TSTP Solution File: SWC007+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC007+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 20:13:01 EDT 2022

% Result   : Theorem 8.00s 2.43s
% Output   : CNFRefutation 8.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  11 unt;   0 nHn;  24 RR)
%            Number of literals    :   53 (  26 equ;  35 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_198,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_198) ).

cnf(i_0_192,negated_conjecture,
    esk48_0 = esk50_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_192) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = nil,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_194) ).

cnf(i_0_156,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_156) ).

cnf(i_0_191,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_191) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_60) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_159) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-weoeaeeo/lgb.p',i_0_197) ).

cnf(c_0_207,negated_conjecture,
    ssList(esk48_0),
    i_0_198 ).

cnf(c_0_208,negated_conjecture,
    esk48_0 = esk50_0,
    i_0_192 ).

cnf(c_0_209,negated_conjecture,
    esk50_0 = nil,
    i_0_194 ).

cnf(c_0_210,plain,
    ( app(X1,X2) = nil
    | nil != X1
    | nil != X2
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    i_0_156 ).

cnf(c_0_211,negated_conjecture,
    ssList(nil),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208]),c_0_209]) ).

cnf(c_0_212,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    i_0_191 ).

cnf(c_0_213,plain,
    ( app(X1,nil) = nil
    | nil != X1
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_210]),c_0_211])]) ).

cnf(c_0_214,negated_conjecture,
    ( app(app(X1,X2),X3) != esk49_0
    | app(X1,X3) != nil
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_208]),c_0_209]) ).

cnf(c_0_215,plain,
    app(nil,nil) = nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_213]),c_0_211])]) ).

cnf(c_0_216,negated_conjecture,
    ( app(app(nil,X1),nil) != esk49_0
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_211])]) ).

cnf(c_0_217,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_218,plain,
    ( app(X1,nil) != esk49_0
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_219,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_220,plain,
    ( X1 != esk49_0
    | ~ ssList(X1) ),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_221,negated_conjecture,
    ssList(esk49_0),
    i_0_197 ).

cnf(c_0_222,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_220]),c_0_221])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC007+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n012.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jun 11 23:06:43 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/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
% 8.00/2.43  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.00/2.43  # No SInE strategy applied
% 8.00/2.43  # Trying AutoSched0 for 150 seconds
% 8.00/2.43  # AutoSched0-Mode selected heuristic G_E___006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 8.00/2.43  # and selection function SelectNewComplexAHP.
% 8.00/2.43  #
% 8.00/2.43  # Preprocessing time       : 0.014 s
% 8.00/2.43  
% 8.00/2.43  # Proof found!
% 8.00/2.43  # SZS status Theorem
% 8.00/2.43  # SZS output start CNFRefutation
% See solution above
% 8.00/2.43  # Training examples: 0 positive, 0 negative
% 8.00/2.43  
% 8.00/2.43  # -------------------------------------------------
% 8.00/2.43  # User time                : 0.015 s
% 8.00/2.43  # System time              : 0.004 s
% 8.00/2.43  # Total time               : 0.020 s
% 8.00/2.43  # Maximum resident set size: 7128 pages
% 8.00/2.43  
%------------------------------------------------------------------------------