TSTP Solution File: LCL652+1.020 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : LCL652+1.020 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 09:29:46 EDT 2022

% Result   : Theorem 35.49s 6.08s
% Output   : CNFRefutation 35.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   45
% Syntax   : Number of clauses     :  153 (  57 unt;  42 nHn; 153 RR)
%            Number of literals    :  439 (   0 equ; 246 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   31 (  31 usr;  21 con; 0-3 aty)
%            Number of variables   :  204 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_171,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_171) ).

cnf(i_0_157,negated_conjecture,
    r1(esk1_0,esk17_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_157) ).

cnf(i_0_308,plain,
    ( epred4_1(X1)
    | ~ epred5_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_308) ).

cnf(i_0_115,negated_conjecture,
    r1(esk41_0,esk45_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_115) ).

cnf(i_0_151,negated_conjecture,
    r1(esk17_0,esk21_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_151) ).

cnf(i_0_283,plain,
    ( epred3_1(X1)
    | ~ epred4_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_283) ).

cnf(i_0_91,negated_conjecture,
    r1(esk57_0,esk61_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_91) ).

cnf(i_0_121,negated_conjecture,
    r1(esk37_0,esk41_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_121) ).

cnf(i_0_145,negated_conjecture,
    r1(esk21_0,esk25_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_145) ).

cnf(i_0_233,plain,
    ( epred1_1(X1)
    | ~ epred2_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_233) ).

cnf(i_0_43,negated_conjecture,
    r1(esk89_0,esk93_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_43) ).

cnf(i_0_258,plain,
    ( epred2_1(X1)
    | ~ epred3_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_258) ).

cnf(i_0_67,negated_conjecture,
    r1(esk73_0,esk77_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_67) ).

cnf(i_0_97,negated_conjecture,
    r1(esk53_0,esk57_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_97) ).

cnf(i_0_127,negated_conjecture,
    r1(esk33_0,esk37_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_127) ).

cnf(i_0_139,negated_conjecture,
    r1(esk25_0,esk29_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_139) ).

cnf(i_0_49,negated_conjecture,
    r1(esk85_0,esk89_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_49) ).

cnf(i_0_73,negated_conjecture,
    r1(esk69_0,esk73_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_73) ).

cnf(i_0_103,negated_conjecture,
    r1(esk49_0,esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_103) ).

cnf(i_0_133,negated_conjecture,
    r1(esk29_0,esk33_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_133) ).

cnf(i_0_55,negated_conjecture,
    r1(esk81_0,esk85_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_55) ).

cnf(i_0_79,negated_conjecture,
    r1(esk65_0,esk69_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_79) ).

cnf(i_0_109,negated_conjecture,
    r1(esk45_0,esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_109) ).

cnf(i_0_61,negated_conjecture,
    r1(esk77_0,esk81_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_61) ).

cnf(i_0_85,negated_conjecture,
    r1(esk61_0,esk65_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_85) ).

cnf(i_0_196,plain,
    ( r1(X1,esk126_1(X1))
    | r1(X1,esk128_1(X1))
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_196) ).

cnf(i_0_224,plain,
    ( r1(X1,esk115_2(X2,X1))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_224) ).

cnf(i_0_221,plain,
    ( p2(esk115_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_221) ).

cnf(i_0_190,plain,
    ( p2(esk126_1(X1))
    | r1(X1,esk128_1(X1))
    | ~ epred1_1(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_190) ).

cnf(i_0_195,plain,
    ( r1(X1,esk126_1(X1))
    | ~ p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk128_1(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_195) ).

cnf(i_0_206,plain,
    ( r1(X1,esk122_2(X2,X1))
    | r1(X1,esk123_2(X2,X1))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_206) ).

cnf(i_0_189,plain,
    ( p2(esk126_1(X1))
    | ~ p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk128_1(X1),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_189) ).

cnf(i_0_216,plain,
    ( p2(X1)
    | r1(X2,esk118_3(X3,X4,X2))
    | ~ p2(X4)
    | ~ epred1_1(X3)
    | ~ r1(X4,X1)
    | ~ r1(X4,X2)
    | ~ r1(X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_216) ).

cnf(i_0_42,negated_conjecture,
    ( r1(X1,esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_42) ).

cnf(i_0_41,negated_conjecture,
    ( ~ p2(esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_41) ).

cnf(i_0_205,plain,
    ( r1(X1,esk122_2(X2,X1))
    | r1(X3,esk124_3(X2,X1,X3))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ r1(esk123_2(X2,X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_205) ).

cnf(i_0_202,plain,
    ( p2(esk124_3(X1,X2,X3))
    | r1(X2,esk122_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(esk123_2(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_202) ).

cnf(i_0_215,plain,
    ( p2(X1)
    | ~ p2(X2)
    | ~ p2(X3)
    | ~ epred1_1(X4)
    | ~ r1(X3,X1)
    | ~ r1(X3,X5)
    | ~ r1(X4,X3)
    | ~ r1(esk118_3(X4,X3,X5),X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_215) ).

cnf(i_0_214,plain,
    ( r1(X1,esk121_1(X1))
    | r1(X2,esk119_3(X1,X3,X2))
    | ~ epred1_1(X1)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_214) ).

cnf(i_0_208,plain,
    ( r1(X1,esk121_1(X1))
    | p2(esk119_3(X1,X2,X3))
    | ~ epred1_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_208) ).

cnf(i_0_213,plain,
    ( r1(X1,esk119_3(X2,X3,X1))
    | ~ p2(X4)
    | ~ epred1_1(X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk121_1(X2),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_213) ).

cnf(i_0_207,plain,
    ( p2(esk119_3(X1,X2,X3))
    | ~ p2(X4)
    | ~ epred1_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk121_1(X1),X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_207) ).

cnf(i_0_201,plain,
    ( r1(X1,esk123_2(X2,X1))
    | ~ p2(X3)
    | ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ r1(esk122_2(X2,X1),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_201) ).

cnf(i_0_200,plain,
    ( r1(X1,esk124_3(X2,X3,X1))
    | ~ p2(X4)
    | ~ epred1_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk122_2(X2,X3),X4)
    | ~ r1(esk123_2(X2,X3),X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_200) ).

cnf(i_0_197,plain,
    ( p2(esk124_3(X1,X2,X3))
    | ~ p2(X4)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(esk122_2(X1,X2),X4)
    | ~ r1(esk123_2(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-8p5x6f0l/lgb.p',i_0_197) ).

cnf(c_0_354,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1)
    | ~ r1(esk1_0,X2) ),
    i_0_171 ).

cnf(c_0_355,negated_conjecture,
    r1(esk1_0,esk17_0),
    i_0_157 ).

cnf(c_0_356,plain,
    ( epred4_1(X1)
    | ~ epred5_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    i_0_308 ).

cnf(c_0_357,negated_conjecture,
    r1(esk41_0,esk45_0),
    i_0_115 ).

cnf(c_0_358,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk17_0,X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3) ),
    inference(spm,[status(thm)],[c_0_354,c_0_355]) ).

cnf(c_0_359,negated_conjecture,
    r1(esk17_0,esk21_0),
    i_0_151 ).

cnf(c_0_360,plain,
    ( epred3_1(X1)
    | ~ epred4_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    i_0_283 ).

cnf(c_0_361,negated_conjecture,
    r1(esk57_0,esk61_0),
    i_0_91 ).

cnf(c_0_362,negated_conjecture,
    ( epred4_1(esk45_0)
    | ~ epred5_1(X1)
    | ~ r1(X2,esk41_0)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(spm,[status(thm)],[c_0_356,c_0_357]) ).

cnf(c_0_363,negated_conjecture,
    r1(esk37_0,esk41_0),
    i_0_121 ).

cnf(c_0_364,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk21_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_358,c_0_359]) ).

cnf(c_0_365,negated_conjecture,
    r1(esk21_0,esk25_0),
    i_0_145 ).

cnf(c_0_366,plain,
    ( epred1_1(X1)
    | ~ epred2_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    i_0_233 ).

cnf(c_0_367,negated_conjecture,
    r1(esk89_0,esk93_0),
    i_0_43 ).

cnf(c_0_368,plain,
    ( epred2_1(X1)
    | ~ epred3_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X5)
    | ~ r1(X5,X1) ),
    i_0_258 ).

cnf(c_0_369,negated_conjecture,
    r1(esk73_0,esk77_0),
    i_0_67 ).

cnf(c_0_370,negated_conjecture,
    ( epred3_1(esk61_0)
    | ~ epred4_1(X1)
    | ~ r1(X2,esk57_0)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(spm,[status(thm)],[c_0_360,c_0_361]) ).

cnf(c_0_371,negated_conjecture,
    r1(esk53_0,esk57_0),
    i_0_97 ).

cnf(c_0_372,negated_conjecture,
    ( epred4_1(esk45_0)
    | ~ epred5_1(X1)
    | ~ r1(X2,esk37_0)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_362,c_0_363]) ).

cnf(c_0_373,negated_conjecture,
    r1(esk33_0,esk37_0),
    i_0_127 ).

cnf(c_0_374,negated_conjecture,
    ( epred5_1(X1)
    | ~ r1(esk25_0,X1) ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

cnf(c_0_375,negated_conjecture,
    r1(esk25_0,esk29_0),
    i_0_139 ).

cnf(c_0_376,negated_conjecture,
    ( epred1_1(esk93_0)
    | ~ epred2_1(X1)
    | ~ r1(X2,esk89_0)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(spm,[status(thm)],[c_0_366,c_0_367]) ).

cnf(c_0_377,negated_conjecture,
    r1(esk85_0,esk89_0),
    i_0_49 ).

cnf(c_0_378,negated_conjecture,
    ( epred2_1(esk77_0)
    | ~ epred3_1(X1)
    | ~ r1(X2,esk73_0)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    inference(spm,[status(thm)],[c_0_368,c_0_369]) ).

cnf(c_0_379,negated_conjecture,
    r1(esk69_0,esk73_0),
    i_0_73 ).

cnf(c_0_380,negated_conjecture,
    ( epred3_1(esk61_0)
    | ~ epred4_1(X1)
    | ~ r1(X2,esk53_0)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_370,c_0_371]) ).

cnf(c_0_381,negated_conjecture,
    r1(esk49_0,esk53_0),
    i_0_103 ).

cnf(c_0_382,negated_conjecture,
    ( epred4_1(esk45_0)
    | ~ epred5_1(X1)
    | ~ r1(X1,esk33_0) ),
    inference(spm,[status(thm)],[c_0_372,c_0_373]) ).

cnf(c_0_383,negated_conjecture,
    r1(esk29_0,esk33_0),
    i_0_133 ).

cnf(c_0_384,negated_conjecture,
    epred5_1(esk29_0),
    inference(spm,[status(thm)],[c_0_374,c_0_375]) ).

cnf(c_0_385,negated_conjecture,
    ( epred1_1(esk93_0)
    | ~ epred2_1(X1)
    | ~ r1(X2,esk85_0)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_376,c_0_377]) ).

cnf(c_0_386,negated_conjecture,
    r1(esk81_0,esk85_0),
    i_0_55 ).

cnf(c_0_387,negated_conjecture,
    ( epred2_1(esk77_0)
    | ~ epred3_1(X1)
    | ~ r1(X2,esk69_0)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_378,c_0_379]) ).

cnf(c_0_388,negated_conjecture,
    r1(esk65_0,esk69_0),
    i_0_79 ).

cnf(c_0_389,negated_conjecture,
    ( epred3_1(esk61_0)
    | ~ epred4_1(X1)
    | ~ r1(X1,esk49_0) ),
    inference(spm,[status(thm)],[c_0_380,c_0_381]) ).

cnf(c_0_390,negated_conjecture,
    r1(esk45_0,esk49_0),
    i_0_109 ).

cnf(c_0_391,negated_conjecture,
    epred4_1(esk45_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_383]),c_0_384])]) ).

cnf(c_0_392,negated_conjecture,
    ( epred1_1(esk93_0)
    | ~ epred2_1(X1)
    | ~ r1(X1,esk81_0) ),
    inference(spm,[status(thm)],[c_0_385,c_0_386]) ).

cnf(c_0_393,negated_conjecture,
    r1(esk77_0,esk81_0),
    i_0_61 ).

cnf(c_0_394,negated_conjecture,
    ( epred2_1(esk77_0)
    | ~ epred3_1(X1)
    | ~ r1(X1,esk65_0) ),
    inference(spm,[status(thm)],[c_0_387,c_0_388]) ).

cnf(c_0_395,negated_conjecture,
    r1(esk61_0,esk65_0),
    i_0_85 ).

cnf(c_0_396,negated_conjecture,
    epred3_1(esk61_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_391])]) ).

cnf(c_0_397,negated_conjecture,
    ( epred1_1(esk93_0)
    | ~ epred2_1(esk77_0) ),
    inference(spm,[status(thm)],[c_0_392,c_0_393]) ).

cnf(c_0_398,negated_conjecture,
    epred2_1(esk77_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_394,c_0_395]),c_0_396])]) ).

cnf(c_0_399,plain,
    ( r1(X1,esk126_1(X1))
    | r1(X1,esk128_1(X1))
    | ~ epred1_1(X1) ),
    i_0_196 ).

cnf(c_0_400,negated_conjecture,
    epred1_1(esk93_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_398])]) ).

cnf(c_0_401,plain,
    ( r1(X1,esk115_2(X2,X1))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1) ),
    i_0_224 ).

cnf(c_0_402,plain,
    ( r1(esk93_0,esk126_1(esk93_0))
    | r1(esk93_0,esk128_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

cnf(c_0_403,plain,
    ( p2(esk115_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2) ),
    i_0_221 ).

cnf(c_0_404,plain,
    ( p2(esk126_1(X1))
    | r1(X1,esk128_1(X1))
    | ~ epred1_1(X1) ),
    i_0_190 ).

cnf(c_0_405,plain,
    ( r1(X1,esk126_1(X1))
    | ~ p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk128_1(X1),X2) ),
    i_0_195 ).

cnf(c_0_406,plain,
    ( r1(esk128_1(esk93_0),esk115_2(esk93_0,esk128_1(esk93_0)))
    | r1(esk93_0,esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_402]),c_0_400])]) ).

cnf(c_0_407,plain,
    ( r1(esk93_0,esk126_1(esk93_0))
    | p2(esk115_2(esk93_0,esk128_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_402]),c_0_400])]) ).

cnf(c_0_408,plain,
    ( r1(esk93_0,esk128_1(esk93_0))
    | p2(esk126_1(esk93_0)) ),
    inference(spm,[status(thm)],[c_0_404,c_0_400]) ).

cnf(c_0_409,plain,
    ( r1(X1,esk122_2(X2,X1))
    | r1(X1,esk123_2(X2,X1))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1) ),
    i_0_206 ).

cnf(c_0_410,plain,
    r1(esk93_0,esk126_1(esk93_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_405,c_0_406]),c_0_400])]),c_0_407]) ).

cnf(c_0_411,plain,
    ( p2(esk126_1(X1))
    | ~ p2(X2)
    | ~ epred1_1(X1)
    | ~ r1(esk128_1(X1),X2) ),
    i_0_189 ).

cnf(c_0_412,plain,
    ( r1(esk128_1(esk93_0),esk115_2(esk93_0,esk128_1(esk93_0)))
    | p2(esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_408]),c_0_400])]) ).

cnf(c_0_413,plain,
    ( p2(esk115_2(esk93_0,esk128_1(esk93_0)))
    | p2(esk126_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_408]),c_0_400])]) ).

cnf(c_0_414,plain,
    ( p2(X1)
    | r1(X2,esk118_3(X3,X4,X2))
    | ~ p2(X4)
    | ~ epred1_1(X3)
    | ~ r1(X4,X1)
    | ~ r1(X4,X2)
    | ~ r1(X3,X4) ),
    i_0_216 ).

cnf(c_0_415,plain,
    ( r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | r1(esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_409,c_0_410]),c_0_400])]) ).

cnf(c_0_416,plain,
    p2(esk126_1(esk93_0)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_411,c_0_412]),c_0_400])]),c_0_413]) ).

cnf(c_0_417,negated_conjecture,
    ( r1(X1,esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    i_0_42 ).

cnf(c_0_418,negated_conjecture,
    ( ~ p2(esk94_1(X1))
    | ~ r1(esk93_0,X1) ),
    i_0_41 ).

cnf(c_0_419,plain,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | p2(X2)
    | ~ r1(esk126_1(esk93_0),X2)
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_415]),c_0_416])]) ).

cnf(c_0_420,negated_conjecture,
    r1(esk126_1(esk93_0),esk94_1(esk126_1(esk93_0))),
    inference(spm,[status(thm)],[c_0_417,c_0_410]) ).

cnf(c_0_421,negated_conjecture,
    ~ p2(esk94_1(esk126_1(esk93_0))),
    inference(spm,[status(thm)],[c_0_418,c_0_410]) ).

cnf(c_0_422,negated_conjecture,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_419,c_0_420]),c_0_421]) ).

cnf(c_0_423,plain,
    ( r1(X1,esk122_2(X2,X1))
    | r1(X3,esk124_3(X2,X1,X3))
    | ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ r1(esk123_2(X2,X1),X3) ),
    i_0_205 ).

cnf(c_0_424,plain,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_422,c_0_410]),c_0_400])]) ).

cnf(c_0_425,plain,
    ( p2(esk124_3(X1,X2,X3))
    | r1(X2,esk122_2(X1,X2))
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(esk123_2(X1,X2),X3) ),
    i_0_202 ).

cnf(c_0_426,plain,
    ( p2(X1)
    | ~ p2(X2)
    | ~ p2(X3)
    | ~ epred1_1(X4)
    | ~ r1(X3,X1)
    | ~ r1(X3,X5)
    | ~ r1(X4,X3)
    | ~ r1(esk118_3(X4,X3,X5),X2) ),
    i_0_215 ).

cnf(c_0_427,plain,
    ( r1(esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))))
    | r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_423,c_0_424]),c_0_410]),c_0_400])]) ).

cnf(c_0_428,plain,
    ( r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_424]),c_0_410]),c_0_400])]) ).

cnf(c_0_429,plain,
    ( r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))
    | p2(X1)
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_410]),c_0_400]),c_0_416])]),c_0_428]),c_0_415]) ).

cnf(c_0_430,plain,
    ( r1(X1,esk121_1(X1))
    | r1(X2,esk119_3(X1,X3,X2))
    | ~ epred1_1(X1)
    | ~ r1(X3,X2)
    | ~ r1(X1,X3) ),
    i_0_214 ).

cnf(c_0_431,negated_conjecture,
    r1(esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_429,c_0_420]),c_0_421]) ).

cnf(c_0_432,plain,
    ( r1(X1,esk121_1(X1))
    | p2(esk119_3(X1,X2,X3))
    | ~ epred1_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2) ),
    i_0_208 ).

cnf(c_0_433,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(X1,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk121_1(X1))
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(spm,[status(thm)],[c_0_430,c_0_431]) ).

cnf(c_0_434,plain,
    ( r1(X1,esk121_1(X1))
    | p2(esk119_3(X1,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(spm,[status(thm)],[c_0_432,c_0_431]) ).

cnf(c_0_435,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk93_0,esk121_1(esk93_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_410]),c_0_400])]) ).

cnf(c_0_436,plain,
    ( r1(esk93_0,esk121_1(esk93_0))
    | p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_434,c_0_410]),c_0_400])]) ).

cnf(c_0_437,plain,
    ( r1(X1,esk119_3(X2,X3,X1))
    | ~ p2(X4)
    | ~ epred1_1(X2)
    | ~ r1(X3,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk121_1(X2),X4) ),
    i_0_213 ).

cnf(c_0_438,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(esk121_1(esk93_0),esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_435]),c_0_400])]) ).

cnf(c_0_439,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_435]),c_0_400])]) ).

cnf(c_0_440,plain,
    ( p2(esk119_3(X1,X2,X3))
    | ~ p2(X4)
    | ~ epred1_1(X1)
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk121_1(X1),X4) ),
    i_0_207 ).

cnf(c_0_441,plain,
    ( r1(esk121_1(esk93_0),esk115_2(esk93_0,esk121_1(esk93_0)))
    | p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_401,c_0_436]),c_0_400])]) ).

cnf(c_0_442,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk115_2(esk93_0,esk121_1(esk93_0))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_403,c_0_436]),c_0_400])]) ).

cnf(c_0_443,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk119_3(esk93_0,X2,X1))
    | ~ r1(esk93_0,X2)
    | ~ r1(X2,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_437,c_0_438]),c_0_400])]),c_0_439]) ).

cnf(c_0_444,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk119_3(esk93_0,X1,X2))
    | ~ r1(esk93_0,X1)
    | ~ r1(X1,X2) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_440,c_0_441]),c_0_400])]),c_0_442]) ).

cnf(c_0_445,plain,
    ( r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | r1(X1,esk119_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_443,c_0_410]) ).

cnf(c_0_446,plain,
    ( p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0))))
    | p2(esk119_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(spm,[status(thm)],[c_0_444,c_0_410]) ).

cnf(c_0_447,plain,
    ( r1(X1,esk123_2(X2,X1))
    | ~ p2(X3)
    | ~ epred1_1(X2)
    | ~ r1(X2,X1)
    | ~ r1(esk122_2(X2,X1),X3) ),
    i_0_201 ).

cnf(c_0_448,negated_conjecture,
    r1(esk122_2(esk93_0,esk126_1(esk93_0)),esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))),
    inference(spm,[status(thm)],[c_0_445,c_0_431]) ).

cnf(c_0_449,negated_conjecture,
    p2(esk119_3(esk93_0,esk126_1(esk93_0),esk122_2(esk93_0,esk126_1(esk93_0)))),
    inference(spm,[status(thm)],[c_0_446,c_0_431]) ).

cnf(c_0_450,plain,
    r1(esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_447,c_0_448]),c_0_410]),c_0_400]),c_0_449])]) ).

cnf(c_0_451,plain,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | p2(X2)
    | ~ r1(esk126_1(esk93_0),X2)
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_450]),c_0_416])]) ).

cnf(c_0_452,plain,
    ( r1(X1,esk124_3(X2,X3,X1))
    | ~ p2(X4)
    | ~ epred1_1(X2)
    | ~ r1(X2,X3)
    | ~ r1(esk122_2(X2,X3),X4)
    | ~ r1(esk123_2(X2,X3),X1) ),
    i_0_200 ).

cnf(c_0_453,negated_conjecture,
    ( r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(X1,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))
    | ~ r1(X1,esk126_1(esk93_0))
    | ~ epred1_1(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_451,c_0_420]),c_0_421]) ).

cnf(c_0_454,plain,
    ( p2(esk124_3(X1,X2,X3))
    | ~ p2(X4)
    | ~ epred1_1(X1)
    | ~ r1(X1,X2)
    | ~ r1(esk122_2(X1,X2),X4)
    | ~ r1(esk123_2(X1,X2),X3) ),
    i_0_197 ).

cnf(c_0_455,plain,
    ( r1(X1,esk124_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk123_2(esk93_0,esk126_1(esk93_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_452,c_0_448]),c_0_410]),c_0_400]),c_0_449])]) ).

cnf(c_0_456,plain,
    r1(esk123_2(esk93_0,esk126_1(esk93_0)),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_410]),c_0_400])]) ).

cnf(c_0_457,plain,
    ( p2(esk124_3(esk93_0,esk126_1(esk93_0),X1))
    | ~ r1(esk123_2(esk93_0,esk126_1(esk93_0)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_454,c_0_448]),c_0_410]),c_0_400]),c_0_449])]) ).

cnf(c_0_458,plain,
    r1(esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))),esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))),
    inference(spm,[status(thm)],[c_0_455,c_0_456]) ).

cnf(c_0_459,plain,
    p2(esk124_3(esk93_0,esk126_1(esk93_0),esk118_3(esk93_0,esk126_1(esk93_0),esk123_2(esk93_0,esk126_1(esk93_0))))),
    inference(spm,[status(thm)],[c_0_457,c_0_456]) ).

cnf(c_0_460,plain,
    ( p2(X1)
    | ~ r1(esk126_1(esk93_0),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_458]),c_0_410]),c_0_450]),c_0_400]),c_0_416]),c_0_459])]) ).

cnf(c_0_461,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_460,c_0_420]),c_0_421]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL652+1.020 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % 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
% 0.12/0.34  % DateTime : Sun Jul  3 12:28:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected complete mode:
% 35.49/6.08  # ENIGMATIC: Solved by autoschedule-lgb:
% 35.49/6.08  # No SInE strategy applied
% 35.49/6.08  # Trying AutoSched0 for 150 seconds
% 35.49/6.08  # AutoSched0-Mode selected heuristic U_____043_B31_F1_PI_AE_CS_SP_S2S
% 35.49/6.08  # and selection function SelectNewComplexAHP.
% 35.49/6.08  #
% 35.49/6.08  # Preprocessing time       : 0.033 s
% 35.49/6.08  
% 35.49/6.08  # Proof found!
% 35.49/6.08  # SZS status Theorem
% 35.49/6.08  # SZS output start CNFRefutation
% See solution above
% 35.49/6.08  # Training examples: 0 positive, 0 negative
% 35.49/6.08  
% 35.49/6.08  # -------------------------------------------------
% 35.49/6.08  # User time                : 3.362 s
% 35.49/6.08  # System time              : 0.029 s
% 35.49/6.08  # Total time               : 3.391 s
% 35.49/6.08  # Maximum resident set size: 7124 pages
% 35.49/6.08  
%------------------------------------------------------------------------------