TSTP Solution File: SCT171+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SCT171+3 : TPTP v8.1.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n016.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 : Mon Jul 18 21:16:51 EDT 2022

% Result   : Theorem 8.39s 3.15s
% Output   : CNFRefutation 8.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  10 RR)
%            Number of literals    :   17 (   4 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   13 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   47 (  47 usr;  18 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_381,plain,
    ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p)))
    | ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mc6zjgsg/lgb.p',i_0_381) ).

cnf(i_0_2307,plain,
    hAPP_A187815023l_bool(hAPP_f1539445765l_bool(cOMBB_84213429le_alt(X1),X2),X3) = hAPP_P229966473l_bool(X1,hAPP_A702847159le_alt(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mc6zjgsg/lgb.p',i_0_2307) ).

cnf(i_0_2299,plain,
    hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(X1),X2),X3) = hAPP_f1539445765l_bool(X1,hAPP_A1505516597le_alt(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mc6zjgsg/lgb.p',i_0_2299) ).

cnf(i_0_360,plain,
    hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mc6zjgsg/lgb.p',i_0_360) ).

cnf(i_0_1,negated_conjecture,
    ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-mc6zjgsg/lgb.p',i_0_1) ).

cnf(c_0_2313,plain,
    ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p)))
    | ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))) ),
    i_0_381 ).

cnf(c_0_2314,plain,
    hAPP_A187815023l_bool(hAPP_f1539445765l_bool(cOMBB_84213429le_alt(X1),X2),X3) = hAPP_P229966473l_bool(X1,hAPP_A702847159le_alt(X2,X3)),
    i_0_2307 ).

cnf(c_0_2315,plain,
    hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(X1),X2),X3) = hAPP_f1539445765l_bool(X1,hAPP_A1505516597le_alt(X2,X3)),
    i_0_2299 ).

cnf(c_0_2316,plain,
    hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))),
    i_0_360 ).

cnf(c_0_2317,negated_conjecture,
    ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,c),d)),hAPP_f412050202t_bool(f,p))),
    i_0_1 ).

cnf(c_0_2318,plain,
    ( hBOOL(hAPP_f592646513l_bool(hAPP_A187815023l_bool(hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(cOMBB_84213429le_alt(member1441201108le_alt)),produc1400112471le_alt),c),d),hAPP_f412050202t_bool(f,p)))
    | ~ hBOOL(hAPP_f592646513l_bool(hAPP_A187815023l_bool(hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(cOMBB_84213429le_alt(member1441201108le_alt)),produc1400112471le_alt),c),d),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2313,c_0_2314]),c_0_2315]),c_0_2314]),c_0_2315]) ).

cnf(c_0_2319,plain,
    hBOOL(hAPP_f592646513l_bool(hAPP_A187815023l_bool(hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(cOMBB_84213429le_alt(member1441201108le_alt)),produc1400112471le_alt),c),d),hAPP_f412050202t_bool(f,hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(ord_less_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1644373103_mktop),p)),e))),hAPP_f1740414619t_bool(cOMBS_1064524443t_bool(hAPP_f1842612975t_bool(cOMBS_131695599t_bool(hAPP_f586238575t_bool(cOMBB_2107911302e_indi(if_fun2098446489t_bool),hAPP_n821919323i_bool(hAPP_f446868133i_bool(cOMBC_1996607964t_bool,hAPP_f224734595t_bool(cOMBB_1883918730e_indi(fequal_nat),h)),n))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_A1906441908t_bool(hAPP_f248867553t_bool(cOMBC_898791271t_bool,hAPP_f210227915t_bool(cOMBB_1769989562e_indi(arrow_230821333_above),p)),c)),e))),hAPP_A1805174428t_bool(hAPP_f1808153265t_bool(cOMBC_1353880399t_bool,hAPP_f721938099t_bool(cOMBB_2032668066e_indi(arrow_1495666017_mkbot),p)),e)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2316,c_0_2314]),c_0_2315]) ).

cnf(c_0_2320,negated_conjecture,
    ~ hBOOL(hAPP_f592646513l_bool(hAPP_A187815023l_bool(hAPP_A1553574765l_bool(hAPP_f156764033l_bool(cOMBB_2112722489le_alt(cOMBB_84213429le_alt(member1441201108le_alt)),produc1400112471le_alt),c),d),hAPP_f412050202t_bool(f,p))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_2317,c_0_2314]),c_0_2315]) ).

cnf(c_0_2321,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_2318,c_0_2319])]),c_0_2320]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SCT171+3 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n016.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 : Sat Jul  2 06:46:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.39/3.15  # ENIGMATIC: Solved by autoschedule-lgb:
% 8.39/3.15  # No SInE strategy applied
% 8.39/3.15  # Trying AutoSched0 for 150 seconds
% 8.39/3.15  # AutoSched0-Mode selected heuristic G_E___200_B02_F1_AE_CS_SP_PI_S0Y
% 8.39/3.15  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.39/3.15  #
% 8.39/3.15  # Preprocessing time       : 0.023 s
% 8.39/3.15  
% 8.39/3.15  # Proof found!
% 8.39/3.15  # SZS status Theorem
% 8.39/3.15  # SZS output start CNFRefutation
% See solution above
% 8.39/3.15  # Training examples: 0 positive, 0 negative
% 8.39/3.15  
% 8.39/3.15  # -------------------------------------------------
% 8.39/3.15  # User time                : 0.025 s
% 8.39/3.15  # System time              : 0.006 s
% 8.39/3.15  # Total time               : 0.031 s
% 8.39/3.15  # Maximum resident set size: 7616 pages
% 8.39/3.15  
%------------------------------------------------------------------------------