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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM926+7 : 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.O44clQJJkw true

% Computer : n021.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 04:48:45 PM UTC 2025

% Result   : Theorem 124.04s 18.35s
% Output   : Refutation 124.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   44 (  33 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  39 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  910 (  16   ~;  10   |;   0   &; 878   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  11 con; 0-4 aty)
%            Number of variables   :   38 (   0   ^;  30   !;   8   ?;  38   :)

% Comments : 
%------------------------------------------------------------------------------
thf(pls_type,type,
    pls: $i ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i > $i > $i ).

thf(number_number_of_type,type,
    number_number_of: $i > $i > $i ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(one_one_type,type,
    one_one: $i > $i ).

thf(fun_type,type,
    fun: $i > $i > $i ).

thf(one_type,type,
    one: $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(plus_plus_type,type,
    plus_plus: $i > $i > $i ).

thf(bit1_type,type,
    bit1: $i > $i ).

thf(int_type,type,
    int: $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(power_power_type,type,
    power_power: $i > $i > $i ).

thf(times_times_type,type,
    times_times: $i > $i > $i ).

thf(t_type,type,
    t: $i ).

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

thf(ti_type,type,
    ti: $i > $i > $i ).

thf(ord_less_type,type,
    ord_less: $i > $i ).

thf(m_type,type,
    m: $i ).

thf(bit0_type,type,
    bit0: $i > $i ).

thf(order_type,type,
    order: $i > $o ).

thf(bool_type,type,
    bool: $i ).

thf(ord_less_eq_type,type,
    ord_less_eq: $i > $i ).

thf(fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( one_one @ int ) ) @ t ) )
   => ? [X: $i,Y: $i] :
        ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ Y ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) ) ) ).

thf(zip_derived_cl100,plain,
    ( ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__2 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__3 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) )
    | ~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( one_one @ int ) ) @ t ) ) ),
    inference(cnf,[status(esa)],[fact_2__0961_A_060_At_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).

thf(fact_37_nat__1__add__1,axiom,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ).

thf(zip_derived_cl140,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(zip_derived_cl140_001,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(fact_87_zmult__commute,axiom,
    ! [Z_1: $i,W: $i] :
      ( ( hAPP @ int @ int @ ( times_times @ int @ Z_1 ) @ W )
      = ( hAPP @ int @ int @ ( times_times @ int @ W ) @ Z_1 ) ) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_87_zmult__commute]) ).

thf(fact_91_zadd__commute,axiom,
    ! [Z_1: $i,W: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ Z_1 ) @ W )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ W ) @ Z_1 ) ) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_91_zadd__commute]) ).

thf(zip_derived_cl1798,plain,
    ( ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__2 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__3 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
    | ~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( one_one @ int ) ) @ t ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl100,zip_derived_cl140,zip_derived_cl140,zip_derived_cl215,zip_derived_cl219]) ).

thf(conj_0,conjecture,
    ? [X: $i,Y: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ Y ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] :
        ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ Y ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl1711,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X0 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ X1 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
     != ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_002,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(zip_derived_cl140_003,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(zip_derived_cl215_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_87_zmult__commute]) ).

thf(zip_derived_cl219_005,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_91_zadd__commute]) ).

thf(zip_derived_cl1744,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X0 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ X1 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) )
     != ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1711,zip_derived_cl140,zip_derived_cl140,zip_derived_cl215,zip_derived_cl219]) ).

thf(zip_derived_cl1799,plain,
    ~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less @ int ) @ ( one_one @ int ) ) @ t ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1798,zip_derived_cl1744]) ).

thf(fact_332_order__le__neq__implies__less,axiom,
    ! [X_a: $i] :
      ( ( order @ X_a )
     => ! [X_1: $i,Y_1: $i] :
          ( ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less_eq @ X_a ) @ X_1 ) @ Y_1 ) )
         => ( ( ( ti @ X_a @ X_1 )
             != ( ti @ X_a @ Y_1 ) )
           => ( hBOOL @ ( hAPP @ X_a @ bool @ ( hAPP @ X_a @ ( fun @ X_a @ bool ) @ ( ord_less @ X_a ) @ X_1 ) @ Y_1 ) ) ) ) ) ).

thf(zip_derived_cl563,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( hBOOL @ ( hAPP @ X0 @ bool @ ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( ord_less_eq @ X0 ) @ X1 ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ X0 @ bool @ ( hAPP @ X0 @ ( fun @ X0 @ bool ) @ ( ord_less @ X0 ) @ X1 ) @ X2 ) )
      | ( ( ti @ X0 @ X1 )
        = ( ti @ X0 @ X2 ) )
      | ~ ( order @ X0 ) ),
    inference(cnf,[status(esa)],[fact_332_order__le__neq__implies__less]) ).

thf(zip_derived_cl45347,plain,
    ( ~ ( hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less_eq @ int ) @ ( one_one @ int ) ) @ t ) )
    | ( ( ti @ int @ ( one_one @ int ) )
      = ( ti @ int @ t ) )
    | ~ ( order @ int ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1799,zip_derived_cl563]) ).

thf(fact_0_tpos,axiom,
    hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less_eq @ int ) @ ( one_one @ int ) ) @ t ) ).

thf(zip_derived_cl98,plain,
    hBOOL @ ( hAPP @ int @ bool @ ( hAPP @ int @ ( fun @ int @ bool ) @ ( ord_less_eq @ int ) @ ( one_one @ int ) ) @ t ),
    inference(cnf,[status(esa)],[fact_0_tpos]) ).

thf(arity_Int_Oint___Groups_Oone,axiom,
    one @ int ).

thf(zip_derived_cl1606,plain,
    one @ int,
    inference(cnf,[status(esa)],[arity_Int_Oint___Groups_Oone]) ).

thf(tsy_c_Groups_Oone__class_Oone_res,axiom,
    ! [X_a: $i] :
      ( ( one @ X_a )
     => ( ( ti @ X_a @ ( one_one @ X_a ) )
        = ( one_one @ X_a ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( ( ti @ X0 @ ( one_one @ X0 ) )
        = ( one_one @ X0 ) )
      | ~ ( one @ X0 ) ),
    inference(cnf,[status(esa)],[tsy_c_Groups_Oone__class_Oone_res]) ).

thf(zip_derived_cl2209,plain,
    ( ( ti @ int @ ( one_one @ int ) )
    = ( one_one @ int ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1606,zip_derived_cl15]) ).

thf(tsy_v_t_____res,axiom,
    ( ( ti @ int @ t )
    = t ) ).

thf(zip_derived_cl97,plain,
    ( ( ti @ int @ t )
    = t ),
    inference(cnf,[status(esa)],[tsy_v_t_____res]) ).

thf(arity_Int_Oint___Orderings_Oorder,axiom,
    order @ int ).

thf(zip_derived_cl1595,plain,
    order @ int,
    inference(cnf,[status(esa)],[arity_Int_Oint___Orderings_Oorder]) ).

thf(zip_derived_cl45417,plain,
    ( ( one_one @ int )
    = t ),
    inference(demod,[status(thm)],[zip_derived_cl45347,zip_derived_cl98,zip_derived_cl2209,zip_derived_cl97,zip_derived_cl1595]) ).

thf(fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06,axiom,
    ( ( t
      = ( one_one @ int ) )
   => ? [X: $i,Y: $i] :
        ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ Y ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
        = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) ) ) ).

thf(zip_derived_cl99,plain,
    ( ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ sk_ ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__1 ) @ ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ) )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ int @ int @ ( times_times @ int @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) @ m ) ) @ ( one_one @ int ) ) )
    | ( t
     != ( one_one @ int ) ) ),
    inference(cnf,[status(esa)],[fact_1__096t_A_061_A1_A_061_061_062_AEX_Ax_Ay_O_Ax_A_094_A2_A_L_Ay_A_094_A2_A_06]) ).

thf(zip_derived_cl140_006,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(zip_derived_cl140_007,plain,
    ( ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) )
    = ( number_number_of @ nat @ ( bit0 @ ( bit1 @ pls ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_nat__1__add__1]) ).

thf(zip_derived_cl215_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( times_times @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( times_times @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_87_zmult__commute]) ).

thf(zip_derived_cl219_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ X1 ) @ X0 )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[fact_91_zadd__commute]) ).

thf(zip_derived_cl1793,plain,
    ( ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ sk_ ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ sk__1 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) )
      = ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) )
    | ( t
     != ( one_one @ int ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl99,zip_derived_cl140,zip_derived_cl140,zip_derived_cl215,zip_derived_cl219]) ).

thf(zip_derived_cl1744_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( hAPP @ int @ int @ ( plus_plus @ int @ ( hAPP @ nat @ int @ ( power_power @ int @ X0 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) ) @ ( hAPP @ nat @ int @ ( power_power @ int @ X1 ) @ ( hAPP @ nat @ nat @ ( plus_plus @ nat @ ( one_one @ nat ) ) @ ( one_one @ nat ) ) ) )
     != ( hAPP @ int @ int @ ( plus_plus @ int @ ( one_one @ int ) ) @ ( hAPP @ int @ int @ ( times_times @ int @ m ) @ ( number_number_of @ int @ ( bit0 @ ( bit0 @ ( bit1 @ pls ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1711,zip_derived_cl140,zip_derived_cl140,zip_derived_cl215,zip_derived_cl219]) ).

thf(zip_derived_cl1794,plain,
    ( t
   != ( one_one @ int ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1793,zip_derived_cl1744]) ).

thf(zip_derived_cl45418,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl45417,zip_derived_cl1794]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM926+7 : TPTP v9.2.0. Released v5.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.O44clQJJkw true
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:33:08 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 124.04/18.35  % Solved by fo/fo13.sh.
% 124.04/18.35  % done 2487 iterations in 17.591s
% 124.04/18.35  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 124.04/18.35  % SZS output start Refutation
% See solution above
% 124.04/18.35  
% 124.04/18.35  
% 124.04/18.35  % Terminating...
% 124.04/18.38  % Runner terminated.
% 124.04/18.39  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------