TSTP Solution File: ITP018+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.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 21:40:54 EDT 2022
% Result : Theorem 0.45s 1.12s
% Output : Refutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Fri Jun 3 23:45:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.45/1.12 *** allocated 10000 integers for termspace/termends
% 0.45/1.12 *** allocated 10000 integers for clauses
% 0.45/1.12 *** allocated 10000 integers for justifications
% 0.45/1.12 Bliksem 1.12
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Automatic Strategy Selection
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Clauses:
% 0.45/1.12
% 0.45/1.12 { ! s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), Z ), s( X, skol1( X, Y, Z,
% 0.45/1.12 T ) ) ) ) = s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), T ), s( X, skol1
% 0.45/1.12 ( X, Y, Z, T ) ) ) ), s( tyop_2Emin_2Efun( X, Y ), Z ) = s(
% 0.45/1.12 tyop_2Emin_2Efun( X, Y ), T ) }.
% 0.45/1.12 { alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, Y ) ), s( tyop_2Emin_2Ebool, X )
% 0.45/1.12 = s( tyop_2Emin_2Ebool, Y ) }.
% 0.45/1.12 { alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, X ) ), s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.45/1.12 { ! alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 { ! alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y ) ), alpha1
% 0.45/1.12 ( X, Y ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) ) }.
% 0.45/1.12 { s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) }.
% 0.45/1.12 { s( X, app_2E2( s( tyop_2Emin_2Efun( X, X ), combin_i_2E0 ), s( X, Y ) ) )
% 0.45/1.12 = s( X, Y ) }.
% 0.45/1.12 { s( X, app_2E2( s( tyop_2Emin_2Efun( Y, X ), app_2E2( s( tyop_2Emin_2Efun
% 0.45/1.12 ( X, tyop_2Emin_2Efun( Y, X ) ), combin_k_2E0 ), s( X, Z ) ) ), s( Y, T )
% 0.45/1.12 ) ) = s( X, Z ) }.
% 0.45/1.12 { s( Z, app_2E2( s( tyop_2Emin_2Efun( X, Z ), app_2E2( s( tyop_2Emin_2Efun
% 0.45/1.12 ( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ),
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun( X, Z ) ) )
% 0.45/1.12 , combin_s_2E0 ), s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), T )
% 0.45/1.12 ) ), s( tyop_2Emin_2Efun( X, Y ), U ) ) ), s( X, W ) ) ) = s( Z, app_2E2
% 0.45/1.12 ( s( tyop_2Emin_2Efun( Y, Z ), app_2E2( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Efun( Y, Z ) ), T ), s( X, W ) ) ), s( Y, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( X, Y ), U ), s( X, W ) ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.45/1.12 ( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.45/1.12 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s
% 0.45/1.12 ( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X )
% 0.45/1.12 ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool
% 0.45/1.12 , X ), s( tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) )
% 0.45/1.12 , p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.45/1.12 , Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.45/1.12 , Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X, Y ), s( X, Z ) ) ) )
% 0.45/1.12 , s( X, Y ) = s( X, Z ) }.
% 0.45/1.12 { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X
% 0.45/1.12 , Y ), s( X, Z ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ), s( X, skol2( X, Y ) ) ) ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, skol3( X, Y ) ) ) )
% 0.45/1.12 ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ), p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) )
% 0.45/1.12 ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s
% 0.45/1.12 ( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.45/1.12 c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.45/1.12 ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.45/1.12 ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.12 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.12 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.45/1.12 ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ),
% 0.45/1.12 c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), c_2Ebool_2E_7E_2E0 ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, X ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.45/1.12 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.45/1.12 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.12 tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool
% 0.45/1.12 ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 { ! s( X, Y ) = s( X, Z ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X
% 0.45/1.12 , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X,
% 0.45/1.12 Y ) ) ), s( X, Z ) ) ) ) }.
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X
% 0.45/1.12 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X, Y ) ) ), s( X, Z ) )
% 0.45/1.12 ) ), s( X, Y ) = s( X, Z ) }.
% 0.45/1.12 { s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.45/1.12 tyop_2Emin_2Ebool ), c_2Ebool_2E_21_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.45/1.12 { s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.45/1.12 tyop_2Emin_2Ebool ), c_2Ebool_2E_3F_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.45/1.12 { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat( X,
% 0.45/1.12 Y ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X, Y ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E0 ), s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) = s( tyop_2Erealax_2Ereal,
% 0.45/1.12 app_2E2( s( tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 tyop_2Erealax_2Ereal ), c_2Ebinary__ieee_2Efloat__to__real_2E0 ), s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat( X,
% 0.45/1.12 Y ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X, Y ), app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E0 ), s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.12 tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Ebool_2Eitself(
% 0.45/1.12 tyop_2Epair_2Eprod( X, Y ) ), tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__plus__min_2E0 ), s( tyop_2Ebool_2Eitself(
% 0.45/1.12 tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) = s( tyop_2Erealax_2Ereal,
% 0.45/1.12 app_2E2( s( tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.12 tyop_2Erealax_2Ereal ), c_2Ebinary__ieee_2Efloat__to__real_2E0 ), s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s(
% 0.45/1.12 tyop_2Erealax_2Ereal, X ) ) ) = s( tyop_2Erealax_2Ereal, app_2E2( s(
% 0.45/1.12 tyop_2Emin_2Efun( tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal ),
% 0.45/1.12 c_2Erealax_2Ereal__neg_2E0 ), s( tyop_2Erealax_2Ereal, X ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s(
% 0.45/1.12 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) = s(
% 0.45/1.12 tyop_2Erealax_2Ereal, app_2E2( s( tyop_2Emin_2Efun( tyop_2Ebool_2Eitself
% 0.45/1.12 ( tyop_2Epair_2Eprod( X, Y ) ), tyop_2Erealax_2Ereal ),
% 0.45/1.12 c_2Ebinary__ieee_2Eulp_2E0 ), s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod
% 0.45/1.12 ( X, Y ) ), Z ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), c_2Ebinary__ieee_2Efloat__negate_2E1
% 0.45/1.12 ( s( tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) = s(
% 0.45/1.12 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.12 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.12 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.12 { s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s(
% 0.45/1.12 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( X, Y ) ),
% 0.45/1.12 c_2Ebool_2Ethe__value_2E0 ) ) ) = s( tyop_2Erealax_2Ereal,
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.12 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) }.
% 0.45/1.12 { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.45/1.12 { ! s( X, Y ) = s( X, Y ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }
% 0.45/1.12 .
% 0.45/1.12 { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ), s( X, Y ) = s( X, Y ) }
% 0.45/1.12 .
% 0.45/1.12 { ! s( tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s(
% 0.45/1.12 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.12 ( tyop_2Epair_2Eprod( skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) )
% 0.45/1.12 ) = s( tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( skol4, skol5 ),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat(
% 0.45/1.12 skol4, skol5 ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s(
% 0.45/1.12 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( skol4, skol5 ) ),
% 0.45/1.12 c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) }.
% 0.45/1.12
% 0.45/1.12 percentage equality = 0.234694, percentage horn = 0.807692
% 0.45/1.12 This is a problem with some equality
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Options Used:
% 0.45/1.12
% 0.45/1.12 useres = 1
% 0.45/1.12 useparamod = 1
% 0.45/1.12 useeqrefl = 1
% 0.45/1.12 useeqfact = 1
% 0.45/1.12 usefactor = 1
% 0.45/1.12 usesimpsplitting = 0
% 0.45/1.12 usesimpdemod = 5
% 0.45/1.12 usesimpres = 3
% 0.45/1.12
% 0.45/1.12 resimpinuse = 1000
% 0.45/1.12 resimpclauses = 20000
% 0.45/1.12 substype = eqrewr
% 0.45/1.12 backwardsubs = 1
% 0.45/1.12 selectoldest = 5
% 0.45/1.12
% 0.45/1.12 litorderings [0] = split
% 0.45/1.12 litorderings [1] = extend the termordering, first sorting on arguments
% 0.45/1.12
% 0.45/1.12 termordering = kbo
% 0.45/1.12
% 0.45/1.12 litapriori = 0
% 0.45/1.12 termapriori = 1
% 0.45/1.12 litaposteriori = 0
% 0.45/1.12 termaposteriori = 0
% 0.45/1.12 demodaposteriori = 0
% 0.45/1.12 ordereqreflfact = 0
% 0.45/1.12
% 0.45/1.12 litselect = negord
% 0.45/1.12
% 0.45/1.12 maxweight = 15
% 0.45/1.12 maxdepth = 30000
% 0.45/1.12 maxlength = 115
% 0.45/1.12 maxnrvars = 195
% 0.45/1.12 excuselevel = 1
% 0.45/1.12 increasemaxweight = 1
% 0.45/1.12
% 0.45/1.12 maxselected = 10000000
% 0.45/1.12 maxnrclauses = 10000000
% 0.45/1.12
% 0.45/1.12 showgenerated = 0
% 0.45/1.12 showkept = 0
% 0.45/1.12 showselected = 0
% 0.45/1.12 showdeleted = 0
% 0.45/1.12 showresimp = 1
% 0.45/1.12 showstatus = 2000
% 0.45/1.12
% 0.45/1.12 prologoutput = 0
% 0.45/1.12 nrgoals = 5000000
% 0.45/1.12 totalproof = 1
% 0.45/1.12
% 0.45/1.12 Symbols occurring in the translation:
% 0.45/1.12
% 0.45/1.12 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.45/1.12 . [1, 2] (w:1, o:59, a:1, s:1, b:0),
% 0.45/1.12 ! [4, 1] (w:0, o:44, a:1, s:1, b:0),
% 0.45/1.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.45/1.12 tyop_2Emin_2Efun [40, 2] (w:1, o:86, a:1, s:1, b:0),
% 0.45/1.12 s [41, 2] (w:1, o:83, a:1, s:1, b:0),
% 0.45/1.12 app_2E2 [42, 2] (w:1, o:87, a:1, s:1, b:0),
% 0.45/1.12 tyop_2Emin_2Ebool [45, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.45/1.12 p [46, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2ET_2E0 [47, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2EF_2E0 [48, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.45/1.12 combin_i_2E0 [51, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.45/1.12 combin_k_2E0 [53, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.45/1.12 combin_s_2E0 [55, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_2F_5C_2E2 [56, 2] (w:1, o:88, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_5C_2F_2E2 [57, 2] (w:1, o:89, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_7E_2E1 [58, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.45/1.12 c_2Emin_2E_3D_3D_3E_2E2 [59, 2] (w:1, o:91, a:1, s:1, b:0),
% 0.45/1.12 c_2Emin_2E_3D_2E2 [60, 2] (w:1, o:90, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_21_2E1 [61, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_3F_2E1 [63, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_2F_5C_2E0 [66, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_5C_2F_2E0 [67, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_7E_2E0 [68, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.45/1.12 c_2Emin_2E_3D_3D_3E_2E0 [69, 0] (w:1, o:32, a:1, s:1, b:0),
% 0.45/1.12 c_2Emin_2E_3D_2E0 [70, 0] (w:1, o:31, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_21_2E0 [71, 0] (w:1, o:33, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2E_3F_2E0 [72, 0] (w:1, o:34, a:1, s:1, b:0),
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat [73, 2] (w:1, o:92, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E1 [74, 1] (w:1, o:53, a:1, s:1, b:
% 0.45/1.12 0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__negate_2E0 [75, 0] (w:1, o:35, a:1, s:1, b:
% 0.45/1.12 0),
% 0.45/1.12 tyop_2Erealax_2Ereal [76, 0] (w:1, o:36, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__to__real_2E1 [77, 1] (w:1, o:54, a:1, s:1
% 0.45/1.12 , b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__to__real_2E0 [78, 0] (w:1, o:37, a:1, s:1
% 0.45/1.12 , b:0),
% 0.45/1.12 tyop_2Epair_2Eprod [81, 2] (w:1, o:93, a:1, s:1, b:0),
% 0.45/1.12 tyop_2Ebool_2Eitself [82, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__plus__min_2E1 [83, 1] (w:1, o:56, a:1, s:1
% 0.45/1.12 , b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__plus__min_2E0 [84, 0] (w:1, o:40, a:1, s:1
% 0.45/1.12 , b:0),
% 0.45/1.12 c_2Erealax_2Ereal__neg_2E1 [85, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.45/1.12 c_2Erealax_2Ereal__neg_2E0 [86, 0] (w:1, o:41, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Eulp_2E1 [87, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebinary__ieee_2Eulp_2E0 [88, 0] (w:1, o:42, a:1, s:1, b:0),
% 0.45/1.12 c_2Ebool_2Ethe__value_2E0 [89, 0] (w:1, o:43, a:1, s:1, b:0),
% 0.45/1.12 alpha1 [90, 2] (w:1, o:94, a:1, s:1, b:1),
% 0.45/1.12 skol1 [91, 4] (w:1, o:95, a:1, s:1, b:1),
% 0.45/1.12 skol2 [92, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.45/1.12 skol3 [93, 2] (w:1, o:85, a:1, s:1, b:1),
% 0.45/1.12 skol4 [94, 0] (w:1, o:17, a:1, s:1, b:1),
% 0.45/1.12 skol5 [95, 0] (w:1, o:18, a:1, s:1, b:1).
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Starting Search:
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Bliksems!, er is een bewijs:
% 0.45/1.12 % SZS status Theorem
% 0.45/1.12 % SZS output start Refutation
% 0.45/1.12
% 0.45/1.12 (49) {G0,W25,D8,L1,V3,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), c_2Ebinary__ieee_2Efloat__negate_2E1( s(
% 0.45/1.12 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) ==> s(
% 0.45/1.12 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.12 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.12 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.12 (50) {G0,W24,D9,L1,V2,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.12 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.12 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.12 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ==> s(
% 0.45/1.12 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.12 ( tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) }.
% 0.45/1.12 (51) {G1,W0,D0,L0,V0,M0} I;d(49);d(50);q { }.
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 % SZS output end Refutation
% 0.45/1.12 found a proof!
% 0.45/1.12
% 0.45/1.12
% 0.45/1.12 Unprocessed initial clauses:
% 0.45/1.12
% 0.45/1.12 (53) {G0,W42,D6,L2,V4,M2} { ! s( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ),
% 0.45/1.12 Z ), s( X, skol1( X, Y, Z, T ) ) ) ) = s( Y, app_2E2( s( tyop_2Emin_2Efun
% 0.45/1.12 ( X, Y ), T ), s( X, skol1( X, Y, Z, T ) ) ) ), s( tyop_2Emin_2Efun( X, Y
% 0.45/1.12 ), Z ) = s( tyop_2Emin_2Efun( X, Y ), T ) }.
% 0.45/1.12 (54) {G0,W14,D3,L3,V2,M3} { alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.45/1.12 , s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.45/1.12 (55) {G0,W14,D3,L3,V2,M3} { alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, X )
% 0.45/1.12 ), s( tyop_2Emin_2Ebool, X ) = s( tyop_2Emin_2Ebool, Y ) }.
% 0.45/1.12 (56) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), p( s( tyop_2Emin_2Ebool, X )
% 0.45/1.12 ) }.
% 0.45/1.12 (57) {G0,W7,D3,L2,V2,M2} { ! alpha1( X, Y ), ! p( s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) }.
% 0.45/1.12 (58) {G0,W11,D3,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ), alpha1( X, Y ) }.
% 0.45/1.12 (59) {G0,W4,D3,L1,V0,M1} { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.45/1.12 }.
% 0.45/1.12 (60) {G0,W4,D3,L1,V0,M1} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) )
% 0.45/1.12 }.
% 0.45/1.12 (61) {G0,W14,D3,L2,V1,M2} { s( tyop_2Emin_2Ebool, X ) = s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ), s( tyop_2Emin_2Ebool, X ) = s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2EF_2E0 ) }.
% 0.45/1.12 (62) {G0,W15,D6,L1,V2,M1} { s( X, app_2E2( s( tyop_2Emin_2Efun( X, X ),
% 0.45/1.12 combin_i_2E0 ), s( X, Y ) ) ) = s( X, Y ) }.
% 0.45/1.12 (63) {G0,W25,D9,L1,V4,M1} { s( X, app_2E2( s( tyop_2Emin_2Efun( Y, X ),
% 0.45/1.12 app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, X ) ), combin_k_2E0
% 0.45/1.12 ), s( X, Z ) ) ), s( Y, T ) ) ) = s( X, Z ) }.
% 0.45/1.12 (64) {G0,W77,D12,L1,V6,M1} { s( Z, app_2E2( s( tyop_2Emin_2Efun( X, Z ),
% 0.45/1.12 app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ), tyop_2Emin_2Efun
% 0.45/1.12 ( X, Z ) ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Efun( Y, Z ) ), tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, Y ),
% 0.45/1.12 tyop_2Emin_2Efun( X, Z ) ) ), combin_s_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.45/1.12 tyop_2Emin_2Efun( Y, Z ) ), T ) ) ), s( tyop_2Emin_2Efun( X, Y ), U ) ) )
% 0.45/1.12 , s( X, W ) ) ) = s( Z, app_2E2( s( tyop_2Emin_2Efun( Y, Z ), app_2E2( s
% 0.45/1.12 ( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( Y, Z ) ), T ), s( X, W ) ) ), s
% 0.45/1.12 ( Y, app_2E2( s( tyop_2Emin_2Efun( X, Y ), U ), s( X, W ) ) ) ) ) }.
% 0.45/1.12 (65) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 (66) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_2F_5C_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.12 (67) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_2F_5C_2E2
% 0.45/1.12 ( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 (68) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool,
% 0.45/1.12 c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool, Y
% 0.45/1.12 ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.45/1.12 }.
% 0.45/1.12 (69) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 (70) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_5C_2F_2E2( s( tyop_2Emin_2Ebool, X ), s(
% 0.45/1.12 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.12 (71) {G0,W11,D5,L2,V1,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1
% 0.45/1.12 ( s( tyop_2Emin_2Ebool, X ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.12 (72) {G0,W11,D5,L2,V1,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.12 tyop_2Emin_2Ebool, c_2Ebool_2E_7E_2E1( s( tyop_2Emin_2Ebool, X ) ) ) )
% 0.45/1.12 }.
% 0.45/1.12 (73) {G0,W18,D5,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool,
% 0.45/1.13 c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s( tyop_2Emin_2Ebool
% 0.45/1.13 , Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X ) ), p( s( tyop_2Emin_2Ebool, Y
% 0.45/1.13 ) ) }.
% 0.45/1.13 (74) {G0,W14,D5,L2,V2,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.45/1.13 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (75) {G0,W14,D5,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, c_2Emin_2E_3D_3D_3E_2E2( s( tyop_2Emin_2Ebool, X ), s
% 0.45/1.13 ( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (76) {G0,W17,D5,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2(
% 0.45/1.13 s( X, Y ), s( X, Z ) ) ) ), s( X, Y ) = s( X, Z ) }.
% 0.45/1.13 (77) {G0,W17,D5,L2,V3,M2} { ! s( X, Y ) = s( X, Z ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, c_2Emin_2E_3D_2E2( s( X, Y ), s( X, Z ) ) ) ) }.
% 0.45/1.13 (78) {G0,W21,D6,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1
% 0.45/1.13 ( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.45/1.13 Y ), s( X, Z ) ) ) ) }.
% 0.45/1.13 (79) {G0,W23,D6,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, skol2( X, Y ) ) ) )
% 0.45/1.13 ), p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.13 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.45/1.13 (80) {G0,W23,D6,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1
% 0.45/1.13 ( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.45/1.13 Y ), s( X, skol3( X, Y ) ) ) ) ) }.
% 0.45/1.13 (81) {G0,W21,D6,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ), s( X, Z ) ) ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s( tyop_2Emin_2Efun( X,
% 0.45/1.13 tyop_2Emin_2Ebool ), Y ) ) ) ) }.
% 0.45/1.13 (82) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, X ) ), ! p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, Y ) ), p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.13 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.13 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (83) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.13 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.13 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) )
% 0.45/1.13 }.
% 0.45/1.13 (84) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.13 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_2F_5C_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.13 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, Y ) )
% 0.45/1.13 }.
% 0.45/1.13 (85) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.45/1.13 c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.13 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (86) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.45/1.13 c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.13 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (87) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.13 , tyop_2Emin_2Ebool ) ), c_2Ebool_2E_5C_2F_2E0 ), s( tyop_2Emin_2Ebool, X
% 0.45/1.13 ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), p( s( tyop_2Emin_2Ebool, X ) ),
% 0.45/1.13 p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.13 (88) {G0,W16,D6,L2,V1,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Ebool ), c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) )
% 0.45/1.13 ) }.
% 0.45/1.13 (89) {G0,W16,D6,L2,V1,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ),
% 0.45/1.13 c_2Ebool_2E_7E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ) ), ! p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, X ) ) }.
% 0.45/1.13 (90) {G0,W26,D9,L2,V2,M2} { p( s( tyop_2Emin_2Ebool, X ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.45/1.13 c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.13 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (91) {G0,W26,D9,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, Y ) ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Ebool,
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ) ),
% 0.45/1.13 c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool, X ) ) ), s(
% 0.45/1.13 tyop_2Emin_2Ebool, Y ) ) ) ) }.
% 0.45/1.13 (92) {G0,W30,D9,L3,V2,M3} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Ebool ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Emin_2Ebool, tyop_2Emin_2Efun( tyop_2Emin_2Ebool
% 0.45/1.13 , tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_3D_3E_2E0 ), s( tyop_2Emin_2Ebool
% 0.45/1.13 , X ) ) ), s( tyop_2Emin_2Ebool, Y ) ) ) ), ! p( s( tyop_2Emin_2Ebool, X
% 0.45/1.13 ) ), p( s( tyop_2Emin_2Ebool, Y ) ) }.
% 0.45/1.13 (93) {G0,W29,D9,L2,V3,M2} { ! s( X, Y ) = s( X, Z ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ),
% 0.45/1.13 app_2E2( s( tyop_2Emin_2Efun( X, tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.45/1.13 ), c_2Emin_2E_3D_2E0 ), s( X, Y ) ) ), s( X, Z ) ) ) ) }.
% 0.45/1.13 (94) {G0,W29,D9,L2,V3,M2} { ! p( s( tyop_2Emin_2Ebool, app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), app_2E2( s( tyop_2Emin_2Efun( X
% 0.45/1.13 , tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ) ), c_2Emin_2E_3D_2E0 ), s( X,
% 0.45/1.13 Y ) ) ), s( X, Z ) ) ) ), s( X, Y ) = s( X, Z ) }.
% 0.45/1.13 (95) {G0,W24,D7,L1,V2,M1} { s( tyop_2Emin_2Ebool, c_2Ebool_2E_21_2E1( s(
% 0.45/1.13 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool
% 0.45/1.13 , app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.45/1.13 , tyop_2Emin_2Ebool ), c_2Ebool_2E_21_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.45/1.13 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.45/1.13 (96) {G0,W24,D7,L1,V2,M1} { s( tyop_2Emin_2Ebool, c_2Ebool_2E_3F_2E1( s(
% 0.45/1.13 tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool ), Y ) ) ) = s( tyop_2Emin_2Ebool
% 0.45/1.13 , app_2E2( s( tyop_2Emin_2Efun( tyop_2Emin_2Efun( X, tyop_2Emin_2Ebool )
% 0.45/1.13 , tyop_2Emin_2Ebool ), c_2Ebool_2E_3F_2E0 ), s( tyop_2Emin_2Efun( X,
% 0.45/1.13 tyop_2Emin_2Ebool ), Y ) ) ) }.
% 0.45/1.13 (97) {G0,W30,D7,L1,V3,M1} { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat( X,
% 0.45/1.13 Y ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X, Y ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E0 ), s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), Z ) ) ) }.
% 0.45/1.13 (98) {G0,W24,D7,L1,V3,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), Z ) ) ) = s( tyop_2Erealax_2Ereal, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), tyop_2Erealax_2Ereal ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E0 ), s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) }.
% 0.45/1.13 (99) {G0,W30,D7,L1,V3,M1} { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat( X,
% 0.45/1.13 Y ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X, Y ), app_2E2( s(
% 0.45/1.13 tyop_2Emin_2Efun( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E0 ), s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), Z ) ) ) }.
% 0.45/1.13 (100) {G0,W33,D8,L1,V3,M1} { s( tyop_2Ebinary__ieee_2Efloat( X, Y ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) = s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), app_2E2( s( tyop_2Emin_2Efun( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), tyop_2Ebinary__ieee_2Efloat( X, Y ) ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__plus__min_2E0 ), s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) }.
% 0.45/1.13 (101) {G0,W24,D7,L1,V3,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), Z ) ) ) = s( tyop_2Erealax_2Ereal, app_2E2( s( tyop_2Emin_2Efun(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), tyop_2Erealax_2Ereal ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E0 ), s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) }.
% 0.45/1.13 (102) {G0,W18,D6,L1,V1,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal, X ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, app_2E2( s( tyop_2Emin_2Efun( tyop_2Erealax_2Ereal
% 0.45/1.13 , tyop_2Erealax_2Ereal ), c_2Erealax_2Ereal__neg_2E0 ), s(
% 0.45/1.13 tyop_2Erealax_2Ereal, X ) ) ) }.
% 0.45/1.13 (103) {G0,W27,D8,L1,V3,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 X, Y ) ), Z ) ) ) = s( tyop_2Erealax_2Ereal, app_2E2( s( tyop_2Emin_2Efun
% 0.45/1.13 ( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( X, Y ) ),
% 0.45/1.13 tyop_2Erealax_2Ereal ), c_2Ebinary__ieee_2Eulp_2E0 ), s(
% 0.45/1.13 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( X, Y ) ), Z ) ) ) }.
% 0.45/1.13 (104) {G0,W25,D8,L1,V3,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__negate_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.13 (105) {G0,W24,D9,L1,V2,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) = s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) }.
% 0.45/1.13 (106) {G0,W4,D3,L1,V0,M1} { p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) )
% 0.45/1.13 }.
% 0.45/1.13 (107) {G0,W11,D3,L2,V2,M2} { ! s( X, Y ) = s( X, Y ), p( s(
% 0.45/1.13 tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 ) ) }.
% 0.45/1.13 (108) {G0,W11,D3,L2,V2,M2} { ! p( s( tyop_2Emin_2Ebool, c_2Ebool_2ET_2E0 )
% 0.45/1.13 ), s( X, Y ) = s( X, Y ) }.
% 0.45/1.13 (109) {G0,W32,D11,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( skol4, skol5 ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat(
% 0.45/1.13 skol4, skol5 ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s(
% 0.45/1.13 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( skol4, skol5 ) ),
% 0.45/1.13 c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) }.
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 Total Proof:
% 0.45/1.13
% 0.45/1.13 subsumption: (49) {G0,W25,D8,L1,V3,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__negate_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) ==> s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.13 parent0: (104) {G0,W25,D8,L1,V3,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__negate_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 X := X
% 0.45/1.13 Y := Y
% 0.45/1.13 Z := Z
% 0.45/1.13 end
% 0.45/1.13 permutation0:
% 0.45/1.13 0 ==> 0
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 eqswap: (168) {G0,W24,D9,L1,V2,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.13 ( tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) }.
% 0.45/1.13 parent0[0]: (105) {G0,W24,D9,L1,V2,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) = s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 X := X
% 0.45/1.13 Y := Y
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 subsumption: (50) {G0,W24,D9,L1,V2,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ==> s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.13 ( tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) }.
% 0.45/1.13 parent0: (168) {G0,W24,D9,L1,V2,M1} { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.13 ( tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 X := X
% 0.45/1.13 Y := Y
% 0.45/1.13 end
% 0.45/1.13 permutation0:
% 0.45/1.13 0 ==> 0
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 *** allocated 15000 integers for clauses
% 0.45/1.13 paramod: (316) {G1,W30,D11,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( skol4, skol5 ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s(
% 0.45/1.13 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( skol4, skol5 ) ),
% 0.45/1.13 c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) }.
% 0.45/1.13 parent0[0]: (49) {G0,W25,D8,L1,V3,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__negate_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( X, Y ), Z ) ) ) ) ) ==> s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( X, Y ), Z ) ) ) ) ) }.
% 0.45/1.13 parent1[0; 14]: (109) {G0,W32,D11,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Efloat__to__real_2E1( s(
% 0.45/1.13 tyop_2Ebinary__ieee_2Efloat( skol4, skol5 ),
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__negate_2E1( s( tyop_2Ebinary__ieee_2Efloat(
% 0.45/1.13 skol4, skol5 ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s(
% 0.45/1.13 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( skol4, skol5 ) ),
% 0.45/1.13 c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 X := skol4
% 0.45/1.13 Y := skol5
% 0.45/1.13 Z := c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) )
% 0.45/1.13 end
% 0.45/1.13 substitution1:
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 paramod: (317) {G1,W25,D9,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod
% 0.45/1.13 ( skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) }.
% 0.45/1.13 parent0[0]: (50) {G0,W24,D9,L1,V2,M1} I { s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat( X
% 0.45/1.13 , Y ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s( tyop_2Ebool_2Eitself(
% 0.45/1.13 tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ==> s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself
% 0.45/1.13 ( tyop_2Epair_2Eprod( X, Y ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) }.
% 0.45/1.13 parent1[0; 17]: (316) {G1,W30,D11,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Efloat__to__real_2E1( s( tyop_2Ebinary__ieee_2Efloat
% 0.45/1.13 ( skol4, skol5 ), c_2Ebinary__ieee_2Efloat__plus__min_2E1( s(
% 0.45/1.13 tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod( skol4, skol5 ) ),
% 0.45/1.13 c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 X := skol4
% 0.45/1.13 Y := skol5
% 0.45/1.13 end
% 0.45/1.13 substitution1:
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 eqrefl: (318) {G0,W0,D0,L0,V0,M0} { }.
% 0.45/1.13 parent0[0]: (317) {G1,W25,D9,L1,V0,M1} { ! s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal,
% 0.45/1.13 c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod(
% 0.45/1.13 skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) = s(
% 0.45/1.13 tyop_2Erealax_2Ereal, c_2Erealax_2Ereal__neg_2E1( s( tyop_2Erealax_2Ereal
% 0.45/1.13 , c_2Ebinary__ieee_2Eulp_2E1( s( tyop_2Ebool_2Eitself( tyop_2Epair_2Eprod
% 0.45/1.13 ( skol4, skol5 ) ), c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) }.
% 0.45/1.13 substitution0:
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 subsumption: (51) {G1,W0,D0,L0,V0,M0} I;d(49);d(50);q { }.
% 0.45/1.13 parent0: (318) {G0,W0,D0,L0,V0,M0} { }.
% 0.45/1.13 substitution0:
% 0.45/1.13 end
% 0.45/1.13 permutation0:
% 0.45/1.13 end
% 0.45/1.13
% 0.45/1.13 Proof check complete!
% 0.45/1.13
% 0.45/1.13 Memory use:
% 0.45/1.13
% 0.45/1.13 space for terms: 3478
% 0.45/1.13 space for clauses: 6909
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 clauses generated: 57
% 0.45/1.13 clauses kept: 52
% 0.45/1.13 clauses selected: 0
% 0.45/1.13 clauses deleted: 0
% 0.45/1.13 clauses inuse deleted: 0
% 0.45/1.13
% 0.45/1.13 subsentry: 842
% 0.45/1.13 literals s-matched: 436
% 0.45/1.13 literals matched: 395
% 0.45/1.13 full subsumption: 0
% 0.45/1.13
% 0.45/1.13 checksum: 2139379108
% 0.45/1.13
% 0.45/1.13
% 0.45/1.13 Bliksem ended
%------------------------------------------------------------------------------