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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT171+3 : TPTP v9.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SWvNrBLPH7 true

% Computer : n004.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  : 300s
% DateTime : Thu Oct  2 04:50:57 PM UTC 2025

% Result   : Theorem 0.58s 0.92s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  401 (   4   ~;   1   |;   0   &; 395   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (  14 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   43 (  42 usr;  19 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(produc1400112471le_alt_type,type,
    produc1400112471le_alt: $i ).

thf(cOMBC_1353880399t_bool_type,type,
    cOMBC_1353880399t_bool: $i ).

thf(hAPP_f210227915t_bool_type,type,
    hAPP_f210227915t_bool: $i > $i > $i ).

thf(hAPP_f412050202t_bool_type,type,
    hAPP_f412050202t_bool: $i > $i > $i ).

thf(if_fun2098446489t_bool_type,type,
    if_fun2098446489t_bool: $i ).

thf(cOMBB_2107911302e_indi_type,type,
    cOMBB_2107911302e_indi: $i > $i ).

thf(cOMBS_131695599t_bool_type,type,
    cOMBS_131695599t_bool: $i > $i ).

thf(hAPP_n821919323i_bool_type,type,
    hAPP_n821919323i_bool: $i > $i > $i ).

thf(cOMBC_898791271t_bool_type,type,
    cOMBC_898791271t_bool: $i ).

thf(p_type,type,
    p: $i ).

thf(d_type,type,
    d: $i ).

thf(hAPP_A702847159le_alt_type,type,
    hAPP_A702847159le_alt: $i > $i > $i ).

thf(hAPP_f1842612975t_bool_type,type,
    hAPP_f1842612975t_bool: $i > $i > $i ).

thf(hAPP_f721938099t_bool_type,type,
    hAPP_f721938099t_bool: $i > $i > $i ).

thf(cOMBB_2032668066e_indi_type,type,
    cOMBB_2032668066e_indi: $i > $i ).

thf(hAPP_f1740414619t_bool_type,type,
    hAPP_f1740414619t_bool: $i > $i > $i ).

thf(e_type,type,
    e: $i ).

thf(n_type,type,
    n: $i ).

thf(f_type,type,
    f: $i ).

thf(hAPP_P229966473l_bool_type,type,
    hAPP_P229966473l_bool: $i > $i > $i ).

thf(hAPP_f224734595t_bool_type,type,
    hAPP_f224734595t_bool: $i > $i > $i ).

thf(cOMBS_1064524443t_bool_type,type,
    cOMBS_1064524443t_bool: $i > $i ).

thf(ord_less_nat_type,type,
    ord_less_nat: $i ).

thf(hAPP_f1808153265t_bool_type,type,
    hAPP_f1808153265t_bool: $i > $i > $i ).

thf(arrow_230821333_above_type,type,
    arrow_230821333_above: $i ).

thf(cOMBC_1996607964t_bool_type,type,
    cOMBC_1996607964t_bool: $i ).

thf(hAPP_f248867553t_bool_type,type,
    hAPP_f248867553t_bool: $i > $i > $i ).

thf(member1441201108le_alt_type,type,
    member1441201108le_alt: $i ).

thf(hAPP_f592646513l_bool_type,type,
    hAPP_f592646513l_bool: $i > $i > $i ).

thf(hAPP_f586238575t_bool_type,type,
    hAPP_f586238575t_bool: $i > $i > $i ).

thf(hAPP_A1805174428t_bool_type,type,
    hAPP_A1805174428t_bool: $i > $i > $i ).

thf(arrow_1644373103_mktop_type,type,
    arrow_1644373103_mktop: $i ).

thf(cOMBB_1883918730e_indi_type,type,
    cOMBB_1883918730e_indi: $i > $i ).

thf(hAPP_f446868133i_bool_type,type,
    hAPP_f446868133i_bool: $i > $i > $i ).

thf(cOMBB_1769989562e_indi_type,type,
    cOMBB_1769989562e_indi: $i > $i ).

thf(c_type,type,
    c: $i ).

thf(fequal_nat_type,type,
    fequal_nat: $i ).

thf(hAPP_A1505516597le_alt_type,type,
    hAPP_A1505516597le_alt: $i > $i > $i ).

thf(h_type,type,
    h: $i ).

thf(arrow_1495666017_mkbot_type,type,
    arrow_1495666017_mkbot: $i ).

thf(hAPP_A1906441908t_bool_type,type,
    hAPP_A1906441908t_bool: $i > $i > $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(fact_14_PW,axiom,
    ( ( 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 ) ) ) ) ) ) ) ).

thf(zip_derived_cl53,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 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,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 ) ) ).

thf(zf_stmt_0,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 ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl105,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 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl108,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 ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl105]) ).

thf(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
    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 ) ) ) ) ) ).

thf(zip_derived_cl51,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 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto]) ).

thf(zip_derived_cl139,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl108,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SCT171+3 : TPTP v9.2.0. Released v5.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SWvNrBLPH7 true
% 0.12/0.33  % Computer : n004.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  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 15:14:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in FO mode
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.92  % Solved by fo/fo4.sh.
% 0.58/0.92  % done 37 iterations in 0.147s
% 0.58/0.92  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.92  % SZS output start Refutation
% See solution above
% 0.58/0.92  
% 0.58/0.92  
% 0.58/0.92  % Terminating...
% 0.59/0.96  % Runner terminated.
% 0.59/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------