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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP276_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CCGGRDqkFc true

% Computer : n009.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 04:39:45 PM UTC 2025

% Result   : Theorem 14.16s 2.59s
% Output   : Refutation 14.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   12 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   54 (   2   ~;   0   |;   0   &;  52   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    9 (   8 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^;   2   !;   0   ?;   2   :)

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

thf(fun_nat_bool_type,type,
    fun_nat_bool: $tType ).

thf(fun_nat_fun_nat_bool_type,type,
    fun_nat_fun_nat_bool: $tType ).

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

thf(fun_num_nat_type,type,
    fun_num_nat: $tType ).

thf(num_type,type,
    num: $tType ).

thf(fun_num_num_type,type,
    fun_num_num: $tType ).

thf(fun_nat_nat_type,type,
    fun_nat_nat: $tType ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(aa_num_nat_type,type,
    aa_num_nat: fun_num_nat > num > nat ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(aa_nat_fun_nat_bool_type,type,
    aa_nat_fun_nat_bool: fun_nat_fun_nat_bool > nat > fun_nat_bool ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(aa_nat_bool_type,type,
    aa_nat_bool: fun_nat_bool > nat > bool ).

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: fun_nat_fun_nat_bool ).

thf(suc_type,type,
    suc: fun_nat_nat ).

thf(aa_num_num_type,type,
    aa_num_num: fun_num_num > num > num ).

thf(pp_type,type,
    pp: bool > $o ).

thf(deg_type,type,
    deg: nat ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(aa_nat_nat_type,type,
    aa_nat_nat: fun_nat_nat > nat > nat ).

thf(one_type,type,
    one: num ).

thf(fact_2986_a0,axiom,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ) ).

thf(zip_derived_cl1168,plain,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ deg ),
    inference(cnf,[status(esa)],[fact_2986_a0]) ).

thf(fact_3212_Suc__1,axiom,
    ( ( aa_nat_nat @ suc @ one_one_nat )
    = ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ).

thf(zip_derived_cl1207,plain,
    ( ( aa_nat_nat @ suc @ one_one_nat )
    = ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ),
    inference(cnf,[status(esa)],[fact_3212_Suc__1]) ).

thf(fact_75__C1_C_I2_J,axiom,
    ( deg
    = ( aa_nat_nat @ suc @ zero_zero_nat ) ) ).

thf(zip_derived_cl28,plain,
    ( deg
    = ( aa_nat_nat @ suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_75__C1_C_I2_J]) ).

thf(fact_1158_One__nat__def,axiom,
    ( one_one_nat
    = ( aa_nat_nat @ suc @ zero_zero_nat ) ) ).

thf(zip_derived_cl538,plain,
    ( one_one_nat
    = ( aa_nat_nat @ suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_1158_One__nat__def]) ).

thf(zip_derived_cl1981,plain,
    deg = one_one_nat,
    inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl538]) ).

thf(fact_103_Suc__n__not__le__n,axiom,
    ! [N: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( aa_nat_nat @ suc @ N ) ) @ N ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ ord_less_eq_nat @ ( aa_nat_nat @ suc @ X0 ) ) @ X0 ) ),
    inference(cnf,[status(esa)],[fact_103_Suc__n__not__le__n]) ).

thf(zip_derived_cl2258,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1168,zip_derived_cl1207,zip_derived_cl1981,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : ITP276_1 : TPTP v9.2.0. Released v8.0.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CCGGRDqkFc true
% 0.11/0.32  % Computer : n009.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 15:27:23 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.44/0.57  % Total configuration time : 435
% 0.44/0.57  % Estimated wc time : 1092
% 0.44/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.69  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.69  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.69  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.69  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.70  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.16/2.59  % Solved by fo/fo7.sh.
% 14.16/2.59  % done 407 iterations in 1.870s
% 14.16/2.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.16/2.59  % SZS output start Refutation
% See solution above
% 14.16/2.59  
% 14.16/2.59  
% 14.16/2.59  % Terminating...
% 14.74/2.70  % Runner terminated.
% 14.74/2.73  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------