TSTP Solution File: SWC296+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC296+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 272.64s 36.31s
% Output   : CNFRefutation 272.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   58 (  21 unt;   2 nHn;  58 RR)
%            Number of literals    :  177 (  21 equ; 122 neg)
%            Maximal clause size   :    9 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   76 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_25) ).

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-qt43puvn/input.p',i_0_155) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_43) ).

cnf(i_0_196,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_196) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_202) ).

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-qt43puvn/input.p',i_0_59) ).

cnf(i_0_82,plain,
    ( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_82) ).

cnf(i_0_84,plain,
    ( ssList(esk29_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_84) ).

cnf(i_0_83,plain,
    ( ssList(esk30_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_83) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk54_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_197) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk53_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_198) ).

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-qt43puvn/input.p',i_0_154) ).

cnf(i_0_199,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    strictorderedP(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_200) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_205) ).

cnf(i_0_193,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | ~ lt(esk52_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_193) ).

cnf(i_0_195,negated_conjecture,
    ssItem(esk55_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_195) ).

cnf(i_0_191,negated_conjecture,
    ( ~ lt(esk52_0,esk55_0)
    | ~ lt(esk55_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_191) ).

cnf(i_0_194,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_194) ).

cnf(i_0_192,negated_conjecture,
    ( memberP(esk54_0,esk55_0)
    | ~ lt(esk55_0,esk52_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_192) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qt43puvn/input.p',i_0_44) ).

cnf(c_0_227,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_228,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_229,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_230,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk48_0,
    i_0_196 ).

cnf(c_0_231,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_232,plain,
    ( lt(X1,X2)
    | app(X3,app(cons(X1,X4),cons(X2,X5))) != X6
    | ~ strictorderedP(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229]),c_0_229]) ).

cnf(c_0_233,plain,
    ( app(cons(X1,X2),X3) = cons(X1,app(X2,X3))
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_234,plain,
    ( app(esk29_2(X1,X2),cons(X2,esk30_2(X1,X2))) = X1
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_82 ).

cnf(c_0_235,plain,
    ( ssList(esk29_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_84 ).

cnf(c_0_236,plain,
    ( ssList(esk30_2(X1,X2))
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ memberP(X1,X2) ),
    i_0_83 ).

cnf(c_0_237,negated_conjecture,
    app(app(esk53_0,cons(esk52_0,nil)),esk54_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_230,c_0_231]) ).

cnf(c_0_238,negated_conjecture,
    ssList(esk54_0),
    i_0_197 ).

cnf(c_0_239,negated_conjecture,
    ssList(esk53_0),
    i_0_198 ).

cnf(c_0_240,plain,
    ( lt(X1,X2)
    | app(X3,cons(X1,app(X4,cons(X2,X5)))) != X6
    | ~ strictorderedP(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X6)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_229]) ).

cnf(c_0_241,plain,
    ( lt(X1,X2)
    | app(X3,cons(X2,X4)) != X5
    | ~ memberP(X3,X1)
    | ~ strictorderedP(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_242,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_237,c_0_228]),c_0_238]),c_0_239])]) ).

cnf(c_0_243,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_244,negated_conjecture,
    ssItem(esk52_0),
    i_0_199 ).

cnf(c_0_245,plain,
    ( lt(X1,X2)
    | app(X3,cons(X1,X4)) != X5
    | ~ memberP(X4,X2)
    | ~ strictorderedP(X5)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(X5)
    | ~ ssList(X3)
    | ~ ssList(X4) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_234]),c_0_235]),c_0_236]) ).

cnf(c_0_246,plain,
    ( lt(X1,X2)
    | ~ memberP(X3,X1)
    | ~ strictorderedP(app(X3,cons(X2,X4)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(X3,cons(X2,X4)))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_241]) ).

cnf(c_0_247,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_242,c_0_243]),c_0_244]),c_0_238])]) ).

cnf(c_0_248,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_200 ).

cnf(c_0_249,negated_conjecture,
    ssList(esk50_0),
    i_0_205 ).

cnf(c_0_250,plain,
    ( lt(X1,X2)
    | ~ memberP(X3,X2)
    | ~ strictorderedP(app(X4,cons(X1,X3)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(X4,cons(X1,X3)))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_245]) ).

cnf(c_0_251,plain,
    ( lt(X1,esk52_0)
    | ~ memberP(esk53_0,X1)
    | ~ ssItem(X1)
    | ~ 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(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248]),c_0_244]),c_0_249]),c_0_238]),c_0_239])]) ).

cnf(c_0_252,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | ~ lt(esk52_0,esk55_0) ),
    i_0_193 ).

cnf(c_0_253,negated_conjecture,
    ssItem(esk55_0),
    i_0_195 ).

cnf(c_0_254,negated_conjecture,
    ( ~ lt(esk52_0,esk55_0)
    | ~ lt(esk55_0,esk52_0) ),
    i_0_191 ).

cnf(c_0_255,plain,
    ( lt(esk52_0,X1)
    | ~ memberP(esk54_0,X1)
    | ~ ssItem(X1)
    | ~ 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(spm,[status(thm)],[c_0_250,c_0_247]),c_0_248]),c_0_244]),c_0_249]),c_0_239]),c_0_238])]) ).

cnf(c_0_256,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | memberP(esk54_0,esk55_0) ),
    i_0_194 ).

cnf(c_0_257,negated_conjecture,
    ( ~ lt(esk52_0,esk55_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_252]),c_0_253])]),c_0_254]) ).

cnf(c_0_258,negated_conjecture,
    ( memberP(esk54_0,esk55_0)
    | ~ lt(esk55_0,esk52_0) ),
    i_0_192 ).

cnf(c_0_259,negated_conjecture,
    ( memberP(esk53_0,esk55_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_253])]),c_0_257]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ lt(esk55_0,esk52_0)
    | ~ ssList(cons(esk52_0,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_258]),c_0_253])]),c_0_257]) ).

cnf(c_0_261,plain,
    ~ ssList(cons(esk52_0,nil)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_259]),c_0_253])]),c_0_260]) ).

cnf(c_0_262,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_263,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_229]),c_0_244]),c_0_262])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWC296+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n005.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 12 04:52:25 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.47  # ENIGMATIC: Selected SinE mode:
% 0.21/0.48  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.48  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.48  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 272.64/36.31  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d60-l32000-e0.15+solo-mzr02:
% 272.64/36.31  # ENIGMA: LightGBM model '/export/starexec/sandbox2/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d60-l32000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 44; version: 991; iters: 150)
% 272.64/36.31  # Preprocessing time       : 2.924 s
% 272.64/36.31  
% 272.64/36.31  # Proof found!
% 272.64/36.31  # SZS status Theorem
% 272.64/36.31  # SZS output start CNFRefutation
% See solution above
% 272.64/36.31  # Training examples: 0 positive, 0 negative
% 272.64/36.31  
% 272.64/36.31  # -------------------------------------------------
% 272.64/36.31  # User time                : 2.591 s
% 272.64/36.31  # System time              : 0.370 s
% 272.64/36.31  # Total time               : 2.961 s
% 272.64/36.31  # ...preprocessing         : 2.924 s
% 272.64/36.31  # ...main loop             : 0.037 s
% 272.64/36.31  # Maximum resident set size: 561136 pages
% 272.64/36.31  
%------------------------------------------------------------------------------