TSTP Solution File: SWC152+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC152+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 20:13:57 EDT 2022

% Result   : Theorem 8.32s 2.46s
% Output   : CNFRefutation 8.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   26
% Syntax   : Number of clauses     :   89 (  30 unt;   8 nHn;  89 RR)
%            Number of literals    :  260 (  61 equ; 176 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   88 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_203,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_203) ).

cnf(i_0_209,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_209) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_155) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_205) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_206) ).

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-oil0lt6r/lgb.p',i_0_154) ).

cnf(i_0_208,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_208) ).

cnf(i_0_157,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_157) ).

cnf(i_0_204,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_204) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_58) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_158) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_43) ).

cnf(i_0_207,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_207) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_44) ).

cnf(i_0_45,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_45) ).

cnf(i_0_81,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_81) ).

cnf(i_0_214,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_214) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk58_0,nil) = esk50_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_195) ).

cnf(i_0_197,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk58_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_197) ).

cnf(i_0_78,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_78) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_79) ).

cnf(i_0_112,plain,
    ( cyclefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_112) ).

cnf(i_0_173,plain,
    ( app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X6)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ cyclefreeP(X6)
    | ~ leq(X4,X2)
    | ~ leq(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_173) ).

cnf(i_0_121,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_121) ).

cnf(i_0_202,negated_conjecture,
    leq(esk53_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_202) ).

cnf(i_0_17,plain,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ totalorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-oil0lt6r/lgb.p',i_0_17) ).

cnf(c_0_241,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    i_0_203 ).

cnf(c_0_242,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_209 ).

cnf(c_0_243,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_241,c_0_242]) ).

cnf(c_0_244,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_245,negated_conjecture,
    ssList(esk55_0),
    i_0_205 ).

cnf(c_0_246,negated_conjecture,
    ssList(esk54_0),
    i_0_206 ).

cnf(c_0_247,negated_conjecture,
    ( app(app(app(esk54_0,app(cons(esk52_0,nil),esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_245]),c_0_246])]) ).

cnf(c_0_248,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_249,negated_conjecture,
    ssItem(esk52_0),
    i_0_208 ).

cnf(c_0_250,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_157 ).

cnf(c_0_251,plain,
    ( app(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)),esk56_0) = esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248]),c_0_249]),c_0_245])]) ).

cnf(c_0_252,negated_conjecture,
    ssList(esk56_0),
    i_0_204 ).

cnf(c_0_253,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_252])]) ).

cnf(c_0_254,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_255,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_256,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(spm,[status(thm)],[c_0_253,c_0_254]) ).

cnf(c_0_257,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(spm,[status(thm)],[c_0_255,c_0_256]) ).

cnf(c_0_258,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_257,c_0_254]),c_0_246])]) ).

cnf(c_0_259,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_260,negated_conjecture,
    ssItem(esk53_0),
    i_0_207 ).

cnf(c_0_261,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_262,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]),c_0_261])]) ).

cnf(c_0_263,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_259]),c_0_249]),c_0_245])]) ).

cnf(c_0_264,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_265,plain,
    ( cons(esk53_0,nil) = nil
    | esk50_0 != nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_259]),c_0_249]),c_0_261])]) ).

cnf(c_0_266,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_267,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),app(cons(esk53_0,nil),esk56_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_251]),c_0_252])]) ).

cnf(c_0_268,negated_conjecture,
    ssList(esk48_0),
    i_0_214 ).

cnf(c_0_269,negated_conjecture,
    ( esk50_0 = nil
    | cons(esk58_0,nil) = esk50_0 ),
    i_0_195 ).

cnf(c_0_270,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_260]),c_0_261])]) ).

cnf(c_0_271,negated_conjecture,
    ( esk50_0 = nil
    | ssItem(esk58_0) ),
    i_0_197 ).

cnf(c_0_272,plain,
    ( memberP(app(X1,cons(X2,X3)),X2)
    | ~ ssItem(X2)
    | ~ ssList(app(X1,cons(X2,X3)))
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_266]) ).

cnf(c_0_273,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk53_0,esk56_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_248]),c_0_260]),c_0_252])]) ).

cnf(c_0_274,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_268,c_0_242]) ).

cnf(c_0_275,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    i_0_78 ).

cnf(c_0_276,negated_conjecture,
    cons(esk58_0,nil) = esk50_0,
    inference(sr,[status(thm)],[c_0_269,c_0_270]) ).

cnf(c_0_277,negated_conjecture,
    ssItem(esk58_0),
    inference(sr,[status(thm)],[c_0_271,c_0_270]) ).

cnf(c_0_278,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_279,plain,
    ( memberP(esk50_0,esk53_0)
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_273]),c_0_260]),c_0_274]),c_0_252])]) ).

cnf(c_0_280,plain,
    ( esk58_0 = X1
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_276]),c_0_277]),c_0_261])]),c_0_278]) ).

cnf(c_0_281,plain,
    ( memberP(esk50_0,esk53_0)
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_254]),c_0_246])]) ).

cnf(c_0_282,plain,
    ( esk53_0 = esk58_0
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_281]),c_0_260])]) ).

cnf(c_0_283,plain,
    ( cyclefreeP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_112 ).

cnf(c_0_284,plain,
    ( esk53_0 = esk58_0
    | ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_259]),c_0_260]),c_0_261])]) ).

cnf(c_0_285,plain,
    ( app(app(X1,cons(X2,X3)),cons(X4,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssList(X6)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ cyclefreeP(X6)
    | ~ leq(X4,X2)
    | ~ leq(X2,X4) ),
    i_0_173 ).

cnf(c_0_286,negated_conjecture,
    ( esk50_0 = nil
    | cyclefreeP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_269]),c_0_271]) ).

cnf(c_0_287,plain,
    ( esk53_0 = esk58_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_284,c_0_259]),c_0_249]),c_0_245])]) ).

cnf(c_0_288,plain,
    ( totalorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    i_0_121 ).

cnf(c_0_289,plain,
    ( ~ cyclefreeP(app(app(X1,cons(X2,X3)),cons(X4,X5)))
    | ~ leq(X4,X2)
    | ~ leq(X2,X4)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ ssList(app(app(X1,cons(X2,X3)),cons(X4,X5)))
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_285]) ).

cnf(c_0_290,negated_conjecture,
    cyclefreeP(esk50_0),
    inference(sr,[status(thm)],[c_0_286,c_0_270]) ).

cnf(c_0_291,negated_conjecture,
    leq(esk53_0,esk52_0),
    i_0_202 ).

cnf(c_0_292,plain,
    ( leq(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ totalorderedP(X6) ),
    i_0_17 ).

cnf(c_0_293,plain,
    esk53_0 = esk58_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_259]),c_0_249]),c_0_261])]) ).

cnf(c_0_294,negated_conjecture,
    ( esk50_0 = nil
    | totalorderedP(esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_269]),c_0_271]) ).

cnf(c_0_295,plain,
    ( ~ leq(esk52_0,esk53_0)
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk52_0,nil)) ),
    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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_273]),c_0_290]),c_0_291]),c_0_260]),c_0_249]),c_0_274]),c_0_252]),c_0_245]),c_0_246])]) ).

cnf(c_0_296,plain,
    ( leq(X1,X2)
    | ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_292]) ).

cnf(c_0_297,plain,
    ( app(app(esk54_0,cons(esk52_0,esk55_0)),cons(esk58_0,esk56_0)) = esk50_0
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_293]),c_0_293]),c_0_276]),c_0_274])]) ).

cnf(c_0_298,negated_conjecture,
    totalorderedP(esk50_0),
    inference(sr,[status(thm)],[c_0_294,c_0_270]) ).

cnf(c_0_299,plain,
    ( ~ leq(esk52_0,esk58_0)
    | ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_295,c_0_293]),c_0_293]),c_0_276]),c_0_274])]) ).

cnf(c_0_300,plain,
    ( ~ ssList(app(esk54_0,cons(esk52_0,esk55_0)))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(csr,[status(thm)],[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_297]),c_0_298]),c_0_277]),c_0_249]),c_0_274]),c_0_252]),c_0_245]),c_0_246])]),c_0_299]) ).

cnf(c_0_301,plain,
    ( ~ ssList(cons(esk52_0,nil))
    | ~ ssList(cons(esk52_0,esk55_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_254]),c_0_246])]) ).

cnf(c_0_302,plain,
    ~ ssList(cons(esk52_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_259]),c_0_249]),c_0_245])]) ).

cnf(c_0_303,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_302,c_0_259]),c_0_249]),c_0_261])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC152+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 03:46:56 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.32/2.46  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.32/2.46  # No SInE strategy applied
% 8.32/2.46  # Trying AutoSched0 for 150 seconds
% 8.32/2.46  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.32/2.46  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.32/2.46  #
% 8.32/2.46  # Preprocessing time       : 0.026 s
% 8.32/2.46  # Presaturation interreduction done
% 8.32/2.46  
% 8.32/2.46  # Proof found!
% 8.32/2.46  # SZS status Theorem
% 8.32/2.46  # SZS output start CNFRefutation
% See solution above
% 8.32/2.46  # Training examples: 0 positive, 0 negative
% 8.32/2.46  
% 8.32/2.46  # -------------------------------------------------
% 8.32/2.46  # User time                : 0.064 s
% 8.32/2.46  # System time              : 0.009 s
% 8.32/2.46  # Total time               : 0.072 s
% 8.32/2.46  # Maximum resident set size: 7124 pages
% 8.32/2.46  
%------------------------------------------------------------------------------