TSTP Solution File: SWC045+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC045+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 20:13:15 EDT 2022

% Result   : Theorem 21.09s 4.16s
% Output   : CNFRefutation 21.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of clauses     :   63 (  19 unt;   7 nHn;  63 RR)
%            Number of literals    :  173 (  47 equ; 111 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   75 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_200,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_200) ).

cnf(i_0_197,negated_conjecture,
    esk49_0 = nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_197) ).

cnf(i_0_196,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_196) ).

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-8xam2q6a/input.p',i_0_155) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_60) ).

cnf(i_0_191,negated_conjecture,
    ( segmentP(esk51_0,app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil)))
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_191) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_156) ).

cnf(i_0_111,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_111) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_58) ).

cnf(i_0_59,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_59) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_43) ).

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-8xam2q6a/input.p',i_0_81) ).

cnf(i_0_192,negated_conjecture,
    ( ssList(esk52_1(X1))
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_192) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_79) ).

cnf(i_0_77,plain,
    ( memberP(cons(X1,X2),X3)
    | X3 != X1
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_77) ).

cnf(i_0_50,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_50) ).

cnf(i_0_52,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_52) ).

cnf(i_0_51,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_51) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_201) ).

cnf(i_0_195,negated_conjecture,
    esk48_0 = esk50_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_195) ).

cnf(i_0_194,negated_conjecture,
    esk48_0 != nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-8xam2q6a/input.p',i_0_194) ).

cnf(c_0_223,negated_conjecture,
    ssList(esk49_0),
    i_0_200 ).

cnf(c_0_224,negated_conjecture,
    esk49_0 = nil,
    i_0_197 ).

cnf(c_0_225,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_196 ).

cnf(c_0_226,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_227,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

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

cnf(c_0_229,negated_conjecture,
    ( segmentP(esk51_0,app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil)))
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    i_0_191 ).

cnf(c_0_230,negated_conjecture,
    esk51_0 = nil,
    inference(rw,[status(thm)],[c_0_225,c_0_224]) ).

cnf(c_0_231,plain,
    ( app(nil,app(X1,X2)) = app(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228])]) ).

cnf(c_0_232,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_233,plain,
    ( nil = X1
    | ~ ssList(X1)
    | ~ segmentP(nil,X1) ),
    i_0_111 ).

cnf(c_0_234,negated_conjecture,
    ( segmentP(nil,app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil)))
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_235,plain,
    ( app(nil,nil) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_236,negated_conjecture,
    ( app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil)) = nil
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil))) ),
    inference(spm,[status(thm)],[c_0_233,c_0_234]) ).

cnf(c_0_237,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_238,plain,
    ( cons(X1,app(X2,X3)) = app(cons(X1,X2),X3)
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssItem(X1) ),
    i_0_59 ).

cnf(c_0_239,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_240,negated_conjecture,
    ( app(nil,nil) = nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_235,c_0_228]) ).

cnf(c_0_241,plain,
    ( memberP(X1,X2)
    | app(X3,cons(X2,X4)) != X1
    | ~ ssList(X1)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssItem(X2) ),
    i_0_81 ).

cnf(c_0_242,negated_conjecture,
    ( app(app(cons(X1,nil),esk52_1(X1)),cons(X1,nil)) = nil
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(app(cons(X1,nil),esk52_1(X1)))
    | ~ ssList(cons(X1,nil)) ),
    inference(spm,[status(thm)],[c_0_236,c_0_237]) ).

cnf(c_0_243,negated_conjecture,
    ( ssList(esk52_1(X1))
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    i_0_192 ).

cnf(c_0_244,plain,
    ( ssList(cons(X1,app(X2,X3)))
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).

cnf(c_0_245,negated_conjecture,
    app(nil,nil) = nil,
    inference(spm,[status(thm)],[c_0_240,c_0_228]) ).

cnf(c_0_246,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_241]) ).

cnf(c_0_247,plain,
    ( app(cons(X1,app(nil,esk52_1(X1))),cons(X1,nil)) = nil
    | ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,app(nil,esk52_1(X1))))
    | ~ ssList(cons(X1,nil)) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_238]),c_0_228])]),c_0_243]) ).

cnf(c_0_248,negated_conjecture,
    ( ssList(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_245]),c_0_228])]) ).

cnf(c_0_249,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_250,plain,
    ( memberP(cons(X1,X2),X3)
    | X3 != X1
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    i_0_77 ).

cnf(c_0_251,plain,
    ( ~ memberP(esk50_0,X1)
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,app(nil,esk52_1(X1)))) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_228])]),c_0_248]),c_0_249]) ).

cnf(c_0_252,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_250]) ).

cnf(c_0_253,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    i_0_50 ).

cnf(c_0_254,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    i_0_52 ).

cnf(c_0_255,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    i_0_51 ).

cnf(c_0_256,negated_conjecture,
    ssList(esk48_0),
    i_0_201 ).

cnf(c_0_257,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_195 ).

cnf(c_0_258,negated_conjecture,
    esk48_0 != nil,
    i_0_194 ).

cnf(c_0_259,plain,
    ( ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_244]),c_0_228])]),c_0_243]) ).

cnf(c_0_260,plain,
    ( nil = X1
    | memberP(X1,esk26_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255]) ).

cnf(c_0_261,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_262,negated_conjecture,
    esk50_0 != nil,
    inference(rw,[status(thm)],[c_0_258,c_0_257]) ).

cnf(c_0_263,plain,
    ~ ssItem(esk26_1(esk50_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_260]),c_0_261])]),c_0_262]) ).

cnf(c_0_264,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_255]),c_0_261])]),c_0_262]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWC045+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n015.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 12:34:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 21.09/4.16  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 21.09/4.16  # 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: 75; version: 991; iters: 150)
% 21.09/4.16  # Preprocessing time       : 1.214 s
% 21.09/4.16  
% 21.09/4.16  # Proof found!
% 21.09/4.16  # SZS status Theorem
% 21.09/4.16  # SZS output start CNFRefutation
% See solution above
% 21.09/4.16  # Training examples: 0 positive, 0 negative
% 21.09/4.16  
% 21.09/4.16  # -------------------------------------------------
% 21.09/4.16  # User time                : 1.204 s
% 21.09/4.16  # System time              : 0.139 s
% 21.09/4.16  # Total time               : 1.342 s
% 21.09/4.16  # ...preprocessing         : 1.214 s
% 21.09/4.16  # ...main loop             : 0.128 s
% 21.09/4.16  # Maximum resident set size: 179060 pages
% 21.09/4.16  
%------------------------------------------------------------------------------