TSTP Solution File: SCT171+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8u4KFAeYS true

% 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  : 300s
% DateTime : Thu Aug 31 14:27:30 EDT 2023

% Result   : Theorem 1.93s 0.90s
% Output   : Refutation 1.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   43
% Syntax   : Number of formulae    :   49 (   7 unt;  40 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  381 (   4   ~;   1   |;   0   &; 375   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   39 (  39   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   41 (  40 usr;  19 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hAPP_f1931036015t_bool_type,type,
    hAPP_f1931036015t_bool: $i > $i > $i ).

thf(hAPP_P1151433609l_bool_type,type,
    hAPP_P1151433609l_bool: $i > $i > $i ).

thf(hAPP_f2027600413t_bool_type,type,
    hAPP_f2027600413t_bool: $i > $i > $i ).

thf(member720722004le_alt_type,type,
    member720722004le_alt: $i ).

thf(arrow_1046586475_above_type,type,
    arrow_1046586475_above: $i ).

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

thf(cOMBC_325526267t_bool_type,type,
    cOMBC_325526267t_bool: $i ).

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

thf(hAPP_f1817389232t_bool_type,type,
    hAPP_f1817389232t_bool: $i > $i > $i ).

thf(cOMBB_552200224e_indi_type,type,
    cOMBB_552200224e_indi: $i > $i ).

thf(cOMBC_1377016489t_bool_type,type,
    cOMBC_1377016489t_bool: $i ).

thf(hAPP_f1882280879t_bool_type,type,
    hAPP_f1882280879t_bool: $i > $i > $i ).

thf(arrow_312654597_mktop_type,type,
    arrow_312654597_mktop: $i ).

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

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

thf(cOMBB_810329756e_indi_type,type,
    cOMBB_810329756e_indi: $i > $i ).

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

thf(cOMBS_995062533t_bool_type,type,
    cOMBS_995062533t_bool: $i > $i > $i ).

thf(hAPP_f114580065t_bool_type,type,
    hAPP_f114580065t_bool: $i > $i > $i ).

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

thf(produc1456060119le_alt_type,type,
    produc1456060119le_alt: $i ).

thf(cOMBC_70761414t_bool_type,type,
    cOMBC_70761414t_bool: $i ).

thf(arrow_163947511_mkbot_type,type,
    arrow_163947511_mkbot: $i ).

thf(hAPP_f1733357041l_bool_type,type,
    hAPP_f1733357041l_bool: $i > $i > $i ).

thf(hAPP_f1044120523t_bool_type,type,
    hAPP_f1044120523t_bool: $i > $i > $i ).

thf(cOMBB_640263118e_indi_type,type,
    cOMBB_640263118e_indi: $i > $i ).

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

thf(hAPP_f832306437t_bool_type,type,
    hAPP_f832306437t_bool: $i > $i > $i ).

thf(hAPP_A630236912t_bool_type,type,
    hAPP_A630236912t_bool: $i > $i > $i ).

thf(hAPP_A1171966089le_alt_type,type,
    hAPP_A1171966089le_alt: $i > $i > $i ).

thf(if_fun1158274329t_bool_type,type,
    if_fun1158274329t_bool: $i ).

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

thf(cOMBS_178315313t_bool_type,type,
    cOMBS_178315313t_bool: $i > $i > $i ).

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

thf(hAPP_A1561816353le_alt_type,type,
    hAPP_A1561816353le_alt: $i > $i > $i ).

thf(hAPP_n1600508401i_bool_type,type,
    hAPP_n1600508401i_bool: $i > $i > $i ).

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

thf(hAPP_A711952286t_bool_type,type,
    hAPP_A711952286t_bool: $i > $i > $i ).

thf(hAPP_f595617317i_bool_type,type,
    hAPP_f595617317i_bool: $i > $i > $i ).

thf(cOMBB_930893948e_indi_type,type,
    cOMBB_930893948e_indi: $i > $i ).

thf(fact_14_PW,axiom,
    ( ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ p ) ) )
  <=> ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ ord_less_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_312654597_mktop ) @ p ) ) @ e ) ) @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ fequal_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_A711952286t_bool @ ( hAPP_f114580065t_bool @ cOMBC_1377016489t_bool @ ( hAPP_f1044120523t_bool @ ( cOMBB_930893948e_indi @ arrow_1046586475_above ) @ p ) ) @ c ) ) @ e ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_163947511_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ( ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ p ) ) )
    | ~ ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ ord_less_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_312654597_mktop ) @ p ) ) @ e ) ) @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ fequal_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_A711952286t_bool @ ( hAPP_f114580065t_bool @ cOMBC_1377016489t_bool @ ( hAPP_f1044120523t_bool @ ( cOMBB_930893948e_indi @ arrow_1046586475_above ) @ p ) ) @ c ) ) @ e ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_163947511_mkbot ) @ p ) ) @ e ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,conjecture,
    hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ p ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ p ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl101,plain,
    ~ ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ p ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl104,plain,
    ~ ( hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ ord_less_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_312654597_mktop ) @ p ) ) @ e ) ) @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ fequal_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_A711952286t_bool @ ( hAPP_f114580065t_bool @ cOMBC_1377016489t_bool @ ( hAPP_f1044120523t_bool @ ( cOMBB_930893948e_indi @ arrow_1046586475_above ) @ p ) ) @ c ) ) @ e ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_163947511_mkbot ) @ p ) ) @ e ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl101]) ).

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_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ ord_less_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_312654597_mktop ) @ p ) ) @ e ) ) @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ fequal_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_A711952286t_bool @ ( hAPP_f114580065t_bool @ cOMBC_1377016489t_bool @ ( hAPP_f1044120523t_bool @ ( cOMBB_930893948e_indi @ arrow_1046586475_above ) @ p ) ) @ c ) ) @ e ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_163947511_mkbot ) @ p ) ) @ e ) ) ) ) ) ).

thf(zip_derived_cl51,plain,
    hBOOL @ ( hAPP_f1733357041l_bool @ ( hAPP_P1151433609l_bool @ member720722004le_alt @ ( hAPP_A1561816353le_alt @ ( hAPP_A1171966089le_alt @ produc1456060119le_alt @ c ) @ d ) ) @ ( hAPP_f1817389232t_bool @ f @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ ord_less_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_312654597_mktop ) @ p ) ) @ e ) ) @ ( cOMBS_178315313t_bool @ ( cOMBS_995062533t_bool @ ( hAPP_f1931036015t_bool @ ( cOMBB_810329756e_indi @ if_fun1158274329t_bool ) @ ( hAPP_n1600508401i_bool @ ( hAPP_f595617317i_bool @ cOMBC_70761414t_bool @ ( hAPP_f1882280879t_bool @ ( cOMBB_552200224e_indi @ fequal_nat ) @ h ) ) @ n ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_A711952286t_bool @ ( hAPP_f114580065t_bool @ cOMBC_1377016489t_bool @ ( hAPP_f1044120523t_bool @ ( cOMBB_930893948e_indi @ arrow_1046586475_above ) @ p ) ) @ c ) ) @ e ) ) @ ( hAPP_A630236912t_bool @ ( hAPP_f832306437t_bool @ cOMBC_325526267t_bool @ ( hAPP_f2027600413t_bool @ ( cOMBB_640263118e_indi @ arrow_163947511_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_cl105,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl104,zip_derived_cl51]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SCT171+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h8u4KFAeYS true
% 0.13/0.35  % Computer : n016.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 16:15:54 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.93/0.90  % Solved by fo/fo4.sh.
% 1.93/0.90  % done 18 iterations in 0.104s
% 1.93/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.93/0.90  % SZS output start Refutation
% See solution above
% 1.93/0.90  
% 1.93/0.90  
% 1.93/0.90  % Terminating...
% 1.93/0.98  % Runner terminated.
% 1.93/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------