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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC377+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 17.02s 3.77s
% Output   : CNFRefutation 17.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   61 (  14 unt;  22 nHn;  61 RR)
%            Number of literals    :  170 (  37 equ;  90 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_203,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_203) ).

cnf(i_0_200,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_200) ).

cnf(i_0_192,negated_conjecture,
    ( app(cons(esk53_0,nil),esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_192) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_44) ).

cnf(i_0_193,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_193) ).

cnf(i_0_194,negated_conjecture,
    ( ssItem(esk53_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_194) ).

cnf(i_0_191,negated_conjecture,
    ( app(esk54_0,cons(esk53_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_191) ).

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-f4ztib14/input.p',i_0_154) ).

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-f4ztib14/input.p',i_0_73) ).

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-f4ztib14/input.p',i_0_75) ).

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-f4ztib14/input.p',i_0_74) ).

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-f4ztib14/input.p',i_0_76) ).

cnf(i_0_197,negated_conjecture,
    ( memberP(esk48_0,esk52_0)
    | memberP(esk49_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_197) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_199) ).

cnf(i_0_196,negated_conjecture,
    ( ~ memberP(esk48_0,esk52_0)
    | ~ memberP(esk49_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_196) ).

cnf(i_0_198,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_198) ).

cnf(i_0_195,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_195) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-f4ztib14/input.p',i_0_43) ).

cnf(c_0_223,negated_conjecture,
    ssList(esk49_0),
    i_0_203 ).

cnf(c_0_224,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_200 ).

cnf(c_0_225,negated_conjecture,
    ( app(cons(esk53_0,nil),esk54_0) = esk50_0
    | ~ neq(esk51_0,nil) ),
    i_0_192 ).

cnf(c_0_226,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_227,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_228,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_229,negated_conjecture,
    ( ssList(esk54_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_230,negated_conjecture,
    ( ssItem(esk53_0)
    | ~ neq(esk51_0,nil) ),
    i_0_194 ).

cnf(c_0_231,negated_conjecture,
    ( app(esk54_0,cons(esk53_0,nil)) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

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(cons(esk53_0,nil),esk54_0) = esk50_0
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226]),c_0_227]),c_0_228])]) ).

cnf(c_0_234,negated_conjecture,
    ( esk51_0 = nil
    | ssList(esk54_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_226]),c_0_227]),c_0_228])]) ).

cnf(c_0_235,negated_conjecture,
    ( esk51_0 = nil
    | ssItem(esk53_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_226]),c_0_227]),c_0_228])]) ).

cnf(c_0_236,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_73 ).

cnf(c_0_237,plain,
    ( app(esk54_0,cons(esk53_0,nil)) = esk51_0
    | esk51_0 = nil ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_226]),c_0_227]),c_0_228])]) ).

cnf(c_0_238,plain,
    ( memberP(X1,X2)
    | memberP(X3,X2)
    | ~ ssList(X1)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ memberP(app(X3,X1),X2) ),
    i_0_75 ).

cnf(c_0_239,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ ssItem(X3)
    | ~ memberP(X1,X3) ),
    i_0_74 ).

cnf(c_0_240,plain,
    ( memberP(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_76 ).

cnf(c_0_241,plain,
    ( cons(esk53_0,esk54_0) = esk50_0
    | esk51_0 = nil ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234]),c_0_235]) ).

cnf(c_0_242,plain,
    ( esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(cons(esk53_0,nil),X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_234]) ).

cnf(c_0_243,plain,
    ( esk51_0 = nil
    | memberP(cons(esk53_0,nil),X1)
    | memberP(esk54_0,X1)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_233]),c_0_234]) ).

cnf(c_0_244,plain,
    ( esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(esk54_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_237]),c_0_234]) ).

cnf(c_0_245,negated_conjecture,
    ( memberP(esk48_0,esk52_0)
    | memberP(esk49_0,esk52_0) ),
    i_0_197 ).

cnf(c_0_246,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_247,negated_conjecture,
    ( ~ memberP(esk48_0,esk52_0)
    | ~ memberP(esk49_0,esk52_0) ),
    i_0_196 ).

cnf(c_0_248,plain,
    ( esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(cons(esk53_0,nil),X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_233]),c_0_234]) ).

cnf(c_0_249,plain,
    ( esk51_0 = nil
    | memberP(cons(esk53_0,nil),X1)
    | memberP(esk54_0,X1)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_237]),c_0_234]) ).

cnf(c_0_250,plain,
    ( esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(esk54_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_234]),c_0_235]) ).

cnf(c_0_251,plain,
    ( esk51_0 = nil
    | memberP(esk51_0,X1)
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_243]),c_0_244]) ).

cnf(c_0_252,negated_conjecture,
    ( memberP(esk51_0,esk52_0)
    | memberP(esk50_0,esk52_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_246]),c_0_224]) ).

cnf(c_0_253,negated_conjecture,
    ssItem(esk52_0),
    i_0_198 ).

cnf(c_0_254,negated_conjecture,
    ( ~ memberP(esk50_0,esk52_0)
    | ~ memberP(esk51_0,esk52_0) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_246]),c_0_224]) ).

cnf(c_0_255,plain,
    ( esk51_0 = nil
    | memberP(esk50_0,X1)
    | ~ memberP(esk51_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]) ).

cnf(c_0_256,negated_conjecture,
    ( esk51_0 = nil
    | memberP(esk51_0,esk52_0)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]) ).

cnf(c_0_257,negated_conjecture,
    ( esk50_0 = nil
    | nil != esk51_0 ),
    i_0_195 ).

cnf(c_0_258,negated_conjecture,
    ( esk51_0 = nil
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_253])]),c_0_256]) ).

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

cnf(c_0_260,negated_conjecture,
    ( esk51_0 != nil
    | ~ memberP(nil,esk52_0)
    | ~ memberP(esk51_0,esk52_0) ),
    inference(spm,[status(thm)],[c_0_254,c_0_257]) ).

cnf(c_0_261,plain,
    esk51_0 = nil,
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_227])]),c_0_235]) ).

cnf(c_0_262,negated_conjecture,
    ( memberP(nil,esk52_0)
    | memberP(esk51_0,esk52_0)
    | esk51_0 != nil ),
    inference(spm,[status(thm)],[c_0_252,c_0_257]) ).

cnf(c_0_263,negated_conjecture,
    ~ memberP(nil,esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_260,c_0_261]),c_0_261])]) ).

cnf(c_0_264,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_261]),c_0_261])]),c_0_263]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWC377+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 20:15:39 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.02/3.77  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.02/3.77  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 50; version: 991; iters: 150)
% 17.02/3.77  # Preprocessing time       : 1.218 s
% 17.02/3.77  
% 17.02/3.77  # Proof found!
% 17.02/3.77  # SZS status Theorem
% 17.02/3.77  # SZS output start CNFRefutation
% See solution above
% 17.02/3.77  # Training examples: 0 positive, 0 negative
% 17.02/3.77  
% 17.02/3.77  # -------------------------------------------------
% 17.02/3.77  # User time                : 1.097 s
% 17.02/3.77  # System time              : 0.146 s
% 17.02/3.77  # Total time               : 1.243 s
% 17.02/3.77  # ...preprocessing         : 1.218 s
% 17.02/3.77  # ...main loop             : 0.024 s
% 17.02/3.77  # Maximum resident set size: 175872 pages
% 17.02/3.77  
%------------------------------------------------------------------------------