TSTP Solution File: SWC222+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWC222+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 20:14:23 EDT 2022

% Result   : Theorem 7.68s 2.42s
% Output   : CNFRefutation 7.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   44 (  15 unt;  10 nHn;  44 RR)
%            Number of literals    :  113 (  39 equ;  69 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   50 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_199,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_199) ).

cnf(i_0_202,negated_conjecture,
    esk50_0 = esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_202) ).

cnf(i_0_79,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_79) ).

cnf(i_0_44,plain,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_44) ).

cnf(i_0_200,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_200) ).

cnf(i_0_60,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_60) ).

cnf(i_0_201,negated_conjecture,
    nil != esk48_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_201) ).

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-2_ubpdp_/lgb.p',i_0_154) ).

cnf(i_0_142,plain,
    ( nil = X1
    | hd(X1) = esk34_1(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_142) ).

cnf(i_0_205,negated_conjecture,
    ssList(esk50_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_205) ).

cnf(i_0_144,plain,
    ( nil = X1
    | tl(X1) = esk35_1(X1)
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_144) ).

cnf(i_0_43,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_43) ).

cnf(i_0_147,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_147) ).

cnf(i_0_143,plain,
    ( nil = X1
    | ssItem(esk34_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_143) ).

cnf(i_0_145,plain,
    ( nil = X1
    | ssList(esk35_1(X1))
    | ~ ssList(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-2_ubpdp_/lgb.p',i_0_145) ).

cnf(c_0_221,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X1)
    | ~ ssItem(X2) ),
    i_0_199 ).

cnf(c_0_222,negated_conjecture,
    esk50_0 = esk48_0,
    i_0_202 ).

cnf(c_0_223,plain,
    ( ~ ssItem(X1)
    | ~ memberP(nil,X1) ),
    i_0_79 ).

cnf(c_0_224,negated_conjecture,
    ( memberP(X1,esk52_3(X2,X1,X3))
    | app(app(X1,cons(X2,nil)),X3) != esk50_0
    | ~ ssItem(X2)
    | ~ ssList(X3)
    | ~ ssList(X1) ),
    inference(rw,[status(thm)],[c_0_221,c_0_222]) ).

cnf(c_0_225,plain,
    ssList(nil),
    i_0_44 ).

cnf(c_0_226,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk48_0
    | ~ ssList(X3)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_200 ).

cnf(c_0_227,plain,
    ( app(app(nil,cons(X1,nil)),X2) != esk50_0
    | ~ ssItem(esk52_3(X1,nil,X2))
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_225])]) ).

cnf(c_0_228,negated_conjecture,
    ( ssItem(esk52_3(X1,X2,X3))
    | app(app(X2,cons(X1,nil)),X3) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X3)
    | ~ ssList(X2) ),
    inference(rw,[status(thm)],[c_0_226,c_0_222]) ).

cnf(c_0_229,negated_conjecture,
    ( app(app(nil,cons(X1,nil)),X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_228]),c_0_225])]) ).

cnf(c_0_230,plain,
    ( app(nil,X1) = X1
    | ~ ssList(X1) ),
    i_0_60 ).

cnf(c_0_231,negated_conjecture,
    nil != esk48_0,
    i_0_201 ).

cnf(c_0_232,plain,
    ( app(cons(X1,nil),X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

cnf(c_0_233,plain,
    ( app(cons(X1,nil),X2) = cons(X1,X2)
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_154 ).

cnf(c_0_234,plain,
    ( nil = X1
    | hd(X1) = esk34_1(X1)
    | ~ ssList(X1) ),
    i_0_142 ).

cnf(c_0_235,negated_conjecture,
    ssList(esk50_0),
    i_0_205 ).

cnf(c_0_236,negated_conjecture,
    esk50_0 != nil,
    inference(rw,[status(thm)],[c_0_231,c_0_222]) ).

cnf(c_0_237,plain,
    ( nil = X1
    | tl(X1) = esk35_1(X1)
    | ~ ssList(X1) ),
    i_0_144 ).

cnf(c_0_238,plain,
    ( cons(X1,X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(cons(X1,nil))
    | ~ ssList(X2) ),
    inference(spm,[status(thm)],[c_0_232,c_0_233]) ).

cnf(c_0_239,plain,
    ( ssList(cons(X1,X2))
    | ~ ssList(X2)
    | ~ ssItem(X1) ),
    i_0_43 ).

cnf(c_0_240,plain,
    ( nil = X1
    | cons(hd(X1),tl(X1)) = X1
    | ~ ssList(X1) ),
    i_0_147 ).

cnf(c_0_241,plain,
    ( nil = X1
    | ssItem(esk34_1(X1))
    | ~ ssList(X1) ),
    i_0_143 ).

cnf(c_0_242,negated_conjecture,
    esk34_1(esk50_0) = hd(esk50_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_243,plain,
    ( nil = X1
    | ssList(esk35_1(X1))
    | ~ ssList(X1) ),
    i_0_145 ).

cnf(c_0_244,negated_conjecture,
    esk35_1(esk50_0) = tl(esk50_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_235]),c_0_236]) ).

cnf(c_0_245,plain,
    ( cons(X1,X2) != esk50_0
    | ~ ssItem(X1)
    | ~ ssList(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_225])]) ).

cnf(c_0_246,negated_conjecture,
    cons(hd(esk50_0),tl(esk50_0)) = esk50_0,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_235]),c_0_236]) ).

cnf(c_0_247,plain,
    ssItem(hd(esk50_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_242]),c_0_235])]),c_0_236]) ).

cnf(c_0_248,plain,
    ssList(tl(esk50_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_244]),c_0_235])]),c_0_236]) ).

cnf(c_0_249,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_246]),c_0_247]),c_0_248])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC222+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.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 08:12:26 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
% 7.68/2.42  # ENIGMATIC: Solved by autoschedule-lgb:
% 7.68/2.42  # No SInE strategy applied
% 7.68/2.42  # Trying AutoSched0 for 150 seconds
% 7.68/2.42  # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_RG_S04BN
% 7.68/2.42  # and selection function PSelectComplexExceptUniqMaxHorn.
% 7.68/2.42  #
% 7.68/2.42  # Preprocessing time       : 0.025 s
% 7.68/2.42  
% 7.68/2.42  # Proof found!
% 7.68/2.42  # SZS status Theorem
% 7.68/2.42  # SZS output start CNFRefutation
% See solution above
% 7.68/2.42  # Training examples: 0 positive, 0 negative
% 7.68/2.42  
% 7.68/2.42  # -------------------------------------------------
% 7.68/2.42  # User time                : 0.050 s
% 7.68/2.42  # System time              : 0.007 s
% 7.68/2.42  # Total time               : 0.058 s
% 7.68/2.42  # Maximum resident set size: 7124 pages
% 7.68/2.42  
%------------------------------------------------------------------------------