TSTP Solution File: SWC414+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC414+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 20:15:33 EDT 2022

% Result   : Theorem 11.04s 2.89s
% Output   : CNFRefutation 11.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   30
% Syntax   : Number of clauses     :   92 (  17 unt;  36 nHn;  92 RR)
%            Number of literals    :  298 (  91 equ; 178 neg)
%            Maximal clause size   :   11 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :  133 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_240,negated_conjecture,
    ( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | app(app(app(app(X4,cons(X5,nil)),X6),cons(X7,nil)),X8) != esk48_0
    | app(app(app(app(X4,cons(X7,nil)),X6),cons(X5,nil)),X8) != esk49_0
    | ~ ssList(X8)
    | ~ ssList(X6)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X5)
    | ~ ssItem(X7)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_240) ).

cnf(i_0_242,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_242) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_60) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_44) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_156) ).

cnf(i_0_59,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_59) ).

cnf(i_0_215,negated_conjecture,
    ( ssItem(esk55_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_215) ).

cnf(i_0_210,negated_conjecture,
    ( ssItem(esk56_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_210) ).

cnf(i_0_205,negated_conjecture,
    ( ssList(esk57_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_205) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_154) ).

cnf(i_0_196,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_196) ).

cnf(i_0_211,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssItem(esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_211) ).

cnf(i_0_212,negated_conjecture,
    ( ssList(esk60_0)
    | ssItem(esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_212) ).

cnf(i_0_214,negated_conjecture,
    ( ssItem(esk55_0)
    | ssItem(esk58_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_214) ).

cnf(i_0_213,negated_conjecture,
    ( ssItem(esk55_0)
    | ssItem(esk59_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_213) ).

cnf(i_0_206,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssItem(esk56_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_206) ).

cnf(i_0_207,negated_conjecture,
    ( ssList(esk60_0)
    | ssItem(esk56_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_207) ).

cnf(i_0_209,negated_conjecture,
    ( ssItem(esk56_0)
    | ssItem(esk58_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_209) ).

cnf(i_0_208,negated_conjecture,
    ( ssItem(esk56_0)
    | ssItem(esk59_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_208) ).

cnf(i_0_201,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssList(esk57_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_201) ).

cnf(i_0_202,negated_conjecture,
    ( ssList(esk57_0)
    | ssList(esk60_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_202) ).

cnf(i_0_204,negated_conjecture,
    ( ssList(esk57_0)
    | ssItem(esk58_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_204) ).

cnf(i_0_203,negated_conjecture,
    ( ssList(esk57_0)
    | ssItem(esk59_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_203) ).

cnf(i_0_195,negated_conjecture,
    ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_195) ).

cnf(i_0_241,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_241) ).

cnf(i_0_198,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssItem(esk59_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssItem(esk58_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_199) ).

cnf(i_0_197,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssList(esk60_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_197) ).

cnf(i_0_200,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-6_7nu5lu/lgb.p',i_0_200) ).

cnf(c_0_273,negated_conjecture,
    ( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | app(app(app(app(X4,cons(X5,nil)),X6),cons(X7,nil)),X8) != esk48_0
    | app(app(app(app(X4,cons(X7,nil)),X6),cons(X5,nil)),X8) != esk49_0
    | ~ ssList(X8)
    | ~ ssList(X6)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X5)
    | ~ ssItem(X7)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_240 ).

cnf(c_0_274,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_242 ).

cnf(c_0_275,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_276,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_277,negated_conjecture,
    ( app(app(app(app(X1,cons(X2,nil)),X3),cons(X4,nil)),X5) != esk49_0
    | app(app(app(app(X1,cons(X4,nil)),X3),cons(X2,nil)),X5) != esk48_0
    | app(app(cons(X6,nil),cons(X7,nil)),X8) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X4)
    | ~ ssItem(X7)
    | ~ ssItem(X6)
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X8) ),
    inference(rw,[status(thm)],[c_0_273,c_0_274]) ).

cnf(c_0_278,plain,
    ( app(nil,cons(X1,X2)) = cons(X1,X2)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_279,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_280,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_281,negated_conjecture,
    ( app(app(app(app(nil,cons(X1,nil)),X2),cons(X3,nil)),X4) != esk48_0
    | app(app(app(cons(X3,nil),X2),cons(X1,nil)),X4) != esk49_0
    | app(app(cons(X5,nil),cons(X6,nil)),X7) != esk49_0
    | ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssItem(X6)
    | ~ ssItem(X5)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_278]),c_0_279])]) ).

cnf(c_0_282,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_283,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_280])]),c_0_279])]) ).

cnf(c_0_284,plain,
    ( app(app(app(cons(X1,nil),X2),cons(X3,nil)),X4) != esk48_0
    | app(app(app(cons(X3,nil),X2),cons(X1,nil)),X4) != esk49_0
    | app(app(cons(X5,nil),cons(X6,nil)),X7) != esk49_0
    | ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssItem(X6)
    | ~ ssItem(X5)
    | ~ ssList(X4)
    | ~ ssList(X2)
    | ~ ssList(X7) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_278]),c_0_279])]) ).

cnf(c_0_285,plain,
    ( app(cons(X1,nil),nil) = cons(X1,nil)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_279])]) ).

cnf(c_0_286,negated_conjecture,
    ( ssItem(esk55_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_215 ).

cnf(c_0_287,negated_conjecture,
    ( ssItem(esk56_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_210 ).

cnf(c_0_288,negated_conjecture,
    ( ssList(esk57_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_205 ).

cnf(c_0_289,plain,
    ( app(app(app(cons(X1,nil),nil),cons(X2,nil)),X3) != esk49_0
    | app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
    | app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X5)
    | ~ ssItem(X4)
    | ~ ssList(X3)
    | ~ ssList(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_285]),c_0_279])]) ).

cnf(c_0_290,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_291,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
    i_0_196 ).

cnf(c_0_292,negated_conjecture,
    ( ssItem(esk55_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[c_0_286,c_0_274]) ).

cnf(c_0_293,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssItem(esk55_0) ),
    i_0_211 ).

cnf(c_0_294,negated_conjecture,
    ( ssList(esk60_0)
    | ssItem(esk55_0) ),
    i_0_212 ).

cnf(c_0_295,negated_conjecture,
    ( ssItem(esk55_0)
    | ssItem(esk58_0) ),
    i_0_214 ).

cnf(c_0_296,negated_conjecture,
    ( ssItem(esk55_0)
    | ssItem(esk59_0) ),
    i_0_213 ).

cnf(c_0_297,negated_conjecture,
    ( ssItem(esk56_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[c_0_287,c_0_274]) ).

cnf(c_0_298,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssItem(esk56_0) ),
    i_0_206 ).

cnf(c_0_299,negated_conjecture,
    ( ssList(esk60_0)
    | ssItem(esk56_0) ),
    i_0_207 ).

cnf(c_0_300,negated_conjecture,
    ( ssItem(esk56_0)
    | ssItem(esk58_0) ),
    i_0_209 ).

cnf(c_0_301,negated_conjecture,
    ( ssItem(esk56_0)
    | ssItem(esk59_0) ),
    i_0_208 ).

cnf(c_0_302,negated_conjecture,
    ( ssList(esk57_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[c_0_288,c_0_274]) ).

cnf(c_0_303,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | ssList(esk57_0) ),
    i_0_201 ).

cnf(c_0_304,negated_conjecture,
    ( ssList(esk57_0)
    | ssList(esk60_0) ),
    i_0_202 ).

cnf(c_0_305,negated_conjecture,
    ( ssList(esk57_0)
    | ssItem(esk58_0) ),
    i_0_204 ).

cnf(c_0_306,negated_conjecture,
    ( ssList(esk57_0)
    | ssItem(esk59_0) ),
    i_0_203 ).

cnf(c_0_307,negated_conjecture,
    ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_195 ).

cnf(c_0_308,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_241 ).

cnf(c_0_309,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssItem(esk59_0) ),
    i_0_198 ).

cnf(c_0_310,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssItem(esk58_0) ),
    i_0_199 ).

cnf(c_0_311,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | ssList(esk60_0) ),
    i_0_197 ).

cnf(c_0_312,plain,
    ( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
    | app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
    | ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ ssItem(X5)
    | ~ ssItem(X4)
    | ~ ssList(X3)
    | ~ ssList(X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_279])]) ).

cnf(c_0_313,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
    inference(rw,[status(thm)],[c_0_291,c_0_274]) ).

cnf(c_0_314,negated_conjecture,
    ssItem(esk55_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_294]),c_0_295]),c_0_296]) ).

cnf(c_0_315,negated_conjecture,
    ssItem(esk56_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]),c_0_300]),c_0_301]) ).

cnf(c_0_316,negated_conjecture,
    ssList(esk57_0),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_303]),c_0_304]),c_0_305]),c_0_306]) ).

cnf(c_0_317,negated_conjecture,
    ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_307,c_0_308]),c_0_274]) ).

cnf(c_0_318,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
    | ssItem(esk59_0) ),
    inference(rw,[status(thm)],[c_0_309,c_0_274]) ).

cnf(c_0_319,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
    | ssItem(esk58_0) ),
    inference(rw,[status(thm)],[c_0_310,c_0_274]) ).

cnf(c_0_320,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
    | ssList(esk60_0) ),
    inference(rw,[status(thm)],[c_0_311,c_0_274]) ).

cnf(c_0_321,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_200 ).

cnf(c_0_322,negated_conjecture,
    ( app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    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_312,c_0_313]),c_0_314]),c_0_315]),c_0_316])]),c_0_317]) ).

cnf(c_0_323,negated_conjecture,
    ( ssItem(esk59_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    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_312,c_0_318]),c_0_314]),c_0_315]),c_0_316])]),c_0_317]) ).

cnf(c_0_324,negated_conjecture,
    ( ssItem(esk58_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    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_312,c_0_319]),c_0_314]),c_0_315]),c_0_316])]),c_0_317]) ).

cnf(c_0_325,negated_conjecture,
    ( ssList(esk60_0)
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    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_312,c_0_320]),c_0_314]),c_0_315]),c_0_316])]),c_0_317]) ).

cnf(c_0_326,negated_conjecture,
    ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
    | app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_274]),c_0_274]) ).

cnf(c_0_327,negated_conjecture,
    app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_313]),c_0_315]),c_0_314]),c_0_316])]) ).

cnf(c_0_328,negated_conjecture,
    ssItem(esk59_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_323,c_0_318]),c_0_315]),c_0_314]),c_0_316])]) ).

cnf(c_0_329,negated_conjecture,
    ssItem(esk58_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_319]),c_0_315]),c_0_314]),c_0_316])]) ).

cnf(c_0_330,negated_conjecture,
    ssList(esk60_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_320]),c_0_315]),c_0_314]),c_0_316])]) ).

cnf(c_0_331,negated_conjecture,
    app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]),c_0_329]),c_0_330])]) ).

cnf(c_0_332,negated_conjecture,
    app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_327]),c_0_328]),c_0_329]),c_0_330])]) ).

cnf(c_0_333,plain,
    ( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_331]),c_0_332]),c_0_314]),c_0_315]),c_0_316])]) ).

cnf(c_0_334,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_333,c_0_327]),c_0_328]),c_0_329]),c_0_330])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC414+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 12 03:49:10 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.04/2.89  # ENIGMATIC: Solved by autoschedule-lgb:
% 11.04/2.89  # No SInE strategy applied
% 11.04/2.89  # Trying AutoSched0 for 150 seconds
% 11.04/2.89  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 11.04/2.89  # and selection function SelectComplexExceptUniqMaxHorn.
% 11.04/2.89  #
% 11.04/2.89  # Preprocessing time       : 0.025 s
% 11.04/2.89  # Presaturation interreduction done
% 11.04/2.89  
% 11.04/2.89  # Proof found!
% 11.04/2.89  # SZS status Theorem
% 11.04/2.89  # SZS output start CNFRefutation
% See solution above
% 11.04/2.89  # Training examples: 0 positive, 0 negative
% 11.04/2.89  
% 11.04/2.89  # -------------------------------------------------
% 11.04/2.89  # User time                : 0.329 s
% 11.04/2.89  # System time              : 0.029 s
% 11.04/2.89  # Total time               : 0.359 s
% 11.04/2.89  # Maximum resident set size: 7124 pages
% 11.04/2.89  
%------------------------------------------------------------------------------