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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SCT171^1 : TPTP v9.2.0. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x3gGEpPFpP true

% Computer : n008.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 04:50:56 PM UTC 2025

% Result   : Theorem 1.37s 1.10s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   65 (   5 equ;   0 cnn)
%            Maximal formula atoms :   15 (   8 avg)
%            Number of connectives :  128 (   2   ~;   0   |;   0   &; 125   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   7 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   5 con; 0-4 aty)
%            Number of variables   :    4 (   4   ^;   0   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(produc1832616231le_alt_type,type,
    produc1832616231le_alt: $tType ).

thf(arrow_1346734812le_alt_type,type,
    arrow_1346734812le_alt: $tType ).

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

thf(arrow_1092341143e_indi_type,type,
    arrow_1092341143e_indi: $tType ).

thf(produc990411159le_alt_type,type,
    produc990411159le_alt: arrow_1346734812le_alt > arrow_1346734812le_alt > produc1832616231le_alt ).

thf(d_type,type,
    d: arrow_1346734812le_alt ).

thf(arrow_1865892024_mktop_type,type,
    arrow_1865892024_mktop: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(arrow_452340254_above_type,type,
    arrow_452340254_above: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(if_Pro399136856_alt_o_type,type,
    if_Pro399136856_alt_o: $o > ( produc1832616231le_alt > $o ) > ( produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ).

thf(h_type,type,
    h: arrow_1092341143e_indi > nat ).

thf(p_type,type,
    p: arrow_1092341143e_indi > produc1832616231le_alt > $o ).

thf(ord_less_nat_type,type,
    ord_less_nat: nat > nat > $o ).

thf(arrow_1717184938_mkbot_type,type,
    arrow_1717184938_mkbot: ( produc1832616231le_alt > $o ) > arrow_1346734812le_alt > produc1832616231le_alt > $o ).

thf(member545531028le_alt_type,type,
    member545531028le_alt: produc1832616231le_alt > ( produc1832616231le_alt > $o ) > $o ).

thf(n_type,type,
    n: nat ).

thf(c_type,type,
    c: arrow_1346734812le_alt ).

thf(e_type,type,
    e: arrow_1346734812le_alt ).

thf(f_type,type,
    f: ( arrow_1092341143e_indi > produc1832616231le_alt > $o ) > produc1832616231le_alt > $o ).

thf(fact_14_PW,axiom,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) )
  <=> ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [I: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ I ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ I ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( ( h @ I )
                = n )
              @ ( arrow_452340254_above @ ( p @ I ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ I ) @ e ) ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ( ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) )
    = ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
      @ ( f
        @ ^ [Y0: arrow_1092341143e_indi] :
            ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
            @ ( if_Pro399136856_alt_o
              @ ( ( h @ Y0 )
                = n )
              @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
              @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,conjecture,
    member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl99,plain,
    ~ ( member545531028le_alt @ ( produc990411159le_alt @ c @ d ) @ ( f @ p ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_13__096c_A_060_092_060_094bsub_062F_A_I_Fi_O_Aif_Ah_Ai_A_060_An_Athen_Amkto,axiom,
    ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
    @ ( f
      @ ^ [I: arrow_1092341143e_indi] :
          ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ I ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ I ) @ e )
          @ ( if_Pro399136856_alt_o
            @ ( ( h @ I )
              = n )
            @ ( arrow_452340254_above @ ( p @ I ) @ c @ e )
            @ ( arrow_1717184938_mkbot @ ( p @ I ) @ e ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ( member545531028le_alt @ ( produc990411159le_alt @ c @ d )
    @ ( f
      @ ^ [Y0: arrow_1092341143e_indi] :
          ( if_Pro399136856_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1865892024_mktop @ ( p @ Y0 ) @ e )
          @ ( if_Pro399136856_alt_o
            @ ( ( h @ Y0 )
              = n )
            @ ( arrow_452340254_above @ ( p @ Y0 ) @ c @ e )
            @ ( arrow_1717184938_mkbot @ ( p @ Y0 ) @ 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_cl284,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl99,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SCT171^1 : TPTP v9.2.0. Released v5.3.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.x3gGEpPFpP true
% 0.11/0.31  % Computer : n008.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Wed Oct  1 15:11:23 EDT 2025
% 0.11/0.31  % CPUTime  : 
% 0.11/0.31  % Running portfolio for 300 s
% 0.11/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in HO mode
% 0.71/0.61  % Total configuration time : 828
% 0.71/0.61  % Estimated wc time : 1656
% 0.71/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.98/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.98/0.68  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.98/0.69  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.33/0.73  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.37/1.10  % Solved by lams/30_sp5.sh.
% 1.37/1.10  % done 0 iterations in 0.353s
% 1.37/1.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.37/1.10  % SZS output start Refutation
% See solution above
% 1.37/1.10  
% 1.37/1.10  
% 1.37/1.11  % Terminating...
% 5.07/1.22  % Runner terminated.
% 5.07/1.23  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------