%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM924+4 : 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.MEctn61ZAL true

% Computer : n006.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 12:44:49 EDT 2023

% Result   : Theorem 10.39s 2.11s
% Output   : Refutation 10.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   49 (  26 unt;  23 typ;   0 def)
%            Number of atoms       :   26 (  17 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  352 (   4   ~;   0   |;   0   &; 348   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  16 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hAPP_int_fun_nat_int_type,type,
    hAPP_int_fun_nat_int: $i > $i > $i ).

thf(plus_plus_int_type,type,
    plus_plus_int: $i ).

thf(one_one_int_type,type,
    one_one_int: $i ).

thf(times_times_int_type,type,
    times_times_int: $i ).

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

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

thf(power_power_int_type,type,
    power_power_int: $i ).

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

thf(hAPP_nat_int_type,type,
    hAPP_nat_int: $i > $i > $i ).

thf(succ_type,type,
    succ: $i ).

thf(pls_type,type,
    pls: $i ).

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

thf(hAPP_int_int_type,type,
    hAPP_int_int: $i > $i > $i ).

thf(hAPP_i1948725293t_bool_type,type,
    hAPP_i1948725293t_bool: $i > $i > $i ).

thf(s_type,type,
    s: $i ).

thf(hAPP_int_fun_int_int_type,type,
    hAPP_int_fun_int_int: $i > $i > $i ).

thf(zero_zero_int_type,type,
    zero_zero_int: $i ).

thf(hAPP_int_nat_type,type,
    hAPP_int_nat: $i > $i > $i ).

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

thf(number_number_of_nat_type,type,
    number_number_of_nat: $i ).

thf(number_number_of_int_type,type,
    number_number_of_int: $i ).

thf(hAPP_int_bool_type,type,
    hAPP_int_bool: $i > $i > $i ).

thf(ord_less_int_type,type,
    ord_less_int: $i ).

thf(conj_0,conjecture,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl7768,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_256_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl437,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_256_Pls__def]) ).

thf(zip_derived_cl7800,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ one_one_int ) ) @ zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl7768,zip_derived_cl437]) ).

thf(fact_3294_succ__def,axiom,
    ! [K_2: $i] :
      ( ( hAPP_int_int @ succ @ K_2 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ K_2 ) @ one_one_int ) ) ).

thf(zip_derived_cl4553,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ succ @ X0 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_3294_succ__def]) ).

thf(zip_derived_cl7831,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ succ @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) ) @ zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl7800,zip_derived_cl4553]) ).

thf(fact_3_t,axiom,
    ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int )
    = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) ).

thf(zip_derived_cl62,plain,
    ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ one_one_int )
    = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ),
    inference(cnf,[status(esa)],[fact_3_t]) ).

thf(zip_derived_cl437_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_256_Pls__def]) ).

thf(zip_derived_cl4553_002,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ succ @ X0 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_3294_succ__def]) ).

thf(zip_derived_cl437_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_256_Pls__def]) ).

thf(zip_derived_cl4553_004,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ succ @ X0 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_3294_succ__def]) ).

thf(zip_derived_cl7853,plain,
    ( ( hAPP_int_int @ succ @ ( hAPP_nat_int @ ( hAPP_int_fun_nat_int @ power_power_int @ s ) @ ( hAPP_int_nat @ number_number_of_nat @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) )
    = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ succ @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) ) @ t ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl437,zip_derived_cl4553,zip_derived_cl437,zip_derived_cl4553]) ).

thf(fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096,axiom,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ) ).

thf(zip_derived_cl61,plain,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ t ) ) @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ pls ) ) ) ) ) @ m ) ) @ one_one_int ) ) @ zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_2__096_I4_A_K_Am_A_L_A1_J_A_K_At_A_060_A_I4_A_K_Am_A_L_A1_J_A_K_A0_096]) ).

thf(zip_derived_cl437_005,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_256_Pls__def]) ).

thf(zip_derived_cl4553_006,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ succ @ X0 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_3294_succ__def]) ).

thf(zip_derived_cl437_007,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_256_Pls__def]) ).

thf(zip_derived_cl4553_008,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ succ @ X0 )
      = ( hAPP_int_int @ ( hAPP_int_fun_int_int @ plus_plus_int @ X0 ) @ one_one_int ) ),
    inference(cnf,[status(esa)],[fact_3294_succ__def]) ).

thf(fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
    ! [A_221: $i] :
      ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ A_221 ) @ zero_zero_int )
      = zero_zero_int ) ).

thf(zip_derived_cl822,plain,
    ! [X0: $i] :
      ( ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ X0 ) @ zero_zero_int )
      = zero_zero_int ),
    inference(cnf,[status(esa)],[fact_590_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J]) ).

thf(zip_derived_cl7849,plain,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ succ @ ( hAPP_int_int @ ( hAPP_int_fun_int_int @ times_times_int @ ( hAPP_int_int @ number_number_of_int @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit0 @ ( hAPP_int_int @ bit1 @ zero_zero_int ) ) ) ) ) @ m ) ) ) @ t ) ) @ zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl61,zip_derived_cl437,zip_derived_cl4553,zip_derived_cl437,zip_derived_cl4553,zip_derived_cl822]) ).

thf(zip_derived_cl7854,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7831,zip_derived_cl7853,zip_derived_cl7849]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM924+4 : 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.MEctn61ZAL true
% 0.18/0.35  % Computer : n006.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Fri Aug 25 09:24:07 EDT 2023
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 10.39/2.11  % Solved by fo/fo13.sh.
% 10.39/2.11  % done 0 iterations in 1.333s
% 10.39/2.11  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.39/2.11  % SZS output start Refutation
% See solution above
% 10.39/2.11  
% 10.39/2.11  
% 10.39/2.11  % Terminating...
% 11.05/2.20  % Runner terminated.
% 11.05/2.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------