TSTP Solution File: SWC297+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 20:14:49 EDT 2022

% Result   : Theorem 9.25s 2.55s
% Output   : CNFRefutation 9.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  156 (  43 unt;  21 nHn; 156 RR)
%            Number of literals    :  401 ( 146 equ; 233 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :  138 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_200) ).

cnf(i_0_204,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_204) ).

cnf(i_0_157,plain,
    ( nil = X1
    | app(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_157) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_201) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_58) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_202) ).

cnf(i_0_158,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/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-i2lfi1sm/lgb.p',i_0_43) ).

cnf(i_0_203,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_203) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/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-i2lfi1sm/lgb.p',i_0_45) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_41) ).

cnf(i_0_194,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_194) ).

cnf(i_0_206,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_206) ).

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-i2lfi1sm/lgb.p',i_0_155) ).

cnf(i_0_192,negated_conjecture,
    ( cons(esk56_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_192) ).

cnf(i_0_193,negated_conjecture,
    ( ssItem(esk56_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_193) ).

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-i2lfi1sm/lgb.p',i_0_81) ).

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-i2lfi1sm/lgb.p',i_0_154) ).

cnf(i_0_209,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_209) ).

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-i2lfi1sm/lgb.p',i_0_78) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_79) ).

cnf(i_0_148,plain,
    ( X1 = X2
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_148) ).

cnf(i_0_73,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_73) ).

cnf(i_0_198,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    ssItem(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_199) ).

cnf(i_0_74,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ memberP(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_74) ).

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-i2lfi1sm/lgb.p',i_0_59) ).

cnf(i_0_113,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_113) ).

cnf(i_0_153,plain,
    ( X1 = X2
    | app(X3,X1) != app(X3,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_153) ).

cnf(i_0_91,plain,
    ( X1 = X2
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ frontsegP(cons(X1,X4),cons(X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_91) ).

cnf(i_0_57,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_57) ).

cnf(i_0_50,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_50) ).

cnf(i_0_52,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_52) ).

cnf(i_0_51,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_51) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_159) ).

cnf(i_0_86,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1)
    | ~ frontsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_86) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-i2lfi1sm/lgb.p',i_0_60) ).

cnf(c_0_248,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    i_0_200 ).

cnf(c_0_249,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_204 ).

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

cnf(c_0_251,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_252,negated_conjecture,
    ssList(esk54_0),
    i_0_201 ).

cnf(c_0_253,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(app(esk53_0,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,negated_conjecture,
    ssList(esk53_0),
    i_0_202 ).

cnf(c_0_256,plain,
    ( nil = X1
    | app(X2,X1) != nil
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_158 ).

cnf(c_0_257,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_253,c_0_254]),c_0_255])]) ).

cnf(c_0_258,plain,
    ( cons(esk52_0,nil) = nil
    | esk50_0 != nil
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_255])]) ).

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

cnf(c_0_260,negated_conjecture,
    ssItem(esk52_0),
    i_0_203 ).

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

cnf(c_0_262,plain,
    ( cons(X1,X2) != X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_45 ).

cnf(c_0_263,plain,
    ( cons(esk52_0,nil) = nil
    | esk50_0 != nil ),
    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_264,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_265,plain,
    esk50_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_263]),c_0_260]),c_0_261])]) ).

cnf(c_0_266,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_194 ).

cnf(c_0_267,plain,
    ( X1 = nil
    | neq(X1,nil)
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_264,c_0_261]) ).

cnf(c_0_268,negated_conjecture,
    ssList(esk51_0),
    i_0_206 ).

cnf(c_0_269,negated_conjecture,
    esk51_0 != nil,
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_270,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_271,negated_conjecture,
    ( cons(esk56_0,nil) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_272,negated_conjecture,
    neq(esk51_0,nil),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_268]),c_0_269]) ).

cnf(c_0_273,negated_conjecture,
    ( ssItem(esk56_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_274,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_275,negated_conjecture,
    ( app(esk53_0,app(cons(esk52_0,nil),esk54_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_251,c_0_270]),c_0_252]),c_0_255])]) ).

cnf(c_0_276,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_277,negated_conjecture,
    ssList(esk48_0),
    i_0_209 ).

cnf(c_0_278,plain,
    ( X1 = X2
    | memberP(X3,X2)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(cons(X1,X3),X2) ),
    i_0_78 ).

cnf(c_0_279,negated_conjecture,
    cons(esk56_0,nil) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272])]) ).

cnf(c_0_280,negated_conjecture,
    ssItem(esk56_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_272])]) ).

cnf(c_0_281,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_282,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_274]) ).

cnf(c_0_283,plain,
    ( app(esk53_0,cons(esk52_0,esk54_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_275,c_0_276]),c_0_260]),c_0_252])]) ).

cnf(c_0_284,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_277,c_0_249]) ).

cnf(c_0_285,plain,
    ( esk56_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_278,c_0_279]),c_0_280]),c_0_261])]),c_0_281]) ).

cnf(c_0_286,plain,
    ( memberP(esk50_0,esk52_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)],[inference(spm,[status(thm)],[c_0_282,c_0_283]),c_0_260]),c_0_284]),c_0_252]),c_0_255])]) ).

cnf(c_0_287,plain,
    ( esk56_0 = esk52_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_286]),c_0_260])]) ).

cnf(c_0_288,plain,
    esk56_0 = esk52_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_260]),c_0_261])]) ).

cnf(c_0_289,negated_conjecture,
    cons(esk52_0,nil) = esk50_0,
    inference(rw,[status(thm)],[c_0_279,c_0_288]) ).

cnf(c_0_290,plain,
    ( X1 = X2
    | app(X1,X3) != app(X2,X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    i_0_148 ).

cnf(c_0_291,plain,
    ( app(esk50_0,X1) = cons(esk56_0,X1)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_279]),c_0_280])]) ).

cnf(c_0_292,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_73 ).

cnf(c_0_293,negated_conjecture,
    app(app(esk53_0,esk50_0),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_251,c_0_289]) ).

cnf(c_0_294,plain,
    ( X1 = esk50_0
    | app(X1,X2) != cons(esk56_0,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_284])]) ).

cnf(c_0_295,plain,
    ( memberP(esk50_0,X1)
    | ~ memberP(esk54_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(app(esk53_0,esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_293]),c_0_252])]) ).

cnf(c_0_296,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    i_0_198 ).

cnf(c_0_297,negated_conjecture,
    ssItem(esk55_0),
    i_0_199 ).

cnf(c_0_298,negated_conjecture,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | cons(esk56_0,esk54_0) != esk50_0
    | ~ ssList(app(esk53_0,cons(esk52_0,nil))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_294,c_0_251]),c_0_252])]) ).

cnf(c_0_299,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ memberP(X1,X3) ),
    i_0_74 ).

cnf(c_0_300,plain,
    app(esk53_0,cons(esk52_0,esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_283,c_0_289]),c_0_284])]) ).

cnf(c_0_301,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk50_0,esk55_0)
    | ~ ssList(app(esk53_0,esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_295,c_0_296]),c_0_297])]) ).

cnf(c_0_302,plain,
    ( app(esk53_0,cons(esk52_0,nil)) = esk50_0
    | cons(esk56_0,esk54_0) != esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_254]),c_0_255])]) ).

cnf(c_0_303,plain,
    ( memberP(esk50_0,X1)
    | ~ memberP(esk53_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_300]),c_0_255])]) ).

cnf(c_0_304,plain,
    ( memberP(esk50_0,esk55_0)
    | memberP(esk53_0,esk55_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_254]),c_0_284]),c_0_255])]) ).

cnf(c_0_305,negated_conjecture,
    ( app(esk50_0,esk54_0) = esk50_0
    | cons(esk56_0,esk54_0) != esk50_0
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(spm,[status(thm)],[c_0_251,c_0_302]) ).

cnf(c_0_306,plain,
    ( esk52_0 = X1
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_285,c_0_288]) ).

cnf(c_0_307,plain,
    ( memberP(esk50_0,esk55_0)
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_304]),c_0_297])]) ).

cnf(c_0_308,negated_conjecture,
    app(esk53_0,app(esk50_0,esk54_0)) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_289]),c_0_289]),c_0_284])]) ).

cnf(c_0_309,negated_conjecture,
    ( app(esk50_0,esk54_0) = esk50_0
    | cons(esk52_0,esk54_0) != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_305,c_0_288]),c_0_289]),c_0_284])]) ).

cnf(c_0_310,plain,
    ( esk52_0 = esk55_0
    | ~ ssList(cons(esk52_0,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_307]),c_0_297])]) ).

cnf(c_0_311,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_312,negated_conjecture,
    ( app(esk53_0,esk50_0) = esk50_0
    | cons(esk52_0,esk54_0) != esk50_0 ),
    inference(spm,[status(thm)],[c_0_308,c_0_309]) ).

cnf(c_0_313,plain,
    esk52_0 = esk55_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_259]),c_0_260]),c_0_252])]) ).

cnf(c_0_314,plain,
    ( app(esk53_0,cons(esk52_0,app(nil,esk54_0))) = esk50_0
    | ~ 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_275,c_0_311]),c_0_260]),c_0_252]),c_0_261])]) ).

cnf(c_0_315,plain,
    ( frontsegP(X1,X2)
    | app(X2,X3) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_113 ).

cnf(c_0_316,plain,
    ( X1 = X2
    | app(X3,X1) != app(X3,X2)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    i_0_153 ).

cnf(c_0_317,negated_conjecture,
    ( app(esk53_0,esk50_0) = esk50_0
    | cons(esk55_0,esk54_0) != esk50_0 ),
    inference(rw,[status(thm)],[c_0_312,c_0_313]) ).

cnf(c_0_318,plain,
    app(esk53_0,cons(esk52_0,app(nil,esk54_0))) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_314,c_0_289]),c_0_284])]) ).

cnf(c_0_319,plain,
    ( X1 = X2
    | ~ ssList(X3)
    | ~ ssList(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ frontsegP(cons(X1,X4),cons(X2,X3)) ),
    i_0_91 ).

cnf(c_0_320,plain,
    ( frontsegP(app(X1,X2),X1)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_315]),c_0_254]) ).

cnf(c_0_321,plain,
    ( X1 = esk50_0
    | cons(esk55_0,esk54_0) != esk50_0
    | app(esk53_0,X1) != esk50_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_317]),c_0_255]),c_0_284])]) ).

cnf(c_0_322,plain,
    app(esk53_0,cons(esk55_0,app(nil,esk54_0))) = esk50_0,
    inference(rw,[status(thm)],[c_0_318,c_0_313]) ).

cnf(c_0_323,plain,
    ( esk56_0 = X1
    | ~ frontsegP(esk50_0,cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_279]),c_0_280]),c_0_261])]) ).

cnf(c_0_324,plain,
    ( frontsegP(esk50_0,esk53_0)
    | ~ ssList(app(cons(esk52_0,nil),esk54_0))
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_275]),c_0_255])]) ).

cnf(c_0_325,plain,
    ( cons(esk55_0,app(nil,esk54_0)) = esk50_0
    | cons(esk55_0,esk54_0) != esk50_0
    | ~ ssList(cons(esk55_0,app(nil,esk54_0))) ),
    inference(spm,[status(thm)],[c_0_321,c_0_322]) ).

cnf(c_0_326,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_57 ).

cnf(c_0_327,plain,
    ( esk52_0 = X1
    | ~ frontsegP(esk50_0,cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_323,c_0_288]) ).

cnf(c_0_328,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    i_0_50 ).

cnf(c_0_329,plain,
    ( frontsegP(esk50_0,esk53_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_254]),c_0_252])]) ).

cnf(c_0_330,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    i_0_52 ).

cnf(c_0_331,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    i_0_51 ).

cnf(c_0_332,plain,
    ( cons(esk55_0,app(nil,esk54_0)) = esk50_0
    | cons(esk55_0,esk54_0) != esk50_0
    | ~ ssList(app(nil,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_325,c_0_259]),c_0_297])]) ).

cnf(c_0_333,plain,
    tl(esk50_0) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_279]),c_0_280]),c_0_261])]) ).

cnf(c_0_334,plain,
    ( app(esk50_0,X1) = cons(esk52_0,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_291,c_0_288]) ).

cnf(c_0_335,plain,
    ( esk55_0 = X1
    | ~ frontsegP(esk50_0,cons(X1,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_327,c_0_313]) ).

cnf(c_0_336,negated_conjecture,
    ( cons(esk26_1(esk53_0),esk25_1(esk53_0)) = esk53_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_328,c_0_255]) ).

cnf(c_0_337,plain,
    frontsegP(esk50_0,esk53_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_329,c_0_289]),c_0_284])]) ).

cnf(c_0_338,negated_conjecture,
    ( esk53_0 = nil
    | ssList(esk25_1(esk53_0)) ),
    inference(spm,[status(thm)],[c_0_330,c_0_255]) ).

cnf(c_0_339,negated_conjecture,
    ( esk53_0 = nil
    | ssItem(esk26_1(esk53_0)) ),
    inference(spm,[status(thm)],[c_0_331,c_0_255]) ).

cnf(c_0_340,plain,
    ( X1 = app(esk50_0,esk54_0)
    | app(esk53_0,X1) != esk50_0
    | ~ ssList(app(esk50_0,esk54_0))
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_308]),c_0_255])]) ).

cnf(c_0_341,plain,
    ( app(nil,esk54_0) = nil
    | cons(esk55_0,esk54_0) != esk50_0
    | ~ ssList(app(nil,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_332]),c_0_333]),c_0_297])]) ).

cnf(c_0_342,plain,
    ( app(esk50_0,X1) = cons(esk55_0,X1)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_334,c_0_313]) ).

cnf(c_0_343,negated_conjecture,
    ( esk26_1(esk53_0) = esk55_0
    | esk53_0 = nil ),
    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_336]),c_0_337])]),c_0_338]),c_0_339]) ).

cnf(c_0_344,plain,
    ( X1 = app(esk50_0,esk54_0)
    | app(esk53_0,X1) != esk50_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_340,c_0_254]),c_0_252]),c_0_284])]) ).

cnf(c_0_345,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_346,plain,
    ( app(nil,esk54_0) = nil
    | cons(esk55_0,esk54_0) != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_341,c_0_254]),c_0_252]),c_0_261])]) ).

cnf(c_0_347,plain,
    ( frontsegP(cons(esk55_0,X1),esk50_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_320,c_0_342]),c_0_284])]) ).

cnf(c_0_348,negated_conjecture,
    ( cons(esk55_0,esk25_1(esk53_0)) = esk53_0
    | esk53_0 = nil ),
    inference(spm,[status(thm)],[c_0_336,c_0_343]) ).

cnf(c_0_349,plain,
    ( app(esk50_0,esk54_0) = nil
    | esk53_0 != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_345]),c_0_261]),c_0_255])]) ).

cnf(c_0_350,plain,
    ( cons(esk55_0,app(nil,esk54_0)) = app(esk50_0,esk54_0)
    | ~ ssList(cons(esk55_0,app(nil,esk54_0))) ),
    inference(spm,[status(thm)],[c_0_344,c_0_322]) ).

cnf(c_0_351,plain,
    ( cons(esk55_0,esk54_0) != esk50_0
    | ~ memberP(esk54_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_292,c_0_346]),c_0_252]),c_0_261])]),c_0_281]) ).

cnf(c_0_352,plain,
    ( X1 = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1)
    | ~ frontsegP(X1,X2) ),
    i_0_86 ).

cnf(c_0_353,plain,
    ( esk53_0 = nil
    | frontsegP(esk53_0,esk50_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_348]),c_0_338]) ).

cnf(c_0_354,plain,
    esk53_0 != esk50_0,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_349]),c_0_252]),c_0_284])]),c_0_265]) ).

cnf(c_0_355,plain,
    ( cons(esk55_0,app(nil,esk54_0)) = app(esk50_0,esk54_0)
    | ~ ssList(app(nil,esk54_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_259]),c_0_297])]) ).

cnf(c_0_356,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_357,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | cons(esk55_0,esk54_0) != esk50_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_296]),c_0_297])]) ).

cnf(c_0_358,plain,
    esk53_0 = nil,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_353]),c_0_337]),c_0_255]),c_0_284])]),c_0_354]) ).

cnf(c_0_359,plain,
    app(esk53_0,cons(esk55_0,esk54_0)) = esk50_0,
    inference(rw,[status(thm)],[c_0_300,c_0_313]) ).

cnf(c_0_360,plain,
    app(esk50_0,esk54_0) = cons(esk55_0,esk54_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_252])]) ).

cnf(c_0_361,negated_conjecture,
    ( memberP(nil,esk55_0)
    | cons(esk55_0,esk54_0) != esk50_0 ),
    inference(rw,[status(thm)],[c_0_357,c_0_358]) ).

cnf(c_0_362,plain,
    app(nil,cons(esk55_0,esk54_0)) = esk50_0,
    inference(rw,[status(thm)],[c_0_359,c_0_358]) ).

cnf(c_0_363,plain,
    ssList(cons(esk55_0,esk54_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_360]),c_0_252]),c_0_284])]) ).

cnf(c_0_364,plain,
    cons(esk55_0,esk54_0) != esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_361]),c_0_297])]) ).

cnf(c_0_365,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_362]),c_0_363])]),c_0_364]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC297+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 11:58:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 9.25/2.55  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.25/2.55  # No SInE strategy applied
% 9.25/2.55  # Trying AutoSched0 for 150 seconds
% 9.25/2.55  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 9.25/2.55  # and selection function SelectComplexExceptUniqMaxHorn.
% 9.25/2.55  #
% 9.25/2.55  # Preprocessing time       : 0.025 s
% 9.25/2.55  # Presaturation interreduction done
% 9.25/2.55  
% 9.25/2.55  # Proof found!
% 9.25/2.55  # SZS status Theorem
% 9.25/2.55  # SZS output start CNFRefutation
% See solution above
% 9.25/2.55  # Training examples: 0 positive, 0 negative
% 9.25/2.55  
% 9.25/2.55  # -------------------------------------------------
% 9.25/2.55  # User time                : 0.228 s
% 9.25/2.55  # System time              : 0.015 s
% 9.25/2.55  # Total time               : 0.243 s
% 9.25/2.55  # Maximum resident set size: 7120 pages
% 9.25/2.55  
%------------------------------------------------------------------------------