TSTP Solution File: ITP008+1 by Bliksem---1.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Bliksem---1.12
% Problem  : ITP008+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : bliksem %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 0s
% DateTime : Sat Jul 16 21:40:41 EDT 2022

% Result   : Timeout 300.08s 300.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP008+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.12  % Command  : bliksem %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % DateTime : Fri Jun  3 14:48:06 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.76/1.16  *** allocated 10000 integers for termspace/termends
% 0.76/1.16  *** allocated 10000 integers for clauses
% 0.76/1.16  *** allocated 10000 integers for justifications
% 0.76/1.16  Bliksem 1.12
% 0.76/1.16  
% 0.76/1.16  
% 0.76/1.16  Automatic Strategy Selection
% 0.76/1.16  
% 0.76/1.16  
% 0.76/1.16  Clauses:
% 0.76/1.16  
% 0.76/1.16  { ! s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), Z ), s( X, skol1( X, Y, Z, 
% 0.76/1.16    T ) ) ) ) = s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), T ), s( X, skol1
% 0.76/1.16    ( X, Y, Z, T ) ) ) ), s( tyop_2Emin_2Efun( X, Y ), Z ) = s( 
% 0.76/1.16    tyop_2Emin_2Efun( X, Y ), T ) }.
% 0.76/1.16  { alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, Y ) ), s( tyop_2Emin_2Ebool, X )
% 0.76/1.16     = s( tyop_2Emin_2Ebool, Y ) }.
% 0.76/1.16  { alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, X ) ), s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.76/1.16  { ! alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.76/1.16  { ! alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y ) ), alpha1
% 0.76/1.16    ( X, Y ) }.
% 0.76/1.16  { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) }.
% 0.76/1.16  { s( X, app_2E2( s( tyop_2Emin_2Efun( X, X ), combin_i_2E0 ), s( X, Y ) ) )
% 0.76/1.16     = s( X, Y ) }.
% 0.76/1.16  { s( X, app_2E2( s( tyop_2Emin_2Efun( Y, X ), app_2E2( s( tyop_2Emin_2Efun
% 0.76/1.16    ( X, tyop_2Emin_2Efun( Y, X ) ), combin_k_2E0 ), s( X, Z ) ) ), s( Y, T )
% 0.76/1.16     ) ) = s( X, Z ) }.
% 0.76/1.16  { s( Z, app_2E2( s( tyop_2Emin_2Efun( X, Z ), app_2E2( s( tyop_2Emin_2Efun
% 0.76/1.16    ( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ) )
% 0.76/1.16    , combin_s_2E0 ), s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), T )
% 0.76/1.16     ) ), s( tyop_2Emin_2Efun( X, Y ), U ) ) ), s( X, W ) ) ) = s( Z, app_2E2
% 0.76/1.16    ( s( tyop_2Emin_2Efun( Y, Z ), app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( Y, Z ) ), T ), s( X, W ) ) ), s( Y, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( X, Y ), U ), s( X, W ) ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.76/1.16    ( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.76/1.16    ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s
% 0.76/1.16    ( tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.76/1.16     ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.76/1.16     ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X )
% 0.76/1.16     ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.76/1.16  { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool
% 0.76/1.16    , X ), s( tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) )
% 0.76/1.16    , p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.76/1.16    , Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.76/1.16    , Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X, Y ), s( X, Z ) ) ) )
% 0.76/1.16    , s( X, Y ) = s( X, Z ) }.
% 0.76/1.16  { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X
% 0.76/1.16    , Y ), s( X, Z ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ), s( X, skol2( X, Y ) ) ) ) ), p( s( 
% 0.76/1.16    tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, skol3( X, Y ) ) ) )
% 0.76/1.16     ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) )
% 0.76/1.16     ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.76/1.16    ( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool, 
% 0.76/1.16    tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool, 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ), 
% 0.76/1.16    c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.76/1.16     ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.76/1.16     ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.76/1.16    , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.76/1.16    , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.76/1.16     ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.76/1.16     ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), c_2Ebool_2E_7E_2E0 ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, X ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.76/1.16  { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.76/1.16    , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.76/1.16    , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.76/1.16    , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.76/1.16    , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.76/1.16     ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( 
% 0.76/1.16    tyop_2Emin_2Ebool, Y ) ) }.
% 0.76/1.16  { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X
% 0.76/1.16    , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X, 
% 0.76/1.16    Y ) ) ), s( X, Z ) ) ) ) }.
% 0.76/1.16  { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X
% 0.76/1.16    , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X, Y ) ) ), s( X, Z ) )
% 0.76/1.16     ) ), s( X, Y ) = s( X, Z ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), c_2Ebool_2E_21_2E0 ), s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), c_2Ebool_2E_3F_2E0 ), s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), 
% 0.76/1.16    c_2Epair_2ECURRY_2E1( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( 
% 0.76/1.16    X, tyop_2Emin_2Ebool ) ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun
% 0.76/1.16    ( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ) ), c_2Epair_2ECURRY_2E0 ), s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) )
% 0.76/1.16     ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Erelation_2EWF_2E1( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), Y ) ) ) = s( 
% 0.76/1.16    tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Erelation_2EWF_2E0 ), s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Ebool ) ), Y ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Ewellorder_2Ewellfounded_2E1( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) )
% 0.76/1.16     ) = s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun
% 0.76/1.16    ( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Ewellorder_2Ewellfounded_2E0 ), s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.76/1.16  { s( tyop_2Epair_2Eprod( X, Y ), c_2Epair_2E_2C_2E2( s( X, Z ), s( Y, T ) )
% 0.76/1.16     ) = s( tyop_2Epair_2Eprod( X, Y ), app_2E2( s( tyop_2Emin_2Efun( Y, 
% 0.76/1.16    tyop_2Epair_2Eprod( X, Y ) ), app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( Y, tyop_2Epair_2Eprod( X, Y ) ) ), c_2Epair_2E_2C_2E0 )
% 0.76/1.16    , s( X, Z ) ) ), s( Y, T ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Ebool_2EIN_2E2( s( tyop_2Epair_2Eprod( X, X ), Y
% 0.76/1.16     ), s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool )
% 0.76/1.16    , Z ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X
% 0.76/1.16    , X ), tyop_2Emin_2Efun( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), tyop_2Emin_2Ebool ) ), c_2Ebool_2EIN_2E0 ), s( 
% 0.76/1.16    tyop_2Epair_2Eprod( X, X ), Y ) ) ), s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Z ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Eset__relation_2Estrict_2E1( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( 
% 0.76/1.16    X, X ), tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ) ), c_2Eset__relation_2Estrict_2E0 ), s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) )
% 0.76/1.16     ) }.
% 0.76/1.16  { s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Ewellorder_2Ewellorder__REP_2E1( s( tyop_2Ewellorder_2Ewellorder( X )
% 0.76/1.16    , Y ) ) ) = s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Ewellorder_2Ewellorder( X ), tyop_2Emin_2Efun( tyop_2Epair_2Eprod( 
% 0.76/1.16    X, X ), tyop_2Emin_2Ebool ) ), c_2Ewellorder_2Ewellorder__REP_2E0 ), s( 
% 0.76/1.16    tyop_2Ewellorder_2Ewellorder( X ), Y ) ) ) }.
% 0.76/1.16  { s( tyop_2Epair_2Eprod( X, X ), c_2Epair_2E_2C_2E2( s( X, Y ), s( X, Z ) )
% 0.76/1.16     ) = s( tyop_2Epair_2Eprod( X, X ), app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Epair_2Eprod( X, X ) ), app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( X, tyop_2Epair_2Eprod( X, X ) ) ), c_2Epair_2E_2C_2E0 )
% 0.76/1.16    , s( X, Y ) ) ), s( X, Z ) ) ) }.
% 0.76/1.16  { s( Z, c_2Epair_2ECURRY_2E3( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, Y
% 0.76/1.16     ), Z ), T ), s( X, U ), s( Y, W ) ) ) = s( Z, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( Y, Z ), app_2E2( s( tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( Y, Z ) ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, Y ), Z ), tyop_2Emin_2Efun( X, 
% 0.76/1.16    tyop_2Emin_2Efun( Y, Z ) ) ), c_2Epair_2ECURRY_2E0 ), s( tyop_2Emin_2Efun
% 0.76/1.16    ( tyop_2Epair_2Eprod( X, Y ), Z ), T ) ) ), s( X, U ) ) ), s( Y, W ) ) )
% 0.76/1.16     }.
% 0.76/1.16  { s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), Z ), s( X, T ) ) ) = s( Y, 
% 0.76/1.16    app_2E2( s( tyop_2Emin_2Efun( X, Y ), Z ), s( X, T ) ) ) }.
% 0.76/1.16  { s( Z, c_2Epair_2ECURRY_2E3( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, Y
% 0.76/1.16     ), Z ), T ), s( X, U ), s( Y, W ) ) ) = s( Z, app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, Y ), Z ), T ), s( 
% 0.76/1.16    tyop_2Epair_2Eprod( X, Y ), c_2Epair_2E_2C_2E2( s( X, U ), s( Y, W ) ) )
% 0.76/1.16     ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, c_2Ewellorder_2Ewellfounded_2E1( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) )
% 0.76/1.16     ) = s( tyop_2Emin_2Ebool, c_2Erelation_2EWF_2E1( s( tyop_2Emin_2Efun( X
% 0.76/1.16    , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Epair_2ECURRY_2E1( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), Y ) )
% 0.76/1.16     ) ) ) }.
% 0.76/1.16  { ! s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod
% 0.76/1.16    ( X, X ), tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Ewellorder_2Ewellorder( X ), tyop_2Emin_2Efun( tyop_2Epair_2Eprod( 
% 0.76/1.16    X, X ), tyop_2Emin_2Ebool ) ), Y ), s( tyop_2Ewellorder_2Ewellorder( X )
% 0.76/1.16    , skol4( X, Y ) ) ) ), s( tyop_2Epair_2Eprod( X, X ), skol6( X, Y ) ) ) )
% 0.76/1.16     = s( tyop_2Emin_2Ebool, c_2Ebool_2EIN_2E2( s( tyop_2Epair_2Eprod( X, X )
% 0.76/1.16    , skol6( X, Y ) ), s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( X, X ), 
% 0.76/1.16    tyop_2Emin_2Ebool ), c_2Eset__relation_2Estrict_2E1( s( tyop_2Emin_2Efun
% 0.76/1.16    ( tyop_2Epair_2Eprod( X, X ), tyop_2Emin_2Ebool ), 
% 0.76/1.16    c_2Ewellorder_2Ewellorder__REP_2E1( s( tyop_2Ewellorder_2Ewellorder( X )
% 0.76/1.16    , skol4( X, Y ) ) ) ) ) ) ) ), p( s( tyop_2Emin_2Ebool, 
% 0.76/1.16    c_2Ewellorder_2Ewellfounded_2E1( s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod
% 0.76/1.16    ( X, X ), tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( 
% 0.76/1.16    tyop_2Ewellorder_2Ewellorder( X ), tyop_2Emin_2Efun( tyop_2Epair_2Eprod( 
% 0.76/1.16    X, X ), tyop_2Emin_2Ebool ) ), Y ), s( tyop_2Ewellorder_2Ewellorder( X )
% 0.76/1.16    , Z ) ) ) ) ) ) }.
% 0.76/1.16  { s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( skol5, 
% 0.76/1.16    tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( skol5, 
% 0.76/1.16    tyop_2Emin_2Efun( skol5, tyop_2Emin_2Ebool ) ), app_2E2( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Ewellorder_2Ewellorder( skol5 ), tyop_2Emin_2Efun
% 0.76/1.16    ( skol5, tyop_2Emin_2Efun( skol5, tyop_2Emin_2Ebool ) ) ), skol7 ), s( 
% 0.76/1.16    tyop_2Ewellorder_2Ewellorder( skol5 ), X ) ) ), s( skol5, Y ) ) ), s( 
% 0.76/1.16    skol5, Z ) ) ) = s( tyop_2Emin_2Ebool, c_2Ebool_2EIN_2E2( s( 
% 0.76/1.16    tyop_2Epair_2Eprod( skol5, skol5 ), c_2Epair_2E_2C_2E2( s( skol5, Y ), s
% 0.76/1.16    ( skol5, Z ) ) ), s( tyop_2Emin_2Efun( tyop_2Epair_2Eprod( skol5, skol5 )
% 0.76/1.16    , tyop_2Emin_2Ebool ), c_2Eset__relation_2Estrict_2E1( s( 
% 0.76/1.16    tyop_2Emin_2Efun( tyop_2Epair_2Eprod( skol5, skol5 ), tyop_2Emin_2Ebool )
% 0.76/1.16    , c_2Ewellorder_2Ewellorder__REP_2E1( s( tyop_2Ewellorder_2Ewellorder( 
% 0.76/1.16    skol5 ), X ) ) ) ) ) ) ) }.
% 0.76/1.16  { ! p( s( Cputime limit exceeded (core dumped)  (core dumped)
% 300.08/300.43  Bliksem ended
% 300.08/300.44  Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------