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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP238_1 : TPTP v9.2.0. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0K5f7OlWgL true

% Computer : n007.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 04:39:26 PM UTC 2025

% Result   : Theorem 21.49s 3.70s
% Output   : Refutation 21.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   24 (  17 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  166 (  10   ~;   4   |;   0   &; 150   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(option_nat_type,type,
    option_nat: $tType ).

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

thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(list_VEBT_VEBT_type,type,
    list_VEBT_VEBT: $tType ).

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

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

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

thf(xa_type,type,
    xa: nat ).

thf(none_nat_type,type,
    none_nat: option_nat ).

thf(nth_VEBT_VEBT_type,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(divide_divide_nat_type,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

thf(aa_nat_fun_nat_nat_type,type,
    aa_nat_fun_nat_nat: fun_nat_fun_nat_nat > nat > fun_nat_nat ).

thf(suc_type,type,
    suc: fun_nat_nat ).

thf(treeList_type,type,
    treeList: list_VEBT_VEBT ).

thf(vEBT_vebt_mint_type,type,
    vEBT_vebt_mint: vEBT_VEBT > option_nat ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(sk__type,type,
    sk_: option_nat > nat ).

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

thf(one_type,type,
    one: num ).

thf(some_nat_type,type,
    some_nat: nat > option_nat ).

thf(deg_type,type,
    deg: nat ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(vEBT_VEBT_high_type,type,
    vEBT_VEBT_high: fun_nat_fun_nat_nat ).

thf(thesis_type,type,
    thesis: $o ).

thf(fact_37_not__Some__eq,axiom,
    ! [X: option_nat] :
      ( ! [Y3: nat] :
          ( X
         != ( some_nat @ Y3 ) )
    <=> ( X = none_nat ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: option_nat] :
      ( ( X0 = none_nat )
      | ( X0
        = ( some_nat @ ( sk_ @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[fact_37_not__Some__eq]) ).

thf(conj_0,axiom,
    ! [Minilow: nat] :
      ( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
        = ( some_nat @ Minilow ) )
     => thesis ) ).

thf(zip_derived_cl926,plain,
    ! [X0: nat] :
      ( thesis
      | ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
       != ( some_nat @ X0 ) ) ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_1123_Suc__1,axiom,
    ( ( aa_nat_nat @ suc @ one_one_nat )
    = ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ).

thf(zip_derived_cl181,plain,
    ( ( aa_nat_nat @ suc @ one_one_nat )
    = ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ),
    inference(cnf,[status(esa)],[fact_1123_Suc__1]) ).

thf(zip_derived_cl11266,plain,
    ! [X0: nat] :
      ( thesis
      | ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_nat_nat @ suc @ one_one_nat ) ) ) ) )
       != ( some_nat @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl926,zip_derived_cl181]) ).

thf(conj_1,conjecture,
    thesis ).

thf(zf_stmt_0,negated_conjecture,
    ~ thesis,
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl927,plain,
    ~ thesis,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11267,plain,
    ! [X0: nat] :
      ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_nat_nat @ suc @ one_one_nat ) ) ) ) )
     != ( some_nat @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl11266,zip_derived_cl927]) ).

thf(zip_derived_cl11270,plain,
    ! [X0: option_nat] :
      ( ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_nat_nat @ suc @ one_one_nat ) ) ) ) )
       != X0 )
      | ( X0 = none_nat ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl11267]) ).

thf(zip_derived_cl12273,plain,
    ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_nat_nat @ suc @ one_one_nat ) ) ) ) )
    = none_nat ),
    inference(eq_res,[status(thm)],[zip_derived_cl11270]) ).

thf(fact_0_False,axiom,
    ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
   != none_nat ) ).

thf(zip_derived_cl0,plain,
    ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) )
   != none_nat ),
    inference(cnf,[status(esa)],[fact_0_False]) ).

thf(zip_derived_cl181_001,plain,
    ( ( aa_nat_nat @ suc @ one_one_nat )
    = ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ),
    inference(cnf,[status(esa)],[fact_1123_Suc__1]) ).

thf(zip_derived_cl1094,plain,
    ( ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ vEBT_VEBT_high @ xa ) @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ deg ) @ ( aa_nat_nat @ suc @ one_one_nat ) ) ) ) )
   != none_nat ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl181]) ).

thf(zip_derived_cl12274,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl12273,zip_derived_cl1094]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP238_1 : TPTP v9.2.0. Released v8.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0K5f7OlWgL true
% 0.14/0.35  % Computer : n007.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 15:25:23 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.54/0.67  % Total configuration time : 435
% 0.54/0.67  % Estimated wc time : 1092
% 0.54/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.35/1.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 21.49/3.70  % Solved by fo/fo7.sh.
% 21.49/3.70  % done 4002 iterations in 2.938s
% 21.49/3.70  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 21.49/3.70  % SZS output start Refutation
% See solution above
% 21.49/3.70  
% 21.49/3.70  
% 21.49/3.70  % Terminating...
% 21.98/3.77  % Runner terminated.
% 21.98/3.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------