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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC153+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n008.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 8.00s 2.43s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   45 (  26 unt;   0 nHn;  45 RR)
%            Number of literals    :  118 (  16 equ;  78 neg)
%            Maximal clause size   :   10 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_195,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-zltrc5b7/lgb.p',i_0_195) ).

cnf(i_0_204,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_204) ).

cnf(i_0_61,plain,
    ( X1 = X2
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_61) ).

cnf(i_0_194,negated_conjecture,
    leq(esk53_0,esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_194) ).

cnf(i_0_199,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_200) ).

cnf(i_0_203,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_203) ).

cnf(i_0_196,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_196) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_198) ).

cnf(i_0_191,negated_conjecture,
    ( ~ leq(esk52_0,esk53_0)
    | ~ leq(esk52_0,esk57_0)
    | ~ leq(esk57_0,esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_191) ).

cnf(i_0_202,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X1,nil)),X4),cons(X5,nil)),X6) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssList(X4)
    | ~ ssItem(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X5,X1)
    | ~ memberP(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_202) ).

cnf(i_0_192,negated_conjecture,
    ( memberP(esk55_0,esk57_0)
    | ~ leq(esk52_0,esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_192) ).

cnf(i_0_193,negated_conjecture,
    ( ssItem(esk57_0)
    | ~ leq(esk52_0,esk53_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_193) ).

cnf(i_0_201,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X4,nil)),X5),cons(X2,nil)),X6) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X4)
    | ~ memberP(X5,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-zltrc5b7/lgb.p',i_0_201) ).

cnf(c_0_220,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk53_0,nil)),esk56_0) = esk48_0,
    i_0_195 ).

cnf(c_0_221,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_204 ).

cnf(c_0_222,plain,
    ( X1 = X2
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1)
    | ~ leq(X1,X2) ),
    i_0_61 ).

cnf(c_0_223,negated_conjecture,
    leq(esk53_0,esk52_0),
    i_0_194 ).

cnf(c_0_224,negated_conjecture,
    ssItem(esk53_0),
    i_0_199 ).

cnf(c_0_225,negated_conjecture,
    ssItem(esk52_0),
    i_0_200 ).

cnf(c_0_226,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X1,nil)),X4),cons(X2,nil)),X5) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X1) ),
    i_0_203 ).

cnf(c_0_227,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_220,c_0_221]) ).

cnf(c_0_228,negated_conjecture,
    ssList(esk56_0),
    i_0_196 ).

cnf(c_0_229,negated_conjecture,
    ssList(esk55_0),
    i_0_197 ).

cnf(c_0_230,negated_conjecture,
    ssList(esk54_0),
    i_0_198 ).

cnf(c_0_231,negated_conjecture,
    ( esk53_0 = esk52_0
    | ~ leq(esk52_0,esk53_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225])]) ).

cnf(c_0_232,negated_conjecture,
    leq(esk52_0,esk53_0),
    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(spm,[status(thm)],[c_0_226,c_0_227]),c_0_224]),c_0_225]),c_0_228]),c_0_229]),c_0_230]),c_0_223])]) ).

cnf(c_0_233,negated_conjecture,
    esk53_0 = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232])]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ leq(esk52_0,esk53_0)
    | ~ leq(esk52_0,esk57_0)
    | ~ leq(esk57_0,esk53_0) ),
    i_0_191 ).

cnf(c_0_235,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X1,nil)),X4),cons(X5,nil)),X6) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssList(X4)
    | ~ ssItem(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X5,X1)
    | ~ memberP(X4,X2) ),
    i_0_202 ).

cnf(c_0_236,negated_conjecture,
    app(app(app(app(esk54_0,cons(esk52_0,nil)),esk55_0),cons(esk52_0,nil)),esk56_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_227,c_0_233]) ).

cnf(c_0_237,negated_conjecture,
    leq(esk52_0,esk52_0),
    inference(rw,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_238,negated_conjecture,
    ( memberP(esk55_0,esk57_0)
    | ~ leq(esk52_0,esk53_0) ),
    i_0_192 ).

cnf(c_0_239,negated_conjecture,
    ( ssItem(esk57_0)
    | ~ leq(esk52_0,esk53_0) ),
    i_0_193 ).

cnf(c_0_240,negated_conjecture,
    ( ~ leq(esk52_0,esk57_0)
    | ~ leq(esk57_0,esk53_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_232])]) ).

cnf(c_0_241,negated_conjecture,
    ( leq(esk52_0,X1)
    | ~ memberP(esk55_0,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_225]),c_0_228]),c_0_229]),c_0_230]),c_0_237])]) ).

cnf(c_0_242,negated_conjecture,
    memberP(esk55_0,esk57_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_232])]) ).

cnf(c_0_243,negated_conjecture,
    ssItem(esk57_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_232])]) ).

cnf(c_0_244,negated_conjecture,
    ( leq(X1,X2)
    | app(app(app(app(X3,cons(X4,nil)),X5),cons(X2,nil)),X6) != esk50_0
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssItem(X4)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X2,X4)
    | ~ memberP(X5,X1) ),
    i_0_201 ).

cnf(c_0_245,negated_conjecture,
    ( ~ leq(esk52_0,esk57_0)
    | ~ leq(esk57_0,esk52_0) ),
    inference(rw,[status(thm)],[c_0_240,c_0_233]) ).

cnf(c_0_246,negated_conjecture,
    leq(esk52_0,esk57_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_243])]) ).

cnf(c_0_247,negated_conjecture,
    ( leq(X1,esk52_0)
    | ~ memberP(esk55_0,X1)
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_236]),c_0_225]),c_0_228]),c_0_229]),c_0_230]),c_0_237])]) ).

cnf(c_0_248,negated_conjecture,
    ~ leq(esk57_0,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246])]) ).

cnf(c_0_249,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_242]),c_0_243])]),c_0_248]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWC153+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n008.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sun Jun 12 10:16:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.43  # ENIGMATIC: Selected SinE mode:
% 0.19/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.00/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.43  # No SInE strategy applied
% 8.00/2.43  # Trying AutoSched0 for 150 seconds
% 8.00/2.43  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 8.00/2.43  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.00/2.43  #
% 8.00/2.43  # Preprocessing time       : 0.019 s
% 8.00/2.43  # Presaturation interreduction done
% 8.00/2.43  
% 8.00/2.43  # Proof found!
% 8.00/2.43  # SZS status Theorem
% 8.00/2.43  # SZS output start CNFRefutation
% See solution above
% 8.00/2.43  # Training examples: 0 positive, 0 negative
% 8.00/2.43  
% 8.00/2.43  # -------------------------------------------------
% 8.00/2.43  # User time                : 0.026 s
% 8.00/2.43  # System time              : 0.003 s
% 8.00/2.43  # Total time               : 0.029 s
% 8.00/2.43  # Maximum resident set size: 7120 pages
% 8.00/2.43  
%------------------------------------------------------------------------------