:1, o:296, a:1, s:1, b:1), 
% 3.06/3.47  alpha40  [237, 5]      (w:1, o:297, a:1, s:1, b:1), 
% 3.06/3.47  alpha41  [238, 5]      (w:1, o:298, a:1, s:1, b:1), 
% 3.06/3.47  alpha42  [239, 5]      (w:1, o:299, a:1, s:1, b:1), 
% 3.06/3.47  alpha43  [240, 4]      (w:1, o:257, a:1, s:1, b:1), 
% 3.06/3.47  alpha44  [241, 6]      (w:1, o:307, a:1, s:1, b:1), 
% 3.06/3.47  alpha45  [242, 9]      (w:1, o:326, a:1, s:1, b:1), 
% 3.06/3.47  alpha46  [243, 5]      (w:1, o:300, a:1, s:1, b:1), 
% 3.06/3.47  alpha47  [244, 4]      (w:1, o:258, a:1, s:1, b:1), 
% 3.06/3.47  skol1  [245, 2]      (w:1, o:142, a:1, s:1, b:1), 
% 3.06/3.47  skol2  [246, 0]      (w:1, o:12, a:1, s:1, b:1), 
% 3.06/3.47  skol3  [247, 2]      (w:1, o:144, a:1, s:1, b:1), 
% 3.06/3.47  skol4  [248, 2]      (w:1, o:147, a:1, s:1, b:1), 
% 3.06/3.47  skol5  [249, 4]      (w:1, o:263, a:1, s:1, b:1), 
% 3.06/3.47  skol6  [250, 3]      (w:1, o:212, a:1, s:1, b:1), 
% 3.06/3.47  skol7  [251, 4]      (w:1, o:265, a:1, s:1, b:1), 
% 3.06/3.47  skol8  [252, 4]      (w:1, o:269, a:1, s:1, b:1), 
% 3.06/3.47  skol9  [253, 4]      (w:1, o:270, a:1, s:1, b:1), 
% 3.06/3.47  skol10  [254, 3]      (w:1, o:213, a:1, s:1, b:1), 
% 3.06/3.47  skol11  [255, 4]      (w:1, o:271, a:1, s:1, b:1), 
% 3.06/3.47  skol12  [256, 4]      (w:1, o:272, a:1, s:1, b:1), 
% 3.06/3.47  skol13  [257, 3]      (w:1, o:214, a:1, s:1, b:1), 
% 3.06/3.47  skol14  [258, 6]      (w:1, o:311, a:1, s:1, b:1), 
% 3.06/3.47  skol15  [259, 6]      (w:1, o:312, a:1, s:1, b:1), 
% 3.06/3.47  skol16  [260, 3]      (w:1, o:215, a:1, s:1, b:1), 
% 3.06/3.47  skol17  [261, 5]      (w:1, o:301, a:1, s:1, b:1), 
% 3.06/3.47  skol18  [262, 5]      (w:1, o:302, a:1, s:1, b:1), 
% 3.06/3.47  skol19  [263, 3]      (w:1, o:216, a:1, s:1, b:1), 
% 3.06/3.47  skol20  [264, 3]      (w:1, o:217, a:1, s:1, b:1), 
% 3.06/3.47  skol21  [265, 6]      (w:1, o:313, a:1, s:1, b:1), 
% 3.06/3.47  skol22  [266, 6]      (w:1, o:314, a:1, s:1, b:1), 
% 3.06/3.47  skol23  [267, 6]      (w:1, o:315, a:1, s:1, b:1), 
% 3.06/3.47  skol24  [268, 3]      (w:1, o:218, a:1, s:1, b:1), 
% 3.06/3.47  skol25  [269, 2]      (w:1, o:143, a:1, s:1, b:1), 
% 3.06/3.47  skol26  [270, 6]      (w:1, o:316, a:1, s:1, b:1), 
% 3.06/3.47  skol27  [271, 6]      (w:1, o:317, a:1, s:1, b:1), 
% 3.06/3.47  skol28  [272, 6]      (w:1, o:318, a:1, s:1, b:1), 
% 3.06/3.47  skol29  [273, 7]      (w:1, o:324, a:1, s:1, b:1), 
% 3.06/3.47  skol30  [274, 4]      (w:1, o:273, a:1, s:1, b:1), 
% 3.06/3.47  skol31  [275, 4]      (w:1, o:274, a:1, s:1, b:1), 
% 3.06/3.47  skol32  [276, 4]      (w:1, o:275, a:1, s:1, b:1), 
% 3.06/3.47  skol33  [277, 4]      (w:1, o:276, a:1, s:1, b:1), 
% 3.06/3.47  skol34  [278, 4]      (w:1, o:277, a:1, s:1, b:1), 
% 3.06/3.47  skol35  [279, 1]      (w:1, o:116, a:1, s:1, b:1), 
% 3.06/3.47  skol36  [280, 2]      (w:1, o:145, a:1, s:1, b:1), 
% 3.06/3.47  skol37  [281, 4]      (w:1, o:278, a:1, s:1, b:1), 
% 3.06/3.47  skol38  [282, 4]      (w:1, o:279, a:1, s:1, b:1), 
% 3.06/3.47  skol39  [283, 2]      (w:1, o:146, a:1, s:1, b:1), 
% 3.06/3.47  skol40  [284, 2]      (w:1, o:148, a:1, s:1, b:1), 
% 3.06/3.47  skol41  [285, 4]      (w:1, o:259, a:1, s:1, b:1), 
% 3.06/3.47  skol42  [286, 2]      (w:1, o:149, a:1, s:1, b:1), 
% 3.06/3.47  skol43  [287, 2]      (w:1, o:150, a:1, s:1, b:1), 
% 3.06/3.47  skol44  [288, 4]      (w:1, o:260, a:1, s:1, b:1), 
% 3.06/3.47  skol45  [289, 4]      (w:1, o:261, a:1, s:1, b:1), 
% 3.06/3.47  skol46  [290, 3]      (w:1, o:219, a:1, s:1, b:1), 
% 3.06/3.47  skol47  [291, 3]      (w:1, o:220, a:1, s:1, b:1), 
% 3.06/3.47  skol48  [292, 4]      (w:1, o:262, a:1, s:1, b:1), 
% 3.06/3.47  skol49  [293, 3]      (w:1, o:221, a:1, s:1, b:1), 
% 3.06/3.47  skol50  [294, 3]      (w:1, o:209, a:1, s:1, b:1), 
% 3.06/3.47  skol51  [295, 4]      (w:1, o:280, a:1, s:1, b:1), 
% 3.06/3.47  skol52  [296, 4]      (w:1, o:281, a:1, s:1, b:1), 
% 3.06/3.47  skol53  [297, 2]      (w:1, o:151, a:1, s:1, b:1), 
% 14.51/14.89  skol54  [298, 3]      (w:1, o:210, a:1, s:1, b:1), 
% 14.51/14.89  skol55  [299, 2]      (w:1, o:152, a:1, s:1, b:1), 
% 14.51/14.89  skol56  [300, 3]      (w:1, o:211, a:1, s:1, b:1), 
% 14.51/14.89  skol57  [301, 4]      (w:1, o:282, a:1, s:1, b:1), 
% 14.51/14.89  skol58  [302, 2]      (w:1, o:153, a:1, s:1, b:1), 
% 14.51/14.89  skol59  [303, 2]      (w:1, o:154, a:1, s:1, b:1), 
% 14.51/14.89  skol60  [304, 3]      (w:1, o:222, a:1, s:1, b:1), 
% 14.51/14.89  skol61  [305, 3]      (w:1, o:223, a:1, s:1, b:1), 
% 14.51/14.89  skol62  [306, 5]      (w:1, o:303, a:1, s:1, b:1), 
% 14.51/14.89  skol63  [307, 5]      (w:1, o:304, a:1, s:1, b:1), 
% 14.51/14.89  skol64  [308, 3]      (w:1, o:224, a:1, s:1, b:1), 
% 14.51/14.89  skol65  [309, 4]      (w:1, o:264, a:1, s:1, b:1), 
% 14.51/14.89  skol66  [310, 3]      (w:1, o:225, a:1, s:1, b:1), 
% 14.51/14.89  skol67  [311, 3]      (w:1, o:226, a:1, s:1, b:1), 
% 14.51/14.89  skol68  [312, 6]      (w:1, o:319, a:1, s:1, b:1), 
% 14.51/14.89  skol69  [313, 6]      (w:1, o:320, a:1, s:1, b:1), 
% 14.51/14.89  skol70  [314, 6]      (w:1, o:321, a:1, s:1, b:1), 
% 14.51/14.89  skol71  [315, 7]      (w:1, o:325, a:1, s:1, b:1), 
% 14.51/14.89  skol72  [316, 4]      (w:1, o:266, a:1, s:1, b:1), 
% 14.51/14.89  skol73  [317, 3]      (w:1, o:227, a:1, s:1, b:1), 
% 14.51/14.89  skol74  [318, 2]      (w:1, o:155, a:1, s:1, b:1), 
% 14.51/14.89  skol75  [319, 2]      (w:1, o:156, a:1, s:1, b:1), 
% 14.51/14.89  skol76  [320, 4]      (w:1, o:267, a:1, s:1, b:1), 
% 14.51/14.89  skol77  [321, 4]      (w:1, o:268, a:1, s:1, b:1), 
% 14.51/14.89  skol78  [322, 2]      (w:1, o:157, a:1, s:1, b:1), 
% 14.51/14.89  skol79  [323, 3]      (w:1, o:228, a:1, s:1, b:1), 
% 14.51/14.89  skol80  [324, 6]      (w:1, o:322, a:1, s:1, b:1), 
% 14.51/14.89  skol81  [325, 3]      (w:1, o:229, a:1, s:1, b:1), 
% 14.51/14.89  skol82  [326, 6]      (w:1, o:323, a:1, s:1, b:1).
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Starting Search:
% 14.51/14.89  
% 14.51/14.89  *** allocated 75937 integers for clauses
% 14.51/14.89  *** allocated 113905 integers for clauses
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 170857 integers for clauses
% 14.51/14.89  *** allocated 113905 integers for termspace/termends
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    4911
% 14.51/14.89  Kept:         2040
% 14.51/14.89  Inuse:        101
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 170857 integers for termspace/termends
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 256285 integers for clauses
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    12809
% 14.51/14.89  Kept:         4226
% 14.51/14.89  Inuse:        176
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 384427 integers for clauses
% 14.51/14.89  *** allocated 256285 integers for termspace/termends
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    19653
% 14.51/14.89  Kept:         6390
% 14.51/14.89  Inuse:        216
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 384427 integers for termspace/termends
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    33290
% 14.51/14.89  Kept:         8421
% 14.51/14.89  Inuse:        272
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  *** allocated 576640 integers for clauses
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    38819
% 14.51/14.89  Kept:         10432
% 14.51/14.89  Inuse:        299
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    45631
% 14.51/14.89  Kept:         12585
% 14.51/14.89  Inuse:        321
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 576640 integers for termspace/termends
% 14.51/14.89  *** allocated 864960 integers for clauses
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    51485
% 14.51/14.89  Kept:         14640
% 14.51/14.89  Inuse:        341
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    57858
% 14.51/14.89  Kept:         16845
% 14.51/14.89  Inuse:        386
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    64994
% 14.51/14.89  Kept:         18954
% 14.51/14.89  Inuse:        421
% 14.51/14.89  Deleted:      1
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying clauses:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 864960 integers for termspace/termends
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    69379
% 14.51/14.89  Kept:         20972
% 14.51/14.89  Inuse:        457
% 14.51/14.89  Deleted:      34
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  *** allocated 1297440 integers for clauses
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    73944
% 14.51/14.89  Kept:         22973
% 14.51/14.89  Inuse:        485
% 14.51/14.89  Deleted:      34
% 14.51/14.89  Deletedinuse: 1
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  Resimplifying inuse:
% 14.51/14.89  Done
% 14.51/14.89  
% 14.51/14.89  
% 14.51/14.89  Intermediate Status:
% 14.51/14.89  Generated:    77790
% 64.28/64.71  Kept:         24993
% 64.28/64.71  Inuse:        513
% 64.28/64.71  Deleted:      34
% 64.28/64.71  Deletedinuse: 1
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    81646
% 64.28/64.71  Kept:         27228
% 64.28/64.71  Inuse:        546
% 64.28/64.71  Deleted:      34
% 64.28/64.71  Deletedinuse: 1
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    85360
% 64.28/64.71  Kept:         29238
% 64.28/64.71  Inuse:        570
% 64.28/64.71  Deleted:      35
% 64.28/64.71  Deletedinuse: 2
% 64.28/64.71  
% 64.28/64.71  *** allocated 1297440 integers for termspace/termends
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  *** allocated 1946160 integers for clauses
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    89726
% 64.28/64.71  Kept:         31256
% 64.28/64.71  Inuse:        586
% 64.28/64.71  Deleted:      35
% 64.28/64.71  Deletedinuse: 2
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    94257
% 64.28/64.71  Kept:         33697
% 64.28/64.71  Inuse:        596
% 64.28/64.71  Deleted:      35
% 64.28/64.71  Deletedinuse: 2
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    98698
% 64.28/64.71  Kept:         35871
% 64.28/64.71  Inuse:        616
% 64.28/64.71  Deleted:      37
% 64.28/64.71  Deletedinuse: 4
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    106273
% 64.28/64.71  Kept:         37905
% 64.28/64.71  Inuse:        635
% 64.28/64.71  Deleted:      37
% 64.28/64.71  Deletedinuse: 4
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    113003
% 64.28/64.71  Kept:         40230
% 64.28/64.71  Inuse:        676
% 64.28/64.71  Deleted:      38
% 64.28/64.71  Deletedinuse: 5
% 64.28/64.71  
% 64.28/64.71  Resimplifying clauses:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    116403
% 64.28/64.71  Kept:         42238
% 64.28/64.71  Inuse:        716
% 64.28/64.71  Deleted:      320
% 64.28/64.71  Deletedinuse: 5
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  *** allocated 1946160 integers for termspace/termends
% 64.28/64.71  *** allocated 2919240 integers for clauses
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    122577
% 64.28/64.71  Kept:         45776
% 64.28/64.71  Inuse:        778
% 64.28/64.71  Deleted:      320
% 64.28/64.71  Deletedinuse: 5
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    128039
% 64.28/64.71  Kept:         49083
% 64.28/64.71  Inuse:        812
% 64.28/64.71  Deleted:      376
% 64.28/64.71  Deletedinuse: 61
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    133301
% 64.28/64.71  Kept:         52170
% 64.28/64.71  Inuse:        845
% 64.28/64.71  Deleted:      377
% 64.28/64.71  Deletedinuse: 62
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    140562
% 64.28/64.71  Kept:         55675
% 64.28/64.71  Inuse:        880
% 64.28/64.71  Deleted:      377
% 64.28/64.71  Deletedinuse: 62
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    149211
% 64.28/64.71  Kept:         57936
% 64.28/64.71  Inuse:        906
% 64.28/64.71  Deleted:      377
% 64.28/64.71  Deletedinuse: 62
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    153787
% 64.28/64.71  Kept:         60114
% 64.28/64.71  Inuse:        941
% 64.28/64.71  Deleted:      379
% 64.28/64.71  Deletedinuse: 64
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying clauses:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    160075
% 64.28/64.71  Kept:         62469
% 64.28/64.71  Inuse:        986
% 64.28/64.71  Deleted:      1978
% 64.28/64.71  Deletedinuse: 64
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    165744
% 64.28/64.71  Kept:         64521
% 64.28/64.71  Inuse:        1016
% 64.28/64.71  Deleted:      1981
% 64.28/64.71  Deletedinuse: 67
% 64.28/64.71  
% 64.28/64.71  *** allocated 2919240 integers for termspace/termends
% 64.28/64.71  *** allocated 4378860 integers for clauses
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    173212
% 64.28/64.71  Kept:         66815
% 64.28/64.71  Inuse:        1036
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    177838
% 64.28/64.71  Kept:         68869
% 64.28/64.71  Inuse:        1061
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    182788
% 64.28/64.71  Kept:         70878
% 64.28/64.71  Inuse:        1076
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    186471
% 64.28/64.71  Kept:         72989
% 64.28/64.71  Inuse:        1096
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    192592
% 64.28/64.71  Kept:         75901
% 64.28/64.71  Inuse:        1111
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  
% 64.28/64.71  Intermediate Status:
% 64.28/64.71  Generated:    196731
% 64.28/64.71  Kept:         78086
% 64.28/64.71  Inuse:        1126
% 64.28/64.71  Deleted:      1984
% 64.28/64.71  Deletedinuse: 70
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 64.28/64.71  Done
% 64.28/64.71  
% 64.28/64.71  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    202357
% 148.82/149.31  Kept:         80101
% 148.82/149.31  Inuse:        1138
% 148.82/149.31  Deleted:      1984
% 148.82/149.31  Deletedinuse: 70
% 148.82/149.31  
% 148.82/149.31  *** allocated 4378860 integers for termspace/termends
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying clauses:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    211079
% 148.82/149.31  Kept:         82875
% 148.82/149.31  Inuse:        1146
% 148.82/149.31  Deleted:      2023
% 148.82/149.31  Deletedinuse: 70
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    221875
% 148.82/149.31  Kept:         86223
% 148.82/149.31  Inuse:        1156
% 148.82/149.31  Deleted:      2023
% 148.82/149.31  Deletedinuse: 70
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    229198
% 148.82/149.31  Kept:         88753
% 148.82/149.31  Inuse:        1166
% 148.82/149.31  Deleted:      2023
% 148.82/149.31  Deletedinuse: 70
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    233105
% 148.82/149.31  Kept:         90833
% 148.82/149.31  Inuse:        1186
% 148.82/149.31  Deleted:      2024
% 148.82/149.31  Deletedinuse: 71
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    237168
% 148.82/149.31  Kept:         92951
% 148.82/149.31  Inuse:        1206
% 148.82/149.31  Deleted:      2024
% 148.82/149.31  Deletedinuse: 71
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    245498
% 148.82/149.31  Kept:         95637
% 148.82/149.31  Inuse:        1231
% 148.82/149.31  Deleted:      2024
% 148.82/149.31  Deletedinuse: 71
% 148.82/149.31  
% 148.82/149.31  *** allocated 6568290 integers for clauses
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    253798
% 148.82/149.31  Kept:         97662
% 148.82/149.31  Inuse:        1250
% 148.82/149.31  Deleted:      2024
% 148.82/149.31  Deletedinuse: 71
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    261905
% 148.82/149.31  Kept:         100713
% 148.82/149.31  Inuse:        1271
% 148.82/149.31  Deleted:      2025
% 148.82/149.31  Deletedinuse: 72
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying clauses:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    272869
% 148.82/149.31  Kept:         102788
% 148.82/149.31  Inuse:        1291
% 148.82/149.31  Deleted:      2161
% 148.82/149.31  Deletedinuse: 74
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    279342
% 148.82/149.31  Kept:         105022
% 148.82/149.31  Inuse:        1331
% 148.82/149.31  Deleted:      2164
% 148.82/149.31  Deletedinuse: 77
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    285034
% 148.82/149.31  Kept:         107051
% 148.82/149.31  Inuse:        1348
% 148.82/149.31  Deleted:      2164
% 148.82/149.31  Deletedinuse: 77
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    294640
% 148.82/149.31  Kept:         110296
% 148.82/149.31  Inuse:        1361
% 148.82/149.31  Deleted:      2164
% 148.82/149.31  Deletedinuse: 77
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  *** allocated 6568290 integers for termspace/termends
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    301370
% 148.82/149.31  Kept:         112688
% 148.82/149.31  Inuse:        1371
% 148.82/149.31  Deleted:      2164
% 148.82/149.31  Deletedinuse: 77
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    308127
% 148.82/149.31  Kept:         115180
% 148.82/149.31  Inuse:        1391
% 148.82/149.31  Deleted:      2164
% 148.82/149.31  Deletedinuse: 77
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    312267
% 148.82/149.31  Kept:         117741
% 148.82/149.31  Inuse:        1416
% 148.82/149.31  Deleted:      2167
% 148.82/149.31  Deletedinuse: 80
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    318133
% 148.82/149.31  Kept:         120267
% 148.82/149.31  Inuse:        1451
% 148.82/149.31  Deleted:      2169
% 148.82/149.31  Deletedinuse: 82
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying clauses:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    322929
% 148.82/149.31  Kept:         122279
% 148.82/149.31  Inuse:        1481
% 148.82/149.31  Deleted:      2388
% 148.82/149.31  Deletedinuse: 83
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    329273
% 148.82/149.31  Kept:         124804
% 148.82/149.31  Inuse:        1501
% 148.82/149.31  Deleted:      2388
% 148.82/149.31  Deletedinuse: 83
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    333453
% 148.82/149.31  Kept:         126938
% 148.82/149.31  Inuse:        1521
% 148.82/149.31  Deleted:      2388
% 148.82/149.31  Deletedinuse: 83
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    343727
% 148.82/149.31  Kept:         130841
% 148.82/149.31  Inuse:        1541
% 148.82/149.31  Deleted:      2388
% 148.82/149.31  Deletedinuse: 83
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    353314
% 148.82/149.31  Kept:         134589
% 148.82/149.31  Inuse:        1561
% 148.82/149.31  Deleted:      2394
% 148.82/149.31  Deletedinuse: 89
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  
% 148.82/149.31  Intermediate Status:
% 148.82/149.31  Generated:    357730
% 148.82/149.31  Kept:         136714
% 148.82/149.31  Inuse:        1601
% 148.82/149.31  Deleted:      2394
% 148.82/149.31  Deletedinuse: 89
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 148.82/149.31  Done
% 148.82/149.31  
% 148.82/149.31  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    361865
% 268.74/269.30  Kept:         138797
% 268.74/269.30  Inuse:        1651
% 268.74/269.30  Deleted:      2397
% 268.74/269.30  Deletedinuse: 92
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    365532
% 268.74/269.30  Kept:         140917
% 268.74/269.30  Inuse:        1681
% 268.74/269.30  Deleted:      2399
% 268.74/269.30  Deletedinuse: 94
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying clauses:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    372321
% 268.74/269.30  Kept:         143039
% 268.74/269.30  Inuse:        1713
% 268.74/269.30  Deleted:      2679
% 268.74/269.30  Deletedinuse: 99
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  *** allocated 9852435 integers for clauses
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    377448
% 268.74/269.30  Kept:         145124
% 268.74/269.30  Inuse:        1736
% 268.74/269.30  Deleted:      2686
% 268.74/269.30  Deletedinuse: 99
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    388026
% 268.74/269.30  Kept:         147124
% 268.74/269.30  Inuse:        1751
% 268.74/269.30  Deleted:      2698
% 268.74/269.30  Deletedinuse: 102
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    393576
% 268.74/269.30  Kept:         149186
% 268.74/269.30  Inuse:        1767
% 268.74/269.30  Deleted:      2699
% 268.74/269.30  Deletedinuse: 103
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    397861
% 268.74/269.30  Kept:         151326
% 268.74/269.30  Inuse:        1787
% 268.74/269.30  Deleted:      2699
% 268.74/269.30  Deletedinuse: 103
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    401435
% 268.74/269.30  Kept:         153363
% 268.74/269.30  Inuse:        1807
% 268.74/269.30  Deleted:      2700
% 268.74/269.30  Deletedinuse: 104
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    408548
% 268.74/269.30  Kept:         156120
% 268.74/269.30  Inuse:        1822
% 268.74/269.30  Deleted:      2700
% 268.74/269.30  Deletedinuse: 104
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    415320
% 268.74/269.30  Kept:         158279
% 268.74/269.30  Inuse:        1832
% 268.74/269.30  Deleted:      2700
% 268.74/269.30  Deletedinuse: 104
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    420662
% 268.74/269.30  Kept:         160453
% 268.74/269.30  Inuse:        1839
% 268.74/269.30  Deleted:      2708
% 268.74/269.30  Deletedinuse: 104
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying clauses:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    425006
% 268.74/269.30  Kept:         162711
% 268.74/269.30  Inuse:        1859
% 268.74/269.30  Deleted:      2967
% 268.74/269.30  Deletedinuse: 104
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    430835
% 268.74/269.30  Kept:         164711
% 268.74/269.30  Inuse:        1900
% 268.74/269.30  Deleted:      2968
% 268.74/269.30  Deletedinuse: 105
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    437512
% 268.74/269.30  Kept:         166744
% 268.74/269.30  Inuse:        1922
% 268.74/269.30  Deleted:      2970
% 268.74/269.30  Deletedinuse: 107
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  *** allocated 9852435 integers for termspace/termends
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    443591
% 268.74/269.30  Kept:         168954
% 268.74/269.30  Inuse:        1949
% 268.74/269.30  Deleted:      2971
% 268.74/269.30  Deletedinuse: 108
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    451959
% 268.74/269.30  Kept:         170978
% 268.74/269.30  Inuse:        2004
% 268.74/269.30  Deleted:      2972
% 268.74/269.30  Deletedinuse: 109
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    456498
% 268.74/269.30  Kept:         173097
% 268.74/269.30  Inuse:        2029
% 268.74/269.30  Deleted:      2972
% 268.74/269.30  Deletedinuse: 109
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    461669
% 268.74/269.30  Kept:         175433
% 268.74/269.30  Inuse:        2064
% 268.74/269.30  Deleted:      2978
% 268.74/269.30  Deletedinuse: 115
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    468112
% 268.74/269.30  Kept:         178260
% 268.74/269.30  Inuse:        2084
% 268.74/269.30  Deleted:      2980
% 268.74/269.30  Deletedinuse: 117
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    479969
% 268.74/269.30  Kept:         181200
% 268.74/269.30  Inuse:        2086
% 268.74/269.30  Deleted:      2991
% 268.74/269.30  Deletedinuse: 120
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying clauses:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    487021
% 268.74/269.30  Kept:         183312
% 268.74/269.30  Inuse:        2103
% 268.74/269.30  Deleted:      3707
% 268.74/269.30  Deletedinuse: 123
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    494950
% 268.74/269.30  Kept:         186053
% 268.74/269.30  Inuse:        2122
% 268.74/269.30  Deleted:      3708
% 268.74/269.30  Deletedinuse: 124
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  
% 268.74/269.30  Intermediate Status:
% 268.74/269.30  Generated:    502418
% 268.74/269.30  Kept:         188093
% 268.74/269.30  Inuse:        2138
% 268.74/269.30  Deleted:      3708
% 268.74/269.30  Deletedinuse: 124
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuse:
% 268.74/269.30  Done
% 268.74/269.30  
% 268.74/269.30  Resimplifying inuseCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------