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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : SEU892^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Oct  7 10:49:11 AM UTC 2026

% Result   : Theorem 30.90s 5.46s
% Output   : CNFRefutation 30.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   30 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :  169 ( 106 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :  657 (  83   ~;  65   |;  10   &; 494   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  184 ( 184   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :  334 ( 331 usr;   2 con; 0-6 aty)
%            Number of variables   :  203 ( 121   ^;  77   !;   5   ?; 203   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_a,type,
    a: $tType ).

thf(tp_sK100_E,type,
    sK100_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK101_E,type,
    sK101_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK102_E,type,
    sK102_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK103_E,type,
    sK103_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK104_E,type,
    sK104_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK105_E,type,
    sK105_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK106_E,type,
    sK106_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK107_E,type,
    sK107_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK108_E,type,
    sK108_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK109_E,type,
    sK109_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK10_E,type,
    sK10_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK110_E,type,
    sK110_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK111_E,type,
    sK111_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK112_E,type,
    sK112_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK113_E,type,
    sK113_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK114_E,type,
    sK114_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK115_E,type,
    sK115_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK116_E,type,
    sK116_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK117_E,type,
    sK117_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK118_E,type,
    sK118_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK119_E,type,
    sK119_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK11_E,type,
    sK11_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK120_E,type,
    sK120_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK121_E,type,
    sK121_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK122_E,type,
    sK122_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK123_E,type,
    sK123_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK124_E,type,
    sK124_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK125_E,type,
    sK125_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK126_E,type,
    sK126_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK127_E,type,
    sK127_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK128_E,type,
    sK128_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK129_E,type,
    sK129_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK12_E,type,
    sK12_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK130_E,type,
    sK130_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK131_E,type,
    sK131_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK132_E,type,
    sK132_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK133_E,type,
    sK133_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK134_E,type,
    sK134_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK135_E,type,
    sK135_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK136_E,type,
    sK136_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK137_E,type,
    sK137_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK138_E,type,
    sK138_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK139_E,type,
    sK139_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK13_E,type,
    sK13_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK140_E,type,
    sK140_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK141_E,type,
    sK141_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK142_E,type,
    sK142_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK143_E,type,
    sK143_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK144_E,type,
    sK144_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK145_E,type,
    sK145_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK146_E,type,
    sK146_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK147_E,type,
    sK147_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK148_E,type,
    sK148_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK149_E,type,
    sK149_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK14_E,type,
    sK14_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK150_E,type,
    sK150_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK151_E,type,
    sK151_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK152_E,type,
    sK152_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK153_E,type,
    sK153_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK154_E,type,
    sK154_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK155_E,type,
    sK155_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK156_E,type,
    sK156_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK157_E,type,
    sK157_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK158_E,type,
    sK158_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK159_E,type,
    sK159_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK15_E,type,
    sK15_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK160_E,type,
    sK160_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK161_E,type,
    sK161_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK162_E,type,
    sK162_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK163_E,type,
    sK163_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK164_E,type,
    sK164_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK165_E,type,
    sK165_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK166_E,type,
    sK166_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK167_E,type,
    sK167_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK168_E,type,
    sK168_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK169_E,type,
    sK169_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK16_E,type,
    sK16_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK170_E,type,
    sK170_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK171_E,type,
    sK171_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK172_E,type,
    sK172_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK173_E,type,
    sK173_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK174_E,type,
    sK174_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK175_E,type,
    sK175_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK176_E,type,
    sK176_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK177_E,type,
    sK177_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK178_E,type,
    sK178_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK179_E,type,
    sK179_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK17_E,type,
    sK17_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK180_E,type,
    sK180_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK181_E,type,
    sK181_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK182_E,type,
    sK182_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK183_E,type,
    sK183_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK184_E,type,
    sK184_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK185_E,type,
    sK185_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK186_E,type,
    sK186_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK187_E,type,
    sK187_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK188_E,type,
    sK188_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK189_E,type,
    sK189_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK18_E,type,
    sK18_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK190_E,type,
    sK190_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK191_E,type,
    sK191_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK192_E,type,
    sK192_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK193_E,type,
    sK193_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK194_E,type,
    sK194_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK195_E,type,
    sK195_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK196_E,type,
    sK196_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK197_E,type,
    sK197_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK198_E,type,
    sK198_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK199_E,type,
    sK199_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK19_E,type,
    sK19_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK1_SY7,type,
    sK1_SY7: ( ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK200_E,type,
    sK200_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK201_E,type,
    sK201_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK202_E,type,
    sK202_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK203_E,type,
    sK203_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK204_E,type,
    sK204_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK205_E,type,
    sK205_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK206_E,type,
    sK206_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK207_E,type,
    sK207_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK208_E,type,
    sK208_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK209_E,type,
    sK209_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK20_E,type,
    sK20_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK210_E,type,
    sK210_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK211_E,type,
    sK211_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK212_E,type,
    sK212_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK213_E,type,
    sK213_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK214_E,type,
    sK214_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK215_E,type,
    sK215_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK216_E,type,
    sK216_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK217_E,type,
    sK217_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK218_E,type,
    sK218_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK219_E,type,
    sK219_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK21_E,type,
    sK21_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK220_E,type,
    sK220_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK221_E,type,
    sK221_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK222_E,type,
    sK222_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK223_E,type,
    sK223_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK224_E,type,
    sK224_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK225_E,type,
    sK225_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK226_E,type,
    sK226_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK227_E,type,
    sK227_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK228_E,type,
    sK228_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK229_E,type,
    sK229_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK22_E,type,
    sK22_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK230_E,type,
    sK230_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK231_E,type,
    sK231_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK232_E,type,
    sK232_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK233_E,type,
    sK233_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK234_E,type,
    sK234_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK235_E,type,
    sK235_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK236_E,type,
    sK236_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK237_E,type,
    sK237_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK238_E,type,
    sK238_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK239_E,type,
    sK239_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK23_E,type,
    sK23_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK240_E,type,
    sK240_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK241_E,type,
    sK241_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK242_E,type,
    sK242_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK243_E,type,
    sK243_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK244_E,type,
    sK244_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK245_E,type,
    sK245_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK246_E,type,
    sK246_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK247_E,type,
    sK247_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK248_E,type,
    sK248_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK249_E,type,
    sK249_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK24_E,type,
    sK24_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK250_E,type,
    sK250_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK251_E,type,
    sK251_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK252_E,type,
    sK252_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK253_E,type,
    sK253_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK254_E,type,
    sK254_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK255_E,type,
    sK255_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK256_E,type,
    sK256_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK257_E,type,
    sK257_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK258_E,type,
    sK258_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK259_E,type,
    sK259_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK25_E,type,
    sK25_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK260_E,type,
    sK260_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK261_E,type,
    sK261_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK262_E,type,
    sK262_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK263_E,type,
    sK263_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK264_E,type,
    sK264_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK265_E,type,
    sK265_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK266_E,type,
    sK266_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK267_E,type,
    sK267_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK268_E,type,
    sK268_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK269_E,type,
    sK269_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK26_E,type,
    sK26_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK270_E,type,
    sK270_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK271_E,type,
    sK271_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK272_E,type,
    sK272_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK273_E,type,
    sK273_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK274_E,type,
    sK274_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK275_E,type,
    sK275_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK276_E,type,
    sK276_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK277_E,type,
    sK277_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK278_E,type,
    sK278_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK279_E,type,
    sK279_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK27_E,type,
    sK27_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK280_E,type,
    sK280_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK281_E,type,
    sK281_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK282_E,type,
    sK282_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK283_E,type,
    sK283_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK284_E,type,
    sK284_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK285_E,type,
    sK285_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK286_E,type,
    sK286_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK287_E,type,
    sK287_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK288_E,type,
    sK288_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK289_E,type,
    sK289_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK28_E,type,
    sK28_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK290_E,type,
    sK290_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK291_E,type,
    sK291_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK292_E,type,
    sK292_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK293_E,type,
    sK293_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK294_E,type,
    sK294_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK295_E,type,
    sK295_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK296_E,type,
    sK296_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK297_E,type,
    sK297_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK298_E,type,
    sK298_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK299_E,type,
    sK299_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK29_E,type,
    sK29_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK2_SY10,type,
    sK2_SY10: ( ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK300_E,type,
    sK300_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK301_E,type,
    sK301_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK302_E,type,
    sK302_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK303_E,type,
    sK303_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK304_E,type,
    sK304_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK305_E,type,
    sK305_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK306_E,type,
    sK306_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK307_E,type,
    sK307_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK308_E,type,
    sK308_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK309_E,type,
    sK309_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK30_E,type,
    sK30_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK310_E,type,
    sK310_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK311_E,type,
    sK311_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK312_E,type,
    sK312_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK313_E,type,
    sK313_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK314_E,type,
    sK314_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK315_E,type,
    sK315_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK316_E,type,
    sK316_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK317_E,type,
    sK317_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK318_E,type,
    sK318_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK319_E,type,
    sK319_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK31_E,type,
    sK31_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK320_E,type,
    sK320_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK321_E,type,
    sK321_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK322_E,type,
    sK322_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK323_E,type,
    sK323_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK324_E,type,
    sK324_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK325_E,type,
    sK325_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK326_E,type,
    sK326_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK327_E,type,
    sK327_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK328_E,type,
    sK328_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK329_E,type,
    sK329_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK32_E,type,
    sK32_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK330_E,type,
    sK330_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK331_E,type,
    sK331_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK33_E,type,
    sK33_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK34_E,type,
    sK34_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK35_E,type,
    sK35_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK36_E,type,
    sK36_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK37_E,type,
    sK37_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK38_E,type,
    sK38_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK39_E,type,
    sK39_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > a ) > a > a ).

thf(tp_sK3_SY15,type,
    sK3_SY15: ( ( a > a ) > ( a > a ) > $o ) > a ).

thf(tp_sK40_E,type,
    sK40_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK41_E,type,
    sK41_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK42_E,type,
    sK42_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK43_E,type,
    sK43_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK44_E,type,
    sK44_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK45_E,type,
    sK45_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK46_E,type,
    sK46_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK47_E,type,
    sK47_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK48_E,type,
    sK48_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK49_E,type,
    sK49_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK4_E,type,
    sK4_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK50_E,type,
    sK50_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK51_E,type,
    sK51_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK52_E,type,
    sK52_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK53_E,type,
    sK53_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK54_E,type,
    sK54_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK55_E,type,
    sK55_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK56_E,type,
    sK56_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK57_E,type,
    sK57_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK58_E,type,
    sK58_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK59_E,type,
    sK59_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK5_E,type,
    sK5_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK60_E,type,
    sK60_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK61_E,type,
    sK61_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK62_E,type,
    sK62_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK63_E,type,
    sK63_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK64_E,type,
    sK64_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK65_E,type,
    sK65_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK66_E,type,
    sK66_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK67_E,type,
    sK67_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK68_E,type,
    sK68_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK69_E,type,
    sK69_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK6_E,type,
    sK6_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK70_E,type,
    sK70_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK71_E,type,
    sK71_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK72_E,type,
    sK72_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK73_E,type,
    sK73_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK74_E,type,
    sK74_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK75_E,type,
    sK75_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK76_E,type,
    sK76_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK77_E,type,
    sK77_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK78_E,type,
    sK78_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK79_E,type,
    sK79_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK7_E,type,
    sK7_E: ( ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK80_E,type,
    sK80_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK81_E,type,
    sK81_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK82_E,type,
    sK82_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK83_E,type,
    sK83_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK84_E,type,
    sK84_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK85_E,type,
    sK85_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK86_E,type,
    sK86_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK87_E,type,
    sK87_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK88_E,type,
    sK88_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK89_E,type,
    sK89_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK8_E,type,
    sK8_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK90_E,type,
    sK90_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK91_E,type,
    sK91_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK92_E,type,
    sK92_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK93_E,type,
    sK93_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK94_E,type,
    sK94_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK95_E,type,
    sK95_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK96_E,type,
    sK96_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK97_E,type,
    sK97_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK98_E,type,
    sK98_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK99_E,type,
    sK99_E: ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(tp_sK9_E,type,
    sK9_E: ( ( a > a ) > ( a > a ) > a ) > ( ( a > a ) > ( a > a ) > ( a > a ) > ( a > a ) > $o ) > a > a ).

thf(1,conjecture,
    ? [Xi: ( a > a ) > ( a > a ) > $o] :
      ( ! [Xg: a > a] :
          ( ( Xi @ Xg
            @ ^ [Xx: a] : Xx )
          & ( Xi @ Xg
            @ ^ [Xx: a] : ( Xg @ ( Xg @ Xx ) ) ) )
      & ! [Xf: a > a,Xy: a] :
          ( ( Xi
            @ ^ [Xx: a] : Xy
            @ Xf )
         => ( ( Xf @ Xy )
            = Xy ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX6104) ).

thf(2,negated_conjecture,
    ( ( ? [Xi: ( a > a ) > ( a > a ) > $o] :
          ( ! [Xg: a > a] :
              ( ( Xi @ Xg
                @ ^ [Xx: a] : Xx )
              & ( Xi @ Xg
                @ ^ [Xx: a] : ( Xg @ ( Xg @ Xx ) ) ) )
          & ! [Xf: a > a,Xy: a] :
              ( ( Xi
                @ ^ [Xx: a] : Xy
                @ Xf )
             => ( ( Xf @ Xy )
                = Xy ) ) ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ( ( ? [Xi: ( a > a ) > ( a > a ) > $o] :
          ( ! [Xg: a > a] :
              ( ( Xi @ Xg
                @ ^ [Xx: a] : Xx )
              & ( Xi @ Xg
                @ ^ [Xx: a] : ( Xg @ ( Xg @ Xx ) ) ) )
          & ! [Xf: a > a,Xy: a] :
              ( ( Xi
                @ ^ [Xx: a] : Xy
                @ Xf )
             => ( ( Xf @ Xy )
                = Xy ) ) ) )
    = $false ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(4,plain,
    ( ( ~ ? [Xi: ( a > a ) > ( a > a ) > $o] :
            ( ! [Xg: a > a] :
                ( ( Xi @ Xg
                  @ ^ [Xx: a] : Xx )
                & ( Xi @ Xg
                  @ ^ [Xx: a] : ( Xg @ ( Xg @ Xx ) ) ) )
            & ! [Xf: a > a,Xy: a] :
                ( ( Xi
                  @ ^ [Xx: a] : Xy
                  @ Xf )
               => ( ( Xf @ Xy )
                  = Xy ) ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[3]) ).

thf(5,plain,
    ( ( ~ ? [Xi: ( a > a ) > ( a > a ) > $o] :
            ( ! [Xg: a > a] :
                ( ( Xi @ Xg
                  @ ^ [Xx: a] : Xx )
                & ( Xi @ Xg
                  @ ^ [Xx: a] : ( Xg @ ( Xg @ Xx ) ) ) )
            & ! [Xf: a > a,Xy: a] :
                ( ( Xi
                  @ ^ [Xx: a] : Xy
                  @ Xf )
               => ( ( Xf @ Xy )
                  = Xy ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[4]) ).

thf(6,plain,
    ( ( ~ ~ ! [SX0: ( a > a ) > ( a > a ) > $o] :
              ~ ~ ( ~ ! [SX1: a > a] :
                        ~ ( ~ ( SX0 @ SX1
                              @ ^ [SX2: a] : SX2 )
                          | ~ ( SX0 @ SX1
                              @ ^ [SX2: a] : ( SX1 @ ( SX1 @ SX2 ) ) ) )
                  | ~ ! [SX1: a > a,SX2: a] :
                        ( ~ ( SX0
                            @ ^ [SX3: a] : SX2
                            @ SX1 )
                        | ( ( SX1 @ SX2 )
                          = SX2 ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(7,plain,
    ( ( ~ ! [SX0: ( a > a ) > ( a > a ) > $o] :
            ~ ~ ( ~ ! [SX1: a > a] :
                      ~ ( ~ ( SX0 @ SX1
                            @ ^ [SX2: a] : SX2 )
                        | ~ ( SX0 @ SX1
                            @ ^ [SX2: a] : ( SX1 @ ( SX1 @ SX2 ) ) ) )
                | ~ ! [SX1: a > a,SX2: a] :
                      ( ~ ( SX0
                          @ ^ [SX3: a] : SX2
                          @ SX1 )
                      | ( ( SX1 @ SX2 )
                        = SX2 ) ) ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[6]) ).

thf(8,plain,
    ( ( ! [SX0: ( a > a ) > ( a > a ) > $o] :
          ~ ~ ( ~ ! [SX1: a > a] :
                    ~ ( ~ ( SX0 @ SX1
                          @ ^ [SX2: a] : SX2 )
                      | ~ ( SX0 @ SX1
                          @ ^ [SX2: a] : ( SX1 @ ( SX1 @ SX2 ) ) ) )
              | ~ ! [SX1: a > a,SX2: a] :
                    ( ~ ( SX0
                        @ ^ [SX3: a] : SX2
                        @ SX1 )
                    | ( ( SX1 @ SX2 )
                      = SX2 ) ) ) )
    = $true ),
    inference(extcnf_not_neg,[status(thm)],[7]) ).

thf(9,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ~ ~ ( ~ ! [SY7: a > a] :
                    ~ ( ~ ( SV1 @ SY7
                          @ ^ [SX2: a] : SX2 )
                      | ~ ( SV1 @ SY7
                          @ ^ [SX2: a] : ( SY7 @ ( SY7 @ SX2 ) ) ) )
              | ~ ! [SY10: a > a,SY11: a] :
                    ( ~ ( SV1
                        @ ^ [SX3: a] : SY11
                        @ SY10 )
                    | ( ( SY10 @ SY11 )
                      = SY11 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[8]) ).

thf(10,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ~ ( ~ ! [SY7: a > a] :
                  ~ ( ~ ( SV1 @ SY7
                        @ ^ [SX2: a] : SX2 )
                    | ~ ( SV1 @ SY7
                        @ ^ [SX2: a] : ( SY7 @ ( SY7 @ SX2 ) ) ) )
            | ~ ! [SY10: a > a,SY11: a] :
                  ( ~ ( SV1
                      @ ^ [SX3: a] : SY11
                      @ SY10 )
                  | ( ( SY10 @ SY11 )
                    = SY11 ) ) ) )
      = $false ),
    inference(extcnf_not_pos,[status(thm)],[9]) ).

thf(11,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ~ ! [SY7: a > a] :
              ~ ( ~ ( SV1 @ SY7
                    @ ^ [SX2: a] : SX2 )
                | ~ ( SV1 @ SY7
                    @ ^ [SX2: a] : ( SY7 @ ( SY7 @ SX2 ) ) ) )
        | ~ ! [SY10: a > a,SY11: a] :
              ( ~ ( SV1
                  @ ^ [SX3: a] : SY11
                  @ SY10 )
              | ( ( SY10 @ SY11 )
                = SY11 ) ) )
      = $true ),
    inference(extcnf_not_neg,[status(thm)],[10]) ).

thf(12,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ! [SY7: a > a] :
                ~ ( ~ ( SV1 @ SY7
                      @ ^ [SX2: a] : SX2 )
                  | ~ ( SV1 @ SY7
                      @ ^ [SX2: a] : ( SY7 @ ( SY7 @ SX2 ) ) ) ) )
        = $true )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[11]) ).

thf(13,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ! [SY7: a > a] :
              ~ ( ~ ( SV1 @ SY7
                    @ ^ [SX2: a] : SX2 )
                | ~ ( SV1 @ SY7
                    @ ^ [SX2: a] : ( SY7 @ ( SY7 @ SX2 ) ) ) ) )
        = $false )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[12]) ).

thf(14,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ( ~ ( SV1 @ ( sK1_SY7 @ SV1 )
                  @ ^ [SX2: a] : SX2 )
              | ~ ( SV1 @ ( sK1_SY7 @ SV1 )
                  @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) ) ) )
        = $false )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_forall_neg,[status(esa)],[13]) ).

thf(15,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_SY7 @ SV1 )
              @ ^ [SX2: a] : SX2 )
          | ~ ( SV1 @ ( sK1_SY7 @ SV1 )
              @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) ) )
        = $true )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[14]) ).

thf(16,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ( SV1 @ ( sK1_SY7 @ SV1 )
              @ ^ [SX2: a] : SX2 ) )
        = $true )
      | ( ( ~ ( SV1 @ ( sK1_SY7 @ SV1 )
              @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) ) )
        = $true )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[15]) ).

thf(17,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( ~ ( SV1 @ ( sK1_SY7 @ SV1 )
              @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) ) )
        = $true )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[16]) ).

thf(18,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( ~ ! [SY10: a > a,SY11: a] :
                ( ~ ( SV1
                    @ ^ [SX3: a] : SY11
                    @ SY10 )
                | ( ( SY10 @ SY11 )
                  = SY11 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[17]) ).

thf(19,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ! [SY10: a > a,SY11: a] :
              ( ~ ( SV1
                  @ ^ [SX3: a] : SY11
                  @ SY10 )
              | ( ( SY10 @ SY11 )
                = SY11 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[18]) ).

thf(20,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ! [SY15: a] :
              ( ~ ( SV1
                  @ ^ [SX3: a] : SY15
                  @ ( sK2_SY10 @ SV1 ) )
              | ( ( sK2_SY10 @ SV1 @ SY15 )
                = SY15 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[19]) ).

thf(21,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ( SV1
              @ ^ [SY17: a] : ( sK3_SY15 @ SV1 )
              @ ( sK2_SY10 @ SV1 ) )
          | ( ( sK2_SY10 @ SV1 @ ( sK3_SY15 @ SV1 ) )
            = ( sK3_SY15 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_forall_neg,[status(esa)],[20]) ).

thf(22,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ~ ( SV1
              @ ^ [SY17: a] : ( sK3_SY15 @ SV1 )
              @ ( sK2_SY10 @ SV1 ) ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(23,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ( sK2_SY10 @ SV1 @ ( sK3_SY15 @ SV1 ) )
          = ( sK3_SY15 @ SV1 ) )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_or_neg,[status(thm)],[21]) ).

thf(24,plain,
    ! [SV1: ( a > a ) > ( a > a ) > $o] :
      ( ( ( SV1
          @ ^ [SY17: a] : ( sK3_SY15 @ SV1 )
          @ ( sK2_SY10 @ SV1 ) )
        = $true )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SX2: a] : SX2 )
        = $false )
      | ( ( SV1 @ ( sK1_SY7 @ SV1 )
          @ ^ [SY14: a] : ( sK1_SY7 @ SV1 @ ( sK1_SY7 @ SV1 @ SY14 ) ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[22]) ).

thf(25,plain,
    ! [SV2: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ( sK2_SY10 @ SV2 @ ( sK3_SY15 @ SV2 ) )
          = ( sK3_SY15 @ SV2 ) )
        = $false )
      | ( ( SV2 @ ( sK1_SY7 @ SV2 )
          @ ^ [SX0: a] : SX0 )
        = $false )
      | ( ( SV2 @ ( sK1_SY7 @ SV2 )
          @ ^ [SX0: a] : ( sK1_SY7 @ SV2 @ ( sK1_SY7 @ SV2 @ SX0 ) ) )
        = $false ) ),
    inference(rename,[status(thm)],[23]) ).

thf(26,plain,
    ! [SV3: ( a > a ) > ( a > a ) > $o] :
      ( ( ( SV3
          @ ^ [SX0: a] : ( sK3_SY15 @ SV3 )
          @ ( sK2_SY10 @ SV3 ) )
        = $true )
      | ( ( SV3 @ ( sK1_SY7 @ SV3 )
          @ ^ [SX0: a] : SX0 )
        = $false )
      | ( ( SV3 @ ( sK1_SY7 @ SV3 )
          @ ^ [SX0: a] : ( sK1_SY7 @ SV3 @ ( sK1_SY7 @ SV3 @ SX0 ) ) )
        = $false ) ),
    inference(rename,[status(thm)],[24]) ).

thf(33,plain,
    ! [SV3: ( a > a ) > ( a > a ) > $o,SV2: ( a > a ) > ( a > a ) > $o] :
      ( ( ( ( SV3
            @ ^ [SX0: a] : ( sK3_SY15 @ SV3 )
            @ ( sK2_SY10 @ SV3 ) )
          = ( ( sK2_SY10 @ SV2 @ ( sK3_SY15 @ SV2 ) )
            = ( sK3_SY15 @ SV2 ) ) )
        = $false )
      | ( ( SV3 @ ( sK1_SY7 @ SV3 )
          @ ^ [SX0: a] : SX0 )
        = $false )
      | ( ( SV3 @ ( sK1_SY7 @ SV3 )
          @ ^ [SX0: a] : ( sK1_SY7 @ SV3 @ ( sK1_SY7 @ SV3 @ SX0 ) ) )
        = $false )
      | ( ( SV2 @ ( sK1_SY7 @ SV2 )
          @ ^ [SX0: a] : SX0 )
        = $false )
      | ( ( SV2 @ ( sK1_SY7 @ SV2 )
          @ ^ [SX0: a] : ( sK1_SY7 @ SV2 @ ( sK1_SY7 @ SV2 @ SX0 ) ) )
        = $false ) ),
    inference(res,[status(thm)],[26,25]) ).

thf(217,plain,
    ! [SV105: ( a > a ) > ( a > a ) > a,SV536: ( a > a ) > ( a > a ) > a] :
      ( ( ( ( SV536
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] :
                ( sK1_SY7
                @ ^ [SX1: a > a,SX2: a > a] :
                    ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                    = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                @ ( sK1_SY7
                  @ ^ [SX1: a > a,SX2: a > a] :
                      ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                      = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) )
          = ( SV105
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] :
                ( sK1_SY7
                @ ^ [SX1: a > a,SX2: a > a] :
                    ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                    = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                @ ( sK1_SY7
                  @ ^ [SX1: a > a,SX2: a > a] :
                      ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                      = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV536
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] : SX0 )
          = ( SV105
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] : SX0 ) )
        = $false )
      | ( ( ( SV536
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] :
                ( sK1_SY7
                @ ^ [SX1: a > a,SX2: a > a] :
                    ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                    = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                @ ( sK1_SY7
                  @ ^ [SX1: a > a,SX2: a > a] :
                      ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                      = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) )
          = ( SV105
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] :
                ( sK1_SY7
                @ ^ [SX1: a > a,SX2: a > a] :
                    ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                    = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                @ ( sK1_SY7
                  @ ^ [SX1: a > a,SX2: a > a] :
                      ( ( SX1 @ ( SX2 @ ( SV536 @ SX1 @ SX2 ) ) )
                      = ( SX2 @ ( SX1 @ ( SV105 @ SX1 @ SX2 ) ) ) )
                  @ SX0 ) ) ) )
        = $false )
      | ( ( ( SV536
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] : SX0 )
          = ( SV105
            @ ( sK1_SY7
              @ ^ [SX0: a > a,SX1: a > a] :
                  ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) )
                  = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )
            @ ^ [SX0: a] : SX0 ) )
        = $false ) ),
    inference(extuni,[status(esa)],[33:[bind(SV2,$thf( ^ [SX0: a > a] : ^ [SX1: a > a] : ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) ) = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) )),bind(SV3,$thf( ^ [SX0: a > a] : ^ [SX1: a > a] : ( ( SX0 @ ( SX1 @ ( SV536 @ SX0 @ SX1 ) ) ) = ( SX1 @ ( SX0 @ ( SV105 @ SX0 @ SX1 ) ) ) ) ))]]) ).

thf(218,plain,
    $false = $true,
    inference(flexflex,[status(thm)],[217]) ).

thf(219,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU892^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.20  % Computer : n014.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Tue Oct  6 15:37:41 UTC 2026
% 0.08/0.21  % CPUTime  : 
% 0.08/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.90/5.46  
% 30.90/5.46   No.of.Axioms: 0
% 30.90/5.46  
% 30.90/5.46   Length.of.Defs: 0
% 30.90/5.46  
% 30.90/5.46   Contains.Choice.Funs: false
% 30.90/5.46  ............................................................
% 30.90/5.46  
% 30.90/5.46  ********************************
% 30.90/5.46  *   All subproblems solved!    *
% 30.90/5.46  ********************************
% 30.90/5.46  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:218,loop_count:2,foatp_calls:1,translation:fof_full)
% 30.90/5.46  
% 30.90/5.46  %**** Beginning of derivation protocol ****
% 30.90/5.46  % SZS output start CNFRefutation
% See solution above
% 30.90/5.47  
% 30.90/5.47  %**** End of derivation protocol ****
% 30.90/5.47  %**** no. of clauses in derivation: 30 ****
% 30.90/5.47  %**** clause counter: 218 ****
% 30.90/5.47  
% 30.90/5.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:218,loop_count:2,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------