TSTP Solution File: SWC376+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC376+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 20:15:18 EDT 2022

% Result   : Theorem 17.72s 3.71s
% Output   : CNFRefutation 17.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   86 (  17 unt;  37 nHn;  86 RR)
%            Number of literals    :  364 (  74 equ; 237 neg)
%            Maximal clause size   :   11 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   91 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( esk51_0 = X1
    | hd(esk50_0) != X2
    | tl(esk50_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk50_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_191) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_58) ).

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-jni6usw4/input.p',i_0_155) ).

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-jni6usw4/input.p',i_0_154) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_147) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_200) ).

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-jni6usw4/input.p',i_0_74) ).

cnf(i_0_75,plain,
    ( memberP(X1,X2)
    | memberP(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ memberP(app(X3,X1),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_75) ).

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-jni6usw4/input.p',i_0_73) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_201) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_198) ).

cnf(i_0_76,plain,
    ( memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_76) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_44) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_41) ).

cnf(i_0_56,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_56) ).

cnf(i_0_194,negated_conjecture,
    ( ~ memberP(esk48_0,esk52_0)
    | ~ memberP(esk49_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_194) ).

cnf(i_0_197,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_197) ).

cnf(i_0_54,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_54) ).

cnf(i_0_195,negated_conjecture,
    ( memberP(esk48_0,esk52_0)
    | memberP(esk49_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_196) ).

cnf(i_0_192,negated_conjecture,
    ( neq(esk50_0,nil)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_192) ).

cnf(i_0_193,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_193) ).

cnf(i_0_42,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jni6usw4/input.p',i_0_42) ).

cnf(c_0_226,negated_conjecture,
    ( esk51_0 = X1
    | hd(esk50_0) != X2
    | tl(esk50_0) != X3
    | app(X3,X4) != X1
    | cons(X2,nil) != X4
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk50_0)
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_227,negated_conjecture,
    ( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssItem(hd(esk50_0))
    | ~ ssList(app(tl(esk50_0),cons(hd(esk50_0),nil)))
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_226])])])]) ).

cnf(c_0_228,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_229,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_230,plain,
    ( app(tl(esk50_0),cons(hd(esk50_0),nil)) = esk51_0
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssItem(hd(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_231,plain,
    ( app(tl(esk50_0),app(cons(hd(esk50_0),nil),X1)) = app(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssItem(hd(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_232,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_233,plain,
    ( app(tl(esk50_0),cons(hd(esk50_0),X1)) = app(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssItem(hd(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_234,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    i_0_200 ).

cnf(c_0_236,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ memberP(X1,X3) ),
    i_0_74 ).

cnf(c_0_237,plain,
    ( memberP(X1,X2)
    | memberP(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ memberP(app(X3,X1),X2) ),
    i_0_75 ).

cnf(c_0_238,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_73 ).

cnf(c_0_239,plain,
    ( app(tl(esk50_0),esk50_0) = app(esk51_0,tl(esk50_0))
    | esk50_0 = nil
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ ssItem(hd(esk50_0))
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235])]) ).

cnf(c_0_240,negated_conjecture,
    ssList(esk49_0),
    i_0_201 ).

cnf(c_0_241,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_198 ).

cnf(c_0_242,plain,
    ( memberP(cons(X1,X2),X3)
    | ~ memberP(cons(X1,nil),X3)
    | ~ ssItem(X3)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_236,c_0_232]) ).

cnf(c_0_243,plain,
    ( memberP(cons(hd(esk50_0),nil),X1)
    | memberP(tl(esk50_0),X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_237,c_0_230]) ).

cnf(c_0_244,plain,
    ( esk50_0 = nil
    | memberP(app(esk51_0,tl(esk50_0)),X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_235])]) ).

cnf(c_0_245,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_240,c_0_241]) ).

cnf(c_0_246,plain,
    ( memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_76 ).

cnf(c_0_247,plain,
    ( memberP(cons(hd(esk50_0),X1),X2)
    | memberP(tl(esk50_0),X2)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X2)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X2)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_242,c_0_243]) ).

cnf(c_0_248,plain,
    ( memberP(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(tl(esk50_0),X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_236,c_0_230]) ).

cnf(c_0_249,plain,
    ( esk50_0 = nil
    | memberP(tl(esk50_0),X1)
    | memberP(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_244]),c_0_245])]) ).

cnf(c_0_250,plain,
    ( nil = X1
    | memberP(X1,X2)
    | ~ memberP(tl(X1),X2)
    | ~ ssItem(hd(X1))
    | ~ ssItem(X2)
    | ~ ssList(tl(X1))
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_246,c_0_234]) ).

cnf(c_0_251,plain,
    ( esk50_0 = nil
    | memberP(tl(esk50_0),X1)
    | memberP(esk50_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_234]),c_0_235])]) ).

cnf(c_0_252,plain,
    ( esk50_0 = nil
    | memberP(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(spm,[status(thm)],[c_0_248,c_0_249]) ).

cnf(c_0_253,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_254,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_255,plain,
    ( esk50_0 = nil
    | memberP(esk50_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(cons(hd(esk50_0),nil))
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_251]),c_0_235])]) ).

cnf(c_0_256,plain,
    ( esk50_0 = nil
    | memberP(esk51_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254])]) ).

cnf(c_0_257,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_258,plain,
    ( esk50_0 = nil
    | memberP(esk50_0,X1)
    | ~ neq(esk51_0,nil)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_253]),c_0_254])]) ).

cnf(c_0_259,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_254]),c_0_245])]) ).

cnf(c_0_260,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ neq(nil,esk50_0)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_257]),c_0_254]),c_0_245])]) ).

cnf(c_0_261,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_257]),c_0_235]),c_0_254])]) ).

cnf(c_0_262,plain,
    ( nil = X1
    | ssList(tl(X1))
    | ~ ssList(X1) ),
    i_0_56 ).

cnf(c_0_263,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1)
    | ~ ssList(tl(esk50_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_260,c_0_257]),c_0_235]),c_0_254])]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ memberP(esk48_0,esk52_0)
    | ~ memberP(esk49_0,esk52_0) ),
    i_0_194 ).

cnf(c_0_265,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_197 ).

cnf(c_0_266,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_235])]) ).

cnf(c_0_267,plain,
    ( nil = X1
    | ssItem(hd(X1))
    | ~ ssList(X1) ),
    i_0_54 ).

cnf(c_0_268,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(hd(esk50_0))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_262]),c_0_235])]) ).

cnf(c_0_269,negated_conjecture,
    ( memberP(esk48_0,esk52_0)
    | memberP(esk49_0,esk52_0) ),
    i_0_195 ).

cnf(c_0_270,negated_conjecture,
    ( ~ memberP(esk50_0,esk52_0)
    | ~ memberP(esk51_0,esk52_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_265]),c_0_241]) ).

cnf(c_0_271,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_235])]) ).

cnf(c_0_272,negated_conjecture,
    ssItem(esk52_0),
    i_0_196 ).

cnf(c_0_273,plain,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_267]),c_0_235])]) ).

cnf(c_0_274,negated_conjecture,
    ( memberP(esk50_0,esk52_0)
    | memberP(esk51_0,esk52_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_269,c_0_265]),c_0_241]) ).

cnf(c_0_275,negated_conjecture,
    ( esk50_0 = nil
    | esk51_0 = nil
    | ~ memberP(esk50_0,esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271]),c_0_272])]) ).

cnf(c_0_276,negated_conjecture,
    ( esk50_0 = nil
    | esk51_0 = nil
    | memberP(esk50_0,esk52_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_274]),c_0_272])]) ).

cnf(c_0_277,negated_conjecture,
    ( neq(esk50_0,nil)
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_278,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_193 ).

cnf(c_0_279,negated_conjecture,
    ( esk50_0 = nil
    | esk51_0 = nil ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

cnf(c_0_280,plain,
    ( X1 != X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ neq(X1,X2) ),
    i_0_42 ).

cnf(c_0_281,negated_conjecture,
    ( esk51_0 = nil
    | neq(esk50_0,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_257]),c_0_254]),c_0_245])]) ).

cnf(c_0_282,negated_conjecture,
    esk50_0 = nil,
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_283,plain,
    ( ~ neq(X1,X1)
    | ~ ssList(X1) ),
    inference(er,[status(thm)],[c_0_280]) ).

cnf(c_0_284,negated_conjecture,
    ( esk51_0 = nil
    | neq(nil,nil) ),
    inference(rw,[status(thm)],[c_0_281,c_0_282]) ).

cnf(c_0_285,plain,
    esk51_0 = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_254])]) ).

cnf(c_0_286,negated_conjecture,
    ~ memberP(nil,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_270,c_0_282]),c_0_285])]) ).

cnf(c_0_287,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_282]),c_0_285])]),c_0_286]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC376+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n021.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 11:20:42 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.72/3.71  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l8000-e0.15+coop-eprover73:
% 17.72/3.71  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 72; version: 991; iters: 150)
% 17.72/3.71  # Preprocessing time       : 1.174 s
% 17.72/3.71  # Presaturation interreduction done
% 17.72/3.71  
% 17.72/3.71  # Proof found!
% 17.72/3.71  # SZS status Theorem
% 17.72/3.71  # SZS output start CNFRefutation
% See solution above
% 17.72/3.71  # Training examples: 0 positive, 0 negative
% 17.72/3.71  
% 17.72/3.71  # -------------------------------------------------
% 17.72/3.71  # User time                : 1.127 s
% 17.72/3.71  # System time              : 0.143 s
% 17.72/3.71  # Total time               : 1.270 s
% 17.72/3.71  # ...preprocessing         : 1.174 s
% 17.72/3.71  # ...main loop             : 0.096 s
% 17.72/3.71  # Maximum resident set size: 185828 pages
% 17.72/3.71  
%------------------------------------------------------------------------------