TSTP Solution File: SET775+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 00:14:03 EDT 2022

% Result   : Theorem 256.90s 33.85s
% Output   : CNFRefutation 256.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   56
% Syntax   : Number of clauses     :  259 (   9 unt; 234 nHn; 229 RR)
%            Number of literals    : 1054 (   0 equ; 308 neg)
%            Maximal clause size   :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  285 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_72,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk17_0,X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_72) ).

cnf(i_0_125,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_125) ).

cnf(i_0_128,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_128) ).

cnf(i_0_127,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_127) ).

cnf(i_0_124,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_124) ).

cnf(i_0_113,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_113) ).

cnf(i_0_73,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk17_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_73) ).

cnf(i_0_112,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_112) ).

cnf(i_0_57,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,X4)
    | ~ member(X5,X4)
    | ~ member(X2,X4)
    | ~ pre_order(X1,X4)
    | ~ apply(X1,X5,X3)
    | ~ apply(X1,X2,X5) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_57) ).

cnf(i_0_126,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_126) ).

cnf(i_0_119,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_119) ).

cnf(i_0_118,plain,
    ( epred1_2(X1,X2)
    | member(esk18_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-42ee424c/input.p',i_0_118) ).

cnf(i_0_116,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_116) ).

cnf(i_0_115,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_115) ).

cnf(i_0_114,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_114) ).

cnf(i_0_122,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_122) ).

cnf(i_0_121,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_121) ).

cnf(i_0_120,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_120) ).

cnf(i_0_74,negated_conjecture,
    pre_order(esk16_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_74) ).

cnf(i_0_71,negated_conjecture,
    ( apply(esk17_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk16_0,X2,X1)
    | ~ apply(esk16_0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_71) ).

cnf(i_0_123,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_123) ).

cnf(i_0_111,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_111) ).

cnf(i_0_117,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_117) ).

cnf(i_0_107,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_107) ).

cnf(i_0_109,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_109) ).

cnf(i_0_110,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_110) ).

cnf(i_0_106,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_106) ).

cnf(i_0_108,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_108) ).

cnf(i_0_105,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_105) ).

cnf(i_0_11,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_11) ).

cnf(i_0_70,negated_conjecture,
    ~ equivalence(esk17_0,esk15_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_70) ).

cnf(i_0_58,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ pre_order(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_58) ).

cnf(i_0_89,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_89) ).

cnf(i_0_91,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_91) ).

cnf(i_0_92,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_92) ).

cnf(i_0_88,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_88) ).

cnf(i_0_90,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_90) ).

cnf(i_0_101,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_101) ).

cnf(i_0_103,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_103) ).

cnf(i_0_104,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_104) ).

cnf(i_0_100,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_100) ).

cnf(i_0_102,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_102) ).

cnf(i_0_95,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_95) ).

cnf(i_0_97,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_97) ).

cnf(i_0_98,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_98) ).

cnf(i_0_94,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_94) ).

cnf(i_0_96,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_96) ).

cnf(i_0_87,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_87) ).

cnf(i_0_99,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_99) ).

cnf(i_0_93,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_93) ).

cnf(i_0_83,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_83) ).

cnf(i_0_85,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_85) ).

cnf(i_0_86,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_86) ).

cnf(i_0_82,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_82) ).

cnf(i_0_84,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_84) ).

cnf(i_0_81,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-42ee424c/input.p',i_0_81) ).

cnf(c_0_185,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk17_0,X2,X1) ),
    i_0_72 ).

cnf(c_0_186,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_125 ).

cnf(c_0_187,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk17_0),esk21_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk19_2(X1,esk17_0),X1)
    | ~ member(esk21_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]) ).

cnf(c_0_188,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    i_0_128 ).

cnf(c_0_189,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_127 ).

cnf(c_0_190,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_124 ).

cnf(c_0_191,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_113 ).

cnf(c_0_192,negated_conjecture,
    ( apply(esk16_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk17_0,X1,X2) ),
    i_0_73 ).

cnf(c_0_193,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_112 ).

cnf(c_0_194,plain,
    ( apply(X1,X2,X3)
    | ~ member(X3,X4)
    | ~ member(X5,X4)
    | ~ member(X2,X4)
    | ~ pre_order(X1,X4)
    | ~ apply(X1,X5,X3)
    | ~ apply(X1,X2,X5) ),
    i_0_57 ).

cnf(c_0_195,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189]) ).

cnf(c_0_196,negated_conjecture,
    ( apply(esk16_0,esk23_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk19_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk23_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_190]) ).

cnf(c_0_197,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    i_0_126 ).

cnf(c_0_198,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1)) ),
    i_0_119 ).

cnf(c_0_199,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_118 ).

cnf(c_0_200,negated_conjecture,
    ( apply(esk17_0,esk19_2(X1,esk17_0),esk20_2(X1,esk17_0))
    | apply(esk16_0,esk22_2(X1,esk17_0),esk21_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | ~ member(esk21_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_191]) ).

cnf(c_0_201,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_116 ).

cnf(c_0_202,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_115 ).

cnf(c_0_203,negated_conjecture,
    ( apply(esk17_0,esk19_2(X1,esk17_0),esk20_2(X1,esk17_0))
    | apply(esk16_0,esk22_2(X1,esk17_0),esk23_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | ~ member(esk23_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_193]) ).

cnf(c_0_204,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1)) ),
    i_0_114 ).

cnf(c_0_205,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_195]) ).

cnf(c_0_206,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_189]),c_0_197]) ).

cnf(c_0_207,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk17_0),esk21_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk20_2(X1,esk17_0),X1)
    | ~ member(esk21_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_198]) ).

cnf(c_0_208,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2) ),
    i_0_122 ).

cnf(c_0_209,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2) ),
    i_0_121 ).

cnf(c_0_210,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk17_0),esk23_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk20_2(X1,esk17_0),X1)
    | ~ member(esk23_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_199]) ).

cnf(c_0_211,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2) ),
    i_0_120 ).

cnf(c_0_212,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).

cnf(c_0_213,negated_conjecture,
    ( apply(esk17_0,esk19_2(X1,esk17_0),esk20_2(X1,esk17_0))
    | apply(esk16_0,esk23_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk23_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_193]) ).

cnf(c_0_214,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_202]) ).

cnf(c_0_215,negated_conjecture,
    ( apply(esk17_0,esk19_2(X1,esk17_0),esk20_2(X1,esk17_0))
    | apply(esk16_0,esk21_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk21_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_191]) ).

cnf(c_0_216,negated_conjecture,
    ( apply(esk16_0,esk22_2(X1,esk17_0),esk23_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk19_2(X1,esk17_0),X1)
    | ~ member(esk23_2(X1,esk17_0),esk15_0)
    | ~ member(esk22_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_190]) ).

cnf(c_0_217,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_218,negated_conjecture,
    pre_order(esk16_0,esk15_0),
    i_0_74 ).

cnf(c_0_219,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).

cnf(c_0_220,negated_conjecture,
    ( apply(esk16_0,esk23_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk20_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk23_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_199]) ).

cnf(c_0_221,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_209]) ).

cnf(c_0_222,negated_conjecture,
    ( apply(esk16_0,esk21_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk20_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk21_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_198]) ).

cnf(c_0_223,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_212]) ).

cnf(c_0_224,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_202]),c_0_204]) ).

cnf(c_0_225,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_214]) ).

cnf(c_0_226,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_215,c_0_202]),c_0_201]) ).

cnf(c_0_227,plain,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_197]),c_0_189]) ).

cnf(c_0_228,negated_conjecture,
    ( apply(esk16_0,esk21_2(X1,esk17_0),esk22_2(X1,esk17_0))
    | epred1_2(esk17_0,X1)
    | member(esk18_2(X1,esk17_0),X1)
    | member(esk19_2(X1,esk17_0),X1)
    | ~ member(esk22_2(X1,esk17_0),esk15_0)
    | ~ member(esk21_2(X1,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_186]) ).

cnf(c_0_229,negated_conjecture,
    ( apply(esk17_0,X1,X2)
    | ~ member(X2,esk15_0)
    | ~ member(X1,esk15_0)
    | ~ apply(esk16_0,X2,X1)
    | ~ apply(esk16_0,X1,X2) ),
    i_0_71 ).

cnf(c_0_230,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk19_2(esk15_0,esk17_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_217,c_0_189]),c_0_218])]),c_0_197]),c_0_188]) ).

cnf(c_0_231,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_123 ).

cnf(c_0_232,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_219]) ).

cnf(c_0_233,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_209]),c_0_211]) ).

cnf(c_0_234,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_221]) ).

cnf(c_0_235,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_209]),c_0_208]) ).

cnf(c_0_236,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_237,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_238,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_227]) ).

cnf(c_0_239,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_189]),c_0_188]) ).

cnf(c_0_240,negated_conjecture,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_188]),c_0_197]),c_0_231]) ).

cnf(c_0_241,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_242,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_243,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_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_236,c_0_202]),c_0_218])]),c_0_204]),c_0_201]) ).

cnf(c_0_244,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_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_237,c_0_202]),c_0_218])]),c_0_201]),c_0_204]) ).

cnf(c_0_245,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_111 ).

cnf(c_0_246,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240]) ).

cnf(c_0_247,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_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_241,c_0_209]),c_0_218])]),c_0_211]),c_0_208]) ).

cnf(c_0_248,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_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_242,c_0_209]),c_0_218])]),c_0_208]),c_0_211]) ).

cnf(c_0_249,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_117 ).

cnf(c_0_250,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_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_229,c_0_243]),c_0_201]),c_0_204]),c_0_244]),c_0_245]) ).

cnf(c_0_251,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk19_2(esk15_0,esk17_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_246,c_0_189]),c_0_218])]),c_0_188]),c_0_197]) ).

cnf(c_0_252,negated_conjecture,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | member(esk18_2(esk15_0,esk17_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_229,c_0_247]),c_0_208]),c_0_211]),c_0_248]),c_0_249]) ).

cnf(c_0_253,negated_conjecture,
    ( apply(esk16_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_250]),c_0_251]),c_0_252]) ).

cnf(c_0_254,negated_conjecture,
    ( apply(esk16_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_250]),c_0_252]),c_0_251]) ).

cnf(c_0_255,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_107 ).

cnf(c_0_256,negated_conjecture,
    ( apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_253]),c_0_252]),c_0_251]),c_0_254]) ).

cnf(c_0_257,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_109 ).

cnf(c_0_258,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_110 ).

cnf(c_0_259,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_106 ).

cnf(c_0_260,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_108 ).

cnf(c_0_261,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_262,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_257,c_0_256]) ).

cnf(c_0_263,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_258,c_0_256]) ).

cnf(c_0_264,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_259,c_0_256]) ).

cnf(c_0_265,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_260,c_0_256]) ).

cnf(c_0_266,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_261]),c_0_262]),c_0_263]) ).

cnf(c_0_267,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_264]),c_0_262]),c_0_265]) ).

cnf(c_0_268,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_266]) ).

cnf(c_0_269,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_264]),c_0_265]),c_0_262]) ).

cnf(c_0_270,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_267]) ).

cnf(c_0_271,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_261]),c_0_263]),c_0_262]) ).

cnf(c_0_272,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_273,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_274,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_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_272,c_0_262]),c_0_218])]),c_0_265]),c_0_263]) ).

cnf(c_0_275,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_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_273,c_0_262]),c_0_218])]),c_0_263]),c_0_265]) ).

cnf(c_0_276,plain,
    ( epred1_2(X1,X2)
    | member(esk18_2(X2,X1),X2)
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_105 ).

cnf(c_0_277,negated_conjecture,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_274]),c_0_263]),c_0_265]),c_0_275]) ).

cnf(c_0_278,plain,
    ( equivalence(X1,X2)
    | ~ epred1_2(X1,X2) ),
    i_0_11 ).

cnf(c_0_279,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk18_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277]),c_0_256]) ).

cnf(c_0_280,negated_conjecture,
    ~ equivalence(esk17_0,esk15_0),
    i_0_70 ).

cnf(c_0_281,plain,
    ( apply(X1,X2,X2)
    | ~ member(X2,X3)
    | ~ pre_order(X1,X3) ),
    i_0_58 ).

cnf(c_0_282,plain,
    member(esk18_2(esk15_0,esk17_0),esk15_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_279]),c_0_280]) ).

cnf(c_0_283,plain,
    ( apply(X1,esk18_2(esk15_0,esk17_0),esk18_2(esk15_0,esk17_0))
    | ~ pre_order(X1,esk15_0) ),
    inference(spm,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_284,negated_conjecture,
    apply(esk16_0,esk18_2(esk15_0,esk17_0),esk18_2(esk15_0,esk17_0)),
    inference(spm,[status(thm)],[c_0_283,c_0_218]) ).

cnf(c_0_285,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_89 ).

cnf(c_0_286,negated_conjecture,
    apply(esk17_0,esk18_2(esk15_0,esk17_0),esk18_2(esk15_0,esk17_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_284]),c_0_284]),c_0_282])]) ).

cnf(c_0_287,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_91 ).

cnf(c_0_288,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_92 ).

cnf(c_0_289,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_88 ).

cnf(c_0_290,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_90 ).

cnf(c_0_291,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_101 ).

cnf(c_0_292,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_103 ).

cnf(c_0_293,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_104 ).

cnf(c_0_294,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_100 ).

cnf(c_0_295,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_102 ).

cnf(c_0_296,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_95 ).

cnf(c_0_297,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_97 ).

cnf(c_0_298,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_98 ).

cnf(c_0_299,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_94 ).

cnf(c_0_300,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1)) ),
    i_0_96 ).

cnf(c_0_301,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

cnf(c_0_302,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_287,c_0_286]) ).

cnf(c_0_303,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_288,c_0_286]) ).

cnf(c_0_304,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_289,c_0_286]) ).

cnf(c_0_305,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_290,c_0_286]) ).

cnf(c_0_306,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_291,c_0_286]) ).

cnf(c_0_307,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_292,c_0_286]) ).

cnf(c_0_308,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_293,c_0_286]) ).

cnf(c_0_309,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_286]) ).

cnf(c_0_310,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_286]) ).

cnf(c_0_311,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_296,c_0_286]) ).

cnf(c_0_312,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_297,c_0_286]) ).

cnf(c_0_313,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_298,c_0_286]) ).

cnf(c_0_314,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_299,c_0_286]) ).

cnf(c_0_315,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_300,c_0_286]) ).

cnf(c_0_316,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_301]),c_0_302]),c_0_303]) ).

cnf(c_0_317,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_304]),c_0_302]),c_0_305]) ).

cnf(c_0_318,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_306]),c_0_307]),c_0_308]) ).

cnf(c_0_319,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_309]),c_0_307]),c_0_310]) ).

cnf(c_0_320,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_311]),c_0_312]),c_0_313]) ).

cnf(c_0_321,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_314]),c_0_312]),c_0_315]) ).

cnf(c_0_322,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_316]) ).

cnf(c_0_323,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_304]),c_0_305]),c_0_302]) ).

cnf(c_0_324,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_317]) ).

cnf(c_0_325,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_301]),c_0_303]),c_0_302]) ).

cnf(c_0_326,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_318]) ).

cnf(c_0_327,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_309]),c_0_310]),c_0_307]) ).

cnf(c_0_328,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_319]) ).

cnf(c_0_329,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_306]),c_0_308]),c_0_307]) ).

cnf(c_0_330,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_320]) ).

cnf(c_0_331,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_314]),c_0_315]),c_0_312]) ).

cnf(c_0_332,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_321]) ).

cnf(c_0_333,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_311]),c_0_313]),c_0_312]) ).

cnf(c_0_334,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_323]) ).

cnf(c_0_335,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_324,c_0_325]) ).

cnf(c_0_336,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk19_2(X2,X1),esk20_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_87 ).

cnf(c_0_337,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_326,c_0_327]) ).

cnf(c_0_338,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_328,c_0_329]) ).

cnf(c_0_339,plain,
    ( epred1_2(X1,X2)
    | member(esk19_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_99 ).

cnf(c_0_340,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_330,c_0_331]) ).

cnf(c_0_341,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_332,c_0_333]) ).

cnf(c_0_342,plain,
    ( epred1_2(X1,X2)
    | member(esk20_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_93 ).

cnf(c_0_343,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_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_334,c_0_302]),c_0_218])]),c_0_305]),c_0_303]) ).

cnf(c_0_344,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_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_335,c_0_302]),c_0_218])]),c_0_303]),c_0_305]) ).

cnf(c_0_345,plain,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_336,c_0_286]) ).

cnf(c_0_346,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_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_337,c_0_307]),c_0_218])]),c_0_310]),c_0_308]) ).

cnf(c_0_347,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_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_338,c_0_307]),c_0_218])]),c_0_308]),c_0_310]) ).

cnf(c_0_348,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_339,c_0_286]) ).

cnf(c_0_349,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_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_340,c_0_312]),c_0_218])]),c_0_315]),c_0_313]) ).

cnf(c_0_350,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_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_341,c_0_312]),c_0_218])]),c_0_313]),c_0_315]) ).

cnf(c_0_351,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_342,c_0_286]) ).

cnf(c_0_352,negated_conjecture,
    ( apply(esk17_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_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_229,c_0_343]),c_0_303]),c_0_305]),c_0_344]),c_0_345]) ).

cnf(c_0_353,negated_conjecture,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk19_2(esk15_0,esk17_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_229,c_0_346]),c_0_308]),c_0_310]),c_0_347]),c_0_348]) ).

cnf(c_0_354,negated_conjecture,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk20_2(esk15_0,esk17_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_229,c_0_349]),c_0_313]),c_0_315]),c_0_350]),c_0_351]) ).

cnf(c_0_355,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk21_2(X2,X1),esk22_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_83 ).

cnf(c_0_356,negated_conjecture,
    ( apply(esk16_0,esk19_2(esk15_0,esk17_0),esk20_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_352]),c_0_353]),c_0_354]) ).

cnf(c_0_357,negated_conjecture,
    ( apply(esk16_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_352]),c_0_354]),c_0_353]) ).

cnf(c_0_358,plain,
    ( epred1_2(X1,X2)
    | member(esk22_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_85 ).

cnf(c_0_359,plain,
    ( epred1_2(X1,X2)
    | member(esk21_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_86 ).

cnf(c_0_360,plain,
    ( epred1_2(X1,X2)
    | apply(X1,esk22_2(X2,X1),esk23_2(X2,X1))
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_82 ).

cnf(c_0_361,plain,
    ( epred1_2(X1,X2)
    | member(esk23_2(X2,X1),X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1)) ),
    i_0_84 ).

cnf(c_0_362,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_355,c_0_286]) ).

cnf(c_0_363,negated_conjecture,
    ( apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_356]),c_0_354]),c_0_353]),c_0_357]) ).

cnf(c_0_364,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_358,c_0_286]) ).

cnf(c_0_365,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_359,c_0_286]) ).

cnf(c_0_366,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_360,c_0_286]) ).

cnf(c_0_367,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0)
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_361,c_0_286]) ).

cnf(c_0_368,plain,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_369,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk22_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_364,c_0_363]) ).

cnf(c_0_370,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk21_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_365,c_0_363]) ).

cnf(c_0_371,plain,
    ( apply(esk17_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(spm,[status(thm)],[c_0_366,c_0_363]) ).

cnf(c_0_372,plain,
    ( epred1_2(esk17_0,esk15_0)
    | member(esk23_2(esk15_0,esk17_0),esk15_0) ),
    inference(spm,[status(thm)],[c_0_367,c_0_363]) ).

cnf(c_0_373,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_368]),c_0_369]),c_0_370]) ).

cnf(c_0_374,negated_conjecture,
    ( apply(esk16_0,esk22_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_371]),c_0_369]),c_0_372]) ).

cnf(c_0_375,plain,
    ( apply(esk16_0,X1,esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk21_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_373]) ).

cnf(c_0_376,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_371]),c_0_372]),c_0_369]) ).

cnf(c_0_377,plain,
    ( apply(esk16_0,X1,esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ apply(esk16_0,X1,esk22_2(esk15_0,esk17_0))
    | ~ member(esk22_2(esk15_0,esk17_0),X2)
    | ~ member(esk23_2(esk15_0,esk17_0),X2)
    | ~ member(X1,X2)
    | ~ pre_order(esk16_0,X2) ),
    inference(spm,[status(thm)],[c_0_194,c_0_374]) ).

cnf(c_0_378,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk22_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_368]),c_0_370]),c_0_369]) ).

cnf(c_0_379,negated_conjecture,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_375,c_0_376]) ).

cnf(c_0_380,negated_conjecture,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0)
    | ~ member(esk22_2(esk15_0,esk17_0),X1)
    | ~ member(esk23_2(esk15_0,esk17_0),X1)
    | ~ member(esk21_2(esk15_0,esk17_0),X1)
    | ~ pre_order(esk16_0,X1) ),
    inference(spm,[status(thm)],[c_0_377,c_0_378]) ).

cnf(c_0_381,plain,
    ( epred1_2(X1,X2)
    | ~ apply(X1,esk18_2(X2,X1),esk18_2(X2,X1))
    | ~ apply(X1,esk20_2(X2,X1),esk19_2(X2,X1))
    | ~ apply(X1,esk21_2(X2,X1),esk23_2(X2,X1)) ),
    i_0_81 ).

cnf(c_0_382,plain,
    ( apply(esk16_0,esk23_2(esk15_0,esk17_0),esk21_2(esk15_0,esk17_0))
    | epred1_2(esk17_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_379,c_0_369]),c_0_218])]),c_0_372]),c_0_370]) ).

cnf(c_0_383,plain,
    ( apply(esk16_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_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_380,c_0_369]),c_0_218])]),c_0_370]),c_0_372]) ).

cnf(c_0_384,plain,
    ( epred1_2(esk17_0,esk15_0)
    | ~ apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | ~ apply(esk17_0,esk20_2(esk15_0,esk17_0),esk19_2(esk15_0,esk17_0)) ),
    inference(spm,[status(thm)],[c_0_381,c_0_286]) ).

cnf(c_0_385,negated_conjecture,
    ( apply(esk17_0,esk21_2(esk15_0,esk17_0),esk23_2(esk15_0,esk17_0))
    | epred1_2(esk17_0,esk15_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_382]),c_0_370]),c_0_372]),c_0_383]) ).

cnf(c_0_386,plain,
    epred1_2(esk17_0,esk15_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_384,c_0_385]),c_0_363]) ).

cnf(c_0_387,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_386]),c_0_280]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SET775+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n023.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 02:32:12 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 250.27/33.04  eprover: CPU time limit exceeded, terminating
% 253.68/33.47  eprover: CPU time limit exceeded, terminating
% 256.90/33.85  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d30-l4800-e0.15+coop-paramils157:
% 256.90/33.85  # SinE strategy is GSinE(CountFormulas,hypos,5.0,,3,500,1.0)
% 256.90/33.85  # 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: 44; version: 991; iters: 150)
% 256.90/33.85  # Preprocessing time       : 0.705 s
% 256.90/33.85  
% 256.90/33.85  # Proof found!
% 256.90/33.85  # SZS status Theorem
% 256.90/33.85  # SZS output start CNFRefutation
% See solution above
% 256.90/33.85  # Training examples: 0 positive, 0 negative
% 256.90/33.85  
% 256.90/33.85  # -------------------------------------------------
% 256.90/33.85  # User time                : 0.984 s
% 256.90/33.85  # System time              : 0.099 s
% 256.90/33.85  # Total time               : 1.083 s
% 256.90/33.85  # ...preprocessing         : 0.705 s
% 256.90/33.85  # ...main loop             : 0.378 s
% 256.90/33.85  # Maximum resident set size: 154540 pages
% 256.90/33.85  
%------------------------------------------------------------------------------