TSTP Solution File: SCT171_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT171_1 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a9EKwffQSZ true

% Computer : n009.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 14:27:29 EDT 2023

% Result   : Theorem 1.25s 0.85s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   55 (   7 unt;  46 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  256 (   4   ~;   1   |;   0   &; 250   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  11 avg)
%            Number of types       :   20 (  19 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   28 (  27 usr;  14 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

thf(fun_fu383145951l_bool_type,type,
    fun_fu383145951l_bool: $tType ).

thf(produc624534567le_alt_type,type,
    produc624534567le_alt: $tType ).

thf(arrow_1621810872le_alt_type,type,
    arrow_1621810872le_alt: $tType ).

thf(fun_Pr1639951081t_bool_type,type,
    fun_Pr1639951081t_bool: $tType ).

thf(fun_fu50365883t_bool_type,type,
    fun_fu50365883t_bool: $tType ).

thf(fun_Ar2047178847t_bool_type,type,
    fun_Ar2047178847t_bool: $tType ).

thf(fun_Ar2040671475t_bool_type,type,
    fun_Ar2040671475t_bool: $tType ).

thf(fun_Ar2100459655t_bool_type,type,
    fun_Ar2100459655t_bool: $tType ).

thf(fun_bo292969573t_bool_type,type,
    fun_bo292969573t_bool: $tType ).

thf(fun_Ar1871347069i_bool_type,type,
    fun_Ar1871347069i_bool: $tType ).

thf(fun_Ar156616864t_bool_type,type,
    fun_Ar156616864t_bool: $tType ).

thf(fun_nat_fun_nat_bool_type,type,
    fun_nat_fun_nat_bool: $tType ).

thf(fun_Ar2035712896di_nat_type,type,
    fun_Ar2035712896di_nat: $tType ).

thf(nat_type,type,
    nat: $tType ).

thf(fun_Ar1757019876t_bool_type,type,
    fun_Ar1757019876t_bool: $tType ).

thf(fun_fu1760369922t_bool_type,type,
    fun_fu1760369922t_bool: $tType ).

thf(fun_Ar2079322857t_bool_type,type,
    fun_Ar2079322857t_bool: $tType ).

thf(fun_fu193278215t_bool_type,type,
    fun_fu193278215t_bool: $tType ).

thf(f_type,type,
    f: fun_fu50365883t_bool ).

thf(produc170576535le_alt_type,type,
    produc170576535le_alt: arrow_1621810872le_alt > arrow_1621810872le_alt > produc624534567le_alt ).

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

thf(arrow_1275257820_mktop_type,type,
    arrow_1275257820_mktop: fun_fu1760369922t_bool ).

thf(p_type,type,
    p: fun_Ar2047178847t_bool ).

thf(h_type,type,
    h: fun_Ar2035712896di_nat ).

thf(cOMBB_1932856316e_indi_type,type,
    cOMBB_1932856316e_indi: fun_fu1760369922t_bool > fun_Ar2047178847t_bool > fun_Ar1757019876t_bool ).

thf(n_type,type,
    n: nat ).

thf(c_type,type,
    c: arrow_1621810872le_alt ).

thf(if_fun95824985t_bool_type,type,
    if_fun95824985t_bool: fun_bo292969573t_bool ).

thf(d_type,type,
    d: arrow_1621810872le_alt ).

thf(cOMBC_377836265t_bool_type,type,
    cOMBC_377836265t_bool: fun_Ar1757019876t_bool > arrow_1621810872le_alt > fun_Ar2047178847t_bool ).

thf(cOMBC_998415407t_bool_type,type,
    cOMBC_998415407t_bool: fun_Ar156616864t_bool > nat > fun_Ar1871347069i_bool ).

thf(cOMBS_1688227464t_bool_type,type,
    cOMBS_1688227464t_bool: fun_Ar2040671475t_bool > fun_Ar2047178847t_bool > fun_Ar2047178847t_bool ).

thf(fequal_nat_type,type,
    fequal_nat: fun_nat_fun_nat_bool ).

thf(cOMBC_1994570734t_bool_type,type,
    cOMBC_1994570734t_bool: fun_Ar2079322857t_bool > arrow_1621810872le_alt > fun_Ar1757019876t_bool ).

thf(hAPP_f718157575t_bool_type,type,
    hAPP_f718157575t_bool: fun_fu50365883t_bool > fun_Ar2047178847t_bool > fun_Pr1639951081t_bool ).

thf(member1484933012le_alt_type,type,
    member1484933012le_alt: produc624534567le_alt > fun_fu383145951l_bool ).

thf(cOMBB_124649523e_indi_type,type,
    cOMBB_124649523e_indi: fun_bo292969573t_bool > fun_Ar1871347069i_bool > fun_Ar2100459655t_bool ).

thf(arrow_1126550734_mkbot_type,type,
    arrow_1126550734_mkbot: fun_fu1760369922t_bool ).

thf(cOMBB_1514803447e_indi_type,type,
    cOMBB_1514803447e_indi: fun_nat_fun_nat_bool > fun_Ar2035712896di_nat > fun_Ar156616864t_bool ).

thf(arrow_2009189698_above_type,type,
    arrow_2009189698_above: fun_fu193278215t_bool ).

thf(cOMBB_715840641e_indi_type,type,
    cOMBB_715840641e_indi: fun_fu193278215t_bool > fun_Ar2047178847t_bool > fun_Ar2079322857t_bool ).

thf(ord_less_nat_type,type,
    ord_less_nat: fun_nat_fun_nat_bool ).

thf(cOMBS_1833320732t_bool_type,type,
    cOMBS_1833320732t_bool: fun_Ar2100459655t_bool > fun_Ar2047178847t_bool > fun_Ar2040671475t_bool ).

thf(e_type,type,
    e: arrow_1621810872le_alt ).

thf(hAPP_f1944886577l_bool_type,type,
    hAPP_f1944886577l_bool: fun_fu383145951l_bool > fun_Pr1639951081t_bool > bool ).

thf(fact_14_PW,axiom,
    ( ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ p ) ) )
  <=> ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1275257820_mktop @ p ) @ e ) ) @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBC_1994570734t_bool @ ( cOMBB_715840641e_indi @ arrow_2009189698_above @ p ) @ c ) @ e ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1126550734_mkbot @ p ) @ e ) ) ) ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ( ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ p ) ) )
    | ~ ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1275257820_mktop @ p ) @ e ) ) @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBC_1994570734t_bool @ ( cOMBB_715840641e_indi @ arrow_2009189698_above @ p ) @ c ) @ e ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1126550734_mkbot @ p ) @ e ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,conjecture,
    hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ p ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ p ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl40,plain,
    ~ ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ p ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51,plain,
    ~ ( hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1275257820_mktop @ p ) @ e ) ) @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBC_1994570734t_bool @ ( cOMBB_715840641e_indi @ arrow_2009189698_above @ p ) @ c ) @ e ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1126550734_mkbot @ p ) @ e ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl40]) ).

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_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1275257820_mktop @ p ) @ e ) ) @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBC_1994570734t_bool @ ( cOMBB_715840641e_indi @ arrow_2009189698_above @ p ) @ c ) @ e ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1126550734_mkbot @ p ) @ e ) ) ) ) ) ).

thf(zip_derived_cl25,plain,
    hBOOL @ ( hAPP_f1944886577l_bool @ ( member1484933012le_alt @ ( produc170576535le_alt @ c @ d ) ) @ ( hAPP_f718157575t_bool @ f @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ ord_less_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1275257820_mktop @ p ) @ e ) ) @ ( cOMBS_1688227464t_bool @ ( cOMBS_1833320732t_bool @ ( cOMBB_124649523e_indi @ if_fun95824985t_bool @ ( cOMBC_998415407t_bool @ ( cOMBB_1514803447e_indi @ fequal_nat @ h ) @ n ) ) @ ( cOMBC_377836265t_bool @ ( cOMBC_1994570734t_bool @ ( cOMBB_715840641e_indi @ arrow_2009189698_above @ p ) @ c ) @ e ) ) @ ( cOMBC_377836265t_bool @ ( cOMBB_1932856316e_indi @ arrow_1126550734_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_cl52,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl25]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.15  % Problem  : SCT171_1 : TPTP v8.1.2. Released v5.3.0.
% 0.06/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.a9EKwffQSZ true
% 0.12/0.36  % Computer : n009.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8042.1875MB
% 0.12/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Thu Aug 24 16:43:06 EDT 2023
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  % Running portfolio for 300 s
% 0.12/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36  % Number of cores: 8
% 0.19/0.36  % Python version: Python 3.6.8
% 0.19/0.37  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.23/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.25/0.85  % Solved by fo/fo4.sh.
% 1.25/0.85  % done 15 iterations in 0.053s
% 1.25/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.25/0.85  % SZS output start Refutation
% See solution above
% 1.25/0.85  
% 1.25/0.85  
% 1.25/0.85  % Terminating...
% 1.43/0.97  % Runner terminated.
% 1.43/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------