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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC416+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 20:15:34 EDT 2022

% Result   : Theorem 7.82s 2.41s
% Output   : CNFRefutation 7.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   39 (  21 unt;   2 nHn;  39 RR)
%            Number of literals    :   86 (  27 equ;  53 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_191,negated_conjecture,
    ( app(cons(esk52_0,nil),esk50_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_191) ).

cnf(i_0_199,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_199) ).

cnf(i_0_200,negated_conjecture,
    esk49_0 = esk51_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_200) ).

cnf(i_0_198,negated_conjecture,
    neq(esk49_0,nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_198) ).

cnf(i_0_202,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_202) ).

cnf(i_0_193,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_193) ).

cnf(i_0_154,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_154) ).

cnf(i_0_195,negated_conjecture,
    ( esk49_0 != X1
    | hd(esk49_0) != X2
    | cons(X2,nil) != X3
    | app(X3,esk48_0) != X1
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_195) ).

cnf(i_0_55,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_55) ).

cnf(i_0_201,negated_conjecture,
    ssList(esk51_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_201) ).

cnf(i_0_53,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_53) ).

cnf(i_0_41,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_41) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_44) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3_g9zujy/lgb.p',i_0_43) ).

cnf(c_0_217,negated_conjecture,
    ( app(cons(esk52_0,nil),esk50_0) = esk51_0
    | ~ neq(esk51_0,nil) ),
    i_0_191 ).

cnf(c_0_218,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_199 ).

cnf(c_0_219,negated_conjecture,
    esk49_0 = esk51_0,
    i_0_200 ).

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

cnf(c_0_221,negated_conjecture,
    ssList(esk50_0),
    i_0_202 ).

cnf(c_0_222,negated_conjecture,
    ( ssItem(esk52_0)
    | ~ neq(esk51_0,nil) ),
    i_0_193 ).

cnf(c_0_223,negated_conjecture,
    app(cons(esk52_0,nil),esk48_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_217,c_0_218]),c_0_219]),c_0_219]),c_0_220])]) ).

cnf(c_0_224,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_225,negated_conjecture,
    ssList(esk48_0),
    inference(rw,[status(thm)],[c_0_221,c_0_218]) ).

cnf(c_0_226,negated_conjecture,
    ssItem(esk52_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_222,c_0_219]),c_0_220])]) ).

cnf(c_0_227,negated_conjecture,
    ( esk49_0 != X1
    | hd(esk49_0) != X2
    | cons(X2,nil) != X3
    | app(X3,esk48_0) != X1
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2)
    | ~ neq(nil,esk49_0)
    | ~ neq(esk51_0,nil) ),
    i_0_195 ).

cnf(c_0_228,plain,
    ( hd(cons(X1,X2)) = X1
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_55 ).

cnf(c_0_229,negated_conjecture,
    cons(esk52_0,esk48_0) = esk49_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225]),c_0_226])]) ).

cnf(c_0_230,negated_conjecture,
    ssList(esk51_0),
    i_0_201 ).

cnf(c_0_231,negated_conjecture,
    ( app(cons(hd(esk49_0),nil),esk48_0) != esk49_0
    | ~ ssList(app(cons(hd(esk49_0),nil),esk48_0))
    | ~ ssList(cons(hd(esk49_0),nil))
    | ~ ssItem(hd(esk49_0))
    | ~ neq(nil,esk49_0) ),
    inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_227,c_0_219]),c_0_220])])])])]) ).

cnf(c_0_232,plain,
    hd(esk49_0) = esk52_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_229]),c_0_225]),c_0_226])]) ).

cnf(c_0_233,negated_conjecture,
    ssList(esk49_0),
    inference(rw,[status(thm)],[c_0_230,c_0_219]) ).

cnf(c_0_234,plain,
    ( cons(X1,X2) != nil
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_53 ).

cnf(c_0_235,negated_conjecture,
    ( ~ ssList(cons(esk52_0,nil))
    | ~ neq(nil,esk49_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_231,c_0_232]),c_0_223]),c_0_232]),c_0_223]),c_0_233]),c_0_232]),c_0_232]),c_0_226])]) ).

cnf(c_0_236,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_41 ).

cnf(c_0_237,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_238,plain,
    esk49_0 != nil,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_229]),c_0_225]),c_0_226])]) ).

cnf(c_0_239,plain,
    ~ ssList(cons(esk52_0,nil)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_235,c_0_236]),c_0_233]),c_0_237])]),c_0_238]) ).

cnf(c_0_240,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_241,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_240]),c_0_237]),c_0_226])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWC416+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.34  % Computer : n013.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 : Sun Jun 12 23:07:15 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
% 7.82/2.41  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.82/2.41  # No SInE strategy applied
% 7.82/2.41  # Trying AutoSched0 for 150 seconds
% 7.82/2.41  # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S2S
% 7.82/2.41  # and selection function SelectNewComplexAHP.
% 7.82/2.41  #
% 7.82/2.41  # Preprocessing time       : 0.025 s
% 7.82/2.41  # Presaturation interreduction done
% 7.82/2.41  
% 7.82/2.41  # Proof found!
% 7.82/2.41  # SZS status Theorem
% 7.82/2.41  # SZS output start CNFRefutation
% See solution above
% 7.82/2.41  # Training examples: 0 positive, 0 negative
% 7.82/2.41  
% 7.82/2.41  # -------------------------------------------------
% 7.82/2.41  # User time                : 0.032 s
% 7.82/2.41  # System time              : 0.006 s
% 7.82/2.41  # Total time               : 0.038 s
% 7.82/2.41  # Maximum resident set size: 7128 pages
% 7.82/2.41  
%------------------------------------------------------------------------------