TSTP Solution File: SWC175+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC175+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 20:14:05 EDT 2022

% Result   : Theorem 8.61s 2.39s
% Output   : CNFRefutation 8.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   47 (  25 unt;   3 nHn;  47 RR)
%            Number of literals    :  113 (  17 equ;  70 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   44 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_193,negated_conjecture,
    app(app(app(esk55_0,cons(esk53_0,nil)),cons(esk54_0,nil)),esk56_0) = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_193) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_202) ).

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-b0fklpaj/lgb.p',i_0_155) ).

cnf(i_0_194,negated_conjecture,
    ssList(esk56_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_194) ).

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-b0fklpaj/lgb.p',i_0_25) ).

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-b0fklpaj/lgb.p',i_0_154) ).

cnf(i_0_196,negated_conjecture,
    ssItem(esk54_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_196) ).

cnf(i_0_207,negated_conjecture,
    ssList(esk48_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_207) ).

cnf(i_0_199,negated_conjecture,
    strictorderedP(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_199) ).

cnf(i_0_197,negated_conjecture,
    ssItem(esk53_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_197) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_44) ).

cnf(i_0_195,negated_conjecture,
    ssList(esk55_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_195) ).

cnf(i_0_58,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_58) ).

cnf(i_0_48,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_48) ).

cnf(i_0_69,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_69) ).

cnf(i_0_192,negated_conjecture,
    ~ neq(esk53_0,esk54_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_192) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-b0fklpaj/lgb.p',i_0_43) ).

cnf(c_0_225,negated_conjecture,
    app(app(app(esk55_0,cons(esk53_0,nil)),cons(esk54_0,nil)),esk56_0) = esk48_0,
    i_0_193 ).

cnf(c_0_226,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_227,negated_conjecture,
    app(app(app(esk55_0,cons(esk53_0,nil)),cons(esk54_0,nil)),esk56_0) = esk50_0,
    inference(rw,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_228,plain,
    ( app(app(X1,X2),X3) = app(X1,app(X2,X3))
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_155 ).

cnf(c_0_229,negated_conjecture,
    ssList(esk56_0),
    i_0_194 ).

cnf(c_0_230,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_231,negated_conjecture,
    ( app(app(esk55_0,cons(esk53_0,nil)),app(cons(esk54_0,nil),esk56_0)) = esk50_0
    | ~ ssList(app(esk55_0,cons(esk53_0,nil)))
    | ~ ssList(cons(esk54_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_229])]) ).

cnf(c_0_232,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_233,negated_conjecture,
    ssItem(esk54_0),
    i_0_196 ).

cnf(c_0_234,negated_conjecture,
    ssList(esk48_0),
    i_0_207 ).

cnf(c_0_235,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_230]) ).

cnf(c_0_236,plain,
    ( app(app(esk55_0,cons(esk53_0,nil)),cons(esk54_0,esk56_0)) = esk50_0
    | ~ ssList(app(esk55_0,cons(esk53_0,nil)))
    | ~ ssList(cons(esk54_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]),c_0_229])]) ).

cnf(c_0_237,negated_conjecture,
    strictorderedP(esk50_0),
    i_0_199 ).

cnf(c_0_238,negated_conjecture,
    ssItem(esk53_0),
    i_0_197 ).

cnf(c_0_239,negated_conjecture,
    ssList(esk50_0),
    inference(rw,[status(thm)],[c_0_234,c_0_226]) ).

cnf(c_0_240,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_241,negated_conjecture,
    ssList(esk55_0),
    i_0_195 ).

cnf(c_0_242,plain,
    ( lt(esk53_0,esk54_0)
    | ~ ssList(app(esk55_0,cons(esk53_0,nil)))
    | ~ ssList(cons(esk54_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_235,c_0_236]),c_0_237]),c_0_233]),c_0_238]),c_0_239]),c_0_229]),c_0_240]),c_0_241])]) ).

cnf(c_0_243,plain,
    ( ssList(app(X1,X2))
    | ~ ssList(X2)
    | ~ ssList(X1) ),
    i_0_58 ).

cnf(c_0_244,plain,
    ( X1 = X2
    | neq(X1,X2)
    | ~ ssItem(X2)
    | ~ ssItem(X1) ),
    i_0_48 ).

cnf(c_0_245,plain,
    ( ~ ssItem(X1)
    | ~ ssItem(X2)
    | ~ lt(X1,X2)
    | ~ lt(X2,X1) ),
    i_0_69 ).

cnf(c_0_246,plain,
    ( lt(esk53_0,esk54_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_242,c_0_243]),c_0_241])]) ).

cnf(c_0_247,negated_conjecture,
    ( X1 = esk54_0
    | neq(X1,esk54_0)
    | ~ ssItem(X1) ),
    inference(spm,[status(thm)],[c_0_244,c_0_233]) ).

cnf(c_0_248,negated_conjecture,
    ~ neq(esk53_0,esk54_0),
    i_0_192 ).

cnf(c_0_249,plain,
    ( ~ lt(esk54_0,esk53_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_245,c_0_246]),c_0_238]),c_0_233])]) ).

cnf(c_0_250,negated_conjecture,
    esk54_0 = esk53_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_238]),c_0_248]) ).

cnf(c_0_251,plain,
    ( ~ lt(esk53_0,esk53_0)
    | ~ ssList(cons(esk53_0,nil)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_250]),c_0_250])]) ).

cnf(c_0_252,plain,
    ~ ssList(cons(esk53_0,nil)),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_250]),c_0_250])]),c_0_251]) ).

cnf(c_0_253,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_254,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_238]),c_0_240])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC175+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n017.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 22:15:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.61/2.39  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.61/2.39  # No SInE strategy applied
% 8.61/2.39  # Trying AutoSched0 for 150 seconds
% 8.61/2.39  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S04AN
% 8.61/2.39  # and selection function SelectComplexExceptUniqMaxHorn.
% 8.61/2.39  #
% 8.61/2.39  # Preprocessing time       : 0.024 s
% 8.61/2.39  # Presaturation interreduction done
% 8.61/2.39  
% 8.61/2.39  # Proof found!
% 8.61/2.39  # SZS status Theorem
% 8.61/2.39  # SZS output start CNFRefutation
% See solution above
% 8.61/2.39  # Training examples: 0 positive, 0 negative
% 8.61/2.39  
% 8.61/2.39  # -------------------------------------------------
% 8.61/2.39  # User time                : 0.037 s
% 8.61/2.39  # System time              : 0.007 s
% 8.61/2.39  # Total time               : 0.044 s
% 8.61/2.39  # Maximum resident set size: 7124 pages
% 8.61/2.39  
%------------------------------------------------------------------------------