%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SYO592-1 : TPTP v8.1.2. Bugfixed v5.5.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n032.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  : 300s
% DateTime : Fri May 19 12:36:35 EDT 2023

% Result   : Unsatisfiable 42.54s 10.33s
% Output   : Refutation 43.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      : 1754
% Syntax   : Number of formulae    : 3077 (   9 unt; 432 typ;   0 def)
%            Number of atoms       : 6617 (   2 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 115726 (3298   ~;3972   |;   0   &;108456   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   60 (  50 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  : 8173 (8173   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  434 ( 432 usr;   6 con; 0-26 aty)
%            Number of variables   : 62268 (   0   ^;62268   !;   0   ?;62268   :)

% Comments : 
%------------------------------------------------------------------------------
thf(esk246_26_type,type,
    esk246_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk177_20_type,type,
    esk177_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk248_26_type,type,
    esk248_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk208_23_type,type,
    esk208_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk93_11_type,type,
    esk93_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk96_11_type,type,
    esk96_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk95_11_type,type,
    esk95_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk324_26_type,type,
    esk324_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk97_11_type,type,
    esk97_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk94_11_type,type,
    esk94_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk28_5_type,type,
    esk28_5: $i > $i > $i > $i > $i > $o ).

thf(esk26_2_type,type,
    esk26_2: $i > $i > $o ).

thf(esk188_20_type,type,
    esk188_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk267_26_type,type,
    esk267_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk85_11_type,type,
    esk85_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk91_11_type,type,
    esk91_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk362_26_type,type,
    esk362_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk257_26_type,type,
    esk257_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(p_type,type,
    p: $i > $o ).

thf(esk407_26_type,type,
    esk407_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk22_2_type,type,
    esk22_2: $i > $i > $o ).

thf(esk19_2_type,type,
    esk19_2: $i > $i > $o ).

thf(esk21_2_type,type,
    esk21_2: $i > $i > $o ).

thf(esk20_2_type,type,
    esk20_2: $i > $i > $o ).

thf(esk180_20_type,type,
    esk180_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk179_20_type,type,
    esk179_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk181_20_type,type,
    esk181_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk182_20_type,type,
    esk182_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk249_26_type,type,
    esk249_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk210_23_type,type,
    esk210_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk204_23_type,type,
    esk204_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk151_17_type,type,
    esk151_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk274_26_type,type,
    esk274_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk376_26_type,type,
    esk376_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk1_0_type,type,
    esk1_0: $o ).

thf(esk3_0_type,type,
    esk3_0: $o ).

thf(esk255_26_type,type,
    esk255_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk141_17_type,type,
    esk141_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk163_17_type,type,
    esk163_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk191_20_type,type,
    esk191_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk263_26_type,type,
    esk263_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk332_26_type,type,
    esk332_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk334_26_type,type,
    esk334_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk134_14_type,type,
    esk134_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk320_26_type,type,
    esk320_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk342_26_type,type,
    esk342_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk307_26_type,type,
    esk307_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk304_26_type,type,
    esk304_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk101_11_type,type,
    esk101_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk83_11_type,type,
    esk83_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk103_11_type,type,
    esk103_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk99_11_type,type,
    esk99_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk102_11_type,type,
    esk102_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk109_11_type,type,
    esk109_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk107_11_type,type,
    esk107_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk105_11_type,type,
    esk105_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk100_11_type,type,
    esk100_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk98_11_type,type,
    esk98_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk108_11_type,type,
    esk108_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk106_11_type,type,
    esk106_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk110_11_type,type,
    esk110_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk104_11_type,type,
    esk104_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk340_26_type,type,
    esk340_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk251_26_type,type,
    esk251_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk402_26_type,type,
    esk402_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk88_11_type,type,
    esk88_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk346_26_type,type,
    esk346_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk126_14_type,type,
    esk126_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk302_26_type,type,
    esk302_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk170_20_type,type,
    esk170_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk187_20_type,type,
    esk187_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk289_26_type,type,
    esk289_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk166_17_type,type,
    esk166_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk40_5_type,type,
    esk40_5: $i > $i > $i > $i > $i > $o ).

thf(esk378_26_type,type,
    esk378_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk291_26_type,type,
    esk291_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk348_26_type,type,
    esk348_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk341_26_type,type,
    esk341_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk368_26_type,type,
    esk368_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk64_8_type,type,
    esk64_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk418_26_type,type,
    esk418_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk337_26_type,type,
    esk337_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk221_25_type,type,
    esk221_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk237_26_type,type,
    esk237_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk30_5_type,type,
    esk30_5: $i > $i > $i > $i > $i > $o ).

thf(esk29_5_type,type,
    esk29_5: $i > $i > $i > $i > $i > $o ).

thf(esk51_5_type,type,
    esk51_5: $i > $i > $i > $i > $i > $o ).

thf(esk388_26_type,type,
    esk388_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk391_26_type,type,
    esk391_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk12_2_type,type,
    esk12_2: $i > $i > $o ).

thf(esk25_2_type,type,
    esk25_2: $i > $i > $o ).

thf(esk130_14_type,type,
    esk130_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk327_26_type,type,
    esk327_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk171_20_type,type,
    esk171_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk277_26_type,type,
    esk277_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk153_17_type,type,
    esk153_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk286_26_type,type,
    esk286_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk152_17_type,type,
    esk152_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk161_17_type,type,
    esk161_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk253_26_type,type,
    esk253_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk413_26_type,type,
    esk413_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk412_26_type,type,
    esk412_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk43_5_type,type,
    esk43_5: $i > $i > $i > $i > $i > $o ).

thf(esk156_17_type,type,
    esk156_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk310_26_type,type,
    esk310_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk142_17_type,type,
    esk142_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk296_26_type,type,
    esk296_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk295_26_type,type,
    esk295_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk38_5_type,type,
    esk38_5: $i > $i > $i > $i > $i > $o ).

thf(esk393_26_type,type,
    esk393_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk42_5_type,type,
    esk42_5: $i > $i > $i > $i > $i > $o ).

thf(esk41_5_type,type,
    esk41_5: $i > $i > $i > $i > $i > $o ).

thf(esk39_5_type,type,
    esk39_5: $i > $i > $i > $i > $i > $o ).

thf(esk218_25_type,type,
    esk218_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk228_26_type,type,
    esk228_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk227_25_type,type,
    esk227_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk140_17_type,type,
    esk140_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk139_14_type,type,
    esk139_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk423_26_type,type,
    esk423_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk6_1_type,type,
    esk6_1: $i > $o ).

thf(esk82_11_type,type,
    esk82_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk369_26_type,type,
    esk369_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk223_25_type,type,
    esk223_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk220_25_type,type,
    esk220_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk52_5_type,type,
    esk52_5: $i > $i > $i > $i > $i > $o ).

thf(esk164_17_type,type,
    esk164_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk143_17_type,type,
    esk143_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk384_26_type,type,
    esk384_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk81_8_type,type,
    esk81_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk370_26_type,type,
    esk370_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk372_26_type,type,
    esk372_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk371_26_type,type,
    esk371_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk410_26_type,type,
    esk410_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk411_26_type,type,
    esk411_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk66_8_type,type,
    esk66_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk358_26_type,type,
    esk358_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk137_14_type,type,
    esk137_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk317_26_type,type,
    esk317_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk322_26_type,type,
    esk322_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk24_2_type,type,
    esk24_2: $i > $i > $o ).

thf(esk11_2_type,type,
    esk11_2: $i > $i > $o ).

thf(esk9_1_type,type,
    esk9_1: $i > $o ).

thf(esk10_2_type,type,
    esk10_2: $i > $i > $o ).

thf(esk316_26_type,type,
    esk316_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk92_11_type,type,
    esk92_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk321_26_type,type,
    esk321_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk288_26_type,type,
    esk288_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk420_26_type,type,
    esk420_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk366_26_type,type,
    esk366_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk84_11_type,type,
    esk84_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk133_14_type,type,
    esk133_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk394_26_type,type,
    esk394_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk31_5_type,type,
    esk31_5: $i > $i > $i > $i > $i > $o ).

thf(esk395_26_type,type,
    esk395_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk176_20_type,type,
    esk176_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk200_23_type,type,
    esk200_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk243_26_type,type,
    esk243_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk211_23_type,type,
    esk211_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk198_23_type,type,
    esk198_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk7_1_type,type,
    esk7_1: $i > $o ).

thf(esk429_26_type,type,
    esk429_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk155_17_type,type,
    esk155_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk323_26_type,type,
    esk323_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk416_26_type,type,
    esk416_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk298_26_type,type,
    esk298_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk123_14_type,type,
    esk123_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk212_23_type,type,
    esk212_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk197_23_type,type,
    esk197_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk80_8_type,type,
    esk80_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk77_8_type,type,
    esk77_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk70_8_type,type,
    esk70_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk78_8_type,type,
    esk78_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk54_8_type,type,
    esk54_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk71_8_type,type,
    esk71_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk75_8_type,type,
    esk75_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk76_8_type,type,
    esk76_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk74_8_type,type,
    esk74_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk72_8_type,type,
    esk72_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk73_8_type,type,
    esk73_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk69_8_type,type,
    esk69_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk79_8_type,type,
    esk79_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk387_26_type,type,
    esk387_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk409_26_type,type,
    esk409_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk138_14_type,type,
    esk138_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk113_14_type,type,
    esk113_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk169_20_type,type,
    esk169_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk178_20_type,type,
    esk178_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk244_26_type,type,
    esk244_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk350_26_type,type,
    esk350_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk68_8_type,type,
    esk68_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk86_11_type,type,
    esk86_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk338_26_type,type,
    esk338_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk339_26_type,type,
    esk339_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk403_26_type,type,
    esk403_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk48_5_type,type,
    esk48_5: $i > $i > $i > $i > $i > $o ).

thf(esk273_26_type,type,
    esk273_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk185_20_type,type,
    esk185_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk380_26_type,type,
    esk380_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk355_26_type,type,
    esk355_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk356_26_type,type,
    esk356_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk60_8_type,type,
    esk60_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk154_17_type,type,
    esk154_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk308_26_type,type,
    esk308_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk272_26_type,type,
    esk272_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk271_26_type,type,
    esk271_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk426_26_type,type,
    esk426_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk424_26_type,type,
    esk424_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk428_26_type,type,
    esk428_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk15_2_type,type,
    esk15_2: $i > $i > $o ).

thf(esk353_26_type,type,
    esk353_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk354_26_type,type,
    esk354_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk27_5_type,type,
    esk27_5: $i > $i > $i > $i > $i > $o ).

thf(esk203_23_type,type,
    esk203_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk209_23_type,type,
    esk209_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk325_26_type,type,
    esk325_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk90_11_type,type,
    esk90_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk172_20_type,type,
    esk172_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk173_20_type,type,
    esk173_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk132_14_type,type,
    esk132_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk347_26_type,type,
    esk347_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk240_26_type,type,
    esk240_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk216_25_type,type,
    esk216_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk345_26_type,type,
    esk345_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk225_25_type,type,
    esk225_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk219_25_type,type,
    esk219_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk146_17_type,type,
    esk146_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk136_14_type,type,
    esk136_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk112_14_type,type,
    esk112_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk256_26_type,type,
    esk256_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk190_20_type,type,
    esk190_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk264_26_type,type,
    esk264_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk33_5_type,type,
    esk33_5: $i > $i > $i > $i > $i > $o ).

thf(esk49_5_type,type,
    esk49_5: $i > $i > $i > $i > $i > $o ).

thf(esk241_26_type,type,
    esk241_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk281_26_type,type,
    esk281_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk125_14_type,type,
    esk125_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk311_26_type,type,
    esk311_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk313_26_type,type,
    esk313_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk365_26_type,type,
    esk365_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk131_14_type,type,
    esk131_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk124_14_type,type,
    esk124_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk314_26_type,type,
    esk314_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk285_26_type,type,
    esk285_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk319_26_type,type,
    esk319_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk262_26_type,type,
    esk262_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk235_26_type,type,
    esk235_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk236_26_type,type,
    esk236_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk148_17_type,type,
    esk148_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk270_26_type,type,
    esk270_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk269_26_type,type,
    esk269_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk53_8_type,type,
    esk53_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk398_26_type,type,
    esk398_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk406_26_type,type,
    esk406_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk17_2_type,type,
    esk17_2: $i > $i > $o ).

thf(esk147_17_type,type,
    esk147_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk145_17_type,type,
    esk145_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk305_26_type,type,
    esk305_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk306_26_type,type,
    esk306_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk419_26_type,type,
    esk419_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk421_26_type,type,
    esk421_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk34_5_type,type,
    esk34_5: $i > $i > $i > $i > $i > $o ).

thf(esk417_26_type,type,
    esk417_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk331_26_type,type,
    esk331_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk87_11_type,type,
    esk87_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk58_8_type,type,
    esk58_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk392_26_type,type,
    esk392_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk389_26_type,type,
    esk389_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk390_26_type,type,
    esk390_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk290_26_type,type,
    esk290_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk119_14_type,type,
    esk119_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk297_26_type,type,
    esk297_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk231_26_type,type,
    esk231_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk261_26_type,type,
    esk261_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk373_26_type,type,
    esk373_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk278_26_type,type,
    esk278_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk238_26_type,type,
    esk238_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk377_26_type,type,
    esk377_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk37_5_type,type,
    esk37_5: $i > $i > $i > $i > $i > $o ).

thf(esk396_26_type,type,
    esk396_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk379_26_type,type,
    esk379_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk36_5_type,type,
    esk36_5: $i > $i > $i > $i > $i > $o ).

thf(esk284_26_type,type,
    esk284_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk330_26_type,type,
    esk330_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk329_26_type,type,
    esk329_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk364_26_type,type,
    esk364_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk360_26_type,type,
    esk360_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk294_26_type,type,
    esk294_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk422_26_type,type,
    esk422_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk315_26_type,type,
    esk315_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk292_26_type,type,
    esk292_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk2_0_type,type,
    esk2_0: $o ).

thf(esk4_1_type,type,
    esk4_1: $i > $o ).

thf(esk16_2_type,type,
    esk16_2: $i > $i > $o ).

thf(esk427_26_type,type,
    esk427_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk184_20_type,type,
    esk184_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk122_14_type,type,
    esk122_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk309_26_type,type,
    esk309_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk318_26_type,type,
    esk318_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk361_26_type,type,
    esk361_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk150_17_type,type,
    esk150_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk183_20_type,type,
    esk183_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk282_26_type,type,
    esk282_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk349_26_type,type,
    esk349_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk357_26_type,type,
    esk357_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk425_26_type,type,
    esk425_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk14_2_type,type,
    esk14_2: $i > $i > $o ).

thf(esk217_25_type,type,
    esk217_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk215_23_type,type,
    esk215_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk283_26_type,type,
    esk283_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk46_5_type,type,
    esk46_5: $i > $i > $i > $i > $i > $o ).

thf(esk401_26_type,type,
    esk401_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk50_5_type,type,
    esk50_5: $i > $i > $i > $i > $i > $o ).

thf(esk343_26_type,type,
    esk343_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk61_8_type,type,
    esk61_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk287_26_type,type,
    esk287_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk300_26_type,type,
    esk300_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk114_14_type,type,
    esk114_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk397_26_type,type,
    esk397_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk359_26_type,type,
    esk359_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk67_8_type,type,
    esk67_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk259_26_type,type,
    esk259_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk196_23_type,type,
    esk196_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk408_26_type,type,
    esk408_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk45_5_type,type,
    esk45_5: $i > $i > $i > $i > $i > $o ).

thf(esk199_23_type,type,
    esk199_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk214_23_type,type,
    esk214_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk167_17_type,type,
    esk167_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk312_26_type,type,
    esk312_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk118_14_type,type,
    esk118_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk299_26_type,type,
    esk299_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk247_26_type,type,
    esk247_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk65_8_type,type,
    esk65_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk233_26_type,type,
    esk233_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk254_26_type,type,
    esk254_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk382_26_type,type,
    esk382_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk363_26_type,type,
    esk363_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk328_26_type,type,
    esk328_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk239_26_type,type,
    esk239_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk47_5_type,type,
    esk47_5: $i > $i > $i > $i > $i > $o ).

thf(esk44_5_type,type,
    esk44_5: $i > $i > $i > $i > $i > $o ).

thf(esk374_26_type,type,
    esk374_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk242_26_type,type,
    esk242_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk232_26_type,type,
    esk232_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk268_26_type,type,
    esk268_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk383_26_type,type,
    esk383_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk57_8_type,type,
    esk57_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk13_2_type,type,
    esk13_2: $i > $i > $o ).

thf(esk252_26_type,type,
    esk252_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk174_20_type,type,
    esk174_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk115_14_type,type,
    esk115_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk222_25_type,type,
    esk222_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk205_23_type,type,
    esk205_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk165_17_type,type,
    esk165_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk160_17_type,type,
    esk160_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk144_17_type,type,
    esk144_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk351_26_type,type,
    esk351_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk62_8_type,type,
    esk62_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk352_26_type,type,
    esk352_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk404_26_type,type,
    esk404_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk18_2_type,type,
    esk18_2: $i > $i > $o ).

thf(esk336_26_type,type,
    esk336_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk385_26_type,type,
    esk385_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk226_25_type,type,
    esk226_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk386_26_type,type,
    esk386_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk229_26_type,type,
    esk229_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk230_26_type,type,
    esk230_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk63_8_type,type,
    esk63_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk234_26_type,type,
    esk234_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk159_17_type,type,
    esk159_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk333_26_type,type,
    esk333_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk399_26_type,type,
    esk399_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk59_8_type,type,
    esk59_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk258_26_type,type,
    esk258_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk202_23_type,type,
    esk202_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk275_26_type,type,
    esk275_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk280_26_type,type,
    esk280_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk260_26_type,type,
    esk260_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk193_20_type,type,
    esk193_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk162_17_type,type,
    esk162_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk245_26_type,type,
    esk245_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk213_23_type,type,
    esk213_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk201_23_type,type,
    esk201_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk303_26_type,type,
    esk303_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk157_17_type,type,
    esk157_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk381_26_type,type,
    esk381_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk326_26_type,type,
    esk326_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk127_14_type,type,
    esk127_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk293_26_type,type,
    esk293_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk55_8_type,type,
    esk55_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk121_14_type,type,
    esk121_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk89_11_type,type,
    esk89_11: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk120_14_type,type,
    esk120_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk400_26_type,type,
    esk400_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk335_26_type,type,
    esk335_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk116_14_type,type,
    esk116_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk265_26_type,type,
    esk265_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk266_26_type,type,
    esk266_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk195_20_type,type,
    esk195_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk207_23_type,type,
    esk207_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk405_26_type,type,
    esk405_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk194_20_type,type,
    esk194_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk192_20_type,type,
    esk192_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk189_20_type,type,
    esk189_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk186_20_type,type,
    esk186_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk224_25_type,type,
    esk224_25: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk117_14_type,type,
    esk117_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk301_26_type,type,
    esk301_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk276_26_type,type,
    esk276_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk129_14_type,type,
    esk129_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk175_20_type,type,
    esk175_20: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk344_26_type,type,
    esk344_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk158_17_type,type,
    esk158_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk168_17_type,type,
    esk168_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk367_26_type,type,
    esk367_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk414_26_type,type,
    esk414_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk149_17_type,type,
    esk149_17: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk375_26_type,type,
    esk375_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk23_2_type,type,
    esk23_2: $i > $i > $o ).

thf(esk35_5_type,type,
    esk35_5: $i > $i > $i > $i > $i > $o ).

thf(esk111_14_type,type,
    esk111_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk128_14_type,type,
    esk128_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk135_14_type,type,
    esk135_14: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk32_5_type,type,
    esk32_5: $i > $i > $i > $i > $i > $o ).

thf(esk56_8_type,type,
    esk56_8: $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk8_1_type,type,
    esk8_1: $i > $o ).

thf(esk279_26_type,type,
    esk279_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk415_26_type,type,
    esk415_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk250_26_type,type,
    esk250_26: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk206_23_type,type,
    esk206_23: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(esk5_1_type,type,
    esk5_1: $i > $o ).

thf(true_type,type,
    true: $i ).

thf(false_type,type,
    false: $i ).

thf(421,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk17_2 @ A @ B )
      | ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_421) ).

thf(2163,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk17_2 @ A @ B )
      | ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).

thf(90,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_90) ).

thf(1501,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(74,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk288_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_74) ).

thf(1469,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk288_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(156,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk17_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_156) ).

thf(1633,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk17_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).

thf(223,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_223) ).

thf(1767,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).

thf(1057,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1057) ).

thf(3434,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1057]) ).

thf(553,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk229_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_553) ).

thf(2427,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk229_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).

thf(619,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_619) ).

thf(2559,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[619]) ).

thf(505,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_505) ).

thf(2331,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).

thf(1123,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1123) ).

thf(3566,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1123]) ).

thf(114,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_114) ).

thf(1549,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(926,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk318_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_926) ).

thf(3172,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk318_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[926]) ).

thf(439,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_439) ).

thf(2199,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).

thf(850,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_850) ).

thf(3021,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[850]) ).

thf(172,axiom,
    ! [B: $i,A: $i] :
      ( ( p @ A )
      | ( esk10_2 @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_172) ).

thf(1665,plain,
    ! [B: $i,A: $i] :
      ( ( p @ A )
      | ( esk10_2 @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).

thf(279,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_279) ).

thf(1879,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).

thf(8,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ U ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_8) ).

thf(1337,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ U ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(1312,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk19_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1312) ).

thf(3944,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk19_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1312]) ).

thf(45,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_45) ).

thf(1411,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(24,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_24) ).

thf(1369,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(784,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_784) ).

thf(2889,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[784]) ).

thf(251,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_251) ).

thf(1823,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).

thf(487,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_487) ).

thf(2295,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).

thf(866,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_866) ).

thf(3053,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[866]) ).

thf(510,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_510) ).

thf(2341,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).

thf(394,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_394) ).

thf(2109,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).

thf(405,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_405) ).

thf(2131,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).

thf(355,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_355) ).

thf(2031,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).

thf(337,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_337) ).

thf(1995,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).

thf(471,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_471) ).

thf(2263,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).

thf(1305,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1305) ).

thf(3930,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1305]) ).

thf(1239,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1239) ).

thf(3798,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1239]) ).

thf(119,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_119) ).

thf(1559,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(1173,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk20_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1173) ).

thf(3666,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk20_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1173]) ).

thf(204,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_204) ).

thf(1729,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).

thf(800,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_800) ).

thf(2921,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[800]) ).

thf(1189,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1189) ).

thf(3698,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1189]) ).

thf(571,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_571) ).

thf(2463,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[571]) ).

thf(289,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk26_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_289) ).

thf(1899,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk26_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).

thf(1255,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1255) ).

thf(3830,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1255]) ).

thf(733,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_733) ).

thf(2787,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[733]) ).

thf(637,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_637) ).

thf(2595,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[637]) ).

thf(589,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_589) ).

thf(2499,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[589]) ).

thf(494,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_494) ).

thf(2309,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).

thf(876,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk32_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_876) ).

thf(3072,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk32_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[876]) ).

thf(398,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_398) ).

thf(2117,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).

thf(1221,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1221) ).

thf(3762,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1221]) ).

thf(537,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_537) ).

thf(2395,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).

thf(603,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( p @ J )
      | ( p @ I )
      | ~ ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_603) ).

thf(2527,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( p @ J )
      | ( p @ I )
      | ~ ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[603]) ).

thf(894,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_894) ).

thf(3108,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[894]) ).

thf(758,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_758) ).

thf(2837,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[758]) ).

thf(1089,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1089) ).

thf(3498,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1089]) ).

thf(58,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk52_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_58) ).

thf(1437,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk52_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(1031,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1031) ).

thf(3382,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1031]) ).

thf(521,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_521) ).

thf(2363,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).

thf(267,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_267) ).

thf(1855,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).

thf(1180,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1180) ).

thf(3680,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1180]) ).

thf(378,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_378) ).

thf(2077,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).

thf(1107,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1107) ).

thf(3534,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1107]) ).

thf(455,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_455) ).

thf(2231,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).

thf(1269,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1269) ).

thf(3858,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1269]) ).

thf(587,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_587) ).

thf(2495,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[587]) ).

thf(955,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_955) ).

thf(3230,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[955]) ).

thf(530,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_530) ).

thf(2381,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ V ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).

thf(61,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_61) ).

thf(1443,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(669,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_669) ).

thf(2659,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[669]) ).

thf(816,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_816) ).

thf(2953,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[816]) ).

thf(40,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_40) ).

thf(1401,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(1070,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1070) ).

thf(3460,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1070]) ).

thf(813,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk44_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_813) ).

thf(2947,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk44_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[813]) ).

thf(124,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_124) ).

thf(1569,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(309,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_309) ).

thf(1939,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).

thf(1296,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1296) ).

thf(3912,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1296]) ).

thf(889,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_889) ).

thf(3098,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[889]) ).

thf(675,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk313_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_675) ).

thf(2671,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk313_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[675]) ).

thf(1295,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk373_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1295) ).

thf(3910,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk373_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1295]) ).

thf(389,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_389) ).

thf(2099,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).

thf(135,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk49_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_135) ).

thf(1591,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk49_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(325,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_325) ).

thf(1971,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).

thf(236,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_236) ).

thf(1793,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).

thf(1041,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk6_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1041) ).

thf(3402,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk6_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1041]) ).

thf(106,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_106) ).

thf(1533,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(1105,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk50_5 @ A @ B @ C @ D @ E )
      | ~ ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1105) ).

thf(3530,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk50_5 @ A @ B @ C @ D @ E )
      | ~ ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1105]) ).

thf(175,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_175) ).

thf(1671,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).

thf(1237,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1237) ).

thf(3794,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1237]) ).

thf(167,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_167) ).

thf(1655,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).

thf(900,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_900) ).

thf(3120,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[900]) ).

thf(864,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_864) ).

thf(3049,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[864]) ).

thf(643,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_643) ).

thf(2607,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[643]) ).

thf(1311,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1311) ).

thf(3942,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1311]) ).

thf(207,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_207) ).

thf(1735,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).

thf(273,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_273) ).

thf(1867,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).

thf(410,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_410) ).

thf(2141,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).

thf(1148,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P )
      | ~ ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1148) ).

thf(3616,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P )
      | ~ ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1148]) ).

thf(3,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_3) ).

thf(1327,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(653,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_653) ).

thf(2627,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[653]) ).

thf(1121,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1121) ).

thf(3562,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1121]) ).

thf(790,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_790) ).

thf(2901,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[790]) ).

thf(93,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_93) ).

thf(1507,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(1264,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1264) ).

thf(3848,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1264]) ).

thf(88,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_88) ).

thf(1497,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(848,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_848) ).

thf(3017,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[848]) ).

thf(437,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_437) ).

thf(2195,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).

thf(192,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_192) ).

thf(1705,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).

thf(357,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_357) ).

thf(2035,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).

thf(1006,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1006) ).

thf(3332,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1006]) ).

thf(1164,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( p @ L )
      | ~ ( p @ M )
      | ~ ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ N @ M @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1164) ).

thf(3648,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( p @ L )
      | ~ ( p @ M )
      | ~ ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ N @ M @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1164]) ).

thf(339,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_339) ).

thf(1999,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).

thf(1063,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1063) ).

thf(3446,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1063]) ).

thf(1009,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1009) ).

thf(3338,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1009]) ).

thf(806,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_806) ).

thf(2933,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[806]) ).

thf(299,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_299) ).

thf(1919,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).

thf(1253,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1253) ).

thf(3826,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1253]) ).

thf(569,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_569) ).

thf(2459,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[569]) ).

thf(1047,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1047) ).

thf(3414,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1047]) ).

thf(220,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_220) ).

thf(1761,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).

thf(978,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_978) ).

thf(3276,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[978]) ).

thf(627,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_627) ).

thf(2575,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[627]) ).

thf(1025,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1025) ).

thf(3370,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1025]) ).

thf(257,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk11_2 @ A @ B )
      | ( esk26_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_257) ).

thf(1835,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk11_2 @ A @ B )
      | ( esk26_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).

thf(1157,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1157) ).

thf(3634,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1157]) ).

thf(1223,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1223) ).

thf(3766,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1223]) ).

thf(1091,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Q )
      | ~ ( p @ O )
      | ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1091) ).

thf(3502,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Q )
      | ~ ( p @ O )
      | ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1091]) ).

thf(60,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_60) ).

thf(1441,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(884,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk16_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_884) ).

thf(3088,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk16_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[884]) ).

thf(146,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_146) ).

thf(1613,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(19,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_19) ).

thf(1359,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(1289,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1289) ).

thf(3898,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1289]) ).

thf(426,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_426) ).

thf(2173,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).

thf(151,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_151) ).

thf(1623,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).

thf(283,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_283) ).

thf(1887,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).

thf(818,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_818) ).

thf(2957,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[818]) ).

thf(1258,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1258) ).

thf(3836,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1258]) ).

thf(958,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk344_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_958) ).

thf(3236,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk344_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[958]) ).

thf(1015,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1015) ).

thf(3350,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1015]) ).

thf(701,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_701) ).

thf(2723,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[701]) ).

thf(585,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk403_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_585) ).

thf(2491,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk403_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[585]) ).

thf(721,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_721) ).

thf(2763,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[721]) ).

thf(832,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_832) ).

thf(2985,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[832]) ).

thf(453,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ U ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_453) ).

thf(2227,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ U ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).

thf(35,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_35) ).

thf(1391,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(994,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk369_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_994) ).

thf(3308,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk369_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[994]) ).

thf(307,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_307) ).

thf(1935,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).

thf(1205,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk14_2 @ A @ B )
      | ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1205) ).

thf(3730,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk14_2 @ A @ B )
      | ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1205]) ).

thf(162,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk34_5 @ A @ B @ C @ D @ E )
      | ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_162) ).

thf(1645,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk34_5 @ A @ B @ C @ D @ E )
      | ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).

thf(300,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk49_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_300) ).

thf(1921,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk49_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).

thf(140,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_140) ).

thf(1601,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(1073,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1073) ).

thf(3466,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1073]) ).

thf(910,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_910) ).

thf(3140,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[910]) ).

thf(77,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_77) ).

thf(1475,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(104,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_104) ).

thf(1529,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(323,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_323) ).

thf(1967,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).

thf(373,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk49_5 @ A @ B @ C @ D @ E )
      | ~ ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_373) ).

thf(2067,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk49_5 @ A @ B @ C @ D @ E )
      | ~ ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).

thf(752,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_752) ).

thf(2825,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[752]) ).

thf(749,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_749) ).

thf(2819,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[749]) ).

thf(241,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_241) ).

thf(1803,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).

thf(1280,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1280) ).

thf(3880,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1280]) ).

thf(1279,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk32_5 @ A @ B @ C @ D @ E )
      | ~ ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1279) ).

thf(3878,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk32_5 @ A @ B @ C @ D @ E )
      | ~ ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1279]) ).

thf(191,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_191) ).

thf(1703,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).

thf(605,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_605) ).

thf(2531,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[605]) ).

thf(542,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_542) ).

thf(2405,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).

thf(1184,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1184) ).

thf(3688,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1184]) ).

thf(774,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_774) ).

thf(2869,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[774]) ).

thf(1250,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1250) ).

thf(3820,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1250]) ).

thf(194,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_194) ).

thf(1709,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).

thf(641,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_641) ).

thf(2603,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[641]) ).

thf(1162,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1162) ).

thf(3644,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1162]) ).

thf(359,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_359) ).

thf(2039,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).

thf(509,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_509) ).

thf(2339,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).

thf(717,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_717) ).

thf(2755,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[717]) ).

thf(870,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_870) ).

thf(3061,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[870]) ).

thf(448,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_448) ).

thf(2217,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).

thf(95,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_95) ).

thf(1511,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(1228,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1228) ).

thf(3776,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1228]) ).

thf(1111,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1111) ).

thf(3542,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1111]) ).

thf(861,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_861) ).

thf(3043,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[861]) ).

thf(691,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_691) ).

thf(2703,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[691]) ).

thf(964,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_964) ).

thf(3248,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[964]) ).

thf(44,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk153_17 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( p @ S )
      | ( p @ T )
      | ~ ( esk286_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ T @ S @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_44) ).

thf(1409,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk153_17 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R )
      | ~ ( p @ S )
      | ( p @ T )
      | ~ ( esk286_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ T @ S @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(942,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_942) ).

thf(3204,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[942]) ).

thf(1061,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1061) ).

thf(3442,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1061]) ).

thf(1309,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1309) ).

thf(3938,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1309]) ).

thf(854,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_854) ).

thf(3029,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[854]) ).

thf(707,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_707) ).

thf(2735,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[707]) ).

thf(332,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_332) ).

thf(1985,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).

thf(898,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_898) ).

thf(3116,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[898]) ).

thf(673,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_673) ).

thf(2667,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[673]) ).

thf(1011,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk421_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1011) ).

thf(3342,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk421_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1011]) ).

thf(474,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_474) ).

thf(2269,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).

thf(275,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk242_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_275) ).

thf(1871,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk242_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).

thf(1127,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk36_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1127) ).

thf(3574,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk36_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1127]) ).

thf(293,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_293) ).

thf(1907,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).

thf(590,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_590) ).

thf(2501,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[590]) ).

thf(1,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1) ).

thf(1323,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(1146,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R )
      | ~ ( p @ S )
      | ( p @ T )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1146) ).

thf(3612,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R )
      | ~ ( p @ S )
      | ( p @ T )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1146]) ).

thf(914,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_914) ).

thf(3148,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[914]) ).

thf(1045,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1045) ).

thf(3410,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1045]) ).

thf(432,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_432) ).

thf(2185,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).

thf(128,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_128) ).

thf(1577,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(67,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_67) ).

thf(1455,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(980,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_980) ).

thf(3280,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[980]) ).

thf(788,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_788) ).

thf(2897,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[788]) ).

thf(1212,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1212) ).

thf(3744,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1212]) ).

thf(712,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk52_5 @ A @ B @ C @ D @ E )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_712) ).

thf(2745,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk52_5 @ A @ B @ C @ D @ E )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[712]) ).

thf(625,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_625) ).

thf(2571,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[625]) ).

thf(112,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_112) ).

thf(1545,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(685,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_685) ).

thf(2691,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[685]) ).

thf(696,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_696) ).

thf(2713,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[696]) ).

thf(768,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_768) ).

thf(2857,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[768]) ).

thf(364,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_364) ).

thf(2049,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).

thf(723,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_723) ).

thf(2767,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[723]) ).

thf(948,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_948) ).

thf(3216,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[948]) ).

thf(1207,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1207) ).

thf(3734,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1207]) ).

thf(226,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk401_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_226) ).

thf(1773,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk401_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).

thf(930,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_930) ).

thf(3180,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[930]) ).

thf(263,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_263) ).

thf(1847,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).

thf(1260,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1260) ).

thf(3840,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1260]) ).

thf(29,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_29) ).

thf(1379,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(1027,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1027) ).

thf(3374,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1027]) ).

thf(424,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_424) ).

thf(2169,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).

thf(541,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_541) ).

thf(2403,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).

thf(1159,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1159) ).

thf(3638,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1159]) ).

thf(79,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk31_5 @ A @ B @ C @ D @ E )
      | ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_79) ).

thf(1479,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk31_5 @ A @ B @ C @ D @ E )
      | ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(144,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( p @ O )
      | ~ ( p @ P )
      | ~ ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ P @ Q @ O @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_144) ).

thf(1609,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( p @ O )
      | ~ ( p @ P )
      | ~ ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ P @ Q @ O @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(526,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_526) ).

thf(2373,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).

thf(13,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_13) ).

thf(1347,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(210,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_210) ).

thf(1741,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).

thf(882,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk10_2 @ A @ B )
      | ~ ( esk7_1 @ A )
      | ~ ( p @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_882) ).

thf(3084,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk10_2 @ A @ B )
      | ~ ( esk7_1 @ A )
      | ~ ( p @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[882]) ).

thf(657,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk376_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_657) ).

thf(2635,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk376_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[657]) ).

thf(804,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_804) ).

thf(2929,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[804]) ).

thf(1075,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1075) ).

thf(3470,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1075]) ).

thf(996,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk45_5 @ A @ B @ C @ D @ E )
      | ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_996) ).

thf(3312,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk45_5 @ A @ B @ C @ D @ E )
      | ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[996]) ).

thf(1291,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( p @ K )
      | ~ ( p @ J )
      | ~ ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1291) ).

thf(3902,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( p @ K )
      | ~ ( p @ J )
      | ~ ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1291]) ).

thf(305,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_305) ).

thf(1931,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).

thf(160,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_160) ).

thf(1641,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).

thf(1194,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1194) ).

thf(3708,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1194]) ).

thf(490,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_490) ).

thf(2301,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).

thf(247,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk37_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_247) ).

thf(1815,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk37_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).

thf(834,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk22_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_834) ).

thf(2989,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk22_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[834]) ).

thf(321,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_321) ).

thf(1963,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).

thf(1141,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1141) ).

thf(3602,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1141]) ).

thf(277,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_277) ).

thf(1875,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).

thf(1273,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1273) ).

thf(3866,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1273]) ).

thf(606,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_606) ).

thf(2533,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[606]) ).

thf(974,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_974) ).

thf(3268,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ X ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[974]) ).

thf(969,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk20_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ( esk19_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_969) ).

thf(3258,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk20_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ( esk19_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[969]) ).

thf(754,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_754) ).

thf(2829,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[754]) ).

thf(1234,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk6_1 @ A )
      | ~ ( esk7_1 @ A )
      | ~ ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1234) ).

thf(3788,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk6_1 @ A )
      | ~ ( esk7_1 @ A )
      | ~ ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1234]) ).

thf(343,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_343) ).

thf(2007,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).

thf(1001,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1001) ).

thf(3322,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1001]) ).

thf(72,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_72) ).

thf(1465,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(1102,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk52_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1102) ).

thf(3524,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk52_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1102]) ).

thf(353,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_353) ).

thf(2027,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).

thf(1307,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1307) ).

thf(3934,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1307]) ).

thf(295,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk179_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
      | ~ ( p @ V )
      | ( p @ W )
      | ~ ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ W @ V @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_295) ).

thf(1911,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk179_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
      | ~ ( p @ V )
      | ( p @ W )
      | ~ ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ W @ V @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).

thf(565,axiom,
    ! [B: $i,A: $i] :
      ( ( esk23_2 @ A @ B )
      | ( p @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_565) ).

thf(2451,plain,
    ! [B: $i,A: $i] :
      ( ( esk23_2 @ A @ B )
      | ( p @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[565]) ).

thf(1191,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1191) ).

thf(3702,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1191]) ).

thf(1059,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1059) ).

thf(3438,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1059]) ).

thf(802,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_802) ).

thf(2925,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[802]) ).

thf(178,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_178) ).

thf(1677,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).

thf(376,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_376) ).

thf(2073,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).

thf(348,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_348) ).

thf(2017,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).

thf(84,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_84) ).

thf(1489,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(458,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_458) ).

thf(2237,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).

thf(47,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk43_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_47) ).

thf(1415,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk43_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(392,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk6_1 @ A )
      | ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk7_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_392) ).

thf(2105,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk6_1 @ A )
      | ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk7_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).

thf(245,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_245) ).

thf(1811,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).

thf(26,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_26) ).

thf(1373,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(1202,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk400_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1202) ).

thf(3724,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk400_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1202]) ).

thf(786,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_786) ).

thf(2893,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[786]) ).

thf(574,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_574) ).

thf(2469,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[574]) ).

thf(1175,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1175) ).

thf(3670,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1175]) ).

thf(469,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_469) ).

thf(2259,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).

thf(485,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_485) ).

thf(2291,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).

thf(31,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_31) ).

thf(1383,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(990,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk18_2 @ A @ B )
      | ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_990) ).

thf(3300,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk18_2 @ A @ B )
      | ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[990]) ).

thf(617,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk258_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_617) ).

thf(2555,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk258_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[617]) ).

thf(985,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_985) ).

thf(3290,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[985]) ).

thf(130,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_130) ).

thf(1581,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(507,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_507) ).

thf(2335,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).

thf(728,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_728) ).

thf(2777,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[728]) ).

thf(916,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_916) ).

thf(3152,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[916]) ).

thf(261,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_261) ).

thf(1843,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).

thf(770,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_770) ).

thf(2861,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[770]) ).

thf(1196,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1196) ).

thf(3712,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1196]) ).

thf(15,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_15) ).

thf(1351,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(56,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk51_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_56) ).

thf(1433,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk51_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(822,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_822) ).

thf(2965,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[822]) ).

thf(1275,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1275) ).

thf(3870,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1275]) ).

thf(932,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_932) ).

thf(3184,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[932]) ).

thf(1029,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk24_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1029) ).

thf(3378,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk24_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1029]) ).

thf(523,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_523) ).

thf(2367,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).

thf(558,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_558) ).

thf(2437,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[558]) ).

thf(874,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_874) ).

thf(3068,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[874]) ).

thf(28,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_28) ).

thf(1377,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(756,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_756) ).

thf(2833,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[756]) ).

thf(480,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_480) ).

thf(2281,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).

thf(63,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_63) ).

thf(1447,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(581,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_581) ).

thf(2483,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[581]) ).

thf(1244,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1244) ).

thf(3808,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1244]) ).

thf(601,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_601) ).

thf(2523,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[601]) ).

thf(525,axiom,
    ! [A: $i] :
      ( esk3_0
      | ~ ( esk4_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_525) ).

thf(2371,plain,
    ! [A: $i] :
      ( esk3_0
      | ~ ( esk4_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).

thf(829,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk12_2 @ A @ B )
      | ( esk18_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_829) ).

thf(2979,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk12_2 @ A @ B )
      | ( esk18_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[829]) ).

thf(1178,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1178) ).

thf(3676,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1178]) ).

thf(408,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_408) ).

thf(2137,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).

thf(1218,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1218) ).

thf(3756,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1218]) ).

thf(744,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S )
      | ~ ( p @ T )
      | ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_744) ).

thf(2809,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S )
      | ~ ( p @ T )
      | ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[744]) ).

thf(12,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_12) ).

thf(1345,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(739,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_739) ).

thf(2799,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[739]) ).

thf(659,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_659) ).

thf(2639,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[659]) ).

thf(391,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_391) ).

thf(2103,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).

thf(42,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_42) ).

thf(1405,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(953,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_953) ).

thf(3226,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[953]) ).

thf(311,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_311) ).

thf(1943,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).

thf(1134,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1134) ).

thf(3588,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1134]) ).

thf(188,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk284_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_188) ).

thf(1697,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk284_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).

thf(1143,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1143) ).

thf(3606,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1143]) ).

thf(1293,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1293) ).

thf(3906,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1293]) ).

thf(100,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_100) ).

thf(1521,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(1086,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1086) ).

thf(3492,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1086]) ).

thf(1043,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1043) ).

thf(3406,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1043]) ).

thf(442,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk12_2 @ A @ B )
      | ~ ( esk25_2 @ A @ B )
      | ~ ( esk13_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_442) ).

thf(2205,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk12_2 @ A @ B )
      | ~ ( esk25_2 @ A @ B )
      | ~ ( esk13_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).

thf(327,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk230_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_327) ).

thf(1975,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk230_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).

thf(1095,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk242_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z )
      | ~ ( p @ W )
      | ~ ( p @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1095) ).

thf(3510,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk242_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z )
      | ~ ( p @ W )
      | ~ ( p @ V ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1095]) ).

thf(271,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_271) ).

thf(1863,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).

thf(165,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_165) ).

thf(1651,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).

thf(345,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_345) ).

thf(2011,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).

thf(1131,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E )
      | ~ ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1131) ).

thf(3582,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E )
      | ~ ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1131]) ).

thf(845,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_845) ).

thf(3011,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[845]) ).

thf(1065,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1065) ).

thf(3450,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1065]) ).

thf(576,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_576) ).

thf(2473,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[576]) ).

thf(185,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk396_26 @ B @ C @ D @ E @ F @ G @ H @ A @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_185) ).

thf(1691,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk396_26 @ B @ C @ D @ E @ F @ G @ H @ A @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).

thf(1200,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1200) ).

thf(3720,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1200]) ).

thf(1266,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk37_5 @ A @ B @ C @ D @ E )
      | ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1266) ).

thf(3852,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk37_5 @ A @ B @ C @ D @ E )
      | ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1266]) ).

thf(933,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_933) ).

thf(3186,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[933]) ).

thf(493,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_493) ).

thf(2307,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).

thf(660,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk23_2 @ A @ B )
      | ~ ( esk24_2 @ A @ B )
      | ~ ( esk26_2 @ A @ B )
      | ~ ( esk25_2 @ A @ B )
      | ( esk11_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_660) ).

thf(2641,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk23_2 @ A @ B )
      | ~ ( esk24_2 @ A @ B )
      | ~ ( esk26_2 @ A @ B )
      | ~ ( esk25_2 @ A @ B )
      | ( esk11_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[660]) ).

thf(792,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_792) ).

thf(2905,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[792]) ).

thf(1049,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk371_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1049) ).

thf(3418,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk371_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1049]) ).

thf(858,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_858) ).

thf(3037,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[858]) ).

thf(363,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_363) ).

thf(2047,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).

thf(999,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_999) ).

thf(3318,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[999]) ).

thf(297,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_297) ).

thf(1915,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).

thf(386,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk34_5 @ A @ B @ C @ D @ E )
      | ~ ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_386) ).

thf(2093,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk34_5 @ A @ B @ C @ D @ E )
      | ~ ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).

thf(231,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_231) ).

thf(1783,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).

thf(708,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_708) ).

thf(2737,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[708]) ).

thf(381,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_381) ).

thf(2083,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).

thf(650,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_650) ).

thf(2621,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[650]) ).

thf(370,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_370) ).

thf(2061,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).

thf(1115,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1115) ).

thf(3550,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1115]) ).

thf(726,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_726) ).

thf(2773,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[726]) ).

thf(634,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_634) ).

thf(2589,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[634]) ).

thf(640,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_640) ).

thf(2601,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[640]) ).

thf(464,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_464) ).

thf(2249,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).

thf(610,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_610) ).

thf(2541,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[610]) ).

thf(99,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_99) ).

thf(1519,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(406,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_406) ).

thf(2133,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).

thf(413,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_413) ).

thf(2147,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).

thf(215,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_215) ).

thf(1751,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).

thf(83,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk243_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_83) ).

thf(1487,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk243_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(1145,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk27_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1145) ).

thf(3610,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk27_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1145]) ).

thf(1216,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1216) ).

thf(3752,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1216]) ).

thf(1247,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1247) ).

thf(3814,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1247]) ).

thf(965,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_965) ).

thf(3250,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[965]) ).

thf(1172,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1172) ).

thf(3664,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1172]) ).

thf(560,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_560) ).

thf(2441,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[560]) ).

thf(676,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_676) ).

thf(2673,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[676]) ).

thf(692,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_692) ).

thf(2705,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[692]) ).

thf(544,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_544) ).

thf(2409,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).

thf(33,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_33) ).

thf(1387,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(201,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_201) ).

thf(1723,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).

thf(706,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_706) ).

thf(2733,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[706]) ).

thf(11,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_11) ).

thf(1343,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(742,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_742) ).

thf(2805,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[742]) ).

thf(17,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_17) ).

thf(1355,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(478,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_478) ).

thf(2277,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).

thf(1211,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1211) ).

thf(3742,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1211]) ).

thf(824,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_824) ).

thf(2969,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[824]) ).

thf(1282,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1282) ).

thf(3884,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1282]) ).

thf(808,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk402_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_808) ).

thf(2937,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk402_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[808]) ).

thf(917,axiom,
    ! [A: $i] :
      ( ~ ( esk8_1 @ A )
      | ( esk5_1 @ A )
      | ~ ( esk9_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_917) ).

thf(3154,plain,
    ! [A: $i] :
      ( ~ ( esk8_1 @ A )
      | ( esk5_1 @ A )
      | ~ ( esk9_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[917]) ).

thf(907,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_907) ).

thf(3134,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[907]) ).

thf(1248,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1248) ).

thf(3816,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1248]) ).

thf(149,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk319_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_149) ).

thf(1619,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk319_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).

thf(1097,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1097) ).

thf(3514,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1097]) ).

thf(1181,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1181) ).

thf(3682,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk260_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1181]) ).

thf(1229,axiom,
    ! [B: $i,A: $i] :
      ( ( esk25_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1229) ).

thf(3778,plain,
    ! [B: $i,A: $i] :
      ( ( esk25_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1229]) ).

thf(347,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_347) ).

thf(2015,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).

thf(983,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_983) ).

thf(3286,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[983]) ).

thf(281,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_281) ).

thf(1883,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).

thf(776,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_776) ).

thf(2873,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[776]) ).

thf(1129,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B )
      | ( esk19_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1129) ).

thf(3578,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk21_2 @ A @ B )
      | ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B )
      | ( esk19_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1129]) ).

thf(315,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_315) ).

thf(1951,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).

thf(1199,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1199) ).

thf(3718,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1199]) ).

thf(644,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_644) ).

thf(2609,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[644]) ).

thf(429,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_429) ).

thf(2179,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).

thf(710,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_710) ).

thf(2741,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[710]) ).

thf(126,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_126) ).

thf(1573,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(724,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_724) ).

thf(2769,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[724]) ).

thf(666,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_666) ).

thf(2653,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[666]) ).

thf(981,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_981) ).

thf(3282,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[981]) ).

thf(51,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_51) ).

thf(1423,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(1314,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1314) ).

thf(3948,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1314]) ).

thf(923,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_923) ).

thf(3166,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[923]) ).

thf(1319,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1319) ).

thf(3958,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1319]) ).

thf(562,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_562) ).

thf(2445,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[562]) ).

thf(258,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_258) ).

thf(1837,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).

thf(1149,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk34_5 @ A @ B @ C @ D @ E )
      | ~ ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1149) ).

thf(3618,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk34_5 @ A @ B @ C @ D @ E )
      | ~ ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1149]) ).

thf(22,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_22) ).

thf(1365,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(1245,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1245) ).

thf(3810,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1245]) ).

thf(556,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_556) ).

thf(2433,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[556]) ).

thf(578,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_578) ).

thf(2477,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[578]) ).

thf(885,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_885) ).

thf(3090,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[885]) ).

thf(622,axiom,
    ( ~ esk2_0
    | ~ esk3_0
    | esk1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_622) ).

thf(2565,plain,
    ( ~ esk2_0
    | ~ esk3_0
    | esk1_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[622]) ).

thf(939,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_939) ).

thf(3198,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[939]) ).

thf(671,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk347_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ B @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_671) ).

thf(2663,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk347_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ B @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[671]) ).

thf(117,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_117) ).

thf(1555,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(997,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_997) ).

thf(3314,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[997]) ).

thf(872,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_872) ).

thf(3065,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[872]) ).

thf(1215,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk286_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1215) ).

thf(3750,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk286_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1215]) ).

thf(1118,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1118) ).

thf(3556,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1118]) ).

thf(1140,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1140) ).

thf(3600,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1140]) ).

thf(183,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk37_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_183) ).

thf(1687,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk37_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).

thf(68,axiom,
    ! [B: $i,A: $i] :
      ( ( esk24_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_68) ).

thf(1457,plain,
    ! [B: $i,A: $i] :
      ( ( esk24_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(1287,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1287) ).

thf(3894,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1287]) ).

thf(249,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_249) ).

thf(1819,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).

thf(1113,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1113) ).

thf(3546,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1113]) ).

thf(912,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_912) ).

thf(3144,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[912]) ).

thf(233,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk396_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_233) ).

thf(1787,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk396_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).

thf(430,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_430) ).

thf(2181,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).

thf(503,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_503) ).

thf(2327,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).

thf(446,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_446) ).

thf(2213,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).

thf(512,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_512) ).

thf(2345,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).

thf(1303,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1303) ).

thf(3926,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1303]) ).

thf(445,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_445) ).

thf(2211,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).

thf(43,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_43) ).

thf(1407,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(613,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk240_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_613) ).

thf(2547,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk240_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[613]) ).

thf(496,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk97_11 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk344_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ B @ C @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_496) ).

thf(2313,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk97_11 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk344_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ B @ C @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).

thf(856,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_856) ).

thf(3033,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[856]) ).

thf(1044,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1044) ).

thf(3408,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1044]) ).

thf(462,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_462) ).

thf(2245,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).

thf(1232,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1232) ).

thf(3784,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1232]) ).

thf(331,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_331) ).

thf(1983,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).

thf(1271,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1271) ).

thf(3862,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1271]) ).

thf(787,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_787) ).

thf(2895,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[787]) ).

thf(760,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_760) ).

thf(2841,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[760]) ).

thf(628,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_628) ).

thf(2577,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[628]) ).

thf(694,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk22_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_694) ).

thf(2709,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk22_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[694]) ).

thf(949,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_949) ).

thf(3218,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[949]) ).

thf(133,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_133) ).

thf(1587,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(52,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_52) ).

thf(1425,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(879,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ A @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_879) ).

thf(3078,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ A @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[879]) ).

thf(1165,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1165) ).

thf(3650,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1165]) ).

thf(1060,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1060) ).

thf(3440,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1060]) ).

thf(840,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_840) ).

thf(3001,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[840]) ).

thf(1231,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1231) ).

thf(3782,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1231]) ).

thf(110,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_110) ).

thf(1541,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(418,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_418) ).

thf(2157,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).

thf(397,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_397) ).

thf(2115,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).

thf(1081,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1081) ).

thf(3482,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1081]) ).

thf(597,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_597) ).

thf(2515,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[597]) ).

thf(967,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_967) ).

thf(3254,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[967]) ).

thf(265,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_265) ).

thf(1851,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).

thf(901,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_901) ).

thf(3122,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[901]) ).

thf(528,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_528) ).

thf(2377,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).

thf(740,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_740) ).

thf(2801,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[740]) ).

thf(316,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_316) ).

thf(1953,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).

thf(682,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_682) ).

thf(2685,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[682]) ).

thf(826,axiom,
    ! [B: $i,A: $i] :
      ( ( esk23_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_826) ).

thf(2973,plain,
    ! [B: $i,A: $i] :
      ( ( esk23_2 @ A @ B )
      | ~ ( esk11_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[826]) ).

thf(519,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_519) ).

thf(2359,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).

thf(27,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_27) ).

thf(1375,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk88_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(594,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_594) ).

thf(2509,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[594]) ).

thf(891,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G )
      | ( p @ F )
      | ~ ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_891) ).

thf(3102,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G )
      | ( p @ F )
      | ~ ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[891]) ).

thf(1192,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1192) ).

thf(3704,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1192]) ).

thf(1099,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1099) ).

thf(3518,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1099]) ).

thf(1322,axiom,
    true != false,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true_not_false) ).

thf(3963,plain,
    true != false,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1322]) ).

thf(1033,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1033) ).

thf(3386,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1033]) ).

thf(655,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_655) ).

thf(2631,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[655]) ).

thf(199,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_199) ).

thf(1719,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).

thf(608,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_608) ).

thf(2537,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[608]) ).

thf(1156,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1156) ).

thf(3632,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1156]) ).

thf(1213,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1213) ).

thf(3746,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1213]) ).

thf(1298,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk420_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ B @ C )
      | ( p @ E )
      | ~ ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1298) ).

thf(3916,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk420_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ B @ C )
      | ( p @ E )
      | ~ ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1298]) ).

thf(217,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk369_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_217) ).

thf(1755,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk369_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).

thf(928,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk290_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_928) ).

thf(3176,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk290_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[928]) ).

thf(38,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_38) ).

thf(1397,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(123,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_123) ).

thf(1567,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(20,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_20) ).

thf(1361,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(501,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_501) ).

thf(2323,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).

thf(1263,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( p @ U )
      | ( p @ V )
      | ~ ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ V @ U @ W @ X @ Y @ Z )
      | ~ ( p @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1263) ).

thf(3846,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( p @ U )
      | ( p @ V )
      | ~ ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ V @ U @ W @ X @ Y @ Z )
      | ~ ( p @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1263]) ).

thf(1151,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1151) ).

thf(3622,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1151]) ).

thf(1138,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk43_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1138) ).

thf(3596,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk43_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1138]) ).

thf(549,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_549) ).

thf(2419,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).

thf(567,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk35_5 @ A @ B @ C @ D @ E )
      | ~ ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_567) ).

thf(2455,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk35_5 @ A @ B @ C @ D @ E )
      | ~ ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[567]) ).

thf(366,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_366) ).

thf(2053,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).

thf(284,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_284) ).

thf(1889,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).

thf(664,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_664) ).

thf(2649,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[664]) ).

thf(86,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_86) ).

thf(1493,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(181,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_181) ).

thf(1683,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).

thf(1317,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1317) ).

thf(3954,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1317]) ).

thf(4,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk26_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_4) ).

thf(1329,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk26_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(1316,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1316) ).

thf(3952,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1316]) ).

thf(778,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_778) ).

thf(2877,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[778]) ).

thf(351,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_351) ).

thf(2023,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).

thf(1003,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1003) ).

thf(3326,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1003]) ).

thf(169,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_169) ).

thf(1659,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).

thf(1301,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk8_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1301) ).

thf(3922,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk8_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1301]) ).

thf(620,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_620) ).

thf(2561,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[620]) ).

thf(945,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_945) ).

thf(3210,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[945]) ).

thf(887,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_887) ).

thf(3094,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[887]) ).

thf(209,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_209) ).

thf(1739,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).

thf(70,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_70) ).

thf(1461,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(1197,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1197) ).

thf(3714,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1197]) ).

thf(1204,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z )
      | ~ ( p @ W )
      | ~ ( p @ V )
      | ~ ( esk182_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1204) ).

thf(3728,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z )
      | ~ ( p @ W )
      | ~ ( p @ V )
      | ~ ( esk182_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1204]) ).

thf(646,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_646) ).

thf(2613,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[646]) ).

thf(308,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk18_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_308) ).

thf(1937,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk18_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).

thf(235,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_235) ).

thf(1791,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).

thf(1054,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1054) ).

thf(3428,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk256_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1054]) ).

thf(937,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_937) ).

thf(3194,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[937]) ).

thf(514,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_514) ).

thf(2349,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).

thf(615,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk32_5 @ A @ B @ C @ D @ E )
      | ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_615) ).

thf(2551,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk32_5 @ A @ B @ C @ D @ E )
      | ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[615]) ).

thf(382,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_382) ).

thf(2085,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).

thf(498,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_498) ).

thf(2317,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).

thf(987,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_987) ).

thf(3294,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[987]) ).

thf(730,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_730) ).

thf(2781,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[730]) ).

thf(49,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_49) ).

thf(1419,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(961,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_961) ).

thf(3242,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[961]) ).

thf(1168,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1168) ).

thf(3656,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1168]) ).

thf(599,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_599) ).

thf(2519,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[599]) ).

thf(65,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_65) ).

thf(1451,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(109,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_109) ).

thf(1539,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(1225,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1225) ).

thf(3770,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1225]) ).

thf(517,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_517) ).

thf(2355,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).

thf(239,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_239) ).

thf(1799,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).

thf(313,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_313) ).

thf(1947,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).

thf(746,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk243_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ C @ B @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_746) ).

thf(2813,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk243_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ C @ B @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[746]) ).

thf(1154,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1154) ).

thf(3628,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1154]) ).

thf(197,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk27_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_197) ).

thf(1715,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk421_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk27_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).

thf(252,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_252) ).

thf(1825,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).

thf(482,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_482) ).

thf(2285,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).

thf(1083,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1083) ).

thf(3486,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1083]) ).

thf(402,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_402) ).

thf(2125,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).

thf(1167,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1167) ).

thf(3654,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1167]) ).

thf(903,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_903) ).

thf(3126,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[903]) ).

thf(680,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_680) ).

thf(2681,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[680]) ).

thf(583,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk19_2 @ D @ E )
      | ~ ( esk419_26 @ D @ E @ B @ A @ C @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_583) ).

thf(2487,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk19_2 @ D @ E )
      | ~ ( esk419_26 @ D @ E @ B @ A @ C @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[583]) ).

thf(762,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk18_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_762) ).

thf(2845,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk18_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[762]) ).

thf(869,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_869) ).

thf(3059,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[869]) ).

thf(1017,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1017) ).

thf(3354,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1017]) ).

thf(416,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_416) ).

thf(2153,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).

thf(533,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_533) ).

thf(2387,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).

thf(255,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_255) ).

thf(1831,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).

thf(765,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_765) ).

thf(2851,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[765]) ).

thf(461,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_461) ).

thf(2243,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).

thf(630,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_630) ).

thf(2581,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[630]) ).

thf(572,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_572) ).

thf(2465,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[572]) ).

thf(592,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_592) ).

thf(2505,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk58_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[592]) ).

thf(1035,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1035) ).

thf(3390,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1035]) ).

thf(951,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_951) ).

thf(3222,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[951]) ).

thf(1110,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1110) ).

thf(3540,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1110]) ).

thf(588,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk67_8 @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( esk371_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J )
      | ~ ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_588) ).

thf(2497,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk67_8 @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( esk371_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J )
      | ~ ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[588]) ).

thf(1220,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1220) ).

thf(3760,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1220]) ).

thf(54,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk6_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_54) ).

thf(1429,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk6_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(1186,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1186) ).

thf(3692,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1186]) ).

thf(139,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_139) ).

thf(1599,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(688,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_688) ).

thf(2697,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[688]) ).

thf(329,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_329) ).

thf(1979,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).

thf(877,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_877) ).

thf(3074,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[877]) ).

thf(842,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_842) ).

thf(3005,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[842]) ).

thf(1300,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1300) ).

thf(3920,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1300]) ).

thf(1022,axiom,
    ! [A: $i] :
      ( ( esk9_1 @ A )
      | ~ ( esk5_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1022) ).

thf(3364,plain,
    ! [A: $i] :
      ( ( esk9_1 @ A )
      | ~ ( esk5_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1022]) ).

thf(921,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk12_2 @ A @ B )
      | ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_921) ).

thf(3162,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk12_2 @ A @ B )
      | ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[921]) ).

thf(219,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_219) ).

thf(1759,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).

thf(36,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk20_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_36) ).

thf(1393,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk20_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(153,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_153) ).

thf(1627,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).

thf(102,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_102) ).

thf(1525,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(1067,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1067) ).

thf(3454,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1067]) ).

thf(1241,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1241) ).

thf(3802,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1241]) ).

thf(441,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_441) ).

thf(2203,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).

thf(720,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_720) ).

thf(2761,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[720]) ).

thf(361,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_361) ).

thf(2043,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk7_1 @ A )
      | ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).

thf(187,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_187) ).

thf(1695,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).

thf(781,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_781) ).

thf(2883,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk359_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[781]) ).

thf(1268,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1268) ).

thf(3856,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1268]) ).

thf(121,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_121) ).

thf(1563,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(821,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_821) ).

thf(2963,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[821]) ).

thf(797,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_797) ).

thf(2915,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[797]) ).

thf(648,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_648) ).

thf(2617,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk215_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[648]) ).

thf(794,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_794) ).

thf(2909,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[794]) ).

thf(1078,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1078) ).

thf(3476,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1078]) ).

thf(6,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_6) ).

thf(1333,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(1252,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1252) ).

thf(3824,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1252]) ).

thf(714,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk261_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ C @ A @ B @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_714) ).

thf(2749,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk261_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ C @ A @ B @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[714]) ).

thf(268,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_268) ).

thf(1857,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ X ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).

thf(335,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk51_5 @ A @ B @ C @ D @ E )
      | ( esk29_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_335) ).

thf(1991,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk51_5 @ A @ B @ C @ D @ E )
      | ( esk29_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).

thf(1257,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1257) ).

thf(3834,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1257]) ).

thf(229,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk19_2 @ A @ B )
      | ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_229) ).

thf(1779,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk19_2 @ A @ B )
      | ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).

thf(1152,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk342_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1152) ).

thf(3624,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk342_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1152]) ).

thf(368,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_368) ).

thf(2057,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).

thf(993,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_993) ).

thf(3306,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk63_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[993]) ).

thf(1136,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ( esk23_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1136) ).

thf(3592,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ( esk23_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1136]) ).

thf(736,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_736) ).

thf(2793,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[736]) ).

thf(171,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_171) ).

thf(1663,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).

thf(384,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk258_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_384) ).

thf(2089,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk258_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).

thf(935,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk314_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_935) ).

thf(3190,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk314_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[935]) ).

thf(97,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_97) ).

thf(1515,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(450,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_450) ).

thf(2221,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk185_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).

thf(1094,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1094) ).

thf(3508,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1094]) ).

thf(287,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_287) ).

thf(1895,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).

thf(662,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_662) ).

thf(2645,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[662]) ).

thf(434,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_434) ).

thf(2189,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).

thf(1051,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk345_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1051) ).

thf(3422,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk345_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1051]) ).

thf(837,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_837) ).

thf(2995,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[837]) ).

thf(551,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_551) ).

thf(2423,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk277_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).

thf(604,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk319_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ C @ A @ B @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_604) ).

thf(2529,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk319_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ C @ A @ B @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[604]) ).

thf(704,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_704) ).

thf(2729,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[704]) ).

thf(203,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk16_2 @ A @ B )
      | ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_203) ).

thf(1727,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk16_2 @ A @ B )
      | ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).

thf(678,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M )
      | ( p @ L )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_678) ).

thf(2677,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk320_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M )
      | ( p @ L )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[678]) ).

thf(535,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_535) ).

thf(2391,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).

thf(319,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_319) ).

thf(1959,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).

thf(632,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_632) ).

thf(2585,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[632]) ).

thf(698,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_698) ).

thf(2717,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[698]) ).

thf(1285,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk48_5 @ A @ B @ C @ D @ E )
      | ~ ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1285) ).

thf(3890,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk48_5 @ A @ B @ C @ D @ E )
      | ~ ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1285]) ).

thf(81,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_81) ).

thf(1483,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(303,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_303) ).

thf(1927,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).

thf(971,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_971) ).

thf(3262,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[971]) ).

thf(1236,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1236) ).

thf(3792,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1236]) ).

thf(977,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_977) ).

thf(3274,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[977]) ).

thf(1183,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1183) ).

thf(3686,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1183]) ).

thf(1188,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1188) ).

thf(3696,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1188]) ).

thf(1038,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( p @ B )
      | ~ ( esk318_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ B @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1038) ).

thf(3396,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( p @ B )
      | ~ ( esk318_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ B @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1038]) ).

thf(155,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_155) ).

thf(1631,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).

thf(919,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_919) ).

thf(3158,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[919]) ).

thf(400,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_400) ).

thf(2121,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).

thf(457,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_457) ).

thf(2235,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk195_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).

thf(1170,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1170) ).

thf(3660,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1170]) ).

thf(340,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_340) ).

thf(2001,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).

thf(546,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk40_5 @ C @ D @ E @ F @ G )
      | ~ ( esk398_26 @ C @ D @ E @ F @ G @ H @ A @ B @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_546) ).

thf(2413,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk40_5 @ C @ D @ E @ F @ G )
      | ~ ( esk398_26 @ C @ D @ E @ F @ G @ H @ A @ B @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).

thf(905,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_905) ).

thf(3130,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[905]) ).

thf(1019,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk403_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E )
      | ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1019) ).

thf(3358,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk403_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E )
      | ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1019]) ).

thf(466,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_466) ).

thf(2253,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).

thf(477,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_477) ).

thf(2275,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).

thf(356,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk260_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_356) ).

thf(2033,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk260_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).

thf(414,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_414) ).

thf(2149,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).

thf(213,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_213) ).

thf(1747,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).

thf(810,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_810) ).

thf(2941,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[810]) ).

thf(1209,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ( esk48_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1209) ).

thf(3738,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ( esk48_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1209]) ).

thf(137,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_137) ).

thf(1595,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(1284,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1284) ).

thf(3888,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1284]) ).

thf(1108,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1108) ).

thf(3536,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1108]) ).

thf(1026,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1026) ).

thf(3372,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1026]) ).

thf(256,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_256) ).

thf(1833,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).

thf(1224,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1224) ).

thf(3768,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1224]) ).

thf(734,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_734) ).

thf(2789,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[734]) ).

thf(830,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_830) ).

thf(2981,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[830]) ).

thf(973,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk315_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_973) ).

thf(3266,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk315_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[973]) ).

thf(976,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_976) ).

thf(3272,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[976]) ).

thf(1290,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk50_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1290) ).

thf(3900,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk50_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1290]) ).

thf(1142,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1142) ).

thf(3604,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1142]) ).

thf(322,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk15_2 @ A @ B )
      | ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_322) ).

thf(1965,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk15_2 @ A @ B )
      | ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).

thf(687,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_687) ).

thf(2695,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[687]) ).

thf(753,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_753) ).

thf(2827,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk364_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk89_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[753]) ).

thf(819,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_819) ).

thf(2959,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk416_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[819]) ).

thf(875,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_875) ).

thf(3070,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[875]) ).

thf(703,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_703) ).

thf(2727,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[703]) ).

thf(1158,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1158) ).

thf(3636,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1158]) ).

thf(957,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_957) ).

thf(3234,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[957]) ).

thf(769,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_769) ).

thf(2859,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[769]) ).

thf(452,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_452) ).

thf(2225,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).

thf(1092,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1092) ).

thf(3504,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk132_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1092]) ).

thf(147,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_147) ).

thf(1615,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk285_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).

thf(34,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ M ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_34) ).

thf(1389,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ M ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(735,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_735) ).

thf(2791,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk417_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[735]) ).

thf(960,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_960) ).

thf(3240,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[960]) ).

thf(602,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_602) ).

thf(2525,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[602]) ).

thf(668,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_668) ).

thf(2657,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[668]) ).

thf(764,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk14_2 @ A @ B )
      | ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_764) ).

thf(2849,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk14_2 @ A @ B )
      | ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[764]) ).

thf(1076,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1076) ).

thf(3472,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1076]) ).

thf(584,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk29_5 @ A @ B @ C @ D @ E )
      | ( esk37_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_584) ).

thf(2489,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk29_5 @ A @ B @ C @ D @ E )
      | ( esk37_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[584]) ).

thf(536,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_536) ).

thf(2393,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).

thf(883,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_883) ).

thf(3086,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[883]) ).

thf(1208,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1208) ).

thf(3736,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1208]) ).

thf(1219,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1219) ).

thf(3758,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1219]) ).

thf(304,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_304) ).

thf(1929,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).

thf(107,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K )
      | ~ ( p @ J )
      | ~ ( p @ I )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_107) ).

thf(1535,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K )
      | ~ ( p @ J )
      | ~ ( p @ I )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(835,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk399_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_835) ).

thf(2991,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk399_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[835]) ).

thf(41,axiom,
    ! [B: $i,A: $i] :
      ( ( esk12_2 @ A @ B )
      | ( esk25_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_41) ).

thf(1403,plain,
    ! [B: $i,A: $i] :
      ( ( esk12_2 @ A @ B )
      | ( esk25_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(1069,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk14_2 @ A @ B )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1069) ).

thf(3458,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk14_2 @ A @ B )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1069]) ).

thf(237,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_237) ).

thf(1795,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).

thf(190,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_190) ).

thf(1701,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).

thf(1135,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1135) ).

thf(3590,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1135]) ).

thf(1042,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1042) ).

thf(3404,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1042]) ).

thf(1274,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1274) ).

thf(3868,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1274]) ).

thf(748,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk421_26 @ B @ C @ D @ A @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_748) ).

thf(2817,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk421_26 @ B @ C @ D @ A @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[748]) ).

thf(420,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K )
      | ~ ( p @ J )
      | ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_420) ).

thf(2161,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K )
      | ~ ( p @ J )
      | ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).

thf(899,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M )
      | ~ ( esk96_11 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_899) ).

thf(3118,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ M )
      | ~ ( esk96_11 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[899]) ).

thf(354,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_354) ).

thf(2029,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).

thf(1163,axiom,
    ! [A: $i] :
      ( ( esk5_1 @ A )
      | ~ esk3_0
      | ( esk4_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1163) ).

thf(3646,plain,
    ! [A: $i] :
      ( ( esk5_1 @ A )
      | ~ esk3_0
      | ( esk4_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1163]) ).

thf(1005,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1005) ).

thf(3330,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1005]) ).

thf(367,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_367) ).

thf(2055,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk401_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).

thf(1190,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk15_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1190) ).

thf(3700,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk15_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1190]) ).

thf(992,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk368_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_992) ).

thf(3304,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk368_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[992]) ).

thf(925,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_925) ).

thf(3170,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[925]) ).

thf(177,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk231_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ B @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_177) ).

thf(1675,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk231_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ B @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).

thf(1106,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1106) ).

thf(3532,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1106]) ).

thf(1238,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1238) ).

thf(3796,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1238]) ).

thf(91,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_91) ).

thf(1503,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(436,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_436) ).

thf(2193,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).

thf(851,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_851) ).

thf(3023,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[851]) ).

thf(174,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_174) ).

thf(1669,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).

thf(193,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R )
      | ~ ( p @ T )
      | ( p @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_193) ).

thf(1707,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R )
      | ~ ( p @ T )
      | ( p @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).

thf(486,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk34_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_486) ).

thf(2293,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk34_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).

thf(865,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_865) ).

thf(3051,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[865]) ).

thf(785,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_785) ).

thf(2891,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[785]) ).

thf(1203,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1203) ).

thf(3726,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1203]) ).

thf(25,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_25) ).

thf(1371,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(944,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_944) ).

thf(3208,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[944]) ).

thf(272,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk47_5 @ A @ B @ C @ D @ E )
      | ~ ( esk46_5 @ A @ B @ C @ D @ E )
      | ~ ( esk51_5 @ A @ B @ C @ D @ E )
      | ~ ( esk48_5 @ A @ B @ C @ D @ E )
      | ~ ( esk52_5 @ A @ B @ C @ D @ E )
      | ~ ( esk44_5 @ A @ B @ C @ D @ E )
      | ~ ( esk45_5 @ A @ B @ C @ D @ E )
      | ~ ( esk43_5 @ A @ B @ C @ D @ E )
      | ~ ( esk49_5 @ A @ B @ C @ D @ E )
      | ( esk28_5 @ A @ B @ C @ D @ E )
      | ~ ( esk50_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_272) ).

thf(1865,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk47_5 @ A @ B @ C @ D @ E )
      | ~ ( esk46_5 @ A @ B @ C @ D @ E )
      | ~ ( esk51_5 @ A @ B @ C @ D @ E )
      | ~ ( esk48_5 @ A @ B @ C @ D @ E )
      | ~ ( esk52_5 @ A @ B @ C @ D @ E )
      | ~ ( esk44_5 @ A @ B @ C @ D @ E )
      | ~ ( esk45_5 @ A @ B @ C @ D @ E )
      | ~ ( esk43_5 @ A @ B @ C @ D @ E )
      | ~ ( esk49_5 @ A @ B @ C @ D @ E )
      | ( esk28_5 @ A @ B @ C @ D @ E )
      | ~ ( esk50_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).

thf(157,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_157) ).

thf(1635,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).

thf(807,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_807) ).

thf(2935,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk78_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[807]) ).

thf(206,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_206) ).

thf(1733,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).

thf(338,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_338) ).

thf(1997,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk81_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).

thf(1010,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1010) ).

thf(3340,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk149_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1010]) ).

thf(1137,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1137) ).

thf(3594,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1137]) ).

thf(719,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_719) ).

thf(2759,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[719]) ).

thf(716,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_716) ).

thf(2753,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[716]) ).

thf(1058,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1058) ).

thf(3436,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk295_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1058]) ).

thf(1256,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1256) ).

thf(3832,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1256]) ).

thf(222,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_222) ).

thf(1765,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).

thf(568,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_568) ).

thf(2457,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[568]) ).

thf(288,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_288) ).

thf(1897,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk235_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).

thf(618,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_618) ).

thf(2557,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[618]) ).

thf(552,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_552) ).

thf(2425,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk255_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).

thf(1048,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk8_1 @ A )
      | ~ ( p @ A )
      | ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1048) ).

thf(3416,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk8_1 @ A )
      | ~ ( p @ A )
      | ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1048]) ).

thf(991,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_991) ).

thf(3302,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[991]) ).

thf(1124,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1124) ).

thf(3568,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1124]) ).

thf(626,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_626) ).

thf(2573,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[626]) ).

thf(499,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_499) ).

thf(2319,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).

thf(1179,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1179) ).

thf(3678,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1179]) ).

thf(600,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H )
      | ( p @ F )
      | ( p @ G )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_600) ).

thf(2521,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H )
      | ( p @ F )
      | ( p @ G )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[600]) ).

thf(679,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_679) ).

thf(2679,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[679]) ).

thf(266,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_266) ).

thf(1853,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).

thf(658,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_658) ).

thf(2637,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[658]) ).

thf(674,axiom,
    ! [A: $i] :
      ( ~ ( esk4_1 @ A )
      | ~ ( p @ A )
      | ~ esk2_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_674) ).

thf(2669,plain,
    ! [A: $i] :
      ( ~ ( esk4_1 @ A )
      | ~ ( p @ A )
      | ~ esk2_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[674]) ).

thf(759,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_759) ).

thf(2839,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[759]) ).

thf(240,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk123_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( p @ P )
      | ~ ( esk313_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_240) ).

thf(1801,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk123_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ( p @ P )
      | ~ ( esk313_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).

thf(1032,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1032) ).

thf(3384,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1032]) ).

thf(372,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_372) ).

thf(2065,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).

thf(379,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_379) ).

thf(2079,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).

thf(520,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_520) ).

thf(2361,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).

thf(495,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_495) ).

thf(2311,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).

thf(700,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_700) ).

thf(2721,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[700]) ).

thf(399,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_399) ).

thf(2119,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).

thf(1016,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1016) ).

thf(3352,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1016]) ).

thf(415,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_415) ).

thf(2151,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).

thf(454,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_454) ).

thf(2229,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk303_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).

thf(959,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_959) ).

thf(3238,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[959]) ).

thf(531,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_531) ).

thf(2383,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).

thf(1222,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1222) ).

thf(3764,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1222]) ).

thf(547,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk46_5 @ A @ B @ C @ D @ E )
      | ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_547) ).

thf(2415,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk46_5 @ A @ B @ C @ D @ E )
      | ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).

thf(586,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_586) ).

thf(2493,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[586]) ).

thf(833,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_833) ).

thf(2987,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk150_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[833]) ).

thf(14,axiom,
    ( ~ esk1_0
    | esk3_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_14) ).

thf(1349,plain,
    ( ~ esk1_0
    | esk3_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(388,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_388) ).

thf(2097,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).

thf(975,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_975) ).

thf(3270,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[975]) ).

thf(1206,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1206) ).

thf(3732,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk222_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1206]) ).

thf(306,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk243_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_306) ).

thf(1933,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk211_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk243_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).

thf(468,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_468) ).

thf(2257,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk411_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).

thf(134,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_134) ).

thf(1589,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(817,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_817) ).

thf(2955,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[817]) ).

thf(141,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_141) ).

thf(1603,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(489,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_489) ).

thf(2299,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).

thf(893,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_893) ).

thf(3106,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[893]) ).

thf(1074,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1074) ).

thf(3468,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1074]) ).

thf(225,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk46_5 @ A @ B @ C @ D @ E )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_225) ).

thf(1771,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk46_5 @ A @ B @ C @ D @ E )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).

thf(811,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_811) ).

thf(2943,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[811]) ).

thf(1195,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1195) ).

thf(3710,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1195]) ).

thf(812,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk15_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_812) ).

thf(2945,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk15_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[812]) ).

thf(1090,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1090) ).

thf(3500,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1090]) ).

thf(909,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_909) ).

thf(3138,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[909]) ).

thf(931,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_931) ).

thf(3182,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[931]) ).

thf(1133,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1133) ).

thf(3586,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1133]) ).

thf(125,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk345_26 @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ B @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_125) ).

thf(1571,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk345_26 @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ B @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(775,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_775) ).

thf(2871,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[775]) ).

thf(59,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_59) ).

thf(1439,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(438,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk402_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_438) ).

thf(2197,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk402_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).

thf(324,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_324) ).

thf(1969,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk348_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).

thf(920,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_920) ).

thf(3160,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[920]) ).

thf(352,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_352) ).

thf(2025,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk285_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).

thf(395,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_395) ).

thf(2111,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).

thf(336,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_336) ).

thf(1993,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).

thf(473,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_473) ).

thf(2267,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).

thf(718,axiom,
    ! [A: $i] :
      ( ( esk4_1 @ A )
      | ( p @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_718) ).

thf(2757,plain,
    ! [A: $i] :
      ( ( esk4_1 @ A )
      | ( p @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[718]) ).

thf(936,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_936) ).

thf(3192,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[936]) ).

thf(989,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk315_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( p @ Q )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_989) ).

thf(3298,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk315_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( p @ Q )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[989]) ).

thf(616,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_616) ).

thf(2553,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[616]) ).

thf(30,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_30) ).

thf(1381,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(570,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_570) ).

thf(2461,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[570]) ).

thf(795,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_795) ).

thf(2911,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[795]) ).

thf(1068,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1068) ).

thf(3456,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1068]) ).

thf(173,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_173) ).

thf(1667,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).

thf(278,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_278) ).

thf(1877,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk57_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).

thf(75,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_75) ).

thf(1471,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(9,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B )
      | ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_9) ).

thf(1339,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B )
      | ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(642,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_642) ).

thf(2605,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[642]) ).

thf(853,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_853) ).

thf(3027,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[853]) ).

thf(867,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_867) ).

thf(3055,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[867]) ).

thf(118,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_118) ).

thf(1557,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk90_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(404,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_404) ).

thf(2129,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk121_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).

thf(511,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_511) ).

thf(2343,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).

thf(1174,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk241_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1174) ).

thf(3668,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk241_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1174]) ).

thf(652,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk401_26 @ C @ D @ A @ E @ B @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_652) ).

thf(2625,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk401_26 @ C @ D @ A @ E @ B @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[652]) ).

thf(470,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_470) ).

thf(2261,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).

thf(250,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_250) ).

thf(1821,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).

thf(205,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_205) ).

thf(1731,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).

thf(1240,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk180_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
      | ~ ( p @ V )
      | ( p @ W )
      | ~ ( esk257_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1240) ).

thf(3800,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk180_20 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U )
      | ~ ( p @ V )
      | ( p @ W )
      | ~ ( esk257_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1240]) ).

thf(1126,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1126) ).

thf(3572,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1126]) ).

thf(1306,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1306) ).

thf(3932,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1306]) ).

thf(294,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_294) ).

thf(1909,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).

thf(801,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_801) ).

thf(2923,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[801]) ).

thf(2,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_2) ).

thf(1325,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1147,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1147) ).

thf(3614,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1147]) ).

thf(732,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk260_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_732) ).

thf(2785,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk193_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk260_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[732]) ).

thf(636,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_636) ).

thf(2593,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk115_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[636]) ).

thf(484,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_484) ).

thf(2289,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).

thf(663,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_663) ).

thf(2647,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[663]) ).

thf(915,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_915) ).

thf(3150,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[915]) ).

thf(504,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_504) ).

thf(2329,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk119_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).

thf(1080,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1080) ).

thf(3480,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk280_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1080]) ).

thf(377,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_377) ).

thf(2075,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).

thf(522,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_522) ).

thf(2365,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).

thf(425,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_425) ).

thf(2171,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).

thf(62,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_62) ).

thf(1445,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk368_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(895,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_895) ).

thf(3110,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[895]) ).

thf(161,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk21_2 @ B @ C )
      | ~ ( esk421_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D )
      | ~ ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_161) ).

thf(1643,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk21_2 @ B @ C )
      | ~ ( esk421_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D )
      | ~ ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).

thf(805,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H )
      | ~ ( p @ G )
      | ~ ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_805) ).

thf(2931,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H )
      | ~ ( p @ G )
      | ~ ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[805]) ).

thf(738,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_738) ).

thf(2797,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[738]) ).

thf(823,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_823) ).

thf(2967,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[823]) ).

thf(491,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk403_26 @ B @ C @ D @ A @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_491) ).

thf(2303,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk403_26 @ B @ C @ D @ A @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).

thf(443,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_443) ).

thf(2207,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).

thf(260,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_260) ).

thf(1841,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).

thf(559,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_559) ).

thf(2439,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[559]) ).

thf(702,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_702) ).

thf(2725,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[702]) ).

thf(540,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_540) ).

thf(2401,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk327_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).

thf(189,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_189) ).

thf(1699,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk389_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).

thf(1259,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1259) ).

thf(3838,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1259]) ).

thf(757,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_757) ).

thf(2835,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[757]) ).

thf(365,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_365) ).

thf(2051,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).

thf(722,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_722) ).

thf(2765,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[722]) ).

thf(580,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_580) ).

thf(2481,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[580]) ).

thf(409,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_409) ).

thf(2139,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).

thf(1243,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1243) ).

thf(3806,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk319_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk135_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1243]) ).

thf(524,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_524) ).

thf(2369,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).

thf(1177,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1177) ).

thf(3674,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1177]) ).

thf(227,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk50_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_227) ).

thf(1775,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk50_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).

thf(57,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_57) ).

thf(1435,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk220_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(656,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_656) ).

thf(2633,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[656]) ).

thf(995,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_995) ).

thf(3310,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[995]) ).

thf(78,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_78) ).

thf(1477,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(1193,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1193) ).

thf(3706,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk292_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1193]) ).

thf(911,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_911) ).

thf(3142,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk36_5 @ A @ B @ C @ D @ E )
      | ( esk45_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[911]) ).

thf(607,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_607) ).

thf(2535,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk177_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[607]) ).

thf(390,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_390) ).

thf(2101,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).

thf(1096,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1096) ).

thf(3512,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1096]) ).

thf(929,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_929) ).

thf(3178,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ A @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[929]) ).

thf(839,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_839) ).

thf(2999,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[839]) ).

thf(1014,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk32_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1014) ).

thf(3348,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk32_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1014]) ).

thf(1294,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1294) ).

thf(3908,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1294]) ).

thf(1278,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1278) ).

thf(3876,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1278]) ).

thf(686,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_686) ).

thf(2693,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[686]) ).

thf(326,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_326) ).

thf(1973,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).

thf(242,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_242) ).

thf(1805,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk38_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).

thf(374,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ M )
      | ~ ( p @ N )
      | ~ ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_374) ).

thf(2069,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ M )
      | ~ ( p @ N )
      | ~ ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).

thf(773,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_773) ).

thf(2867,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[773]) ).

thf(1085,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1085) ).

thf(3490,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1085]) ).

thf(1030,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1030) ).

thf(3380,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk35_5 @ A @ B @ C @ D @ E )
      | ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1030]) ).

thf(244,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_244) ).

thf(1809,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).

thf(276,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z )
      | ~ ( p @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_276) ).

thf(1873,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk232_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ A @ Y @ Z )
      | ~ ( p @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).

thf(73,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_73) ).

thf(1467,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(575,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk419_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_575) ).

thf(2471,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk419_26 @ B @ C @ D @ E @ A @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[575]) ).

thf(358,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk24_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_358) ).

thf(2037,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk24_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).

thf(591,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_591) ).

thf(2503,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[591]) ).

thf(913,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_913) ).

thf(3146,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[913]) ).

thf(506,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_506) ).

thf(2333,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).

thf(115,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C )
      | ~ ( p @ D )
      | ~ ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_115) ).

thf(1551,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk402_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ C )
      | ~ ( p @ D )
      | ~ ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(342,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_342) ).

thf(2005,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).

thf(46,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_46) ).

thf(1413,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(1101,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1101) ).

thf(3522,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1101]) ).

thf(844,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk44_5 @ A @ B @ C @ D @ E )
      | ~ ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_844) ).

thf(3009,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk44_5 @ A @ B @ C @ D @ E )
      | ~ ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[844]) ).

thf(1062,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk257_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1062) ).

thf(3444,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk257_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ A @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1062]) ).

thf(459,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_459) ).

thf(2239,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk320_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).

thf(855,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_855) ).

thf(3031,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[855]) ).

thf(131,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_131) ).

thf(1583,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk190_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk171_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(1308,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1308) ).

thf(3936,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1308]) ).

thf(393,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_393) ).

thf(2107,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).

thf(1128,axiom,
    ! [B: $i,A: $i] :
      ( ( esk25_2 @ A @ B )
      | ( esk13_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1128) ).

thf(3576,plain,
    ! [B: $i,A: $i] :
      ( ( esk25_2 @ A @ B )
      | ( esk13_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1128]) ).

thf(672,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_672) ).

thf(2665,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[672]) ).

thf(475,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_475) ).

thf(2271,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).

thf(943,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk44_5 @ A @ B @ C @ D @ E )
      | ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk31_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_943) ).

thf(3206,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk44_5 @ A @ B @ C @ D @ E )
      | ( esk410_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk31_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[943]) ).

thf(1176,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1176) ).

thf(3672,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk405_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1176]) ).

thf(292,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk43_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_292) ).

thf(1905,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk412_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk43_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).

thf(564,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk368_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_564) ).

thf(2449,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk368_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[564]) ).

thf(94,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_94) ).

thf(1509,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(803,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_803) ).

thf(2927,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk183_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[803]) ).

thf(654,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_654) ).

thf(2629,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[654]) ).

thf(979,axiom,
    ! [A: $i] :
      ( esk3_0
      | ~ ( esk5_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_979) ).

thf(3278,plain,
    ! [A: $i] :
      ( esk3_0
      | ~ ( esk5_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[979]) ).

thf(638,axiom,
    ! [A: $i] :
      ( ( p @ A )
      | ( esk8_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_638) ).

thf(2597,plain,
    ! [A: $i] :
      ( ( p @ A )
      | ( esk8_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[638]) ).

thf(986,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_986) ).

thf(3292,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[986]) ).

thf(789,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_789) ).

thf(2899,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk367_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[789]) ).

thf(113,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk20_2 @ A @ B )
      | ~ ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk15_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_113) ).

thf(1547,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk20_2 @ A @ B )
      | ~ ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk15_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(1028,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk33_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1028) ).

thf(3376,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk33_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1028]) ).

thf(697,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_697) ).

thf(2715,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[697]) ).

thf(320,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_320) ).

thf(1961,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).

thf(538,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_538) ).

thf(2397,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).

thf(670,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_670) ).

thf(2661,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk221_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[670]) ).

thf(211,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_211) ).

thf(1743,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk349_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).

thf(881,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_881) ).

thf(3082,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[881]) ).

thf(947,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk16_2 @ A @ B )
      | ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_947) ).

thf(3214,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk16_2 @ A @ B )
      | ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk408_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[947]) ).

thf(163,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_163) ).

thf(1647,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk87_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).

thf(750,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_750) ).

thf(2821,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[750]) ).

thf(1276,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk373_26 @ D @ E @ F @ G @ H @ A @ C @ B @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1276) ).

thf(3872,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk373_26 @ D @ E @ F @ G @ H @ A @ C @ B @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1276]) ).

thf(105,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_105) ).

thf(1531,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(1144,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1144) ).

thf(3608,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1144]) ).

thf(262,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_262) ).

thf(1845,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk22_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).

thf(596,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_596) ).

thf(2513,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk258_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[596]) ).

thf(623,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_623) ).

thf(2567,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[623]) ).

thf(1160,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1160) ).

thf(3640,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1160]) ).

thf(771,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk290_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_771) ).

thf(2863,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk290_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[771]) ).

thf(1261,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1261) ).

thf(3842,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk223_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1261]) ).

thf(896,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_896) ).

thf(3112,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[896]) ).

thf(828,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_828) ).

thf(2977,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk77_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[828]) ).

thf(145,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_145) ).

thf(1611,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk243_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(527,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_527) ).

thf(2375,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).

thf(411,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_411) ).

thf(2143,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk116_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).

thf(1292,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1292) ).

thf(3904,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk236_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1292]) ).

thf(142,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_142) ).

thf(1605,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(970,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_970) ).

thf(3260,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk206_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[970]) ).

thf(1217,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1217) ).

thf(3754,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1217]) ).

thf(310,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_310) ).

thf(1941,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk231_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk225_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).

thf(1071,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1071) ).

thf(3462,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1071]) ).

thf(954,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_954) ).

thf(3228,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[954]) ).

thf(427,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk31_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_427) ).

thf(2175,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk31_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).

thf(216,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_216) ).

thf(1753,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).

thf(543,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_543) ).

thf(2407,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).

thf(1233,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk376_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1233) ).

thf(3786,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk376_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1233]) ).

thf(755,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_755) ).

thf(2831,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk210_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[755]) ).

thf(684,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_684) ).

thf(2689,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[684]) ).

thf(1064,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1064) ).

thf(3448,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E )
      | ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1064]) ).

thf(1161,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1161) ).

thf(3642,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk318_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ A @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1161]) ).

thf(871,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_871) ).

thf(3063,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[871]) ).

thf(1201,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1201) ).

thf(3722,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk358_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1201]) ).

thf(1117,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1117) ).

thf(3554,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1117]) ).

thf(1012,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1012) ).

thf(3344,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1012]) ).

thf(232,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_232) ).

thf(1785,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk391_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).

thf(554,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_554) ).

thf(2429,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[554]) ).

thf(508,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_508) ).

thf(2337,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).

thf(449,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_449) ).

thf(2219,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).

thf(1254,axiom,
    ! [A: $i] :
      ( ( esk8_1 @ A )
      | ~ ( esk5_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1254) ).

thf(3828,plain,
    ! [A: $i] :
      ( ( esk8_1 @ A )
      | ~ ( esk5_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1254]) ).

thf(927,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_927) ).

thf(3174,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[927]) ).

thf(129,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_129) ).

thf(1579,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk372_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(860,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_860) ).

thf(3041,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk212_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[860]) ).

thf(195,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_195) ).

thf(1711,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).

thf(849,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_849) ).

thf(3019,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[849]) ).

thf(880,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_880) ).

thf(3080,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[880]) ).

thf(713,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_713) ).

thf(2747,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[713]) ).

thf(89,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_89) ).

thf(1499,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(624,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_624) ).

thf(2569,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk47_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[624]) ).

thf(963,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk232_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_963) ).

thf(3246,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk232_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[963]) ).

thf(333,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_333) ).

thf(1987,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).

thf(1310,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1310) ).

thf(3940,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk331_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1310]) ).

thf(422,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_422) ).

thf(2165,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).

thf(1249,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1249) ).

thf(3818,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1249]) ).

thf(246,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_246) ).

thf(1813,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).

thf(158,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_158) ).

thf(1637,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk145_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk306_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).

thf(897,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_897) ).

thf(3114,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk219_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[897]) ).

thf(1007,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1007) ).

thf(3334,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1007]) ).

thf(941,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_941) ).

thf(3202,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[941]) ).

thf(274,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_274) ).

thf(1869,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk187_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).

thf(1227,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1227) ).

thf(3774,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1227]) ).

thf(221,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_221) ).

thf(1763,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk371_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).

thf(290,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_290) ).

thf(1901,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk205_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).

thf(1112,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1112) ).

thf(3544,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1112]) ).

thf(690,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_690) ).

thf(2701,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[690]) ).

thf(791,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_791) ).

thf(2903,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk264_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[791]) ).

thf(612,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_612) ).

thf(2545,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[612]) ).

thf(639,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_639) ).

thf(2599,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[639]) ).

thf(179,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_179) ).

thf(1679,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).

thf(1046,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1046) ).

thf(3412,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk419_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1046]) ).

thf(1122,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk46_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1122) ).

thf(3564,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk46_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1122]) ).

thf(111,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_111) ).

thf(1543,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(396,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_396) ).

thf(2113,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).

thf(529,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_529) ).

thf(2379,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk362_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).

thf(827,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_827) ).

thf(2975,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[827]) ).

thf(629,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_629) ).

thf(2579,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk271_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[629]) ).

thf(1034,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1034) ).

thf(3388,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1034]) ).

thf(238,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_238) ).

thf(1797,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).

thf(814,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk318_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_814) ).

thf(2949,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk318_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk136_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[814]) ).

thf(198,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_198) ).

thf(1717,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).

thf(809,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_809) ).

thf(2939,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[809]) ).

thf(1321,axiom,
    ~ ( p @ false ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_false) ).

thf(3961,plain,
    ~ ( p @ false ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1321]) ).

thf(968,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_968) ).

thf(3256,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk175_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[968]) ).

thf(843,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_843) ).

thf(3007,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[843]) ).

thf(1039,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1039) ).

thf(3398,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk21_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1039]) ).

thf(148,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_148) ).

thf(1617,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk246_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(677,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_677) ).

thf(2675,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[677]) ).

thf(463,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_463) ).

thf(2247,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk330_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).

thf(545,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_545) ).

thf(2411,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk257_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).

thf(1084,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1084) ).

thf(3488,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk143_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1084]) ).

thf(264,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_264) ).

thf(1849,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).

thf(1166,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk11_2 @ A @ B )
      | ( esk9_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1166) ).

thf(3652,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk11_2 @ A @ B )
      | ( esk9_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1166]) ).

thf(902,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_902) ).

thf(3124,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[902]) ).

thf(330,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk373_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_330) ).

thf(1981,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk373_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).

thf(611,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk284_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_611) ).

thf(2543,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk284_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[611]) ).

thf(1018,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1018) ).

thf(3356,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk251_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk250_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1018]) ).

thf(16,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_16) ).

thf(1353,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(479,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_479) ).

thf(2279,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk117_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk301_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).

thf(518,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_518) ).

thf(2357,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk293_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).

thf(317,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_317) ).

thf(1955,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk198_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).

thf(761,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_761) ).

thf(2843,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk186_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[761]) ).

thf(412,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_412) ).

thf(2145,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk227_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).

thf(82,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_82) ).

thf(1485,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(695,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk344_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_695) ).

thf(2711,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk344_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[695]) ).

thf(214,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_214) ).

thf(1749,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).

thf(952,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_952) ).

thf(3224,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[952]) ).

thf(53,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_53) ).

thf(1427,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(132,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_132) ).

thf(1585,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(595,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_595) ).

thf(2511,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk79_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[595]) ).

thf(280,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_280) ).

thf(1881,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk395_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).

thf(743,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_743) ).

thf(2807,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[743]) ).

thf(918,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk260_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ B @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_918) ).

thf(3156,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( esk260_26 @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ B @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[918]) ).

thf(1297,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1297) ).

thf(3914,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk80_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1297]) ).

thf(1100,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1100) ).

thf(3520,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1100]) ).

thf(1023,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1023) ).

thf(3366,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk268_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1023]) ).

thf(1182,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1182) ).

thf(3684,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk344_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1182]) ).

thf(984,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_984) ).

thf(3288,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[984]) ).

thf(1313,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1313) ).

thf(3946,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1313]) ).

thf(1066,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1066) ).

thf(3452,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1066]) ).

thf(164,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_164) ).

thf(1649,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).

thf(579,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z )
      | ~ ( esk203_23 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X )
      | ( p @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_579) ).

thf(2479,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk239_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z )
      | ~ ( esk203_23 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X )
      | ( p @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[579]) ).

thf(873,axiom,
    esk1_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_873) ).

thf(3067,plain,
    esk1_0,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[873]) ).

thf(116,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk28_5 @ A @ B @ C @ D @ E )
      | ~ ( esk26_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_116) ).

thf(1553,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk27_5 @ A @ B @ C @ D @ E )
      | ( esk28_5 @ A @ B @ C @ D @ E )
      | ~ ( esk26_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(314,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_314) ).

thf(1949,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk336_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).

thf(248,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_248) ).

thf(1817,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk259_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).

thf(296,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_296) ).

thf(1913,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).

thf(1277,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1277) ).

thf(3874,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk284_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1277]) ).

thf(513,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_513) ).

thf(2347,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).

thf(859,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_859) ).

thf(3039,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk178_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk244_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[859]) ).

thf(772,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_772) ).

thf(2865,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk73_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[772]) ).

thf(777,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_777) ).

thf(2875,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[777]) ).

thf(924,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_924) ).

thf(3168,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk207_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[924]) ).

thf(557,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk288_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ C @ B @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_557) ).

thf(2435,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk288_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ C @ B @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[557]) ).

thf(982,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk292_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_982) ).

thf(3284,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk292_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[982]) ).

thf(50,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_50) ).

thf(1421,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk38_5 @ A @ B @ C @ D @ E )
      | ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ( esk42_5 @ A @ B @ C @ D @ E )
      | ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk39_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(346,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_346) ).

thf(2013,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk254_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).

thf(1040,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk422_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1040) ).

thf(3400,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk422_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1040]) ).

thf(1079,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1079) ).

thf(3478,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk332_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1079]) ).

thf(1150,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1150) ).

thf(3620,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk42_5 @ A @ B @ C @ D @ E )
      | ~ ( esk393_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1150]) ).

thf(259,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk16_2 @ A @ B )
      | ~ ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk21_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_259) ).

thf(1839,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk16_2 @ A @ B )
      | ~ ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk21_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).

thf(1132,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1132) ).

thf(3584,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1132]) ).

thf(69,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk346_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_69) ).

thf(1459,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk346_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ A @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(362,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_362) ).

thf(2045,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).

thf(886,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_886) ).

thf(3092,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[886]) ).

thf(182,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_182) ).

thf(1685,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk200_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk237_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).

thf(782,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_782) ).

thf(2885,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk322_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[782]) ).

thf(934,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_934) ).

thf(3188,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[934]) ).

thf(1114,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1114) ).

thf(3548,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk39_5 @ A @ B @ C @ D @ E )
      | ~ ( esk378_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1114]) ).

thf(447,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_447) ).

thf(2215,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk307_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).

thf(98,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_98) ).

thf(1517,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk169_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(645,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_645) ).

thf(2611,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[645]) ).

thf(502,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_502) ).

thf(2325,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk196_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk256_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).

thf(1304,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1304) ).

thf(3928,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk134_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1304]) ).

thf(230,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_230) ).

thf(1781,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk130_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).

thf(444,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_444) ).

thf(2209,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).

thf(711,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk50_5 @ A @ B @ C @ D @ E )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_711) ).

thf(2743,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk50_5 @ A @ B @ C @ D @ E )
      | ~ ( esk42_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[711]) ).

thf(838,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_838) ).

thf(2997,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk290_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[838]) ).

thf(433,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_433) ).

thf(2187,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk60_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk392_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).

thf(1013,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1013) ).

thf(3346,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1013]) ).

thf(1000,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1000) ).

thf(3320,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1000]) ).

thf(492,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_492) ).

thf(2305,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk380_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).

thf(799,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk231_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_799) ).

thf(2919,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk231_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ A @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[799]) ).

thf(127,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_127) ).

thf(1575,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk146_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(66,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_66) ).

thf(1453,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk137_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk317_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(661,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_661) ).

thf(2643,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[661]) ).

thf(375,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_375) ).

thf(2071,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).

thf(727,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_727) ).

thf(2775,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[727]) ).

thf(243,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_243) ).

thf(1807,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).

thf(793,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_793) ).

thf(2907,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk147_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk308_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[793]) ).

thf(635,axiom,
    ( ~ esk1_0
    | esk2_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_635) ).

thf(2591,plain,
    ( ~ esk1_0
    | esk2_0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[635]) ).

thf(561,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_561) ).

thf(2443,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[561]) ).

thf(693,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_693) ).

thf(2707,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk41_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[693]) ).

thf(80,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_80) ).

thf(1481,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk228_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(1008,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ L ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1008) ).

thf(3336,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ L ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1008]) ).

thf(212,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_212) ).

thf(1745,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk203_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk209_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).

thf(825,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( p @ B )
      | ~ ( esk376_26 @ C @ D @ E @ F @ G @ A @ B @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_825) ).

thf(2971,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( p @ B )
      | ~ ( esk376_26 @ C @ D @ E @ F @ G @ A @ B @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[825]) ).

thf(555,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_555) ).

thf(2431,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[555]) ).

thf(841,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_841) ).

thf(3003,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk333_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk113_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[841]) ).

thf(966,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_966) ).

thf(3252,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[966]) ).

thf(1272,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk230_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Z )
      | ~ ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1272) ).

thf(3864,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk230_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ Z )
      | ~ ( esk229_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1272]) ).

thf(32,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_32) ).

thf(1385,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ O ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(200,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_200) ).

thf(1721,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk315_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).

thf(423,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_423) ).

thf(2167,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk199_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).

thf(476,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ V ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_476) ).

thf(2273,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk242_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ V ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).

thf(481,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_481) ).

thf(2283,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk329_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk129_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).

thf(534,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_534) ).

thf(2389,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk266_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).

thf(10,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_10) ).

thf(1341,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk180_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(1082,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1082) ).

thf(3484,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk273_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1082]) ).

thf(767,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_767) ).

thf(2855,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk71_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[767]) ).

thf(159,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_159) ).

thf(1639,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).

thf(766,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_766) ).

thf(2853,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk138_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[766]) ).

thf(465,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_465) ).

thf(2251,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk192_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).

thf(291,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_291) ).

thf(1903,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).

thf(407,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_407) ).

thf(2135,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).

thf(751,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_751) ).

thf(2823,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[751]) ).

thf(950,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_950) ).

thf(3220,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk127_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk338_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[950]) ).

thf(745,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk421_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_745) ).

thf(2811,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk421_26 @ B @ C @ A @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[745]) ).

thf(154,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_154) ).

thf(1629,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).

thf(892,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_892) ).

thf(3104,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk238_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[892]) ).

thf(1214,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1214) ).

thf(3748,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1214]) ).

thf(1155,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1155) ).

thf(3630,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk342_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk111_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1155]) ).

thf(1098,axiom,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1098) ).

thf(3516,plain,
    ! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk197_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk214_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1098]) ).

thf(101,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_101) ).

thf(1523,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(908,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk49_5 @ A @ B @ C @ D @ E )
      | ~ ( esk28_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_908) ).

thf(3136,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk49_5 @ A @ B @ C @ D @ E )
      | ~ ( esk28_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[908]) ).

thf(1024,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1024) ).

thf(3368,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk335_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1024]) ).

thf(1171,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1171) ).

thf(3662,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1171]) ).

thf(1230,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1230) ).

thf(3780,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk191_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk262_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1230]) ).

thf(563,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk375_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_563) ).

thf(2447,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk375_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[563]) ).

thf(85,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_85) ).

thf(1491,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(1002,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1002) ).

thf(3324,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk326_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1002]) ).

thf(1139,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1139) ).

thf(3598,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk321_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1139]) ).

thf(1288,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( p @ X )
      | ~ ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ Y @ X @ Z )
      | ~ ( p @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1288) ).

thf(3896,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( p @ X )
      | ~ ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ Y @ X @ Z )
      | ~ ( p @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1288]) ).

thf(431,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk17_2 @ A @ B )
      | ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_431) ).

thf(2183,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk17_2 @ A @ B )
      | ( esk406_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).

thf(143,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_143) ).

thf(1607,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk131_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk325_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(96,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_96) ).

thf(1513,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(170,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_170) ).

thf(1661,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).

thf(387,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_387) ).

thf(2095,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk64_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk356_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk67_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).

thf(286,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_286) ).

thf(1893,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk252_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk174_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).

thf(497,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk52_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_497) ).

thf(2315,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk54_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk52_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).

thf(709,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_709) ).

thf(2739,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk304_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk305_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[709]) ).

thf(1116,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1116) ).

thf(3552,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk61_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk353_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1116]) ).

thf(344,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_344) ).

thf(2009,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk343_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).

thf(270,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_270) ).

thf(1861,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk216_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk239_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).

thf(184,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_184) ).

thf(1689,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk139_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).

thf(380,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_380) ).

thf(2081,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).

thf(577,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_577) ).

thf(2475,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk226_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ( esk218_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[577]) ).

thf(1187,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk241_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ C @ A @ B @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1187) ).

thf(3694,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( p @ B )
      | ~ ( p @ C )
      | ~ ( esk241_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ C @ A @ B @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1187]) ).

thf(539,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_539) ).

thf(2399,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk316_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).

thf(360,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_360) ).

thf(2041,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).

thf(1262,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1262) ).

thf(3844,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1262]) ).

thf(1055,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1055) ).

thf(3430,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1055]) ).

thf(228,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_228) ).

thf(1777,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk343_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).

thf(798,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk396_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ B @ C @ D @ E @ F )
      | ( p @ H )
      | ~ ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_798) ).

thf(2917,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk396_26 @ B @ C @ D @ E @ F @ A @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk38_5 @ B @ C @ D @ E @ F )
      | ( p @ H )
      | ~ ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[798]) ).

thf(651,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_651) ).

thf(2623,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[651]) ).

thf(729,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_729) ).

thf(2779,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk20_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[729]) ).

thf(349,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_349) ).

thf(2019,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk184_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk275_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).

thf(1050,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1050) ).

thf(3420,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1050]) ).

thf(550,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_550) ).

thf(2421,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk350_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).

thf(341,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_341) ).

thf(2003,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk41_5 @ A @ B @ C @ D @ E )
      | ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).

thf(483,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_483) ).

thf(2287,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk282_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk144_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).

thf(202,axiom,
    ! [A: $i] :
      ( esk2_0
      | ( esk4_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_202) ).

thf(1725,plain,
    ! [A: $i] :
      ( esk2_0
      | ( esk4_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).

thf(318,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_318) ).

thf(1957,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk33_5 @ A @ B @ C @ D @ E )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).

thf(633,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk346_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_633) ).

thf(2587,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk346_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[633]) ).

thf(456,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_456) ).

thf(2233,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).

thf(1286,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1286) ).

thf(3892,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1286]) ).

thf(972,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk51_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_972) ).

thf(3264,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk51_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[972]) ).

thf(890,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_890) ).

thf(3100,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk370_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[890]) ).

thf(815,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk24_2 @ A @ B )
      | ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_815) ).

thf(2951,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk24_2 @ A @ B )
      | ( esk423_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[815]) ).

thf(747,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_747) ).

thf(2815,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[747]) ).

thf(906,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk319_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_906) ).

thf(3132,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk319_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[906]) ).

thf(1185,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O )
      | ~ ( p @ Q )
      | ~ ( p @ P ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1185) ).

thf(3690,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk289_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ O )
      | ~ ( p @ Q )
      | ~ ( p @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1185]) ).

thf(922,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( p @ B )
      | ~ ( esk41_5 @ C @ D @ E @ F @ G )
      | ~ ( p @ H )
      | ~ ( esk399_26 @ C @ D @ E @ F @ G @ B @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_922) ).

thf(3164,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( p @ B )
      | ~ ( esk41_5 @ C @ D @ E @ F @ G )
      | ~ ( p @ H )
      | ~ ( esk399_26 @ C @ D @ E @ F @ G @ B @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[922]) ).

thf(1169,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk47_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1169) ).

thf(3658,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk404_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk40_5 @ A @ B @ C @ D @ E )
      | ~ ( esk47_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1169]) ).

thf(401,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_401) ).

thf(2123,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk21_2 @ A @ B )
      | ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).

thf(598,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_598) ).

thf(2517,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[598]) ).

thf(681,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_681) ).

thf(2683,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[681]) ).

thf(532,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_532) ).

thf(2385,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).

thf(1270,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1270) ).

thf(3860,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk179_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1270]) ).

thf(417,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_417) ).

thf(2155,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk75_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk377_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).

thf(467,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_467) ).

thf(2255,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).

thf(956,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_956) ).

thf(3232,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk339_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk95_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[956]) ).

thf(831,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_831) ).

thf(2983,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk376_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk55_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk76_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[831]) ).

thf(699,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_699) ).

thf(2719,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk413_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk415_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[699]) ).

thf(1281,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1281) ).

thf(3882,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1281]) ).

thf(37,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_37) ).

thf(1395,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(152,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_152) ).

thf(1625,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk148_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).

thf(136,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk241_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_136) ).

thf(1593,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk241_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(1072,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1072) ).

thf(3464,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk259_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ A @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1072]) ).

thf(1235,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1235) ).

thf(3790,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1235]) ).

thf(103,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk48_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_103) ).

thf(1527,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk403_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk48_5 @ A @ B @ C @ D @ E )
      | ( esk30_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(176,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk264_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_176) ).

thf(1673,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk264_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).

thf(218,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk14_2 @ A @ B )
      | ~ ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk19_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_218) ).

thf(1757,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk424_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk425_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk428_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk14_2 @ A @ B )
      | ~ ( esk427_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk19_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).

thf(1088,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1088) ).

thf(3496,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk312_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ A @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1088]) ).

thf(1251,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1251) ).

thf(3822,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk253_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk182_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1251]) ).

thf(847,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_847) ).

thf(3015,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk374_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[847]) ).

thf(269,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk287_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_269) ).

thf(1859,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk287_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).

thf(1004,axiom,
    ! [B: $i,A: $i] :
      ( ( esk9_1 @ A )
      | ~ ( esk10_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1004) ).

thf(3328,plain,
    ! [B: $i,A: $i] :
      ( ( esk9_1 @ A )
      | ~ ( esk10_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1004]) ).

thf(21,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk342_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_21) ).

thf(1363,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk342_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(87,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_87) ).

thf(1495,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk91_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(1119,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1119) ).

thf(3558,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk286_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1119]) ).

thf(1242,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1242) ).

thf(3804,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk294_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1242]) ).

thf(548,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_548) ).

thf(2417,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk394_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk69_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).

thf(234,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( p @ R )
      | ~ ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ R @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ T )
      | ( p @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_234) ).

thf(1789,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( p @ R )
      | ~ ( esk287_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ R @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ T )
      | ( p @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).

thf(820,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_820) ).

thf(2961,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk323_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[820]) ).

thf(665,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_665) ).

thf(2651,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[665]) ).

thf(731,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk262_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ S )
      | ( p @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_731) ).

thf(2783,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk262_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ A @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ S )
      | ( p @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[731]) ).

thf(614,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_614) ).

thf(2549,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk355_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[614]) ).

thf(715,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk399_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_715) ).

thf(2751,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk399_26 @ B @ C @ D @ E @ F @ G @ A @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[715]) ).

thf(1318,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1318) ).

thf(3956,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1318]) ).

thf(440,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_440) ).

thf(2201,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk341_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).

thf(334,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_334) ).

thf(1989,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk133_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).

thf(168,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_168) ).

thf(1657,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk314_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).

thf(1120,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B )
      | ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1120) ).

thf(3560,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk22_2 @ A @ B )
      | ( esk20_2 @ A @ B )
      | ( esk409_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk19_2 @ A @ B )
      | ( esk21_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1120]) ).

thf(7,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_7) ).

thf(1335,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk324_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(186,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk36_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_186) ).

thf(1693,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk36_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).

thf(1198,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1198) ).

thf(3716,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk279_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk176_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1198]) ).

thf(1265,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F )
      | ~ ( p @ H )
      | ( p @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1265) ).

thf(3850,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk375_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ F )
      | ~ ( p @ H )
      | ( p @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1265]) ).

thf(120,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_120) ).

thf(1561,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk263_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk173_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(796,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_796) ).

thf(2913,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk172_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[796]) ).

thf(385,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_385) ).

thf(2091,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk298_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).

thf(938,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_938) ).

thf(3196,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[938]) ).

thf(1053,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1053) ).

thf(3426,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk302_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1053]) ).

thf(285,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_285) ).

thf(1891,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk41_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).

thf(451,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_451) ).

thf(2223,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk354_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).

thf(737,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_737) ).

thf(2795,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk245_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[737]) ).

thf(76,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_76) ).

thf(1473,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk366_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(649,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_649) ).

thf(2619,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk291_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[649]) ).

thf(1052,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1052) ).

thf(3424,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk233_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk234_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1052]) ).

thf(862,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_862) ).

thf(3045,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk399_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk397_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk400_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk398_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[862]) ).

thf(1093,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1093) ).

thf(3506,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk296_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1093]) ).

thf(350,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E )
      | ~ ( p @ C )
      | ~ ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_350) ).

thf(2021,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ E )
      | ~ ( p @ C )
      | ~ ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).

thf(371,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_371) ).

thf(2063,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk382_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk381_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).

thf(516,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_516) ).

thf(2353,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk161_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk159_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk157_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk164_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk165_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk166_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk162_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk168_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk167_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).

thf(962,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_962) ).

thf(3244,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk337_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[962]) ).

thf(1020,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1020) ).

thf(3360,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk19_2 @ A @ B )
      | ~ ( esk418_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1020]) ).

thf(472,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_472) ).

thf(2265,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk363_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk96_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).

thf(573,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_573) ).

thf(2467,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk365_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[573]) ).

thf(1226,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1226) ).

thf(3772,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk97_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1226]) ).

thf(301,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_301) ).

thf(1923,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk204_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk240_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).

thf(593,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_593) ).

thf(2507,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk261_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[593]) ).

thf(1036,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk31_5 @ A @ B @ C @ D @ E )
      | ( esk44_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1036) ).

thf(3392,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk31_5 @ A @ B @ C @ D @ E )
      | ( esk44_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1036]) ).

thf(1283,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1283) ).

thf(3886,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk300_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk123_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk124_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1283]) ).

thf(460,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_460) ).

thf(2241,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).

thf(403,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk13_2 @ A @ B )
      | ( esk17_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_403) ).

thf(2127,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk13_2 @ A @ B )
      | ( esk17_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).

thf(419,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_419) ).

thf(2159,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).

thf(1021,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk48_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1021) ).

thf(3362,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk48_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1021]) ).

thf(705,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_705) ).

thf(2731,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk283_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[705]) ).

thf(904,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_904) ).

thf(3128,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk429_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk7_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[904]) ).

thf(254,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_254) ).

thf(1829,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk118_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk299_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).

thf(328,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_328) ).

thf(1977,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk274_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).

thf(852,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_852) ).

thf(3025,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk288_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[852]) ).

thf(253,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( p @ O )
      | ~ ( p @ P )
      | ~ ( p @ Q )
      | ~ ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ P @ Q @ O @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_253) ).

thf(1827,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk122_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( p @ O )
      | ~ ( p @ P )
      | ~ ( p @ Q )
      | ~ ( esk312_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ P @ Q @ O @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).

thf(868,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_868) ).

thf(3057,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk40_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[868]) ).

thf(741,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk289_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_741) ).

thf(2803,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk289_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ A @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[741]) ).

thf(763,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk23_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ~ ( p @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_763) ).

thf(2847,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk23_2 @ A @ B )
      | ( esk22_2 @ A @ B )
      | ~ ( p @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[763]) ).

thf(1125,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K )
      | ( p @ J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1125) ).

thf(3570,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk348_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ K )
      | ( p @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1125]) ).

thf(582,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_582) ).

thf(2485,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk72_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk383_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[582]) ).

thf(108,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_108) ).

thf(1537,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk86_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(18,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_18) ).

thf(1357,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk249_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(631,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_631) ).

thf(2583,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk247_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[631]) ).

thf(1109,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk27_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1109) ).

thf(3538,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk27_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1109]) ).

thf(302,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_302) ).

thf(1925,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).

thf(609,axiom,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_609) ).

thf(2539,plain,
    ! [N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk112_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ( esk128_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[609]) ).

thf(196,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_196) ).

thf(1713,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk53_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk396_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).

thf(138,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_138) ).

thf(1597,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk125_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk311_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(683,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( p @ L )
      | ( p @ M )
      | ~ ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ N @ M @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_683) ).

thf(2687,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( p @ L )
      | ( p @ M )
      | ~ ( esk340_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ N @ M @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[683]) ).

thf(1210,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1210) ).

thf(3740,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk181_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk189_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk265_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1210]) ).

thf(55,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_55) ).

thf(1431,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk82_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk369_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(878,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( p @ K )
      | ~ ( p @ J ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_878) ).

thf(3076,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk66_8 @ B @ C @ D @ E @ F @ G @ H @ I )
      | ~ ( p @ K )
      | ~ ( p @ J ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[878]) ).

thf(1037,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1037) ).

thf(3394,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk59_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk357_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1037]) ).

thf(282,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk13_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_282) ).

thf(1885,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk426_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk13_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).

thf(689,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_689) ).

thf(2699,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk22_2 @ A @ B )
      | ~ ( esk407_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[689]) ).

thf(1246,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk292_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ C @ A @ B @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1246) ).

thf(3812,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( p @ B )
      | ( p @ C )
      | ~ ( esk292_26 @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ C @ A @ B @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1246]) ).

thf(1087,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1087) ).

thf(3494,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk68_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1087]) ).

thf(92,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_92) ).

thf(1505,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk70_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk387_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk388_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(39,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ~ ( esk29_5 @ A @ B @ C @ D @ E )
      | ~ ( esk51_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_39) ).

thf(1399,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk30_5 @ A @ B @ C @ D @ E )
      | ~ ( esk29_5 @ A @ B @ C @ D @ E )
      | ~ ( esk51_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(1299,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1299) ).

thf(3918,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1299]) ).

thf(150,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk262_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_150) ).

thf(1621,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk262_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ A @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).

thf(1104,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1104) ).

thf(3528,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk270_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk269_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1104]) ).

thf(779,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_779) ).

thf(2879,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk170_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ( esk194_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[779]) ).

thf(1315,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1315) ).

thf(3950,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1315]) ).

thf(1130,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1130) ).

thf(3580,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk208_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk202_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ( esk248_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1130]) ).

thf(369,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_369) ).

thf(2059,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk386_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk385_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).

thf(488,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_488) ).

thf(2297,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk379_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk74_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk65_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).

thf(1056,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1056) ).

thf(3432,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk345_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1056]) ).

thf(566,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_566) ).

thf(2453,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk126_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk309_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[566]) ).

thf(383,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_383) ).

thf(2087,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk281_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).

thf(863,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_863) ).

thf(3047,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk66_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ~ ( esk352_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[863]) ).

thf(988,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_988) ).

thf(3296,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk141_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk158_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[988]) ).

thf(857,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk232_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_857) ).

thf(3035,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk232_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[857]) ).

thf(846,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_846) ).

thf(3013,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk390_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk62_8 @ A @ B @ C @ D @ E @ F @ G @ H )
      | ( esk56_8 @ A @ B @ C @ D @ E @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[846]) ).

thf(1103,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk287_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1103) ).

thf(3526,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk287_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ A @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1103]) ).

thf(1320,axiom,
    p @ true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_true) ).

thf(3960,plain,
    p @ true,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1320]) ).

thf(5,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_5) ).

thf(1331,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk188_20 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T )
      | ~ ( esk267_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(1077,axiom,
    ! [B: $i,A: $i] :
      ( ( esk10_2 @ A @ B )
      | ( esk7_1 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1077) ).

thf(3474,plain,
    ! [B: $i,A: $i] :
      ( ( esk10_2 @ A @ B )
      | ( esk7_1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1077]) ).

thf(500,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_500) ).

thf(2321,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk38_5 @ A @ B @ C @ D @ E )
      | ~ ( esk384_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).

thf(166,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk317_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_166) ).

thf(1653,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ( esk317_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ A @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).

thf(23,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_23) ).

thf(1367,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk101_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk83_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk102_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk109_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk105_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk100_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk98_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk108_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk110_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk104_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(621,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk46_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_621) ).

thf(2563,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk28_5 @ A @ B @ C @ D @ E )
      | ( esk46_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[621]) ).

thf(1302,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1302) ).

thf(3924,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk163_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1302]) ).

thf(780,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_780) ).

thf(2881,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk328_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk93_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[780]) ).

thf(1153,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1153) ).

thf(3626,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk99_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk360_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1153]) ).

thf(312,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_312) ).

thf(1945,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk351_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk94_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk103_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).

thf(946,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_946) ).

thf(3212,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk422_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[946]) ).

thf(208,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_208) ).

thf(1737,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk92_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk84_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ~ ( esk361_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).

thf(888,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_888) ).

thf(3096,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk272_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk153_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk151_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk155_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk154_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk152_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[888]) ).

thf(1267,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk126_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( p @ P )
      | ~ ( p @ Q )
      | ~ ( esk316_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ Q @ P @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_1267) ).

thf(3854,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ~ ( esk126_14 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O )
      | ~ ( p @ P )
      | ~ ( p @ Q )
      | ~ ( esk316_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ A @ Q @ P @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1267]) ).

thf(180,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_180) ).

thf(1681,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk373_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( p @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).

thf(783,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk29_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_783) ).

thf(2887,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk414_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk29_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[783]) ).

thf(71,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( esk9_1 @ A )
      | ( esk10_2 @ A @ B )
      | ( esk11_2 @ A @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_71) ).

thf(1463,plain,
    ! [B: $i,A: $i] :
      ( ~ ( esk9_1 @ A )
      | ( esk10_2 @ A @ B )
      | ( esk11_2 @ A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(122,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_122) ).

thf(1565,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk85_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K )
      | ( esk347_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk106_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(647,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_647) ).

thf(2615,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk241_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk201_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W )
      | ~ ( esk213_23 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[647]) ).

thf(224,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_224) ).

thf(1769,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk420_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).

thf(298,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_298) ).

thf(1917,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk160_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ~ ( esk297_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).

thf(998,axiom,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_998) ).

thf(3316,plain,
    ! [Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[998]) ).

thf(515,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_515) ).

thf(2351,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk120_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N )
      | ~ ( esk334_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk114_14 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).

thf(836,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk94_11 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( p @ M )
      | ~ ( esk341_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_836) ).

thf(2993,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( p @ A )
      | ~ ( esk94_11 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L )
      | ( p @ M )
      | ~ ( esk341_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ A @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( p @ N ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[836]) ).

thf(940,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_940) ).

thf(3200,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk278_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ~ ( esk276_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[940]) ).

thf(435,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_435) ).

thf(2191,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk346_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk107_11 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).

thf(64,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_64) ).

thf(1449,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( p @ A )
      | ( esk370_26 @ B @ C @ D @ E @ F @ G @ H @ I @ J @ A @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(428,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk43_5 @ A @ B @ C @ D @ E )
      | ~ ( esk28_5 @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_428) ).

thf(2177,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk43_5 @ A @ B @ C @ D @ E )
      | ~ ( esk28_5 @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).

thf(667,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_667) ).

thf(2655,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk140_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk313_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[667]) ).

thf(48,axiom,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_48) ).

thf(1417,plain,
    ! [Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( esk156_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q )
      | ( esk310_26 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z )
      | ( esk142_17 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(725,axiom,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_0_725) ).

thf(2771,plain,
    ! [Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( esk224_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y )
      | ~ ( esk217_25 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[725]) ).

thf(4267,plain,
    $false,
    inference(e,[status(thm)],[2163,1501,1469,1633,1767,3434,2427,2559,2331,3566,1549,3172,2199,3021,1665,1879,1337,3944,1411,1369,2889,1823,2295,3053,2341,2109,2131,2031,1995,2263,3930,3798,1559,3666,1729,2921,3698,2463,1899,3830,2787,2595,2499,2309,3072,2117,3762,2395,2527,3108,2837,3498,1437,3382,2363,1855,3680,2077,3534,2231,3858,2495,3230,2381,1443,2659,2953,1401,3460,2947,1569,1939,3912,3098,2671,3910,2099,1591,1971,1793,3402,1533,3530,1671,3794,1655,3120,3049,2607,3942,1735,1867,2141,3616,1327,2627,3562,2901,1507,3848,1497,3017,2195,1705,2035,3332,3648,1999,3446,3338,2933,1919,3826,2459,3414,1761,3276,2575,3370,1835,3634,3766,3502,1441,3088,1613,1359,3898,2173,1623,1887,2957,3836,3236,3350,2723,2491,2763,2985,2227,1391,3308,1935,3730,1645,1921,1601,3466,3140,1475,1529,1967,2067,2825,2819,1803,3880,3878,1703,2531,2405,3688,2869,3820,1709,2603,3644,2039,2339,2755,3061,2217,1511,3776,3542,3043,2703,3248,1409,3204,3442,3938,3029,2735,1985,3116,2667,3342,2269,1871,3574,1907,2501,1323,3612,3148,3410,2185,1577,1455,3280,2897,3744,2745,2571,1545,2691,2713,2857,2049,2767,3216,3734,1773,3180,1847,3840,1379,3374,2169,2403,3638,1479,1609,2373,1347,1741,3084,2635,2929,3470,3312,3902,1931,1641,3708,2301,1815,2989,1963,3602,1875,3866,2533,3268,3258,2829,3788,2007,3322,1465,3524,2027,3934,1911,2451,3702,3438,2925,1677,2073,2017,1489,2237,1415,2105,1811,1373,3724,2893,2469,3670,2259,2291,1383,3300,2555,3290,1581,2335,2777,3152,1843,2861,3712,1351,1433,2965,3870,3184,3378,2367,2437,3068,1377,2833,2281,1447,2483,3808,2523,2371,2979,3676,2137,3756,2809,1345,2799,2639,2103,1405,3226,1943,3588,1697,3606,3906,1521,3492,3406,2205,1975,3510,1863,1651,2011,3582,3011,3450,2473,1691,3720,3852,3186,2307,2641,2905,3418,3037,2047,3318,1915,2093,1783,2737,2083,2621,2061,3550,2773,2589,2601,2249,2541,1519,2133,2147,1751,1487,3610,3752,3814,3250,3664,2441,2673,2705,2409,1387,1723,2733,1343,2805,1355,2277,3742,2969,3884,2937,3154,3134,3816,1619,3514,3682,3778,2015,3286,1883,2873,3578,1951,3718,2609,2179,2741,1573,2769,2653,3282,1423,3948,3166,3958,2445,1837,3618,1365,3810,2433,2477,3090,2565,3198,2663,1555,3314,3065,3750,3556,3600,1687,1457,3894,1819,3546,3144,1787,2181,2327,2213,2345,3926,2211,1407,2547,2313,3033,3408,2245,3784,1983,3862,2895,2841,2577,2709,3218,1587,1425,3078,3650,3440,3001,3782,1541,2157,2115,3482,2515,3254,1851,3122,2377,2801,1953,2685,2973,2359,1375,2509,3102,3704,3518,3963,3386,2631,1719,2537,3632,3746,3916,1755,3176,1397,1567,1361,2323,3846,3622,3596,2419,2455,2053,1889,2649,1493,1683,3954,1329,3952,2877,2023,3326,1659,3922,2561,3210,3094,1739,1461,3714,3728,2613,1937,1791,3428,3194,2349,2551,2085,2317,3294,2781,1419,3242,3656,2519,1451,1539,3770,2355,1799,1947,2813,3628,1715,1825,2285,3486,2125,3654,3126,2681,2487,2845,3059,3354,2153,2387,1831,2851,2243,2581,2465,2505,3390,3222,3540,2497,3760,1429,3692,1599,2697,1979,3074,3005,3920,3364,3162,1759,1393,1627,1525,3454,3802,2203,2761,2043,1695,2883,3856,1563,2963,2915,2617,2909,3476,1333,3824,2749,1857,1991,3834,1779,3624,2057,3306,3592,2793,1663,2089,3190,1515,2221,3508,1895,2645,2189,3422,2995,2423,2529,2729,1727,2677,2391,1959,2585,2717,3890,1483,1927,3262,3792,3274,3686,3696,3396,1631,3158,2121,2235,3660,2001,2413,3130,3358,2253,2275,2033,2149,1747,2941,3738,1595,3888,3536,3372,1833,3768,2789,2981,3266,3272,3900,3604,1965,2695,2827,2959,3070,2727,3636,3234,2859,2225,3504,1615,1389,2791,3240,2525,2657,2849,3472,2489,2393,3086,3736,3758,1929,1535,2991,1403,3458,1795,1701,3590,3404,3868,2817,2161,3118,2029,3646,3330,2055,3700,3304,3170,1675,3532,3796,1503,2193,3023,1669,1707,2293,3051,2891,3726,1371,3208,1865,1635,2935,1733,1997,3340,3594,2759,2753,3436,3832,1765,2457,1897,2557,2425,3416,3302,3568,2573,2319,3678,2521,2679,1853,2637,2669,2839,1801,3384,2065,2079,2361,2311,2721,2119,3352,2151,2229,3238,2383,3764,2415,2493,2987,1349,2097,3270,3732,1933,2257,1589,2955,1603,2299,3106,3468,1771,2943,3710,2945,3500,3138,3182,3586,1571,2871,1439,2197,1969,3160,2025,2111,1993,2267,2757,3192,3298,2553,1381,2461,2911,3456,1667,1877,1471,1339,2605,3027,3055,1557,2129,2343,3668,2625,2261,1821,1731,3800,3572,3932,1909,2923,1325,3614,2785,2593,2289,2647,3150,2329,3480,2075,2365,2171,1445,3110,1643,2931,2797,2967,2303,2207,1841,2439,2725,2401,1699,3838,2835,2051,2765,2481,2139,3806,2369,3674,1775,1435,2633,3310,1477,3706,3142,2535,2101,3512,3178,2999,3348,3908,3876,2693,1973,1805,2069,2867,3490,3380,1809,1873,1467,2471,2037,2503,3146,2333,1551,2005,1413,3522,3009,3444,2239,3031,1583,3936,2107,3576,2665,2271,3206,3672,1905,2449,1509,2927,2629,3278,2597,3292,2899,1547,3376,2715,1961,2397,2661,1743,3082,3214,1647,2821,3872,1531,3608,1845,2513,2567,3640,2863,3842,3112,2977,1611,2375,2143,3904,1605,3260,3754,1941,3462,3228,2175,1753,2407,3786,2831,2689,3448,3642,3063,3722,3554,3344,1785,2429,2337,2219,3828,3174,1579,3041,1711,3019,3080,2747,1499,2569,3246,1987,3940,2165,3818,1813,1637,3114,3334,3202,1869,3774,1763,1901,3544,2701,2903,2545,2599,1679,3412,3564,1543,2113,2379,2975,2579,3388,1797,2949,1717,2939,3961,3256,3007,3398,1617,2675,2247,2411,3488,1849,3652,3124,1981,2543,3356,1353,2279,2357,1955,2843,2145,1485,2711,1749,3224,1427,1585,2511,1881,2807,3156,3914,3520,3366,3684,3288,3946,3452,1649,2479,3067,1553,1949,1817,1913,3874,2347,3039,2865,2875,3168,2435,3284,1421,2013,3400,3478,3620,1839,3584,1459,2045,3092,1685,2885,3188,3548,2215,1517,2611,2325,3928,1781,2209,2743,2997,2187,3346,3320,2305,2919,1575,1453,2643,2071,2775,1807,2907,2591,2443,2707,1481,3336,1745,2971,2431,3003,3252,3864,1385,1721,2167,2273,2283,2389,1341,3484,2855,1639,2853,2251,1903,2135,2823,3220,2811,1629,3104,3748,3630,3516,1523,3136,3368,3662,3780,2447,1491,3324,3598,3896,2183,1607,1513,1661,2095,1893,2315,2739,3552,2009,1861,1689,2081,2475,3694,2399,2041,3844,3430,1777,2917,2623,2779,2019,3420,2421,2003,2287,1725,1957,2587,2233,3892,3264,3100,2951,2815,3132,3690,3164,3658,2123,2517,2683,2385,3860,2155,2255,3232,2983,2719,3882,1395,1625,1593,3464,3790,1527,1673,1757,3496,3822,3015,1859,3328,1363,1495,3558,3804,2417,1789,2961,2651,2783,2549,2751,3956,2201,1989,1657,3560,1335,1693,3716,3850,1561,2913,2091,3196,3426,1891,2223,2795,1473,2619,3424,3045,3506,2021,2063,2353,3244,3360,2265,2467,3772,1923,2507,3392,3886,2241,2127,2159,3362,2731,3128,1829,1977,3025,1827,3057,2803,2847,3570,2485,1537,1357,2583,3538,1925,2539,1713,1597,2687,3740,1431,3076,3394,1885,2699,3812,3494,1505,1399,3918,1621,3528,2879,3950,3580,2059,2297,3432,2453,2087,3047,3296,3035,3013,3526,3960,1331,3474,2321,1653,1367,2563,3924,2881,3626,1945,3212,1737,3096,3854,1681,2887,1463,1565,2615,1769,1917,3316,2351,2993,3200,2191,1449,2177,2655,1417,2771]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SYO592-1 : TPTP v8.1.2. Bugfixed v5.5.1.
% 0.09/0.10  % Command  : run_Leo-III %s %d
% 0.09/0.30  % Computer : n032.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Thu May 18 18:34:20 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.74/0.73  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.69/1.01  % [INFO] 	 Parsing done (273ms). 
% 1.69/1.02  % [INFO] 	 Running in sequential loop mode. 
% 2.20/1.20  % [INFO] 	 eprover registered as external prover. 
% 2.20/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 2.20/1.21  % [INFO] 	 Scanning for conjecture ... 
% 2.28/1.27  % [INFO] 	 1322 axioms and no conjecture found. 
% 3.66/1.71  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.66/1.73  % [INFO] 	 Type checking passed. 
% 3.66/1.73  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 42.54/10.32  % External prover 'e' found a proof!
% 42.54/10.32  % [INFO] 	 Killing All external provers ... 
% 42.54/10.32  % Time passed: 9903ms (effective reasoning time: 9302ms)
% 42.54/10.33  % Axioms used in derivation (1322): i_0_979, i_0_1047, i_0_829, i_0_38, i_0_910, i_0_79, i_0_460, i_0_190, i_0_957, i_0_146, i_0_827, i_0_1054, i_0_642, i_0_333, i_0_1246, i_0_1005, i_0_1160, i_0_1109, i_0_529, i_0_31, i_0_64, rule_false, i_0_1139, i_0_803, i_0_870, i_0_553, i_0_734, i_0_1230, i_0_430, i_0_2, i_0_405, i_0_972, i_0_462, i_0_265, i_0_193, i_0_580, i_0_727, i_0_946, i_0_175, i_0_253, i_0_1000, i_0_1216, i_0_372, i_0_787, i_0_456, i_0_164, i_0_1032, i_0_968, i_0_300, i_0_231, i_0_611, i_0_838, i_0_893, i_0_1069, i_0_46, i_0_929, i_0_482, i_0_449, i_0_220, i_0_1281, i_0_361, i_0_712, i_0_798, i_0_814, i_0_653, i_0_1151, i_0_276, i_0_157, i_0_701, i_0_473, i_0_1199, i_0_311, i_0_57, i_0_1205, i_0_982, i_0_1188, i_0_1106, i_0_489, i_0_130, i_0_871, i_0_1077, i_0_904, i_0_1117, i_0_68, i_0_406, i_0_594, i_0_142, i_0_1294, i_0_269, i_0_937, i_0_723, i_0_298, i_0_250, i_0_322, i_0_1196, i_0_806, i_0_1128, i_0_207, i_0_1043, i_0_20, i_0_1162, i_0_692, i_0_9, i_0_1292, i_0_1257, i_0_583, i_0_423, i_0_1016, i_0_530, i_0_1099, i_0_636, i_0_411, i_0_377, i_0_1263, i_0_926, i_0_907, i_0_434, i_0_493, i_0_681, i_0_242, i_0_61, i_0_416, i_0_650, i_0_179, i_0_631, i_0_1212, i_0_337, i_0_961, i_0_495, i_0_817, i_0_400, i_0_218, i_0_287, i_0_1185, i_0_484, i_0_665, i_0_705, i_0_417, i_0_1182, i_0_620, i_0_600, i_0_1235, i_0_445, i_0_42, i_0_716, i_0_759, i_0_882, i_0_915, i_0_452, i_0_549, i_0_326, i_0_168, i_0_153, i_0_1036, i_0_392, i_0_1171, i_0_524, i_0_350, i_0_1201, i_0_1142, i_0_1224, i_0_930, i_0_1241, i_0_53, i_0_72, i_0_670, i_0_615, i_0_87, i_0_793, i_0_98, i_0_994, i_0_845, i_0_426, i_0_1227, i_0_517, i_0_1039, i_0_1166, i_0_109, i_0_625, i_0_1149, i_0_16, i_0_24, i_0_668, i_0_1087, i_0_1101, i_0_1276, i_0_323, i_0_127, i_0_722, i_0_506, i_0_922, i_0_1081, i_0_293, i_0_918, i_0_1213, i_0_477, i_0_1130, i_0_1193, i_0_27, i_0_1238, i_0_239, i_0_1163, i_0_1267, i_0_1317, i_0_1051, i_0_1253, i_0_1008, i_0_187, i_0_1305, i_0_200, i_0_748, i_0_950, i_0_792, i_0_198, i_0_1146, i_0_941, i_0_1298, i_0_528, i_0_535, i_0_773, i_0_575, i_0_170, i_0_437, i_0_733, i_0_138, i_0_835, i_0_1112, i_0_933, i_0_867, i_0_308, i_0_755, i_0_260, i_0_369, i_0_878, i_0_1174, i_0_271, i_0_676, i_0_123, i_0_334, i_0_319, i_0_325, i_0_1015, i_0_48, i_0_969, i_0_228, i_0_564, i_0_441, i_0_604, i_0_545, i_0_589, i_0_1242, i_0_1058, i_0_629, i_0_698, i_0_567, i_0_389, i_0_211, i_0_609, i_0_766, i_0_777, i_0_347, i_0_679, i_0_856, i_0_1150, i_0_210, i_0_513, i_0_50, i_0_502, i_0_395, i_0_860, i_0_542, i_0_781, i_0_751, i_0_585, i_0_947, i_0_75, i_0_738, i_0_471, i_0_21, i_0_596, i_0_1070, i_0_459, i_0_116, i_0_857, i_0_1134, i_0_889, i_0_282, i_0_257, i_0_846, i_0_687, i_0_1260, i_0_303, i_0_1004, i_0_1177, i_0_409, i_0_343, i_0_810, i_0_823, i_0_993, i_0_1287, i_0_1249, i_0_834, i_0_658, i_0_358, i_0_1011, i_0_1123, i_0_105, i_0_32, i_0_13, i_0_556, i_0_744, i_0_314, i_0_900, i_0_591, i_0_1092, i_0_1155, i_0_983, i_0_762, i_0_82, i_0_1076, i_0_578, i_0_290, i_0_490, i_0_1023, i_0_1209, i_0_539, i_0_1065, i_0_90, i_0_647, i_0_384, i_0_739, i_0_1206, i_0_958, i_0_431, i_0_402, i_0_742, i_0_1284, i_0_149, i_0_373, i_0_41, i_0_1176, i_0_590, i_0_576, i_0_693, i_0_622, i_0_448, i_0_813, i_0_1031, i_0_1141, i_0_802, i_0_612, i_0_291, i_0_259, i_0_351, i_0_1012, i_0_981, i_0_753, i_0_1271, i_0_442, i_0_885, i_0_1108, i_0_254, i_0_652, i_0_662, i_0_1240, i_0_1256, i_0_784, i_0_543, i_0_880, i_0_78, i_0_312, i_0_1312, i_0_1138, i_0_702, i_0_30, i_0_1079, i_0_839, i_0_673, i_0_268, i_0_52, i_0_1200, i_0_601, i_0_248, i_0_243, i_0_1245, i_0_828, i_0_1127, i_0_1165, i_0_1161, i_0_852, i_0_301, i_0_420, i_0_1291, i_0_633, i_0_378, i_0_554, i_0_1026, i_0_496, i_0_178, i_0_413, i_0_1211, i_0_565, i_0_728, i_0_511, i_0_163, i_0_974, i_0_453, i_0_1280, i_0_713, i_0_1251, i_0_67, i_0_8, i_0_340, i_0_775, i_0_279, i_0_735, i_0_84, i_0_35, i_0_1217, i_0_297, i_0_45, i_0_841, i_0_570, i_0_362, i_0_156, i_0_706, i_0_952, i_0_514, i_0_925, i_0_474, i_0_1264, i_0_525, i_0_1183, i_0_1105, i_0_463, i_0_1223, i_0_145, i_0_886, i_0_616, i_0_1135, i_0_93, i_0_874, i_0_183, i_0_641, i_0_1042, i_0_479, i_0_131, i_0_1301, i_0_74, true_not_false, i_0_745, i_0_221, i_0_807, i_0_914, i_0_572, i_0_280, i_0_919, i_0_896, i_0_95, i_0_1060, i_0_120, i_0_764, i_0_985, i_0_407, i_0_1154, i_0_468, i_0_3, i_0_1306, i_0_119, i_0_936, i_0_671, i_0_908, i_0_630, i_0_724, i_0_508, i_0_56, i_0_194, i_0_39, i_0_108, i_0_1068, i_0_1234, i_0_1116, i_0_561, i_0_897, i_0_536, i_0_1195, i_0_1295, i_0_903, i_0_682, i_0_217, i_0_818, i_0_605, i_0_336, i_0_114, i_0_167, i_0_1019, i_0_717, i_0_824, i_0_1184, i_0_485, i_0_206, i_0_503, i_0_1172, i_0_232, i_0_418, i_0_1098, i_0_756, i_0_63, i_0_1268, i_0_28, i_0_370, i_0_135, i_0_772, i_0_655, i_0_225, i_0_831, i_0_294, i_0_81, i_0_141, i_0_318, i_0_1131, i_0_399, i_0_186, i_0_842, i_0_1299, i_0_863, i_0_836, i_0_1190, i_0_1124, i_0_1228, i_0_1046, i_0_70, i_0_853, i_0_286, i_0_695, i_0_518, i_0_830, 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i_0_1272, i_0_648, i_0_174, i_0_1057, i_0_767, i_0_469, i_0_383, i_0_436, i_0_864, i_0_1113, i_0_785, i_0_330, i_0_1169, i_0_329, i_0_344, i_0_750, i_0_410, i_0_113, i_0_948, i_0_637, i_0_1102, i_0_851, i_0_774, i_0_876, i_0_674, i_0_1086, i_0_741, i_0_602, i_0_40, i_0_126, i_0_1285, i_0_1090, i_0_1187, i_0_285, i_0_132, i_0_454, i_0_302, i_0_663, i_0_317, i_0_1030, i_0_805, i_0_1140, i_0_1261, i_0_1021, i_0_613, i_0_1270, i_0_234, i_0_1233, i_0_1296, i_0_55, i_0_443, i_0_560, i_0_121, i_0_566, i_0_1115, i_0_115, i_0_510, i_0_694, i_0_623, i_0_425, i_0_544, i_0_592, i_0_555, i_0_768, i_0_394, i_0_752, i_0_195, i_0_1250, i_0_296, i_0_1198, i_0_819, i_0_414, i_0_184, i_0_763, i_0_504, i_0_470, i_0_1164, i_0_783, i_0_137, i_0_481, i_0_209, i_0_634, i_0_959, i_0_1311, i_0_110, i_0_58, i_0_7, i_0_1078, i_0_432, i_0_223, i_0_104, i_0_403, i_0_789, i_0_1175, i_0_1210, i_0_1110, i_0_1214, i_0_47, i_0_390, i_0_794, i_0_757, i_0_498, i_0_672, i_0_895, i_0_92, i_0_1180, i_0_1203, i_0_18, i_0_884, i_0_656, i_0_1025, i_0_1075, i_0_1300, i_0_571, i_0_825, i_0_577, i_0_363, i_0_447, i_0_306, i_0_746, i_0_289, i_0_278, i_0_1153, i_0_341, i_0_651, i_0_379, i_0_352, i_0_492, i_0_526, i_0_730, i_0_487, i_0_1104, i_0_346, i_0_816, i_0_85, i_0_548, i_0_1067, i_0_771, i_0_537, i_0_44, i_0_509, i_0_562, i_0_873, i_0_1126, i_0_988, i_0_588, i_0_1089, i_0_1137, i_0_1290, i_0_909, i_0_559, i_0_29, i_0_887, i_0_267, i_0_328, i_0_685, i_0_898, i_0_800, i_0_640, i_0_339, i_0_599, i_0_1018, i_0_515, i_0_1041, i_0_1229, i_0_986, i_0_1244, i_0_66, i_0_1007, i_0_368, i_0_1274, i_0_77, i_0_1255, i_0_421, i_0_719, i_0_953, i_0_690, i_0_1315, i_0_1097, i_0_924, i_0_374, i_0_357, i_0_1052, i_0_683, i_0_458, i_0_1114, i_0_1207, i_0_790, i_0_356, i_0_96, i_0_891, i_0_1063, i_0_927, i_0_1125, i_0_840, i_0_172, i_0_71, i_0_1258, i_0_166, i_0_821, i_0_573, i_0_345, i_0_869, i_0_1218, i_0_812, i_0_486, i_0_731, i_0_521, i_0_714, i_0_843, i_0_189, i_0_155, i_0_274, i_0_202, i_0_1247, i_0_1157, i_0_660, i_0_233, i_0_80, i_0_645, i_0_934, i_0_129, i_0_161, i_0_964, i_0_797, i_0_940, i_0_107, i_0_1072, i_0_89, i_0_226, i_0_1061, i_0_997, i_0_916, i_0_62, i_0_387, i_0_598, i_0_1002, i_0_1225, i_0_497, i_0_720, i_0_1045, i_0_854, i_0_103, i_0_519, i_0_251, i_0_1278, i_0_73, i_0_944, i_0_696, i_0_1103, i_0_464, i_0_801, i_0_1053, i_0_999, i_0_532, i_0_1191, i_0_1265, i_0_118, i_0_375, i_0_213, i_0_150, i_0_475, i_0_1319, i_0_237, i_0_859, i_0_905, i_0_263, i_0_364, i_0_144, i_0_862, i_0_1136, i_0_240, i_0_177, i_0_1056, i_0_708, i_0_865, i_0_216, i_0_222, i_0_1028, i_0_966, i_0_60, i_0_1034, i_0_1118, i_0_786, i_0_1232, i_0_938, i_0_901, i_0_606, i_0_1121, i_0_380, i_0_111, i_0_393, i_0_977, i_0_1289, i_0_353, i_0_1308, i_0_450, i_0_703, i_0_196, i_0_832, i_0_699, i_0_125, i_0_1144, i_0_949, i_0_581, i_0_371, i_0_1186, i_0_1083, i_0_1273, i_0_617, i_0_51, i_0_1013, rule_true, i_0_136, i_0_649, i_0_1119, i_0_435, i_0_1168, i_0_808, i_0_666, i_0_540, i_0_360, i_0_955, i_0_1132, i_0_1179, i_0_320, i_0_677, i_0_1221, i_0_1107, i_0_638, i_0_331, i_0_180, i_0_255, i_0_970, i_0_587, i_0_688, i_0_627, i_0_205, i_0_569, i_0_398, i_0_779, i_0_551, i_0_1303, i_0_4, i_0_1094, i_0_185, i_0_736, i_0_1006, i_0_1236, i_0_100, i_0_429, i_0_424, i_0_367, i_0_912, i_0_191, i_0_725, i_0_244, i_0_349, i_0_975, i_0_1314, i_0_101, i_0_729, i_0_266, i_0_980, i_0_1197, i_0_769, i_0_215, i_0_1286, i_0_945, i_0_391, i_0_208, i_0_1152, i_0_837, i_0_97, i_0_894, i_0_973, i_0_382, i_0_5, i_0_192, i_0_603, i_0_342, i_0_415, i_0_112, i_0_494, i_0_1024, i_0_632, i_0_1055, i_0_680, i_0_455, i_0_246, i_0_711, i_0_1017, i_0_169, i_0_483, i_0_826, i_0_1282, i_0_37, i_0_967, i_0_273, i_0_404, i_0_584, i_0_1189, i_0_25, i_0_1085, i_0_788, i_0_33, i_0_1091, i_0_643, i_0_181, i_0_654, i_0_1310, i_0_582, i_0_700, i_0_499, i_0_1262, i_0_1096, i_0_990, i_0_143, i_0_804, i_0_595, i_0_91, i_0_310, i_0_614, i_0_1143, i_0_931, i_0_1133, i_0_911, i_0_22, i_0_444, i_0_1297, i_0_86, i_0_354, i_0_1122, i_0_59, i_0_1048, i_0_809, i_0_1220, i_0_799, i_0_520, i_0_488, i_0_158, i_0_1231, i_0_593, i_0_956, i_0_83, i_0_472, i_0_262, i_0_1254, i_0_1202, i_0_327, i_0_241, i_0_176, i_0_1040, i_0_995, i_0_10, i_0_165, i_0_758, i_0_219, i_0_422, i_0_558, i_0_376, i_0_151, i_0_122, i_0_1020, i_0_547, i_0_1009, i_0_621, i_0_466, i_0_850, i_0_920, i_0_1074, i_0_338, i_0_401, i_0_978, i_0_1243, i_0_332, i_0_989, i_0_795, i_0_883, i_0_1129, i_0_451, i_0_1111, i_0_365, i_0_1293, i_0_1275, i_0_718, i_0_386, i_0_230, i_0_1316, i_0_316, i_0_11, i_0_923, i_0_1170, i_0_433, i_0_14, i_0_1204, i_0_1269, i_0_872, i_0_707, i_0_305, i_0_140, i_0_848, i_0_134, i_0_747, i_0_199, i_0_1033, i_0_531, i_0_397, i_0_1181, i_0_224, i_0_147, i_0_188, i_0_461, i_0_321, i_0_610, i_0_770, i_0_133, i_0_295, i_0_252, i_0_1215, i_0_962, i_0_235, i_0_1147, i_0_440, i_0_457, i_0_284, i_0_1044, i_0_691, i_0_951, i_0_815, i_0_446, i_0_203, i_0_54, i_0_427, i_0_106, i_0_385, i_0_939, i_0_563, i_0_866, i_0_438, i_0_1029, i_0_1279, i_0_754, i_0_439, i_0_1304, i_0_214, i_0_245, i_0_675, i_0_1084, i_0_906, i_0_491, i_0_534, i_0_546, i_0_1148, i_0_396, i_0_505, i_0_1248, i_0_861, i_0_791, i_0_1208, i_0_65, i_0_412, i_0_635, i_0_1100, i_0_1192, i_0_523, i_0_942, i_0_359, i_0_844, i_0_348, i_0_1003, i_0_574, i_0_1259, i_0_19, i_0_669, i_0_877, i_0_1050, i_0_1014, i_0_256, i_0_849, i_0_928, i_0_229, i_0_309, i_0_1073, i_0_43, i_0_299, i_0_1062, i_0_94, i_0_516, i_0_1038, i_0_743, i_0_732, i_0_811, i_0_1219, i_0_624, i_0_288, i_0_1037, i_0_721, i_0_1088, i_0_664, i_0_1080, i_0_76, i_0_917, i_0_117, i_0_552, i_0_162, i_0_1237, i_0_428, i_0_159, i_0_557, i_0_686, i_0_1167, i_0_1059, i_0_1309, i_0_715, i_0_480, i_0_639, i_0_277, i_0_270, i_0_765, i_0_1066, i_0_890, i_0_710, i_0_607, i_0_281, i_0_899, i_0_538, i_0_726, i_0_646, i_0_419, i_0_822, i_0_204, i_0_465, i_0_760, i_0_984, i_0_6, i_0_36, i_0_1156, i_0_1095, i_0_501, i_0_618, i_0_737, i_0_1266, i_0_527, i_0_888, i_0_1010, i_0_1049, i_0_69, i_0_1226, i_0_315, i_0_512, i_0_15, i_0_697, i_0_782, i_0_568, i_0_704, i_0_154, i_0_26, i_0_579, i_0_304, i_0_776, i_0_657, i_0_1178, i_0_408, i_0_855, i_0_139, i_0_148, i_0_991, i_0_128, i_0_541, i_0_628, i_0_1, i_0_173, i_0_476, i_0_292, i_0_833
% 42.54/10.33  % No. of inferences in proof: 2645
% 42.54/10.33  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 9903 ms resp. 9302 ms w/o parsing
% 43.54/10.82  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 43.54/10.83  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------