TSTP Solution File: SWC160+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC160+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 20:13:59 EDT 2022

% Result   : Theorem 8.42s 2.48s
% Output   : CNFRefutation 8.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   57 (  27 unt;   3 nHn;  57 RR)
%            Number of literals    :  139 (  23 equ;  85 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   45 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_196,negated_conjecture,
    app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_196) ).

cnf(i_0_206,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_206) ).

cnf(i_0_155,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_155) ).

cnf(i_0_198,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_198) ).

cnf(i_0_199,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_199) ).

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-3yzn9ai1/lgb.p',i_0_154) ).

cnf(i_0_201,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_201) ).

cnf(i_0_197,negated_conjecture,
    ssList(esk57_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_197) ).

cnf(i_0_25,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_25) ).

cnf(i_0_200,negated_conjecture,
    ssItem(esk54_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_200) ).

cnf(i_0_211,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_211) ).

cnf(i_0_177,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_177) ).

cnf(i_0_195,negated_conjecture,
    leq(esk54_0,esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_195) ).

cnf(i_0_203,negated_conjecture,
    strictorderedP(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_203) ).

cnf(i_0_69,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_69) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_58) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_43) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_44) ).

cnf(i_0_174,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-3yzn9ai1/lgb.p',i_0_174) ).

cnf(c_0_231,negated_conjecture,
    app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk48_0,
    i_0_196 ).

cnf(c_0_232,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_206 ).

cnf(c_0_233,negated_conjecture,
    app(app(app(app(esk55_0,cons(esk53_0,nil)),esk56_0),cons(esk54_0,nil)),esk57_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_231,c_0_232]) ).

cnf(c_0_234,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk56_0),
    i_0_198 ).

cnf(c_0_236,negated_conjecture,
    ssList(esk55_0),
    i_0_199 ).

cnf(c_0_237,negated_conjecture,
    ( app(app(app(esk55_0,app(cons(esk53_0,nil),esk56_0)),cons(esk54_0,nil)),esk57_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_234]),c_0_235]),c_0_236])]) ).

cnf(c_0_238,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_239,negated_conjecture,
    ssItem(esk53_0),
    i_0_201 ).

cnf(c_0_240,plain,
    ( app(app(app(esk55_0,cons(esk53_0,esk56_0)),cons(esk54_0,nil)),esk57_0) = esk50_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_239]),c_0_235])]) ).

cnf(c_0_241,negated_conjecture,
    ssList(esk57_0),
    i_0_197 ).

cnf(c_0_242,plain,
    ( lt(X1,X2)
    | app(app(X3,cons(X1,X4)),cons(X2,X5)) != X6
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3)
    | ~ ssList(X6)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ strictorderedP(X6) ),
    i_0_25 ).

cnf(c_0_243,plain,
    ( app(app(esk55_0,cons(esk53_0,esk56_0)),app(cons(esk54_0,nil),esk57_0)) = esk50_0
    | ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
    | ~ ssList(cons(esk54_0,nil))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_240]),c_0_241])]) ).

cnf(c_0_244,negated_conjecture,
    ssItem(esk54_0),
    i_0_200 ).

cnf(c_0_245,negated_conjecture,
    ssList(esk48_0),
    i_0_211 ).

cnf(c_0_246,plain,
    ( X1 = X2
    | lt(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ leq(X1,X2) ),
    i_0_177 ).

cnf(c_0_247,negated_conjecture,
    leq(esk54_0,esk53_0),
    i_0_195 ).

cnf(c_0_248,plain,
    ( lt(X1,X2)
    | ~ strictorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssItem(X2)
    | ~ ssItem(X1)
    | ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
    | ~ ssList(X5)
    | ~ ssList(X4)
    | ~ ssList(X3) ),
    inference(er,[status(thm)],[c_0_242]) ).

cnf(c_0_249,plain,
    ( app(app(esk55_0,cons(esk53_0,esk56_0)),cons(esk54_0,esk57_0)) = esk50_0
    | ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
    | ~ ssList(cons(esk54_0,nil))
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_238]),c_0_244]),c_0_241])]) ).

cnf(c_0_250,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_203 ).

cnf(c_0_251,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_245,c_0_232]) ).

cnf(c_0_252,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    i_0_69 ).

cnf(c_0_253,negated_conjecture,
    ( esk54_0 = esk53_0
    | lt(esk54_0,esk53_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_239]),c_0_244])]) ).

cnf(c_0_254,plain,
    ( lt(esk53_0,esk54_0)
    | ~ ssList(app(esk55_0,cons(esk53_0,esk56_0)))
    | ~ ssList(cons(esk54_0,nil))
    | ~ ssList(cons(esk53_0,nil)) ),
    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(spm,[status(thm)],[c_0_248,c_0_249]),c_0_250]),c_0_244]),c_0_239]),c_0_251]),c_0_241]),c_0_235]),c_0_236])]) ).

cnf(c_0_255,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_256,plain,
    ( esk54_0 = esk53_0
    | ~ lt(esk53_0,esk54_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_244]),c_0_239])]) ).

cnf(c_0_257,plain,
    ( lt(esk53_0,esk54_0)
    | ~ ssList(cons(esk54_0,nil))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk53_0,esk56_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_254,c_0_255]),c_0_236])]) ).

cnf(c_0_258,plain,
    ( esk54_0 = esk53_0
    | ~ ssList(cons(esk54_0,nil))
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk53_0,esk56_0)) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

cnf(c_0_259,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_260,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_261,plain,
    ( esk54_0 = esk53_0
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk53_0,esk56_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_244]),c_0_260])]) ).

cnf(c_0_262,plain,
    ( esk54_0 = esk53_0
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_259]),c_0_239]),c_0_235])]) ).

cnf(c_0_263,plain,
    esk54_0 = esk53_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_259]),c_0_239]),c_0_260])]) ).

cnf(c_0_264,plain,
    ( ~ ssItem(X1)
    | ~ lt(X1,X1) ),
    i_0_174 ).

cnf(c_0_265,plain,
    ( lt(esk53_0,esk53_0)
    | ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk53_0,esk56_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_257,c_0_263]),c_0_263])]) ).

cnf(c_0_266,plain,
    ( ~ ssList(cons(esk53_0,nil))
    | ~ ssList(cons(esk53_0,esk56_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_239])]) ).

cnf(c_0_267,plain,
    ~ ssList(cons(esk53_0,nil)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_259]),c_0_239]),c_0_235])]) ).

cnf(c_0_268,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_259]),c_0_239]),c_0_260])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC160+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.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 23:40:35 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.42/2.48  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.42/2.48  # No SInE strategy applied
% 8.42/2.48  # Trying AutoSched0 for 150 seconds
% 8.42/2.48  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
% 8.42/2.48  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.42/2.48  #
% 8.42/2.48  # Preprocessing time       : 0.015 s
% 8.42/2.48  # Presaturation interreduction done
% 8.42/2.48  
% 8.42/2.48  # Proof found!
% 8.42/2.48  # SZS status Theorem
% 8.42/2.48  # SZS output start CNFRefutation
% See solution above
% 8.42/2.48  # Training examples: 0 positive, 0 negative
% 8.42/2.48  
% 8.42/2.48  # -------------------------------------------------
% 8.42/2.48  # User time                : 0.034 s
% 8.42/2.48  # System time              : 0.007 s
% 8.42/2.48  # Total time               : 0.041 s
% 8.42/2.48  # Maximum resident set size: 7128 pages
% 8.42/2.48  
%------------------------------------------------------------------------------