TSTP Solution File: SET805+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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  : 600s
% DateTime : Tue Jul 19 00:14:17 EDT 2022

% Result   : Theorem 148.04s 20.26s
% Output   : CNFRefutation 148.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   69
% Syntax   : Number of clauses     :  268 (  15 unt; 215 nHn; 222 RR)
%            Number of literals    : 1129 (  49 equ; 436 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  436 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_55,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_55) ).

cnf(i_0_60,negated_conjecture,
    subset(esk13_0,esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_60) ).

cnf(i_0_137,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,X4)
    | ~ member(X5,X4)
    | ~ member(X2,X4)
    | ~ epred1_2(X1,X4)
    | ~ apply(X1,X5,X3)
    | ~ apply(X1,X2,X5) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_137) ).

cnf(i_0_126,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_126) ).

cnf(i_0_128,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_128) ).

cnf(i_0_129,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_129) ).

cnf(i_0_130,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_130) ).

cnf(i_0_125,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_125) ).

cnf(i_0_127,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_127) ).

cnf(i_0_132,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_132) ).

cnf(i_0_134,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_134) ).

cnf(i_0_135,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_135) ).

cnf(i_0_138,plain,
    ( X1 = X2
    | ~ member(X2,X3)
    | ~ member(X1,X3)
    | ~ epred1_2(X4,X3)
    | ~ apply(X4,X2,X1)
    | ~ apply(X4,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_138) ).

cnf(i_0_117,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_117) ).

cnf(i_0_123,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_123) ).

cnf(i_0_111,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_111) ).

cnf(i_0_136,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_136) ).

cnf(i_0_116,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_116) ).

cnf(i_0_122,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_122) ).

cnf(i_0_110,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_110) ).

cnf(i_0_131,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_131) ).

cnf(i_0_133,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_133) ).

cnf(i_0_118,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_118) ).

cnf(i_0_124,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_124) ).

cnf(i_0_112,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_112) ).

cnf(i_0_115,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_115) ).

cnf(i_0_114,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_114) ).

cnf(i_0_45,plain,
    ( epred1_2(X1,X2)
    | ~ order(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_45) ).

cnf(i_0_61,negated_conjecture,
    order(esk11_0,esk12_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_61) ).

cnf(i_0_121,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_121) ).

cnf(i_0_139,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_139) ).

cnf(i_0_59,negated_conjecture,
    ~ order(esk11_0,esk13_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_59) ).

cnf(i_0_44,plain,
    ( order(X1,X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_44) ).

cnf(i_0_120,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_120) ).

cnf(i_0_96,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_96) ).

cnf(i_0_98,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_98) ).

cnf(i_0_99,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_99) ).

cnf(i_0_102,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_102) ).

cnf(i_0_104,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_104) ).

cnf(i_0_105,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_105) ).

cnf(i_0_100,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_100) ).

cnf(i_0_106,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_106) ).

cnf(i_0_113,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_113) ).

cnf(i_0_119,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_119) ).

cnf(i_0_95,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_95) ).

cnf(i_0_101,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_101) ).

cnf(i_0_93,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_93) ).

cnf(i_0_87,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_87) ).

cnf(i_0_81,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_81) ).

cnf(i_0_97,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_97) ).

cnf(i_0_103,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_103) ).

cnf(i_0_94,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_94) ).

cnf(i_0_88,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_88) ).

cnf(i_0_82,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_82) ).

cnf(i_0_108,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_108) ).

cnf(i_0_92,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_92) ).

cnf(i_0_86,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_86) ).

cnf(i_0_80,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_80) ).

cnf(i_0_107,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_107) ).

cnf(i_0_109,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_109) ).

cnf(i_0_85,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_85) ).

cnf(i_0_78,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_78) ).

cnf(i_0_91,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_91) ).

cnf(i_0_84,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_84) ).

cnf(i_0_90,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_90) ).

cnf(i_0_77,plain,
    ( epred1_2(X1,X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_77) ).

cnf(i_0_79,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_79) ).

cnf(i_0_83,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_83) ).

cnf(i_0_89,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-koujhn9x/input.p',i_0_89) ).

cnf(c_0_209,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    i_0_55 ).

cnf(c_0_210,negated_conjecture,
    subset(esk13_0,esk12_0),
    i_0_60 ).

cnf(c_0_211,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,X4)
    | ~ member(X5,X4)
    | ~ member(X2,X4)
    | ~ epred1_2(X1,X4)
    | ~ apply(X1,X5,X3)
    | ~ apply(X1,X2,X5) ),
    i_0_137 ).

cnf(c_0_212,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_126 ).

cnf(c_0_213,negated_conjecture,
    ( member(X1,esk12_0)
    | ~ member(X1,esk13_0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_214,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_128 ).

cnf(c_0_215,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    i_0_129 ).

cnf(c_0_216,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | member(esk17_2(X3,X1),X3)
    | member(esk19_2(X3,X1),X3)
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_212]) ).

cnf(c_0_217,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk19_2(esk13_0,X1),esk13_0)
    | member(esk22_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_218,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk19_2(esk13_0,X1),esk13_0)
    | member(esk21_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_215]) ).

cnf(c_0_219,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    i_0_130 ).

cnf(c_0_220,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_125 ).

cnf(c_0_221,negated_conjecture,
    ( apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk19_2(esk13_0,X1),esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]) ).

cnf(c_0_222,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk19_2(esk13_0,X1),esk13_0)
    | member(esk20_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_219]) ).

cnf(c_0_223,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_127 ).

cnf(c_0_224,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_132 ).

cnf(c_0_225,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_134 ).

cnf(c_0_226,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    i_0_135 ).

cnf(c_0_227,plain,
    ( X1 = X2
    | ~ member(X2,X3)
    | ~ member(X1,X3)
    | ~ epred1_2(X4,X3)
    | ~ apply(X4,X2,X1)
    | ~ apply(X4,X1,X2) ),
    i_0_138 ).

cnf(c_0_228,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_117 ).

cnf(c_0_229,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_123 ).

cnf(c_0_230,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    i_0_111 ).

cnf(c_0_231,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk19_2(esk13_0,X1),esk13_0)
    | ~ epred1_2(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_221]),c_0_222]),c_0_223]) ).

cnf(c_0_232,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | member(esk17_2(X3,X1),X3)
    | member(esk18_2(X3,X1),X3)
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_224]) ).

cnf(c_0_233,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk18_2(esk13_0,X1),esk13_0)
    | member(esk22_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_225]) ).

cnf(c_0_234,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk18_2(esk13_0,X1),esk13_0)
    | member(esk21_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_226]) ).

cnf(c_0_235,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2) ),
    i_0_136 ).

cnf(c_0_236,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_116 ).

cnf(c_0_237,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_122 ).

cnf(c_0_238,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    i_0_110 ).

cnf(c_0_239,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ epred1_2(X1,X3)
    | ~ member(esk19_2(X2,X1),X3)
    | ~ member(esk18_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_230]) ).

cnf(c_0_240,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk19_2(esk13_0,X1),esk12_0)
    | ~ epred1_2(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_231]) ).

cnf(c_0_241,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_131 ).

cnf(c_0_242,negated_conjecture,
    ( apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk18_2(esk13_0,X1),esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]) ).

cnf(c_0_243,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk18_2(esk13_0,X1),esk13_0)
    | member(esk20_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_235]) ).

cnf(c_0_244,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_133 ).

cnf(c_0_245,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_118 ).

cnf(c_0_246,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_124 ).

cnf(c_0_247,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    i_0_112 ).

cnf(c_0_248,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ epred1_2(X1,X3)
    | ~ member(esk19_2(X2,X1),X3)
    | ~ member(esk18_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_236]),c_0_237]),c_0_238]) ).

cnf(c_0_249,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_115 ).

cnf(c_0_250,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk21_2(esk13_0,X1),esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_251,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk18_2(esk13_0,X1),esk13_0)
    | ~ epred1_2(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243]),c_0_244]) ).

cnf(c_0_252,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ epred1_2(X1,X3)
    | ~ member(esk19_2(X2,X1),X3)
    | ~ member(esk18_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_245]),c_0_246]),c_0_247]) ).

cnf(c_0_253,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_114 ).

cnf(c_0_254,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk22_2(esk13_0,X1),esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_248,c_0_240]) ).

cnf(c_0_255,plain,
    ( apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,X3,esk21_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,X3,esk20_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk20_2(X2,X1),X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_249]) ).

cnf(c_0_256,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk21_2(esk13_0,X1),esk12_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_250]) ).

cnf(c_0_257,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk18_2(esk13_0,X1),esk12_0)
    | ~ epred1_2(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_251]) ).

cnf(c_0_258,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk20_2(esk13_0,X1),esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_252,c_0_240]) ).

cnf(c_0_259,plain,
    ( epred1_2(X1,X2)
    | ~ order(X1,X2) ),
    i_0_45 ).

cnf(c_0_260,negated_conjecture,
    order(esk11_0,esk12_0),
    i_0_61 ).

cnf(c_0_261,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_121 ).

cnf(c_0_262,plain,
    ( apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,X3,esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,X3,esk21_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(esk22_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_253]) ).

cnf(c_0_263,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk22_2(esk13_0,X1),esk12_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_254]) ).

cnf(c_0_264,plain,
    ( apply(X1,esk19_2(esk13_0,X1),esk18_2(esk13_0,X1))
    | apply(X1,X2,esk21_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk20_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk20_2(esk13_0,X1),esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]) ).

cnf(c_0_265,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk20_2(esk13_0,X1),esk12_0)
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk18_2(esk13_0,X1),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_258]) ).

cnf(c_0_266,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    i_0_139 ).

cnf(c_0_267,negated_conjecture,
    epred1_2(esk11_0,esk12_0),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_268,negated_conjecture,
    ~ order(esk11_0,esk13_0),
    i_0_59 ).

cnf(c_0_269,plain,
    ( order(X1,X2)
    | ~ epred1_2(X1,X2) ),
    i_0_44 ).

cnf(c_0_270,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_120 ).

cnf(c_0_271,plain,
    ( apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,X3,esk21_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,X3,esk20_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk20_2(X2,X1),X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_261]) ).

cnf(c_0_272,plain,
    ( apply(X1,esk19_2(esk13_0,X1),esk18_2(esk13_0,X1))
    | apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk21_2(esk13_0,X1),esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_257]) ).

cnf(c_0_273,negated_conjecture,
    ( apply(X1,esk19_2(esk13_0,X1),esk18_2(esk13_0,X1))
    | apply(X1,X2,esk21_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk20_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_257]) ).

cnf(c_0_274,plain,
    ( apply(esk11_0,X1,X1)
    | ~ member(X1,esk12_0) ),
    inference(spm,[status(thm)],[c_0_266,c_0_267]) ).

cnf(c_0_275,negated_conjecture,
    ~ epred1_2(esk11_0,esk13_0),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_276,plain,
    ( apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,X3,esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | ~ apply(X1,X3,esk21_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(esk22_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_270]) ).

cnf(c_0_277,plain,
    ( apply(X1,esk18_2(esk13_0,X1),esk19_2(esk13_0,X1))
    | apply(X1,X2,esk21_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk20_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk20_2(esk13_0,X1),esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_256]),c_0_257]) ).

cnf(c_0_278,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_96 ).

cnf(c_0_279,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_98 ).

cnf(c_0_280,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_99 ).

cnf(c_0_281,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_102 ).

cnf(c_0_282,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_104 ).

cnf(c_0_283,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_105 ).

cnf(c_0_284,negated_conjecture,
    ( apply(X1,esk19_2(esk13_0,X1),esk18_2(esk13_0,X1))
    | apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_256]),c_0_257]) ).

cnf(c_0_285,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_267])]),c_0_275]) ).

cnf(c_0_286,plain,
    ( apply(X1,esk18_2(esk13_0,X1),esk19_2(esk13_0,X1))
    | apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(esk21_2(esk13_0,X1),esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_263]),c_0_257]) ).

cnf(c_0_287,negated_conjecture,
    ( apply(X1,esk18_2(esk13_0,X1),esk19_2(esk13_0,X1))
    | apply(X1,X2,esk21_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk20_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_265]),c_0_257]) ).

cnf(c_0_288,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | member(esk19_2(X3,X1),X3)
    | ~ apply(X1,esk17_2(X3,X1),esk17_2(X3,X1))
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_278]) ).

cnf(c_0_289,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk22_2(X1,esk11_0),X1)
    | member(esk19_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_274]) ).

cnf(c_0_290,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk21_2(X1,esk11_0),X1)
    | member(esk19_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_280,c_0_274]) ).

cnf(c_0_291,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_100 ).

cnf(c_0_292,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | member(esk18_2(X3,X1),X3)
    | ~ apply(X1,esk17_2(X3,X1),esk17_2(X3,X1))
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_281]) ).

cnf(c_0_293,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk18_2(X1,esk11_0),X1)
    | member(esk22_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_282,c_0_274]) ).

cnf(c_0_294,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk18_2(X1,esk11_0),X1)
    | member(esk21_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_283,c_0_274]) ).

cnf(c_0_295,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_106 ).

cnf(c_0_296,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_113 ).

cnf(c_0_297,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk22_2(esk13_0,esk11_0))
    | apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_267])]),c_0_275]) ).

cnf(c_0_298,negated_conjecture,
    ( apply(X1,esk18_2(esk13_0,X1),esk19_2(esk13_0,X1))
    | apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_256]),c_0_257]) ).

cnf(c_0_299,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_274]),c_0_267])]),c_0_275]) ).

cnf(c_0_300,plain,
    ( apply(esk11_0,X1,esk22_2(X2,esk11_0))
    | epred1_2(esk11_0,X2)
    | member(esk19_2(X2,esk11_0),X2)
    | ~ apply(esk11_0,X1,esk21_2(X2,esk11_0))
    | ~ epred1_2(esk11_0,X3)
    | ~ member(esk17_2(X2,esk11_0),esk12_0)
    | ~ member(esk21_2(X2,esk11_0),X3)
    | ~ member(esk22_2(X2,esk11_0),X3)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_288,c_0_274]) ).

cnf(c_0_301,negated_conjecture,
    ( member(esk19_2(esk13_0,esk11_0),esk13_0)
    | member(esk22_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_289]),c_0_275]) ).

cnf(c_0_302,negated_conjecture,
    ( member(esk19_2(esk13_0,esk11_0),esk13_0)
    | member(esk21_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_290]),c_0_275]) ).

cnf(c_0_303,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk20_2(X1,esk11_0),X1)
    | member(esk19_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_291,c_0_274]) ).

cnf(c_0_304,plain,
    ( apply(esk11_0,X1,esk22_2(X2,esk11_0))
    | epred1_2(esk11_0,X2)
    | member(esk18_2(X2,esk11_0),X2)
    | ~ apply(esk11_0,X1,esk21_2(X2,esk11_0))
    | ~ epred1_2(esk11_0,X3)
    | ~ member(esk17_2(X2,esk11_0),esk12_0)
    | ~ member(esk21_2(X2,esk11_0),X3)
    | ~ member(esk22_2(X2,esk11_0),X3)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_292,c_0_274]) ).

cnf(c_0_305,negated_conjecture,
    ( member(esk18_2(esk13_0,esk11_0),esk13_0)
    | member(esk22_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_293]),c_0_275]) ).

cnf(c_0_306,negated_conjecture,
    ( member(esk18_2(esk13_0,esk11_0),esk13_0)
    | member(esk21_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_294]),c_0_275]) ).

cnf(c_0_307,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk18_2(X1,esk11_0),X1)
    | member(esk20_2(X1,esk11_0),X1)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_274]) ).

cnf(c_0_308,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_275]) ).

cnf(c_0_309,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_119 ).

cnf(c_0_310,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk22_2(esk13_0,esk11_0))
    | apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_267])]),c_0_275]) ).

cnf(c_0_311,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_95 ).

cnf(c_0_312,negated_conjecture,
    ( apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | member(esk19_2(esk13_0,esk11_0),esk13_0)
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_301]),c_0_267])]),c_0_275]),c_0_302]) ).

cnf(c_0_313,negated_conjecture,
    ( member(esk19_2(esk13_0,esk11_0),esk13_0)
    | member(esk20_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_303]),c_0_275]) ).

cnf(c_0_314,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_101 ).

cnf(c_0_315,negated_conjecture,
    ( apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | member(esk18_2(esk13_0,esk11_0),esk13_0)
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_305]),c_0_267])]),c_0_275]),c_0_306]) ).

cnf(c_0_316,negated_conjecture,
    ( member(esk18_2(esk13_0,esk11_0),esk13_0)
    | member(esk20_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_307]),c_0_275]) ).

cnf(c_0_317,plain,
    ( esk19_2(esk13_0,esk11_0) = esk18_2(esk13_0,esk11_0)
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | ~ epred1_2(esk11_0,X1)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk19_2(esk13_0,esk11_0),X1)
    | ~ member(esk18_2(esk13_0,esk11_0),X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_308]) ).

cnf(c_0_318,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_310]),c_0_275]) ).

cnf(c_0_319,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_93 ).

cnf(c_0_320,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_87 ).

cnf(c_0_321,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_81 ).

cnf(c_0_322,plain,
    ( member(esk19_2(esk13_0,esk11_0),esk13_0)
    | ~ apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_312]),c_0_275]),c_0_313]),c_0_274]) ).

cnf(c_0_323,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_97 ).

cnf(c_0_324,plain,
    ( member(esk18_2(esk13_0,esk11_0),esk13_0)
    | ~ apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_275]),c_0_316]),c_0_274]) ).

cnf(c_0_325,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_103 ).

cnf(c_0_326,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_94 ).

cnf(c_0_327,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_88 ).

cnf(c_0_328,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_82 ).

cnf(c_0_329,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    i_0_108 ).

cnf(c_0_330,plain,
    ( esk19_2(esk13_0,esk11_0) = esk18_2(esk13_0,esk11_0)
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ epred1_2(esk11_0,X1)
    | ~ member(esk20_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk19_2(esk13_0,esk11_0),X1)
    | ~ member(esk18_2(esk13_0,esk11_0),X1) ),
    inference(spm,[status(thm)],[c_0_317,c_0_318]) ).

cnf(c_0_331,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_92 ).

cnf(c_0_332,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_86 ).

cnf(c_0_333,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_80 ).

cnf(c_0_334,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | ~ member(esk18_2(X2,X1),X3)
    | ~ member(esk19_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_319]),c_0_320]),c_0_321]) ).

cnf(c_0_335,plain,
    ( member(esk19_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_275]),c_0_274]) ).

cnf(c_0_336,plain,
    ( member(esk18_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_325]),c_0_275]),c_0_274]) ).

cnf(c_0_337,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | ~ member(esk18_2(X2,X1),X3)
    | ~ member(esk19_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_326]),c_0_327]),c_0_328]) ).

cnf(c_0_338,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | member(esk17_2(X3,X1),X3)
    | esk19_2(X3,X1) != esk18_2(X3,X1)
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_329]) ).

cnf(c_0_339,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk22_2(esk13_0,X1),esk12_0)
    | esk19_2(esk13_0,X1) != esk18_2(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_213,c_0_238]) ).

cnf(c_0_340,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk21_2(esk13_0,X1),esk12_0)
    | esk19_2(esk13_0,X1) != esk18_2(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_213,c_0_230]) ).

cnf(c_0_341,negated_conjecture,
    ( esk19_2(esk13_0,esk11_0) = esk18_2(esk13_0,esk11_0)
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ epred1_2(esk11_0,X1)
    | ~ member(esk18_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk19_2(esk13_0,esk11_0),X1)
    | ~ member(esk18_2(esk13_0,esk11_0),X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_330,c_0_265]),c_0_267])]),c_0_275]) ).

cnf(c_0_342,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ epred1_2(X1,X3)
    | ~ member(esk18_2(X2,X1),X3)
    | ~ member(esk19_2(X2,X1),X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_331]),c_0_332]),c_0_333]) ).

cnf(c_0_343,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk21_2(X1,esk11_0),X1)
    | ~ epred1_2(esk11_0,X2)
    | ~ member(esk17_2(X1,esk11_0),esk12_0)
    | ~ member(esk18_2(X1,esk11_0),X2)
    | ~ member(esk19_2(X1,esk11_0),X2) ),
    inference(spm,[status(thm)],[c_0_334,c_0_274]) ).

cnf(c_0_344,negated_conjecture,
    ( member(esk19_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_335]) ).

cnf(c_0_345,negated_conjecture,
    ( member(esk18_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_336]) ).

cnf(c_0_346,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk20_2(X1,esk11_0),X1)
    | ~ epred1_2(esk11_0,X2)
    | ~ member(esk17_2(X1,esk11_0),esk12_0)
    | ~ member(esk18_2(X1,esk11_0),X2)
    | ~ member(esk19_2(X1,esk11_0),X2) ),
    inference(spm,[status(thm)],[c_0_337,c_0_274]) ).

cnf(c_0_347,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_107 ).

cnf(c_0_348,negated_conjecture,
    ( apply(X1,X2,esk22_2(esk13_0,X1))
    | epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | esk19_2(esk13_0,X1) != esk18_2(esk13_0,X1)
    | ~ apply(X1,X2,esk21_2(esk13_0,X1))
    | ~ epred1_2(X1,esk12_0)
    | ~ member(X2,esk12_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_339]),c_0_340]) ).

cnf(c_0_349,negated_conjecture,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | member(esk20_2(esk13_0,X1),esk12_0)
    | esk19_2(esk13_0,X1) != esk18_2(esk13_0,X1) ),
    inference(spm,[status(thm)],[c_0_213,c_0_247]) ).

cnf(c_0_350,plain,
    ( epred1_2(X1,X2)
    | member(esk17_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1) ),
    i_0_109 ).

cnf(c_0_351,negated_conjecture,
    ( esk19_2(esk13_0,esk11_0) = esk18_2(esk13_0,esk11_0)
    | member(esk17_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk18_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_240]),c_0_267])]),c_0_275]) ).

cnf(c_0_352,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk22_2(X1,esk11_0),X1)
    | ~ epred1_2(esk11_0,X2)
    | ~ member(esk17_2(X1,esk11_0),esk12_0)
    | ~ member(esk18_2(X1,esk11_0),X2)
    | ~ member(esk19_2(X1,esk11_0),X2) ),
    inference(spm,[status(thm)],[c_0_342,c_0_274]) ).

cnf(c_0_353,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_85 ).

cnf(c_0_354,plain,
    ( member(esk21_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_344]),c_0_267])]),c_0_275]),c_0_345]) ).

cnf(c_0_355,plain,
    ( member(esk20_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_344]),c_0_267])]),c_0_275]),c_0_345]) ).

cnf(c_0_356,plain,
    ( epred1_2(X1,esk13_0)
    | member(esk17_2(esk13_0,X1),esk13_0)
    | esk19_2(esk13_0,X1) != esk18_2(esk13_0,X1)
    | ~ epred1_2(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_349]),c_0_350]) ).

cnf(c_0_357,negated_conjecture,
    ( esk19_2(esk13_0,esk11_0) = esk18_2(esk13_0,esk11_0)
    | member(esk17_2(esk13_0,esk11_0),esk13_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_257]),c_0_267])]),c_0_275]) ).

cnf(c_0_358,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_78 ).

cnf(c_0_359,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_91 ).

cnf(c_0_360,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_84 ).

cnf(c_0_361,plain,
    ( member(esk22_2(esk13_0,esk11_0),esk13_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_344]),c_0_267])]),c_0_275]),c_0_345]) ).

cnf(c_0_362,plain,
    ( apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,X3,esk21_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,X3,esk20_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk20_2(X2,X1),X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_353]) ).

cnf(c_0_363,negated_conjecture,
    ( member(esk21_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_354]) ).

cnf(c_0_364,negated_conjecture,
    ( member(esk20_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_355]) ).

cnf(c_0_365,plain,
    member(esk17_2(esk13_0,esk11_0),esk13_0),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_267])]),c_0_275]) ).

cnf(c_0_366,plain,
    ( apply(X1,X2,esk22_2(X3,X1))
    | epred1_2(X1,X3)
    | esk19_2(X3,X1) != esk18_2(X3,X1)
    | ~ apply(X1,esk17_2(X3,X1),esk17_2(X3,X1))
    | ~ apply(X1,X2,esk21_2(X3,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X3,X1),X4)
    | ~ member(esk22_2(X3,X1),X4)
    | ~ member(X2,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_358]) ).

cnf(c_0_367,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk22_2(X1,esk11_0),X1)
    | esk19_2(X1,esk11_0) != esk18_2(X1,esk11_0)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_333,c_0_274]) ).

cnf(c_0_368,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk21_2(X1,esk11_0),X1)
    | esk19_2(X1,esk11_0) != esk18_2(X1,esk11_0)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_321,c_0_274]) ).

cnf(c_0_369,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_90 ).

cnf(c_0_370,plain,
    ( apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,X3,esk21_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,X3,esk20_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk20_2(X2,X1),X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_359]) ).

cnf(c_0_371,plain,
    ( apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | apply(X1,X3,esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,X3,esk21_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(esk22_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_360]) ).

cnf(c_0_372,negated_conjecture,
    ( member(esk22_2(esk13_0,esk11_0),esk12_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_361]) ).

cnf(c_0_373,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk20_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_363]),c_0_267])]),c_0_275]),c_0_364]),c_0_274]) ).

cnf(c_0_374,negated_conjecture,
    member(esk17_2(esk13_0,esk11_0),esk12_0),
    inference(spm,[status(thm)],[c_0_213,c_0_365]) ).

cnf(c_0_375,plain,
    ( apply(esk11_0,X1,esk22_2(X2,esk11_0))
    | epred1_2(esk11_0,X2)
    | esk19_2(X2,esk11_0) != esk18_2(X2,esk11_0)
    | ~ apply(esk11_0,X1,esk21_2(X2,esk11_0))
    | ~ epred1_2(esk11_0,X3)
    | ~ member(esk17_2(X2,esk11_0),esk12_0)
    | ~ member(esk21_2(X2,esk11_0),X3)
    | ~ member(esk22_2(X2,esk11_0),X3)
    | ~ member(X1,X3) ),
    inference(spm,[status(thm)],[c_0_366,c_0_274]) ).

cnf(c_0_376,negated_conjecture,
    ( member(esk22_2(esk13_0,esk11_0),esk12_0)
    | esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_367]),c_0_275]) ).

cnf(c_0_377,negated_conjecture,
    ( member(esk21_2(esk13_0,esk11_0),esk12_0)
    | esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_368]),c_0_275]) ).

cnf(c_0_378,plain,
    ( epred1_2(esk11_0,X1)
    | member(esk20_2(X1,esk11_0),X1)
    | esk19_2(X1,esk11_0) != esk18_2(X1,esk11_0)
    | ~ member(esk17_2(X1,esk11_0),esk12_0) ),
    inference(spm,[status(thm)],[c_0_328,c_0_274]) ).

cnf(c_0_379,plain,
    ( apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | apply(X1,X3,esk22_2(X2,X1))
    | epred1_2(X1,X2)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,X3,esk21_2(X2,X1))
    | ~ epred1_2(X1,X4)
    | ~ member(esk21_2(X2,X1),X4)
    | ~ member(esk22_2(X2,X1),X4)
    | ~ member(X3,X4) ),
    inference(spm,[status(thm)],[c_0_211,c_0_369]) ).

cnf(c_0_380,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk20_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_363]),c_0_267])]),c_0_275]),c_0_364]),c_0_274]) ).

cnf(c_0_381,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_267])]),c_0_275]),c_0_363]),c_0_274]) ).

cnf(c_0_382,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk20_2(esk13_0,esk11_0))
    | ~ member(X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_373,c_0_374])]) ).

cnf(c_0_383,negated_conjecture,
    member(esk20_2(esk13_0,esk11_0),esk12_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_374])]) ).

cnf(c_0_384,plain,
    ( epred1_2(X1,X2)
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_77 ).

cnf(c_0_385,negated_conjecture,
    ( apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_267])]),c_0_275]),c_0_377]) ).

cnf(c_0_386,negated_conjecture,
    ( member(esk20_2(esk13_0,esk11_0),esk12_0)
    | esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_378]),c_0_275]) ).

cnf(c_0_387,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0)
    | ~ member(X1,esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_372]),c_0_267])]),c_0_275]),c_0_363]),c_0_274]) ).

cnf(c_0_388,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk20_2(esk13_0,esk11_0))
    | ~ member(X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_380,c_0_374])]) ).

cnf(c_0_389,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_374])]) ).

cnf(c_0_390,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_274]),c_0_383])]) ).

cnf(c_0_391,plain,
    ( esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_275]),c_0_386]),c_0_274]) ).

cnf(c_0_392,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | esk19_2(X2,X1) != esk18_2(X2,X1)
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1)) ),
    i_0_79 ).

cnf(c_0_393,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | apply(esk11_0,X1,esk22_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,X1,esk21_2(esk13_0,esk11_0))
    | ~ member(X1,esk12_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_387,c_0_374])]) ).

cnf(c_0_394,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk21_2(esk13_0,esk11_0))
    | apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_274]),c_0_383])]) ).

cnf(c_0_395,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_83 ).

cnf(c_0_396,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk22_2(esk13_0,esk11_0))
    | apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_383])]) ).

cnf(c_0_397,plain,
    ( esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0)
    | ~ member(esk17_2(esk13_0,esk11_0),esk12_0) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_392]),c_0_275]),c_0_274]) ).

cnf(c_0_398,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk18_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk17_2(X2,X1),esk17_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_89 ).

cnf(c_0_399,plain,
    ( apply(esk11_0,esk20_2(esk13_0,esk11_0),esk22_2(esk13_0,esk11_0))
    | apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_393,c_0_394]),c_0_383])]) ).

cnf(c_0_400,plain,
    ( apply(esk11_0,esk19_2(esk13_0,esk11_0),esk18_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,esk17_2(esk13_0,esk11_0),esk17_2(esk13_0,esk11_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_396]),c_0_275]) ).

cnf(c_0_401,plain,
    esk19_2(esk13_0,esk11_0) != esk18_2(esk13_0,esk11_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_374])]) ).

cnf(c_0_402,plain,
    ( apply(esk11_0,esk18_2(esk13_0,esk11_0),esk19_2(esk13_0,esk11_0))
    | ~ apply(esk11_0,esk17_2(esk13_0,esk11_0),esk17_2(esk13_0,esk11_0)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_398,c_0_399]),c_0_275]) ).

cnf(c_0_403,plain,
    ( ~ apply(esk11_0,esk17_2(esk13_0,esk11_0),esk17_2(esk13_0,esk11_0))
    | ~ epred1_2(esk11_0,X1)
    | ~ member(esk19_2(esk13_0,esk11_0),X1)
    | ~ member(esk18_2(esk13_0,esk11_0),X1) ),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_400]),c_0_401]),c_0_402]) ).

cnf(c_0_404,plain,
    ( ~ epred1_2(esk11_0,X1)
    | ~ member(esk19_2(esk13_0,esk11_0),X1)
    | ~ member(esk18_2(esk13_0,esk11_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_274]),c_0_374])]) ).

cnf(c_0_405,negated_conjecture,
    member(esk19_2(esk13_0,esk11_0),esk12_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_344,c_0_374])]) ).

cnf(c_0_406,negated_conjecture,
    member(esk18_2(esk13_0,esk11_0),esk12_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_345,c_0_374])]) ).

cnf(c_0_407,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_404,c_0_405]),c_0_267]),c_0_406])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET805+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n025.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  9 23:47:02 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 148.04/20.26  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 148.04/20.26  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 24; version: 991; iters: 150)
% 148.04/20.26  # Preprocessing time       : 1.185 s
% 148.04/20.26  
% 148.04/20.26  # Proof found!
% 148.04/20.26  # SZS status Theorem
% 148.04/20.26  # SZS output start CNFRefutation
% See solution above
% 148.04/20.26  # Training examples: 0 positive, 0 negative
% 148.04/20.26  
% 148.04/20.26  # -------------------------------------------------
% 148.04/20.26  # User time                : 17.053 s
% 148.04/20.26  # System time              : 0.289 s
% 148.04/20.26  # Total time               : 17.342 s
% 148.04/20.26  # ...preprocessing         : 1.185 s
% 148.04/20.26  # ...main loop             : 16.157 s
% 148.04/20.26  # Maximum resident set size: 177728 pages
% 148.04/20.26  
%------------------------------------------------------------------------------