TSTP Solution File: SWC008+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n029.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 10.80s 3.27s
% Output   : CNFRefutation 10.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  17 unt;   0 nHn;  27 RR)
%            Number of literals    :   56 (  18 equ;  34 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_192,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_192) ).

cnf(i_0_195,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_195) ).

cnf(i_0_196,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_196) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_199) ).

cnf(i_0_159,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_159) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_44) ).

cnf(i_0_114,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_114) ).

cnf(i_0_194,negated_conjecture,
    frontsegP(esk51_0,esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_194) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_198) ).

cnf(i_0_115,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-hq42e2qr/lgb.p',i_0_115) ).

cnf(c_0_210,negated_conjecture,
    ( app(X1,X2) != esk48_0
    | app(app(X1,X3),X2) != esk49_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    i_0_192 ).

cnf(c_0_211,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_195 ).

cnf(c_0_212,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_196 ).

cnf(c_0_213,negated_conjecture,
    ssList(esk49_0),
    i_0_199 ).

cnf(c_0_214,negated_conjecture,
    ( app(app(X1,X2),X3) != esk51_0
    | app(X1,X3) != esk50_0
    | ~ ssList(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_211]),c_0_212]) ).

cnf(c_0_215,plain,
    ( app(X1,nil) = X1
    | ~ ssList(X1) ),
    i_0_159 ).

cnf(c_0_216,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_217,plain,
    ( app(X1,esk32_2(X2,X1)) = X2
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X2,X1) ),
    i_0_114 ).

cnf(c_0_218,negated_conjecture,
    frontsegP(esk51_0,esk50_0),
    i_0_194 ).

cnf(c_0_219,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_213,c_0_212]) ).

cnf(c_0_220,negated_conjecture,
    ssList(esk50_0),
    i_0_198 ).

cnf(c_0_221,plain,
    ( ssList(esk32_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ frontsegP(X1,X2) ),
    i_0_115 ).

cnf(c_0_222,plain,
    ( app(app(X1,X2),nil) != esk51_0
    | X1 != esk50_0
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_216])]) ).

cnf(c_0_223,negated_conjecture,
    app(esk50_0,esk32_2(esk51_0,esk50_0)) = esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_220])]) ).

cnf(c_0_224,negated_conjecture,
    ssList(esk32_2(esk51_0,esk50_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_218]),c_0_220]),c_0_219])]) ).

cnf(c_0_225,negated_conjecture,
    app(esk51_0,nil) != esk51_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]),c_0_220])]) ).

cnf(c_0_226,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_215]),c_0_219])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SWC008+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n029.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jun 12 07:39:41 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.16/0.42  # ENIGMATIC: Selected SinE mode:
% 0.16/0.43  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.43  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.16/0.43  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.16/0.43  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 10.80/3.27  # ENIGMATIC: Solved by autoschedule-lgb:
% 10.80/3.27  # No SInE strategy applied
% 10.80/3.27  # Trying AutoSched0 for 150 seconds
% 10.80/3.27  # AutoSched0-Mode selected heuristic G_E___008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 10.80/3.27  # and selection function SelectCQIPrecWNTNp.
% 10.80/3.27  #
% 10.80/3.27  # Preprocessing time       : 0.021 s
% 10.80/3.27  
% 10.80/3.27  # Proof found!
% 10.80/3.27  # SZS status Theorem
% 10.80/3.27  # SZS output start CNFRefutation
% See solution above
% 10.80/3.27  # Training examples: 0 positive, 0 negative
% 10.80/3.27  
% 10.80/3.27  # -------------------------------------------------
% 10.80/3.27  # User time                : 0.026 s
% 10.80/3.27  # System time              : 0.003 s
% 10.80/3.27  # Total time               : 0.029 s
% 10.80/3.27  # Maximum resident set size: 7120 pages
% 10.80/3.27  
%------------------------------------------------------------------------------