TSTP Solution File: NUM925_3 by Zipperpin---2.1.9999

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM925_3 : 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.TzzkXVOa0I true

% Computer : n025.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 12:44:52 EDT 2023

% Result   : Theorem 0.98s 0.98s
% Output   : Refutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   41 (  16 unt;  21 typ;   0 def)
%            Number of atoms       :   24 (  18 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  106 (   8   ~;   3   |;   0   &;  94   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    7 (   6 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

thf(fun_int_bool_type,type,
    fun_int_bool: $tType ).

thf(fun_int_fun_int_bool_type,type,
    fun_int_fun_int_bool: $tType ).

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

thf(fun_nat_int_type,type,
    fun_nat_int: $tType ).

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

thf(hAPP_int_bool_type,type,
    hAPP_int_bool: fun_int_bool > int > bool ).

thf(one_one_int_type,type,
    one_one_int: int ).

thf(ord_less_int_type,type,
    ord_less_int: fun_int_fun_int_bool ).

thf(plus_plus_int_type,type,
    plus_plus_int: int > int > int ).

thf(hAPP_nat_int_type,type,
    hAPP_nat_int: fun_nat_int > nat > int ).

thf(number_number_of_nat_type,type,
    number_number_of_nat: int > nat ).

thf(semiri1621563631at_int_type,type,
    semiri1621563631at_int: fun_nat_int ).

thf(hAPP_i1948725293t_bool_type,type,
    hAPP_i1948725293t_bool: fun_int_fun_int_bool > int > fun_int_bool ).

thf(pls_type,type,
    pls: int ).

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

thf(bit0_type,type,
    bit0: int > int ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

thf(power_power_int_type,type,
    power_power_int: int > fun_nat_int ).

thf(n_type,type,
    n: nat ).

thf(bit1_type,type,
    bit1: int > int ).

thf(fact_0_n1pos,axiom,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) ).

thf(zip_derived_cl0,plain,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ zero_zero_int ) @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
    inference(cnf,[status(esa)],[fact_0_n1pos]) ).

thf(fact_98_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl94,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl491,plain,
    hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl94]) ).

thf(conj_0,conjecture,
    ( ( hAPP_nat_int @ ( power_power_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
   != zero_zero_int ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( hAPP_nat_int @ ( power_power_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl489,plain,
    ( ( hAPP_nat_int @ ( power_power_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl94_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl1299,plain,
    ( ( hAPP_nat_int @ ( power_power_int @ ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = pls ),
    inference(demod,[status(thm)],[zip_derived_cl489,zip_derived_cl94]) ).

thf(fact_231_field__power__not__zero,axiom,
    ! [N_20: nat,A_94: int] :
      ( ( A_94 != zero_zero_int )
     => ( ( hAPP_nat_int @ ( power_power_int @ A_94 ) @ N_20 )
       != zero_zero_int ) ) ).

thf(zip_derived_cl155,plain,
    ! [X0: int,X1: nat] :
      ( ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ X1 )
       != zero_zero_int )
      | ( X0 = zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_231_field__power__not__zero]) ).

thf(zip_derived_cl94_002,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl94_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_98_Pls__def]) ).

thf(zip_derived_cl898,plain,
    ! [X0: int,X1: nat] :
      ( ( ( hAPP_nat_int @ ( power_power_int @ X0 ) @ X1 )
       != pls )
      | ( X0 = pls ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl94,zip_derived_cl94]) ).

thf(zip_derived_cl1301,plain,
    ( ( pls != pls )
    | ( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
      = pls ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1299,zip_derived_cl898]) ).

thf(zip_derived_cl1335,plain,
    ( ( plus_plus_int @ one_one_int @ ( hAPP_nat_int @ semiri1621563631at_int @ n ) )
    = pls ),
    inference(simplify,[status(thm)],[zip_derived_cl1301]) ).

thf(fact_48_rel__simps_I2_J,axiom,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ) ).

thf(zip_derived_cl32,plain,
    ~ ( hBOOL @ ( hAPP_int_bool @ ( hAPP_i1948725293t_bool @ ord_less_int @ pls ) @ pls ) ),
    inference(cnf,[status(esa)],[fact_48_rel__simps_I2_J]) ).

thf(zip_derived_cl1459,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl491,zip_derived_cl1335,zip_derived_cl32]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM925_3 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TzzkXVOa0I true
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 17:24:52 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.65/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.65/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.65/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.65/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.65/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.98/0.98  % Solved by fo/fo4.sh.
% 0.98/0.98  % done 187 iterations in 0.212s
% 0.98/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.98/0.98  % SZS output start Refutation
% See solution above
% 0.98/0.98  
% 0.98/0.98  
% 0.98/0.98  % Terminating...
% 1.02/1.06  % Runner terminated.
% 1.02/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------