TSTP Solution File: SET773+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 00:13:59 EDT 2022

% Result   : Theorem 260.38s 34.26s
% Output   : CNFRefutation 260.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   59
% Syntax   : Number of clauses     :  277 (  14 unt; 242 nHn; 247 RR)
%            Number of literals    : 1108 (   0 equ; 330 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  302 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_73,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk18_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_73) ).

cnf(i_0_113,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_113) ).

cnf(i_0_72,negated_conjecture,
    ( apply(esk17_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk18_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_72) ).

cnf(i_0_125,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_125) ).

cnf(i_0_119,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_119) ).

cnf(i_0_115,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_115) ).

cnf(i_0_116,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_116) ).

cnf(i_0_114,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_114) ).

cnf(i_0_127,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_127) ).

cnf(i_0_128,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_128) ).

cnf(i_0_126,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_126) ).

cnf(i_0_121,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_121) ).

cnf(i_0_122,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_122) ).

cnf(i_0_120,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_120) ).

cnf(i_0_130,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/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_130) ).

cnf(i_0_117,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_117) ).

cnf(i_0_129,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_129) ).

cnf(i_0_123,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_123) ).

cnf(i_0_12,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_12) ).

cnf(i_0_75,negated_conjecture,
    equivalence(esk16_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_75) ).

cnf(i_0_74,negated_conjecture,
    equivalence(esk17_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_74) ).

cnf(i_0_71,negated_conjecture,
    ( apply(esk18_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk16_0,X1,X2)
    | ~ apply(esk17_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_71) ).

cnf(i_0_112,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_112) ).

cnf(i_0_124,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_124) ).

cnf(i_0_118,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_118) ).

cnf(i_0_131,plain,
    ( apply(X1,X2,X3)
    | ~ member(X2,X4)
    | ~ member(X3,X4)
    | ~ epred1_2(X1,X4)
    | ~ apply(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_131) ).

cnf(i_0_107,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_107) ).

cnf(i_0_110,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_110) ).

cnf(i_0_109,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_109) ).

cnf(i_0_108,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_108) ).

cnf(i_0_111,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_111) ).

cnf(i_0_106,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_106) ).

cnf(i_0_132,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_132) ).

cnf(i_0_11,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_11) ).

cnf(i_0_70,negated_conjecture,
    ~ equivalence(esk18_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_70) ).

cnf(i_0_89,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_89) ).

cnf(i_0_92,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_92) ).

cnf(i_0_91,plain,
    ( epred1_2(X1,X2)
    | member(esk24_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_91) ).

cnf(i_0_101,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_101) ).

cnf(i_0_104,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_104) ).

cnf(i_0_103,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_103) ).

cnf(i_0_95,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_95) ).

cnf(i_0_98,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_98) ).

cnf(i_0_97,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_97) ).

cnf(i_0_90,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_90) ).

cnf(i_0_93,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_93) ).

cnf(i_0_102,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_102) ).

cnf(i_0_105,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_105) ).

cnf(i_0_96,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_96) ).

cnf(i_0_99,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_99) ).

cnf(i_0_88,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_88) ).

cnf(i_0_100,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_100) ).

cnf(i_0_94,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_94) ).

cnf(i_0_83,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_83) ).

cnf(i_0_86,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_86) ).

cnf(i_0_85,plain,
    ( epred1_2(X1,X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_85) ).

cnf(i_0_84,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_84) ).

cnf(i_0_87,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_87) ).

cnf(i_0_82,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lz2h13hg/input.p',i_0_82) ).

cnf(c_0_192,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk18_0,X1,X2) ),
    i_0_73 ).

cnf(c_0_193,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_113 ).

cnf(c_0_194,negated_conjecture,
    ( apply(esk17_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk18_0,X1,X2) ),
    i_0_72 ).

cnf(c_0_195,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_125 ).

cnf(c_0_196,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_119 ).

cnf(c_0_197,negated_conjecture,
    ( apply(esk18_0,esk20_2(X1,esk18_0),esk21_2(X1,esk18_0))
    | apply(esk16_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_198,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_115 ).

cnf(c_0_199,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_116 ).

cnf(c_0_200,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_114 ).

cnf(c_0_201,negated_conjecture,
    ( apply(esk18_0,esk20_2(X1,esk18_0),esk21_2(X1,esk18_0))
    | apply(esk17_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_193]) ).

cnf(c_0_202,negated_conjecture,
    ( apply(esk16_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk20_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_195]) ).

cnf(c_0_203,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2) ),
    i_0_127 ).

cnf(c_0_204,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    i_0_128 ).

cnf(c_0_205,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_126 ).

cnf(c_0_206,negated_conjecture,
    ( apply(esk17_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk20_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_207,negated_conjecture,
    ( apply(esk16_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk21_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_196]) ).

cnf(c_0_208,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2) ),
    i_0_121 ).

cnf(c_0_209,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    i_0_122 ).

cnf(c_0_210,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_120 ).

cnf(c_0_211,negated_conjecture,
    ( apply(esk17_0,esk23_2(X1,esk18_0),esk24_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk21_2(X1,esk18_0),X1)
    | ~ member(esk24_2(X1,esk18_0),esk15_0)
    | ~ member(esk23_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_196]) ).

cnf(c_0_212,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_130 ).

cnf(c_0_213,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_198]),c_0_199]) ).

cnf(c_0_214,negated_conjecture,
    ( apply(esk18_0,esk20_2(X1,esk18_0),esk21_2(X1,esk18_0))
    | apply(esk16_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_200]) ).

cnf(c_0_215,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1)) ),
    i_0_117 ).

cnf(c_0_216,plain,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_198]),c_0_199]) ).

cnf(c_0_217,negated_conjecture,
    ( apply(esk18_0,esk20_2(X1,esk18_0),esk21_2(X1,esk18_0))
    | apply(esk17_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_200]) ).

cnf(c_0_218,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_204]) ).

cnf(c_0_219,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk20_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_205]) ).

cnf(c_0_220,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_129 ).

cnf(c_0_221,plain,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_203]),c_0_204]) ).

cnf(c_0_222,negated_conjecture,
    ( apply(esk17_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk20_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_205]) ).

cnf(c_0_223,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).

cnf(c_0_224,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk21_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_210]) ).

cnf(c_0_225,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_123 ).

cnf(c_0_226,plain,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_208]),c_0_209]) ).

cnf(c_0_227,negated_conjecture,
    ( apply(esk17_0,esk22_2(X1,esk18_0),esk23_2(X1,esk18_0))
    | epred1_2(esk18_0,X1)
    | member(esk19_2(X1,esk18_0),X1)
    | member(esk21_2(X1,esk18_0),X1)
    | ~ member(esk23_2(X1,esk18_0),esk15_0)
    | ~ member(esk22_2(X1,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_194,c_0_210]) ).

cnf(c_0_228,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_229,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_199]),c_0_215]) ).

cnf(c_0_230,plain,
    ( epred1_2(X1,X2)
    | ~ equivalence(X1,X2) ),
    i_0_12 ).

cnf(c_0_231,negated_conjecture,
    equivalence(esk16_0,esk15_0),
    i_0_75 ).

cnf(c_0_232,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_216]) ).

cnf(c_0_233,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_199]),c_0_215]) ).

cnf(c_0_234,negated_conjecture,
    equivalence(esk17_0,esk15_0),
    i_0_74 ).

cnf(c_0_235,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_218]) ).

cnf(c_0_236,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_204]),c_0_220]) ).

cnf(c_0_237,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_221]) ).

cnf(c_0_238,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_204]),c_0_220]) ).

cnf(c_0_239,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_223]) ).

cnf(c_0_240,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_209]),c_0_225]) ).

cnf(c_0_241,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_226]) ).

cnf(c_0_242,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_209]),c_0_225]) ).

cnf(c_0_243,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_244,negated_conjecture,
    epred1_2(esk16_0,esk15_0),
    inference(spm,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_245,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_246,negated_conjecture,
    epred1_2(esk17_0,esk15_0),
    inference(spm,[status(thm)],[c_0_230,c_0_234]) ).

cnf(c_0_247,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_248,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_249,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_239,c_0_240]) ).

cnf(c_0_250,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_251,negated_conjecture,
    ( apply(esk18_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk16_0,X1,X2)
    | ~ apply(esk17_0,X1,X2) ),
    i_0_71 ).

cnf(c_0_252,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_199]),c_0_244])]),c_0_215]),c_0_198]) ).

cnf(c_0_253,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_199]),c_0_246])]),c_0_215]),c_0_198]) ).

cnf(c_0_254,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_112 ).

cnf(c_0_255,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_204]),c_0_244])]),c_0_220]),c_0_203]) ).

cnf(c_0_256,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_204]),c_0_246])]),c_0_220]),c_0_203]) ).

cnf(c_0_257,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_124 ).

cnf(c_0_258,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_209]),c_0_244])]),c_0_225]),c_0_208]) ).

cnf(c_0_259,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_209]),c_0_246])]),c_0_225]),c_0_208]) ).

cnf(c_0_260,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_118 ).

cnf(c_0_261,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_215]),c_0_198]),c_0_253]),c_0_254]) ).

cnf(c_0_262,negated_conjecture,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_255]),c_0_220]),c_0_203]),c_0_256]),c_0_257]) ).

cnf(c_0_263,negated_conjecture,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_258]),c_0_225]),c_0_208]),c_0_259]),c_0_260]) ).

cnf(c_0_264,plain,
    ( apply(X1,X2,X3)
    | ~ member(X2,X4)
    | ~ member(X3,X4)
    | ~ epred1_2(X1,X4)
    | ~ apply(X1,X3,X2) ),
    i_0_131 ).

cnf(c_0_265,negated_conjecture,
    ( apply(esk16_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_261]),c_0_262]),c_0_263]) ).

cnf(c_0_266,negated_conjecture,
    ( apply(esk17_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_261]),c_0_262]),c_0_263]) ).

cnf(c_0_267,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk20_2(esk15_0,esk18_0),X1)
    | ~ member(esk21_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_268,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk20_2(esk15_0,esk18_0),X1)
    | ~ member(esk21_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_266]) ).

cnf(c_0_269,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_262]),c_0_244])]),c_0_263]) ).

cnf(c_0_270,negated_conjecture,
    ( apply(esk17_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_262]),c_0_246])]),c_0_263]) ).

cnf(c_0_271,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_107 ).

cnf(c_0_272,negated_conjecture,
    ( apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_269]),c_0_263]),c_0_262]),c_0_270]) ).

cnf(c_0_273,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_110 ).

cnf(c_0_274,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_109 ).

cnf(c_0_275,plain,
    ( apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_276,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_273,c_0_272]) ).

cnf(c_0_277,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_274,c_0_272]) ).

cnf(c_0_278,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_108 ).

cnf(c_0_279,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_111 ).

cnf(c_0_280,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_275]),c_0_276]),c_0_277]) ).

cnf(c_0_281,plain,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_278,c_0_272]) ).

cnf(c_0_282,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_279,c_0_272]) ).

cnf(c_0_283,negated_conjecture,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_275]),c_0_276]),c_0_277]) ).

cnf(c_0_284,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_280]) ).

cnf(c_0_285,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_281]),c_0_282]),c_0_276]) ).

cnf(c_0_286,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_283]) ).

cnf(c_0_287,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_281]),c_0_282]),c_0_276]) ).

cnf(c_0_288,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_284,c_0_285]) ).

cnf(c_0_289,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_286,c_0_287]) ).

cnf(c_0_290,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_276]),c_0_244])]),c_0_282]),c_0_277]) ).

cnf(c_0_291,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_276]),c_0_246])]),c_0_282]),c_0_277]) ).

cnf(c_0_292,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_106 ).

cnf(c_0_293,negated_conjecture,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_290]),c_0_282]),c_0_277]),c_0_291]) ).

cnf(c_0_294,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ epred1_2(X1,X3) ),
    i_0_132 ).

cnf(c_0_295,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    i_0_11 ).

cnf(c_0_296,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk19_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_272]) ).

cnf(c_0_297,negated_conjecture,
    ~ equivalence(esk18_0,esk15_0),
    i_0_70 ).

cnf(c_0_298,plain,
    ( apply(esk16_0,X1,X1)
    | ~ member(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_244]) ).

cnf(c_0_299,plain,
    member(esk19_2(esk15_0,esk18_0),esk15_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297]) ).

cnf(c_0_300,plain,
    ( apply(esk17_0,X1,X1)
    | ~ member(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_246]) ).

cnf(c_0_301,plain,
    apply(esk16_0,esk19_2(esk15_0,esk18_0),esk19_2(esk15_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_298,c_0_299]) ).

cnf(c_0_302,plain,
    apply(esk17_0,esk19_2(esk15_0,esk18_0),esk19_2(esk15_0,esk18_0)),
    inference(spm,[status(thm)],[c_0_300,c_0_299]) ).

cnf(c_0_303,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_89 ).

cnf(c_0_304,negated_conjecture,
    apply(esk18_0,esk19_2(esk15_0,esk18_0),esk19_2(esk15_0,esk18_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_301]),c_0_302]),c_0_299])]) ).

cnf(c_0_305,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_92 ).

cnf(c_0_306,plain,
    ( epred1_2(X1,X2)
    | member(esk24_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_91 ).

cnf(c_0_307,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_101 ).

cnf(c_0_308,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_104 ).

cnf(c_0_309,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_103 ).

cnf(c_0_310,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_95 ).

cnf(c_0_311,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_98 ).

cnf(c_0_312,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_97 ).

cnf(c_0_313,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_303,c_0_304]) ).

cnf(c_0_314,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_304]) ).

cnf(c_0_315,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_306,c_0_304]) ).

cnf(c_0_316,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_90 ).

cnf(c_0_317,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_93 ).

cnf(c_0_318,plain,
    ( apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_307,c_0_304]) ).

cnf(c_0_319,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_308,c_0_304]) ).

cnf(c_0_320,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_309,c_0_304]) ).

cnf(c_0_321,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_102 ).

cnf(c_0_322,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_105 ).

cnf(c_0_323,plain,
    ( apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_310,c_0_304]) ).

cnf(c_0_324,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_311,c_0_304]) ).

cnf(c_0_325,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_312,c_0_304]) ).

cnf(c_0_326,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_96 ).

cnf(c_0_327,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_99 ).

cnf(c_0_328,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_313]),c_0_314]),c_0_315]) ).

cnf(c_0_329,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_316,c_0_304]) ).

cnf(c_0_330,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_317,c_0_304]) ).

cnf(c_0_331,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_313]),c_0_314]),c_0_315]) ).

cnf(c_0_332,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_318]),c_0_319]),c_0_320]) ).

cnf(c_0_333,plain,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_321,c_0_304]) ).

cnf(c_0_334,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_322,c_0_304]) ).

cnf(c_0_335,negated_conjecture,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_318]),c_0_319]),c_0_320]) ).

cnf(c_0_336,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_323]),c_0_324]),c_0_325]) ).

cnf(c_0_337,plain,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_326,c_0_304]) ).

cnf(c_0_338,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_327,c_0_304]) ).

cnf(c_0_339,negated_conjecture,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_323]),c_0_324]),c_0_325]) ).

cnf(c_0_340,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_328]) ).

cnf(c_0_341,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_329]),c_0_330]),c_0_314]) ).

cnf(c_0_342,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_331]) ).

cnf(c_0_343,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_329]),c_0_330]),c_0_314]) ).

cnf(c_0_344,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_332]) ).

cnf(c_0_345,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_333]),c_0_334]),c_0_319]) ).

cnf(c_0_346,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_335]) ).

cnf(c_0_347,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_333]),c_0_334]),c_0_319]) ).

cnf(c_0_348,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_336]) ).

cnf(c_0_349,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_337]),c_0_338]),c_0_324]) ).

cnf(c_0_350,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_339]) ).

cnf(c_0_351,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_337]),c_0_338]),c_0_324]) ).

cnf(c_0_352,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_340,c_0_341]) ).

cnf(c_0_353,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_342,c_0_343]) ).

cnf(c_0_354,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk20_2(X2,X1),esk21_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_88 ).

cnf(c_0_355,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_344,c_0_345]) ).

cnf(c_0_356,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_346,c_0_347]) ).

cnf(c_0_357,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_100 ).

cnf(c_0_358,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_348,c_0_349]) ).

cnf(c_0_359,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_350,c_0_351]) ).

cnf(c_0_360,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_94 ).

cnf(c_0_361,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_314]),c_0_244])]),c_0_330]),c_0_315]) ).

cnf(c_0_362,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_314]),c_0_246])]),c_0_330]),c_0_315]) ).

cnf(c_0_363,plain,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_354,c_0_304]) ).

cnf(c_0_364,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_319]),c_0_244])]),c_0_334]),c_0_320]) ).

cnf(c_0_365,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_319]),c_0_246])]),c_0_334]),c_0_320]) ).

cnf(c_0_366,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_357,c_0_304]) ).

cnf(c_0_367,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_324]),c_0_244])]),c_0_338]),c_0_325]) ).

cnf(c_0_368,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_324]),c_0_246])]),c_0_338]),c_0_325]) ).

cnf(c_0_369,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_360,c_0_304]) ).

cnf(c_0_370,negated_conjecture,
    ( apply(esk18_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_361]),c_0_330]),c_0_315]),c_0_362]),c_0_363]) ).

cnf(c_0_371,negated_conjecture,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk20_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_364]),c_0_334]),c_0_320]),c_0_365]),c_0_366]) ).

cnf(c_0_372,negated_conjecture,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk21_2(esk15_0,esk18_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_367]),c_0_338]),c_0_325]),c_0_368]),c_0_369]) ).

cnf(c_0_373,negated_conjecture,
    ( apply(esk16_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_370]),c_0_371]),c_0_372]) ).

cnf(c_0_374,negated_conjecture,
    ( apply(esk17_0,esk20_2(esk15_0,esk18_0),esk21_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_370]),c_0_371]),c_0_372]) ).

cnf(c_0_375,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk20_2(esk15_0,esk18_0),X1)
    | ~ member(esk21_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_373]) ).

cnf(c_0_376,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk20_2(esk15_0,esk18_0),X1)
    | ~ member(esk21_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_374]) ).

cnf(c_0_377,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk23_2(X2,X1),esk24_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_83 ).

cnf(c_0_378,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_371]),c_0_244])]),c_0_372]) ).

cnf(c_0_379,negated_conjecture,
    ( apply(esk17_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_371]),c_0_246])]),c_0_372]) ).

cnf(c_0_380,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_86 ).

cnf(c_0_381,plain,
    ( epred1_2(X1,X2)
    | member(esk24_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_85 ).

cnf(c_0_382,plain,
    ( apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_377,c_0_304]) ).

cnf(c_0_383,negated_conjecture,
    ( apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_378]),c_0_372]),c_0_371]),c_0_379]) ).

cnf(c_0_384,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_380,c_0_304]) ).

cnf(c_0_385,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_381,c_0_304]) ).

cnf(c_0_386,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_84 ).

cnf(c_0_387,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_87 ).

cnf(c_0_388,plain,
    ( apply(esk18_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_382,c_0_383]) ).

cnf(c_0_389,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk23_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_384,c_0_383]) ).

cnf(c_0_390,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk24_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_385,c_0_383]) ).

cnf(c_0_391,plain,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_386,c_0_304]) ).

cnf(c_0_392,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0)
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_387,c_0_304]) ).

cnf(c_0_393,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_388]),c_0_389]),c_0_390]) ).

cnf(c_0_394,plain,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_391,c_0_383]) ).

cnf(c_0_395,plain,
    ( epred1_2(esk18_0,esk15_0)
    | member(esk22_2(esk15_0,esk18_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_383]) ).

cnf(c_0_396,negated_conjecture,
    ( apply(esk17_0,esk23_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_388]),c_0_389]),c_0_390]) ).

cnf(c_0_397,plain,
    ( apply(esk16_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk16_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk16_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_393]) ).

cnf(c_0_398,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_394]),c_0_395]),c_0_389]) ).

cnf(c_0_399,plain,
    ( apply(esk17_0,X1,esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ apply(esk17_0,X1,esk23_2(esk15_0,esk18_0))
    | ~ epred1_2(esk17_0,X2)
    | ~ member(esk23_2(esk15_0,esk18_0),X2)
    | ~ member(esk24_2(esk15_0,esk18_0),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_212,c_0_396]) ).

cnf(c_0_400,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk23_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_394]),c_0_395]),c_0_389]) ).

cnf(c_0_401,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk16_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_397,c_0_398]) ).

cnf(c_0_402,negated_conjecture,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0)
    | ~ epred1_2(esk17_0,X1)
    | ~ member(esk23_2(esk15_0,esk18_0),X1)
    | ~ member(esk24_2(esk15_0,esk18_0),X1)
    | ~ member(esk22_2(esk15_0,esk18_0),X1) ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_403,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk19_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk22_2(X2,X1),esk24_2(X2,X1)) ),
    i_0_82 ).

cnf(c_0_404,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_389]),c_0_244])]),c_0_395]),c_0_390]) ).

cnf(c_0_405,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_389]),c_0_246])]),c_0_395]),c_0_390]) ).

cnf(c_0_406,plain,
    ( epred1_2(esk18_0,esk15_0)
    | ~ apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | ~ apply(esk18_0,esk21_2(esk15_0,esk18_0),esk20_2(esk15_0,esk18_0)) ),
    inference(spm,[status(thm)],[c_0_403,c_0_304]) ).

cnf(c_0_407,negated_conjecture,
    ( apply(esk18_0,esk22_2(esk15_0,esk18_0),esk24_2(esk15_0,esk18_0))
    | epred1_2(esk18_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_404]),c_0_395]),c_0_390]),c_0_405]) ).

cnf(c_0_408,plain,
    epred1_2(esk18_0,esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_383]) ).

cnf(c_0_409,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_408]),c_0_297]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET773+4 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 16:38:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 251.04/33.02  eprover: CPU time limit exceeded, terminating
% 251.04/33.07  eprover: CPU time limit exceeded, terminating
% 260.38/34.26  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 260.38/34.26  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 260.38/34.26  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d30-l4800-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 43; version: 991; iters: 150)
% 260.38/34.26  # Preprocessing time       : 0.717 s
% 260.38/34.26  
% 260.38/34.26  # Proof found!
% 260.38/34.26  # SZS status Theorem
% 260.38/34.26  # SZS output start CNFRefutation
% See solution above
% 260.38/34.26  # Training examples: 0 positive, 0 negative
% 260.38/34.26  
% 260.38/34.26  # -------------------------------------------------
% 260.38/34.26  # User time                : 1.238 s
% 260.38/34.26  # System time              : 0.101 s
% 260.38/34.26  # Total time               : 1.339 s
% 260.38/34.26  # ...preprocessing         : 0.717 s
% 260.38/34.26  # ...main loop             : 0.621 s
% 260.38/34.26  # Maximum resident set size: 155552 pages
% 260.38/34.26  
%------------------------------------------------------------------------------