TSTP Solution File: SWC046+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC046+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 20:13:16 EDT 2022

% Result   : Theorem 9.82s 2.80s
% Output   : CNFRefutation 9.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   49 (  14 unt;  18 nHn;  49 RR)
%            Number of literals    :  119 (  43 equ;  63 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   48 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_144,plain,
    ( nil = X1
    | tl(X1) = esk35_1(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_144) ).

cnf(i_0_198,negated_conjecture,
    esk49_0 = nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_198) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_53) ).

cnf(i_0_57,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_57) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_43) ).

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-m_j9z72k/lgb.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-m_j9z72k/lgb.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-m_j9z72k/lgb.p',i_0_51) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.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-m_j9z72k/lgb.p',i_0_77) ).

cnf(i_0_145,plain,
    ( nil = X1
    | ssList(esk35_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_145) ).

cnf(i_0_192,negated_conjecture,
    ( memberP(esk51_0,X1)
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_192) ).

cnf(i_0_197,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_197) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_202) ).

cnf(i_0_196,negated_conjecture,
    esk48_0 = esk50_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_196) ).

cnf(i_0_195,negated_conjecture,
    esk48_0 != nil,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-m_j9z72k/lgb.p',i_0_195) ).

cnf(c_0_219,plain,
    ( nil = X1
    | tl(X1) = esk35_1(X1)
    | ~ ssList(X1) ),
    i_0_144 ).

cnf(c_0_220,negated_conjecture,
    esk49_0 = nil,
    i_0_198 ).

cnf(c_0_221,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_222,plain,
    ( tl(X1) = esk35_1(X1)
    | esk49_0 = X1
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_219,c_0_220]) ).

cnf(c_0_223,plain,
    ( tl(cons(X1,X2)) = X2
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_57 ).

cnf(c_0_224,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_225,plain,
    ( cons(X1,X2) != esk49_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_221,c_0_220]) ).

cnf(c_0_226,plain,
    ( nil = X1
    | cons(esk26_1(X1),esk25_1(X1)) = X1
    | ~ ssList(X1) ),
    i_0_50 ).

cnf(c_0_227,plain,
    ( nil = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    i_0_52 ).

cnf(c_0_228,plain,
    ( nil = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    i_0_51 ).

cnf(c_0_229,plain,
    ( esk35_1(cons(X1,X2)) = X2
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_225]) ).

cnf(c_0_230,plain,
    ( cons(esk26_1(X1),esk25_1(X1)) = X1
    | esk49_0 = X1
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_226,c_0_220]) ).

cnf(c_0_231,plain,
    ( esk49_0 = X1
    | ssList(esk25_1(X1))
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_227,c_0_220]) ).

cnf(c_0_232,plain,
    ( esk49_0 = X1
    | ssItem(esk26_1(X1))
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_228,c_0_220]) ).

cnf(c_0_233,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_234,plain,
    ( memberP(cons(X1,X2),X3)
    | X3 != X1
    | ~ ssList(X2)
    | ~ ssItem(X1)
    | ~ ssItem(X3) ),
    i_0_77 ).

cnf(c_0_235,plain,
    ( esk25_1(X1) = esk35_1(X1)
    | esk49_0 = X1
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230]),c_0_231]),c_0_232]) ).

cnf(c_0_236,plain,
    ( nil = X1
    | ssList(esk35_1(X1))
    | ~ ssList(X1) ),
    i_0_145 ).

cnf(c_0_237,negated_conjecture,
    ( memberP(esk51_0,X1)
    | ~ ssItem(X1)
    | ~ memberP(esk50_0,X1) ),
    i_0_192 ).

cnf(c_0_238,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_197 ).

cnf(c_0_239,plain,
    ( ~ memberP(esk49_0,X1)
    | ~ ssItem(X1) ),
    inference(rw,[status(thm)],[c_0_233,c_0_220]) ).

cnf(c_0_240,plain,
    ( memberP(cons(X1,X2),X1)
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(er,[status(thm)],[c_0_234]) ).

cnf(c_0_241,plain,
    ( cons(esk26_1(X1),esk35_1(X1)) = X1
    | esk49_0 = X1
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_230,c_0_235]) ).

cnf(c_0_242,plain,
    ( esk49_0 = X1
    | ssList(esk35_1(X1))
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_236,c_0_220]) ).

cnf(c_0_243,negated_conjecture,
    ssList(esk48_0),
    i_0_202 ).

cnf(c_0_244,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_196 ).

cnf(c_0_245,negated_conjecture,
    esk48_0 != nil,
    i_0_195 ).

cnf(c_0_246,negated_conjecture,
    ( ~ memberP(esk50_0,X1)
    | ~ ssItem(X1) ),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_238]),c_0_239]) ).

cnf(c_0_247,plain,
    ( esk49_0 = X1
    | memberP(X1,esk26_1(X1))
    | ~ ssList(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),c_0_232]) ).

cnf(c_0_248,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_243,c_0_244]) ).

cnf(c_0_249,negated_conjecture,
    esk50_0 != esk49_0,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_244]),c_0_220]) ).

cnf(c_0_250,negated_conjecture,
    ~ ssItem(esk26_1(esk50_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_248])]),c_0_249]) ).

cnf(c_0_251,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_232]),c_0_248])]),c_0_249]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC046+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 00:39:25 EDT 2022
% 0.12/0.34  % 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
% 9.82/2.80  # ENIGMATIC: Solved by autoschedule-lgb:
% 9.82/2.80  # No SInE strategy applied
% 9.82/2.80  # Trying AutoSched0 for 150 seconds
% 9.82/2.80  # AutoSched0-Mode selected heuristic G_E___207_C01_F1_SE_CS_SP_PI_S0Y
% 9.82/2.80  # and selection function SelectMaxLComplexAvoidPosPred.
% 9.82/2.80  #
% 9.82/2.80  # Preprocessing time       : 0.024 s
% 9.82/2.80  
% 9.82/2.80  # Proof found!
% 9.82/2.80  # SZS status Theorem
% 9.82/2.80  # SZS output start CNFRefutation
% See solution above
% 9.82/2.80  # Training examples: 0 positive, 0 negative
% 9.82/2.80  
% 9.82/2.80  # -------------------------------------------------
% 9.82/2.80  # User time                : 0.054 s
% 9.82/2.80  # System time              : 0.014 s
% 9.82/2.80  # Total time               : 0.067 s
% 9.82/2.80  # Maximum resident set size: 7120 pages
% 9.82/2.80  
%------------------------------------------------------------------------------