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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP220_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.amE6H61oeK true

% Computer : n021.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 04:39:18 PM UTC 2025

% Result   : Theorem 6.88s 1.59s
% Output   : Refutation 6.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   15 (   3 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  184 (   8   ~;   3   |;   0   &; 171   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  10 avg)
%            Number of types       :   11 (  10 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   9 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^;   7   !;   0   ?;   7   :)

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

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

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

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

thf(va_type,type,
    va: nat ).

thf(one_type,type,
    one: num ).

thf(bit0_type,type,
    bit0: fun_num_num ).

thf(vEBT_VEBT_membermima_type,type,
    vEBT_VEBT_membermima: vEBT_VEBT > fun_nat_bool ).

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

thf(dvd_dvd_nat_type,type,
    dvd_dvd_nat: fun_nat_fun_nat_bool ).

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

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

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: fun_num_nat ).

thf(divide_divide_nat_type,type,
    divide_divide_nat: fun_nat_fun_nat_nat ).

thf(suc_type,type,
    suc: fun_nat_nat ).

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

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

thf(vEBT_vebt_buildup_type,type,
    vEBT_vebt_buildup: nat > vEBT_VEBT ).

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

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

thf(y_type,type,
    y: nat ).

thf(conj_0,conjecture,
    ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ y ) ) ).

thf(zf_stmt_0,negated_conjecture,
    pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ y ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl528,plain,
    pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_1__C3_OIH_C_I1_J,axiom,
    ! [X: nat,Xa: nat] :
      ( ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ dvd_dvd_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) )
     => ( ( X
          = ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) )
       => ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X ) ) @ Xa ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0
       != ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) )
      | ~ ( pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ dvd_dvd_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) )
      | ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X0 ) ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_1__C3_OIH_C_I1_J]) ).

thf(fact_0_True,axiom,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ dvd_dvd_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) ).

thf(zip_derived_cl0,plain,
    pp @ ( aa_nat_bool @ ( aa_nat_fun_nat_bool @ dvd_dvd_nat @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl576,plain,
    ! [X0: nat,X1: nat] :
      ( ( X0
       != ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) )
      | ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X0 ) ) @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl583,plain,
    ! [X0: nat] :
      ~ ( pp @ ( aa_nat_bool @ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( aa_nat_nat @ ( aa_nat_fun_nat_nat @ divide_divide_nat @ ( aa_nat_nat @ suc @ ( aa_nat_nat @ suc @ va ) ) ) @ ( aa_num_nat @ numeral_numeral_nat @ ( aa_num_num @ bit0 @ one ) ) ) ) ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl576]) ).

thf(zip_derived_cl663,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl583]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP220_1 : TPTP v9.2.0. Released v8.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.amE6H61oeK true
% 0.14/0.35  % Computer : n021.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 15:30:38 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.55/0.66  % Total configuration time : 435
% 0.55/0.66  % Estimated wc time : 1092
% 0.55/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.88/1.59  % Solved by fo/fo4.sh.
% 6.88/1.59  % done 72 iterations in 0.779s
% 6.88/1.59  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.88/1.59  % SZS output start Refutation
% See solution above
% 6.88/1.59  
% 6.88/1.59  
% 6.88/1.59  % Terminating...
% 7.45/1.68  % Runner terminated.
% 7.45/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------