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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.Tg7GFRDwW2 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 Oct  2 04:50:57 PM UTC 2025

% Result   : Theorem 4.75s 1.74s
% Output   : Refutation 4.75s
% 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(produc1572197287le_alt_type,type,
    produc1572197287le_alt: $tType ).

thf(arrow_1389031998le_alt_type,type,
    arrow_1389031998le_alt: $tType ).

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

thf(arrow_1196572341e_indi_type,type,
    arrow_1196572341e_indi: $tType ).

thf(arrow_1970123222_mktop_type,type,
    arrow_1970123222_mktop: ( produc1572197287le_alt > $o ) > arrow_1389031998le_alt > produc1572197287le_alt > $o ).

thf(n_type,type,
    n: nat ).

thf(if_Pro278423000_alt_o_type,type,
    if_Pro278423000_alt_o: $o > ( produc1572197287le_alt > $o ) > ( produc1572197287le_alt > $o ) > produc1572197287le_alt > $o ).

thf(c_type,type,
    c: arrow_1389031998le_alt ).

thf(produc897867031le_alt_type,type,
    produc897867031le_alt: arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt ).

thf(d_type,type,
    d: arrow_1389031998le_alt ).

thf(e_type,type,
    e: arrow_1389031998le_alt ).

thf(arrow_556571452_above_type,type,
    arrow_556571452_above: ( produc1572197287le_alt > $o ) > arrow_1389031998le_alt > arrow_1389031998le_alt > produc1572197287le_alt > $o ).

thf(member285112084le_alt_type,type,
    member285112084le_alt: produc1572197287le_alt > ( produc1572197287le_alt > $o ) > $o ).

thf(h_type,type,
    h: arrow_1196572341e_indi > nat ).

thf(f_type,type,
    f: ( arrow_1196572341e_indi > produc1572197287le_alt > $o ) > produc1572197287le_alt > $o ).

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

thf(p_type,type,
    p: arrow_1196572341e_indi > produc1572197287le_alt > $o ).

thf(arrow_1821416136_mkbot_type,type,
    arrow_1821416136_mkbot: ( produc1572197287le_alt > $o ) > arrow_1389031998le_alt > produc1572197287le_alt > $o ).

thf(fact_14_PW,axiom,
    ( ( member285112084le_alt @ ( produc897867031le_alt @ c @ d ) @ ( f @ p ) )
  <=> ( member285112084le_alt @ ( produc897867031le_alt @ c @ d )
      @ ( f
        @ ^ [I_1: arrow_1196572341e_indi] :
            ( if_Pro278423000_alt_o @ ( ord_less_nat @ ( h @ I_1 ) @ n ) @ ( arrow_1970123222_mktop @ ( p @ I_1 ) @ e )
            @ ( if_Pro278423000_alt_o
              @ ( ( h @ I_1 )
                = n )
              @ ( arrow_556571452_above @ ( p @ I_1 ) @ c @ e )
              @ ( arrow_1821416136_mkbot @ ( p @ I_1 ) @ e ) ) ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ( ( member285112084le_alt @ ( produc897867031le_alt @ c @ d ) @ ( f @ p ) )
    = ( member285112084le_alt @ ( produc897867031le_alt @ c @ d )
      @ ( f
        @ ^ [Y0: arrow_1196572341e_indi] :
            ( if_Pro278423000_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1970123222_mktop @ ( p @ Y0 ) @ e )
            @ ( if_Pro278423000_alt_o
              @ ( ( h @ Y0 )
                = n )
              @ ( arrow_556571452_above @ ( p @ Y0 ) @ c @ e )
              @ ( arrow_1821416136_mkbot @ ( p @ Y0 ) @ e ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_14_PW]) ).

thf(conj_0,conjecture,
    member285112084le_alt @ ( produc897867031le_alt @ c @ d ) @ ( f @ p ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member285112084le_alt @ ( produc897867031le_alt @ c @ d ) @ ( f @ p ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1014,plain,
    ~ ( member285112084le_alt @ ( produc897867031le_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,
    ( member285112084le_alt @ ( produc897867031le_alt @ c @ d )
    @ ( f
      @ ^ [I_1: arrow_1196572341e_indi] :
          ( if_Pro278423000_alt_o @ ( ord_less_nat @ ( h @ I_1 ) @ n ) @ ( arrow_1970123222_mktop @ ( p @ I_1 ) @ e )
          @ ( if_Pro278423000_alt_o
            @ ( ( h @ I_1 )
              = n )
            @ ( arrow_556571452_above @ ( p @ I_1 ) @ c @ e )
            @ ( arrow_1821416136_mkbot @ ( p @ I_1 ) @ e ) ) ) ) ) ).

thf(zip_derived_cl11,plain,
    ( member285112084le_alt @ ( produc897867031le_alt @ c @ d )
    @ ( f
      @ ^ [Y0: arrow_1196572341e_indi] :
          ( if_Pro278423000_alt_o @ ( ord_less_nat @ ( h @ Y0 ) @ n ) @ ( arrow_1970123222_mktop @ ( p @ Y0 ) @ e )
          @ ( if_Pro278423000_alt_o
            @ ( ( h @ Y0 )
              = n )
            @ ( arrow_556571452_above @ ( p @ Y0 ) @ c @ e )
            @ ( arrow_1821416136_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_cl1239,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl1014,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.13  % Problem  : SCT171^3 : TPTP v9.2.0. Released v5.3.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Tg7GFRDwW2 true
% 0.10/0.34  % Computer : n016.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Wed Oct  1 15:12:53 EDT 2025
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  % Running portfolio for 300 s
% 0.10/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.34  % Number of cores: 8
% 0.10/0.34  % Python version: Python 3.6.8
% 0.10/0.35  % Running in HO mode
% 0.46/0.61  % Total configuration time : 828
% 0.46/0.61  % Estimated wc time : 1656
% 0.46/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.79  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.81  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.81  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.46/0.82  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/0.83  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.47/0.84  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.47/0.86  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.94/1.09  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.75/1.74  % Solved by lams/30_b.l.sh.
% 4.75/1.74  % done 0 iterations in 0.530s
% 4.75/1.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.75/1.74  % SZS output start Refutation
% See solution above
% 4.75/1.74  
% 4.75/1.74  
% 4.75/1.74  % Terminating...
% 5.45/1.93  % Runner terminated.
% 5.45/1.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------