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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM925_1 : 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.zRiIPgq8SY true

% Computer : n012.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 04:48:41 PM UTC 2025

% Result   : Theorem 1.09s 0.78s
% Output   : Refutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (  18 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   80 (   7   ~;   3   |;   0   &;  69   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf(int_type,type,
    int: $tType ).

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

thf(semiri1621563631at_int_type,type,
    semiri1621563631at_int: nat > int ).

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

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

thf(ord_less_int_type,type,
    ord_less_int: int > int > $o ).

thf(one_one_int_type,type,
    one_one_int: int ).

thf(zero_zero_int_type,type,
    zero_zero_int: int ).

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

thf(n_type,type,
    n: nat ).

thf(pls_type,type,
    pls: int ).

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

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

thf(fact_0_n1pos,axiom,
    ord_less_int @ zero_zero_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) ).

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

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

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

thf(zip_derived_cl151,plain,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
    = zero_zero_int ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_78_Pls__def,axiom,
    pls = zero_zero_int ).

thf(zip_derived_cl116,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl393,plain,
    ( ( power_power_int @ ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) ) @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) )
    = zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl116]) ).

thf(fact_7_zero__eq__power2,axiom,
    ! [A_1: int] :
      ( ( ( power_power_int @ A_1 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
        = zero_zero_int )
    <=> ( A_1 = zero_zero_int ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: int] :
      ( ( X0 = zero_zero_int )
      | ( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ pls ) ) ) )
       != zero_zero_int ) ),
    inference(cnf,[status(esa)],[fact_7_zero__eq__power2]) ).

thf(zip_derived_cl116_001,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl410,plain,
    ! [X0: int] :
      ( ( X0 = zero_zero_int )
      | ( ( power_power_int @ X0 @ ( number_number_of_nat @ ( bit0 @ ( bit1 @ zero_zero_int ) ) ) )
       != zero_zero_int ) ),
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl116]) ).

thf(zip_derived_cl412,plain,
    ( ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
      = zero_zero_int )
    | ( zero_zero_int != zero_zero_int ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl410]) ).

thf(zip_derived_cl415,plain,
    ( ( plus_plus_int @ one_one_int @ ( semiri1621563631at_int @ n ) )
    = zero_zero_int ),
    inference(simplify,[status(thm)],[zip_derived_cl412]) ).

thf(fact_36_rel__simps_I2_J,axiom,
    ~ ( ord_less_int @ pls @ pls ) ).

thf(zip_derived_cl46,plain,
    ~ ( ord_less_int @ pls @ pls ),
    inference(cnf,[status(esa)],[fact_36_rel__simps_I2_J]) ).

thf(zip_derived_cl116_002,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl116_003,plain,
    pls = zero_zero_int,
    inference(cnf,[status(esa)],[fact_78_Pls__def]) ).

thf(zip_derived_cl361,plain,
    ~ ( ord_less_int @ zero_zero_int @ zero_zero_int ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl116,zip_derived_cl116]) ).

thf(zip_derived_cl437,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl415,zip_derived_cl361]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : NUM925_1 : TPTP v9.2.0. Released v5.3.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zRiIPgq8SY true
% 0.14/0.37  % Computer : n012.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Wed Oct  1 16:45:38 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.14/0.37  % Python version: Python 3.6.8
% 0.14/0.37  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.99/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.09/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.09/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.09/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.78  % Solved by fo/fo6_bce.sh.
% 1.09/0.78  % BCE start: 152
% 1.09/0.78  % BCE eliminated: 1
% 1.09/0.78  % PE start: 151
% 1.09/0.78  logic: eq
% 1.09/0.78  % PE eliminated: 0
% 1.09/0.78  % done 49 iterations in 0.031s
% 1.09/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.09/0.78  % SZS output start Refutation
% See solution above
% 1.09/0.78  
% 1.09/0.78  
% 1.09/0.78  % Terminating...
% 1.45/0.87  % Runner terminated.
% 1.71/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------