TSTP Solution File: ITP001+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.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 21:40:32 EDT 2022
% Result : Theorem 0.73s 1.12s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.13/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Thu Jun 2 21:59:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.73/1.12 *** allocated 10000 integers for termspace/termends
% 0.73/1.12 *** allocated 10000 integers for clauses
% 0.73/1.12 *** allocated 10000 integers for justifications
% 0.73/1.12 Bliksem 1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Automatic Strategy Selection
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Clauses:
% 0.73/1.12
% 0.73/1.12 { ! s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), Z ), s( X, skol1( X, Y, Z,
% 0.73/1.12 T ) ) ) ) = s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), T ), s( X, skol1
% 0.73/1.12 ( X, Y, Z, T ) ) ) ), s( tyop_2Emin_2Efun( X, Y ), Z ) = s(
% 0.73/1.12 tyop_2Emin_2Efun( X, Y ), T ) }.
% 0.73/1.12 { alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, Y ) ), s( tyop_2Emin_2Ebool, X )
% 0.73/1.12 = s( tyop_2Emin_2Ebool, Y ) }.
% 0.73/1.12 { alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, X ) ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.73/1.12 { ! alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 { ! alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y ) ), alpha1
% 0.73/1.12 ( X, Y ) }.
% 0.73/1.12 { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) ) }.
% 0.73/1.12 { s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) }.
% 0.73/1.12 { s( X, app_2E2( s( tyop_2Emin_2Efun( X, X ), combin_i_2E0 ), s( X, Y ) ) )
% 0.73/1.12 = s( X, Y ) }.
% 0.73/1.12 { s( X, app_2E2( s( tyop_2Emin_2Efun( Y, X ), app_2E2( s( tyop_2Emin_2Efun
% 0.73/1.12 ( X, tyop_2Emin_2Efun( Y, X ) ), combin_k_2E0 ), s( X, Z ) ) ), s( Y, T )
% 0.73/1.12 ) ) = s( X, Z ) }.
% 0.73/1.12 { s( Z, app_2E2( s( tyop_2Emin_2Efun( X, Z ), app_2E2( s( tyop_2Emin_2Efun
% 0.73/1.12 ( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ),
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ) )
% 0.73/1.12 , combin_s_2E0 ), s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), T )
% 0.73/1.12 ) ), s( tyop_2Emin_2Efun( X, Y ), U ) ) ), s( X, W ) ) ) = s( Z, app_2E2
% 0.73/1.12 ( s( tyop_2Emin_2Efun( Y, Z ), app_2E2( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Efun( Y, Z ) ), T ), s( X, W ) ) ), s( Y, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, Y ), U ), s( X, W ) ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.73/1.12 ( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.73/1.12 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s
% 0.73/1.12 ( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X )
% 0.73/1.12 ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool
% 0.73/1.12 , X ), s( tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) )
% 0.73/1.12 , p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X, Y ), s( X, Z ) ) ) )
% 0.73/1.12 , s( X, Y ) = s( X, Z ) }.
% 0.73/1.12 { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X
% 0.73/1.12 , Y ), s( X, Z ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ), s( X, skol2( X, Y ) ) ) ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, skol3( X, Y ) ) ) )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ), p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) )
% 0.73/1.12 ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.73/1.12 ( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.73/1.12 c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.73/1.12 ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.73/1.12 ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.73/1.12 ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ),
% 0.73/1.12 c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), c_2Ebool_2E_7E_2E0 ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, X ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.73/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.73/1.12 ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X
% 0.73/1.12 , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X,
% 0.73/1.12 Y ) ) ), s( X, Z ) ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X, Y ) ) ), s( X, Z ) )
% 0.73/1.12 ) ), s( X, Y ) = s( X, Z ) }.
% 0.73/1.12 { s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.73/1.12 tyop_2Emin_2Ebool ), c_2Ebool_2E_21_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.73/1.12 { s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.73/1.12 tyop_2Emin_2Ebool ), c_2Ebool_2E_3F_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) = s( tyop_2Emin_2Ebool, X ) }.
% 0.73/1.12 { ! s( tyop_2Emin_2Ebool, skol4 ) = s( tyop_2Emin_2Ebool, skol4 ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12
% 0.73/1.12 percentage equality = 0.164835, percentage horn = 0.777778
% 0.73/1.12 This is a problem with some equality
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Options Used:
% 0.73/1.12
% 0.73/1.12 useres = 1
% 0.73/1.12 useparamod = 1
% 0.73/1.12 useeqrefl = 1
% 0.73/1.12 useeqfact = 1
% 0.73/1.12 usefactor = 1
% 0.73/1.12 usesimpsplitting = 0
% 0.73/1.12 usesimpdemod = 5
% 0.73/1.12 usesimpres = 3
% 0.73/1.12
% 0.73/1.12 resimpinuse = 1000
% 0.73/1.12 resimpclauses = 20000
% 0.73/1.12 substype = eqrewr
% 0.73/1.12 backwardsubs = 1
% 0.73/1.12 selectoldest = 5
% 0.73/1.12
% 0.73/1.12 litorderings [0] = split
% 0.73/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.12
% 0.73/1.12 termordering = kbo
% 0.73/1.12
% 0.73/1.12 litapriori = 0
% 0.73/1.12 termapriori = 1
% 0.73/1.12 litaposteriori = 0
% 0.73/1.12 termaposteriori = 0
% 0.73/1.12 demodaposteriori = 0
% 0.73/1.12 ordereqreflfact = 0
% 0.73/1.12
% 0.73/1.12 litselect = negord
% 0.73/1.12
% 0.73/1.12 maxweight = 15
% 0.73/1.12 maxdepth = 30000
% 0.73/1.12 maxlength = 115
% 0.73/1.12 maxnrvars = 195
% 0.73/1.12 excuselevel = 1
% 0.73/1.12 increasemaxweight = 1
% 0.73/1.12
% 0.73/1.12 maxselected = 10000000
% 0.73/1.12 maxnrclauses = 10000000
% 0.73/1.12
% 0.73/1.12 showgenerated = 0
% 0.73/1.12 showkept = 0
% 0.73/1.12 showselected = 0
% 0.73/1.12 showdeleted = 0
% 0.73/1.12 showresimp = 1
% 0.73/1.12 showstatus = 2000
% 0.73/1.12
% 0.73/1.12 prologoutput = 0
% 0.73/1.12 nrgoals = 5000000
% 0.73/1.12 totalproof = 1
% 0.73/1.12
% 0.73/1.12 Symbols occurring in the translation:
% 0.73/1.12
% 0.73/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.12 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.73/1.12 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 0.73/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.12 tyop_2Emin_2Efun [40, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.73/1.12 s [41, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.73/1.12 app_2E2 [42, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.73/1.12 tyop_2Emin_2Ebool [45, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.73/1.12 p [46, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2ET_2E0 [47, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2EF_2E0 [48, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.73/1.12 combin_i_2E0 [51, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.73/1.12 combin_k_2E0 [53, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.73/1.12 combin_s_2E0 [55, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_2F_5C_2E2 [56, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E2 [57, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_7E_2E1 [58, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E2 [59, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.73/1.12 c_2Emin_2E_3D_2E2 [60, 2] (w:1, o:74, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_21_2E1 [61, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_3F_2E1 [63, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_2F_5C_2E0 [66, 0] (w:1, o:27, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E0 [67, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_7E_2E0 [68, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E0 [69, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.73/1.12 c_2Emin_2E_3D_2E0 [70, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_21_2E0 [71, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.73/1.12 c_2Ebool_2E_3F_2E0 [72, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.12 alpha1 [73, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.73/1.12 skol1 [74, 4] (w:1, o:77, a:1, s:1, b:1),
% 0.73/1.12 skol2 [75, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.73/1.12 skol3 [76, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.73/1.12 skol4 [77, 0] (w:1, o:17, a:1, s:1, b:1).
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Starting Search:
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Bliksems!, er is een bewijs:
% 0.73/1.12 % SZS status Theorem
% 0.73/1.12 % SZS output start Refutation
% 0.73/1.12
% 0.73/1.12 (6) {G0,W4,D3,L1,V0,M1} I { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.73/1.12 }.
% 0.73/1.12 (44) {G1,W0,D0,L0,V0,M0} I;r(6) { }.
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 % SZS output end Refutation
% 0.73/1.12 found a proof!
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Unprocessed initial clauses:
% 0.73/1.12
% 0.73/1.12 (46) {G0,W42,D6,L2,V4,M2} { ! s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ),
% 0.73/1.12 Z ), s( X, skol1( X, Y, Z, T ) ) ) ) = s( Y, app_2E2( s( tyop_2Emin_2Efun
% 0.73/1.12 ( X, Y ), T ), s( X, skol1( X, Y, Z, T ) ) ) ), s( tyop_2Emin_2Efun( X, Y
% 0.73/1.12 ), Z ) = s( tyop_2Emin_2Efun( X, Y ), T ) }.
% 0.73/1.12 (47) {G0,W14,D3,L3,V2,M3} { alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.73/1.12 , s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.73/1.12 (48) {G0,W14,D3,L3,V2,M3} { alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, X )
% 0.73/1.12 ), s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.73/1.12 (49) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, X )
% 0.73/1.12 ) }.
% 0.73/1.12 (50) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) }.
% 0.73/1.12 (51) {G0,W11,D3,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ), alpha1( X, Y ) }.
% 0.73/1.12 (52) {G0,W4,D3,L1,V0,M1} { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.73/1.12 }.
% 0.73/1.12 (53) {G0,W4,D3,L1,V0,M1} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) )
% 0.73/1.12 }.
% 0.73/1.12 (54) {G0,W14,D3,L2,V1,M2} { s( tyop_2Emin_2Ebool, X ) = s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ), s( tyop_2Emin_2Ebool, X ) = s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) }.
% 0.73/1.12 (55) {G0,W15,D6,L1,V2,M1} { s( X, app_2E2( s( tyop_2Emin_2Efun( X, X ),
% 0.73/1.12 combin_i_2E0 ), s( X, Y ) ) ) = s( X, Y ) }.
% 0.73/1.12 (56) {G0,W25,D9,L1,V4,M1} { s( X, app_2E2( s( tyop_2Emin_2Efun( Y, X ),
% 0.73/1.12 app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, X ) ), combin_k_2E0
% 0.73/1.12 ), s( X, Z ) ) ), s( Y, T ) ) ) = s( X, Z ) }.
% 0.73/1.12 (57) {G0,W77,D12,L1,V6,M1} { s( Z, app_2E2( s( tyop_2Emin_2Efun( X, Z ),
% 0.73/1.12 app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun
% 0.73/1.12 ( X, Z ) ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Efun( Y, Z ) ), tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ),
% 0.73/1.12 tyop_2Emin_2Efun( X, Z ) ) ), combin_s_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Efun( Y, Z ) ), T ) ) ), s( tyop_2Emin_2Efun( X, Y ), U ) ) )
% 0.73/1.12 , s( X, W ) ) ) = s( Z, app_2E2( s( tyop_2Emin_2Efun( Y, Z ), app_2E2( s
% 0.73/1.12 ( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), T ), s( X, W ) ) ), s
% 0.73/1.12 ( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), U ), s( X, W ) ) ) ) ) }.
% 0.73/1.12 (58) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 (59) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 (60) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2
% 0.73/1.12 ( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (61) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.73/1.12 }.
% 0.73/1.12 (62) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (63) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (64) {G0,W11,D5,L2,V1,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1
% 0.73/1.12 ( s( tyop_2Emin_2Ebool, X ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 (65) {G0,W11,D5,L2,V1,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X ) ) ) )
% 0.73/1.12 }.
% 0.73/1.12 (66) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y
% 0.73/1.12 ) ) }.
% 0.73/1.12 (67) {G0,W14,D5,L2,V2,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.73/1.12 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (68) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.73/1.12 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (69) {G0,W17,D5,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(
% 0.73/1.12 s( X, Y ), s( X, Z ) ) ) ), s( X, Y ) = s( X, Z ) }.
% 0.73/1.12 (70) {G0,W17,D5,L2,V3,M2} { ! s( X, Y ) = s( X, Z ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X, Y ), s( X, Z ) ) ) ) }.
% 0.73/1.12 (71) {G0,W21,D6,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1
% 0.73/1.12 ( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.73/1.12 Y ), s( X, Z ) ) ) ) }.
% 0.73/1.12 (72) {G0,W23,D6,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, skol2( X, Y ) ) ) )
% 0.73/1.12 ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.73/1.12 (73) {G0,W23,D6,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1
% 0.73/1.12 ( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.73/1.12 Y ), s( X, skol3( X, Y ) ) ) ) ) }.
% 0.73/1.12 (74) {G0,W21,D6,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.73/1.12 (75) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (76) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) )
% 0.73/1.12 }.
% 0.73/1.12 (77) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.73/1.12 }.
% 0.73/1.12 (78) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (79) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.73/1.12 c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (80) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ),
% 0.73/1.12 p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 (81) {G0,W16,D6,L2,V1,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) )
% 0.73/1.12 ) }.
% 0.73/1.12 (82) {G0,W16,D6,L2,V1,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ),
% 0.73/1.12 c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ) ), ! p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, X ) ) }.
% 0.73/1.12 (83) {G0,W26,D9,L2,V2,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (84) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.73/1.12 c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.73/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.73/1.12 (85) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.73/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.73/1.12 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X
% 0.73/1.12 ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.73/1.12 (86) {G0,W29,D9,L2,V3,M2} { ! s( X, Y ) = s( X, Z ), p( s(
% 0.73/1.12 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.73/1.12 app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.73/1.12 ), c_2Emin_2E_3D_2E0 ), s( X, Y ) ) ), s( X, Z ) ) ) ) }.
% 0.73/1.12 (87) {G0,W29,D9,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X
% 0.73/1.12 , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X,
% 0.73/1.12 Y ) ) ), s( X, Z ) ) ) ), s( X, Y ) = s( X, Z ) }.
% 0.73/1.12 (88) {G0,W24,D7,L1,V2,M1} { s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool
% 0.73/1.12 , app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.73/1.12 , tyop_2Emin_2Ebool ), c_2Ebool_2E_21_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.73/1.12 (89) {G0,W24,D7,L1,V2,M1} { s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s(
% 0.73/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool
% 0.73/1.12 , app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.73/1.12 , tyop_2Emin_2Ebool ), c_2Ebool_2E_3F_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.73/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.73/1.12 (90) {G0,W11,D3,L2,V1,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 )
% 0.73/1.12 ), s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, X ) }.
% 0.73/1.12 (91) {G0,W11,D3,L2,V0,M2} { ! s( tyop_2Emin_2Ebool, skol4 ) = s(
% 0.73/1.12 tyop_2Emin_2Ebool, skol4 ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.73/1.12 }.
% 0.73/1.12 (92) {G0,W4,D3,L1,V0,M1} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.73/1.12 }.
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Total Proof:
% 0.73/1.12
% 0.73/1.12 subsumption: (6) {G0,W4,D3,L1,V0,M1} I { p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 parent0: (52) {G0,W4,D3,L1,V0,M1} { p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 0 ==> 0
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 resolution: (120) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 parent0[0]: (92) {G0,W4,D3,L1,V0,M1} { ! p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 parent1[0]: (6) {G0,W4,D3,L1,V0,M1} I { p( s( tyop_2Emin_2Ebool,
% 0.73/1.12 c_2Ebool_2ET_2E0 ) ) }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 substitution1:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 subsumption: (44) {G1,W0,D0,L0,V0,M0} I;r(6) { }.
% 0.73/1.12 parent0: (120) {G1,W0,D0,L0,V0,M0} { }.
% 0.73/1.12 substitution0:
% 0.73/1.12 end
% 0.73/1.12 permutation0:
% 0.73/1.12 end
% 0.73/1.12
% 0.73/1.12 Proof check complete!
% 0.73/1.12
% 0.73/1.12 Memory use:
% 0.73/1.12
% 0.73/1.12 space for terms: 2689
% 0.73/1.12 space for clauses: 5104
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 clauses generated: 47
% 0.73/1.12 clauses kept: 45
% 0.73/1.12 clauses selected: 0
% 0.73/1.12 clauses deleted: 0
% 0.73/1.12 clauses inuse deleted: 0
% 0.73/1.12
% 0.73/1.12 subsentry: 132
% 0.73/1.12 literals s-matched: 107
% 0.73/1.12 literals matched: 82
% 0.73/1.12 full subsumption: 0
% 0.73/1.12
% 0.73/1.12 checksum: -1527160817
% 0.73/1.12
% 0.73/1.12
% 0.73/1.12 Bliksem ended
%------------------------------------------------------------------------------