TSTP Solution File: SWC290+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC290+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 20:14:46 EDT 2022

% Result   : Theorem 17.42s 3.59s
% Output   : CNFRefutation 17.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   44 (  10 unt;  13 nHn;  44 RR)
%            Number of literals    :  150 (  19 equ;  96 neg)
%            Maximal clause size   :    8 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   65 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    ( lt(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_192) ).

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-l32gxocm/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-l32gxocm/input.p',i_0_154) ).

cnf(i_0_19,plain,
    ( app(app(esk13_1(X1),cons(esk11_1(X1),esk14_1(X1))),cons(esk12_1(X1),esk15_1(X1))) = X1
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_19) ).

cnf(i_0_20,plain,
    ( strictorderedP(X1)
    | ssList(esk15_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_20) ).

cnf(i_0_23,plain,
    ( strictorderedP(X1)
    | ssItem(esk12_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_23) ).

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-l32gxocm/input.p',i_0_81) ).

cnf(i_0_22,plain,
    ( strictorderedP(X1)
    | ssList(esk13_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_22) ).

cnf(i_0_21,plain,
    ( strictorderedP(X1)
    | ssList(esk14_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_21) ).

cnf(i_0_24,plain,
    ( strictorderedP(X1)
    | ssItem(esk11_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_24) ).

cnf(i_0_18,plain,
    ( strictorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk11_1(X1),esk12_1(X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_18) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_58) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_43) ).

cnf(i_0_191,negated_conjecture,
    ~ strictorderedP(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_191) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_194) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_44) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-l32gxocm/input.p',i_0_197) ).

cnf(c_0_215,negated_conjecture,
    ( lt(X1,X2)
    | app(app(X3,cons(X2,nil)),X4) != esk50_0
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ memberP(X3,X1) ),
    i_0_192 ).

cnf(c_0_216,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_217,plain,
    ( lt(X1,X2)
    | app(X3,app(cons(X2,nil),X4)) != esk50_0
    | ~ memberP(X3,X1)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_218,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_219,plain,
    ( lt(X1,X2)
    | app(X3,cons(X2,X4)) != esk50_0
    | ~ memberP(X3,X1)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(cons(X2,nil))
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(spm,[status(thm)],[c_0_217,c_0_218]) ).

cnf(c_0_220,plain,
    ( app(app(esk13_1(X1),cons(esk11_1(X1),esk14_1(X1))),cons(esk12_1(X1),esk15_1(X1))) = X1
    | strictorderedP(X1)
    | ~ ssList(X1) ),
    i_0_19 ).

cnf(c_0_221,plain,
    ( strictorderedP(X1)
    | ssList(esk15_1(X1))
    | ~ ssList(X1) ),
    i_0_20 ).

cnf(c_0_222,plain,
    ( strictorderedP(X1)
    | ssItem(esk12_1(X1))
    | ~ ssList(X1) ),
    i_0_23 ).

cnf(c_0_223,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_224,plain,
    ( lt(X1,esk12_1(X2))
    | strictorderedP(X2)
    | X2 != esk50_0
    | ~ memberP(app(esk13_1(X2),cons(esk11_1(X2),esk14_1(X2))),X1)
    | ~ ssItem(X1)
    | ~ ssList(app(esk13_1(X2),cons(esk11_1(X2),esk14_1(X2))))
    | ~ ssList(cons(esk12_1(X2),nil))
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]),c_0_222]) ).

cnf(c_0_225,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_223]) ).

cnf(c_0_226,plain,
    ( strictorderedP(X1)
    | ssList(esk13_1(X1))
    | ~ ssList(X1) ),
    i_0_22 ).

cnf(c_0_227,plain,
    ( strictorderedP(X1)
    | ssList(esk14_1(X1))
    | ~ ssList(X1) ),
    i_0_21 ).

cnf(c_0_228,plain,
    ( strictorderedP(X1)
    | ssItem(esk11_1(X1))
    | ~ ssList(X1) ),
    i_0_24 ).

cnf(c_0_229,plain,
    ( strictorderedP(X1)
    | ~ ssList(X1)
    | ~ lt(esk11_1(X1),esk12_1(X1)) ),
    i_0_18 ).

cnf(c_0_230,plain,
    ( strictorderedP(X1)
    | X1 != esk50_0
    | ~ ssList(app(esk13_1(X1),cons(esk11_1(X1),esk14_1(X1))))
    | ~ ssList(cons(esk12_1(X1),nil))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]),c_0_228]),c_0_229]) ).

cnf(c_0_231,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_232,plain,
    ( strictorderedP(X1)
    | X1 != esk50_0
    | ~ ssList(cons(esk11_1(X1),esk14_1(X1)))
    | ~ ssList(cons(esk12_1(X1),nil))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_231]),c_0_226]) ).

cnf(c_0_233,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_234,negated_conjecture,
    ~ strictorderedP(esk48_0),
    i_0_191 ).

cnf(c_0_235,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_194 ).

cnf(c_0_236,plain,
    ( strictorderedP(X1)
    | X1 != esk50_0
    | ~ ssList(cons(esk12_1(X1),nil))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_227]),c_0_228]) ).

cnf(c_0_237,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_238,negated_conjecture,
    ~ strictorderedP(esk50_0),
    inference(rw,[status(thm)],[c_0_234,c_0_235]) ).

cnf(c_0_239,plain,
    ( strictorderedP(X1)
    | X1 != esk50_0
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_233]),c_0_237])]),c_0_222]) ).

cnf(c_0_240,negated_conjecture,
    ssList(esk50_0),
    i_0_197 ).

cnf(c_0_241,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_240])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC290+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n013.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 13:20:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 17.42/3.59  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 17.42/3.59  # 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: 59; version: 991; iters: 150)
% 17.42/3.59  # Preprocessing time       : 1.177 s
% 17.42/3.59  
% 17.42/3.59  # Proof found!
% 17.42/3.59  # SZS status Theorem
% 17.42/3.59  # SZS output start CNFRefutation
% See solution above
% 17.42/3.59  # Training examples: 0 positive, 0 negative
% 17.42/3.59  
% 17.42/3.59  # -------------------------------------------------
% 17.42/3.59  # User time                : 1.084 s
% 17.42/3.59  # System time              : 0.151 s
% 17.42/3.59  # Total time               : 1.235 s
% 17.42/3.59  # ...preprocessing         : 1.177 s
% 17.42/3.59  # ...main loop             : 0.059 s
% 17.42/3.59  # Maximum resident set size: 174024 pages
% 17.42/3.59  
%------------------------------------------------------------------------------