TSTP Solution File: SWC408+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 20:15:30 EDT 2022

% Result   : Theorem 7.91s 2.40s
% Output   : CNFRefutation 7.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   36 (  24 unt;   0 nHn;  36 RR)
%            Number of literals    :   71 (  11 equ;  38 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_130,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_130) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_58) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk49_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_199) ).

cnf(i_0_195,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_195) ).

cnf(i_0_192,negated_conjecture,
    memberP(esk49_0,esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_192) ).

cnf(i_0_196,negated_conjecture,
    app(esk51_0,esk51_0) = esk50_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_196) ).

cnf(i_0_200,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_200) ).

cnf(i_0_194,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_194) ).

cnf(i_0_73,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_73) ).

cnf(i_0_193,negated_conjecture,
    ssItem(esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_193) ).

cnf(i_0_131,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_131) ).

cnf(i_0_132,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_132) ).

cnf(i_0_191,negated_conjecture,
    ~ memberP(esk48_0,esk52_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3q7zyqs9/lgb.p',i_0_191) ).

cnf(c_0_214,plain,
    ( rearsegP(X1,X2)
    | app(X3,X2) != X1
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssList(X3) ),
    i_0_130 ).

cnf(c_0_215,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_216,negated_conjecture,
    ssList(esk49_0),
    i_0_199 ).

cnf(c_0_217,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_195 ).

cnf(c_0_218,negated_conjecture,
    memberP(esk49_0,esk52_0),
    i_0_192 ).

cnf(c_0_219,plain,
    ( rearsegP(app(X1,X2),X2)
    | ~ ssList(X1)
    | ~ ssList(X2) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_214]),c_0_215]) ).

cnf(c_0_220,negated_conjecture,
    app(esk51_0,esk51_0) = esk50_0,
    i_0_196 ).

cnf(c_0_221,negated_conjecture,
    ssList(esk51_0),
    inference(rw,[status(thm)],[c_0_216,c_0_217]) ).

cnf(c_0_222,negated_conjecture,
    ssList(esk48_0),
    i_0_200 ).

cnf(c_0_223,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_194 ).

cnf(c_0_224,plain,
    ( memberP(app(X1,X2),X3)
    | ~ ssList(X1)
    | ~ ssList(X2)
    | ~ ssItem(X3)
    | ~ memberP(X2,X3) ),
    i_0_73 ).

cnf(c_0_225,negated_conjecture,
    memberP(esk51_0,esk52_0),
    inference(rw,[status(thm)],[c_0_218,c_0_217]) ).

cnf(c_0_226,negated_conjecture,
    ssItem(esk52_0),
    i_0_193 ).

cnf(c_0_227,plain,
    ( app(esk33_2(X1,X2),X2) = X1
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_131 ).

cnf(c_0_228,negated_conjecture,
    rearsegP(esk50_0,esk51_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221])]) ).

cnf(c_0_229,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_222,c_0_223]) ).

cnf(c_0_230,plain,
    ( ssList(esk33_2(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1)
    | ~ rearsegP(X1,X2) ),
    i_0_132 ).

cnf(c_0_231,negated_conjecture,
    ~ memberP(esk48_0,esk52_0),
    i_0_191 ).

cnf(c_0_232,negated_conjecture,
    ( memberP(app(X1,esk51_0),esk52_0)
    | ~ ssList(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_221]),c_0_226])]) ).

cnf(c_0_233,plain,
    app(esk33_2(esk50_0,esk51_0),esk51_0) = esk50_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_221]),c_0_229])]) ).

cnf(c_0_234,plain,
    ssList(esk33_2(esk50_0,esk51_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_228]),c_0_221]),c_0_229])]) ).

cnf(c_0_235,negated_conjecture,
    ~ memberP(esk50_0,esk52_0),
    inference(rw,[status(thm)],[c_0_231,c_0_223]) ).

cnf(c_0_236,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_232,c_0_233]),c_0_234])]),c_0_235]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 12 15:42:11 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.91/2.40  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.91/2.40  # No SInE strategy applied
% 7.91/2.40  # Trying AutoSched0 for 150 seconds
% 7.91/2.40  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.91/2.40  # and selection function SelectNewComplexAHP.
% 7.91/2.40  #
% 7.91/2.40  # Preprocessing time       : 0.024 s
% 7.91/2.40  # Presaturation interreduction done
% 7.91/2.40  
% 7.91/2.40  # Proof found!
% 7.91/2.40  # SZS status Theorem
% 7.91/2.40  # SZS output start CNFRefutation
% See solution above
% 7.91/2.40  # Training examples: 0 positive, 0 negative
% 7.91/2.40  
% 7.91/2.40  # -------------------------------------------------
% 7.91/2.40  # User time                : 0.031 s
% 7.91/2.40  # System time              : 0.007 s
% 7.91/2.40  # Total time               : 0.037 s
% 7.91/2.40  # Maximum resident set size: 7128 pages
% 7.91/2.40  
%------------------------------------------------------------------------------