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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP220^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qUpL5GU8yG true

% Computer : n020.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 : Sat Feb 28 09:48:08 AM UTC 2026

% Result   : Theorem 6.94s 1.56s
% Output   : Refutation 6.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  11 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  189 (  10   ~;   3   |;   0   &; 174   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^;  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

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

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

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(vEBT_VEBT_membermima_type,type,
    vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).

thf(one_type,type,
    one: num ).

thf(numeral_numeral_nat_type,type,
    numeral_numeral_nat: num > nat ).

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

thf(suc_type,type,
    suc: nat > nat ).

thf(dvd_dvd_nat_type,type,
    dvd_dvd_nat: nat > nat > $o ).

thf(va_type,type,
    va: nat ).

thf(divide_divide_nat_type,type,
    divide_divide_nat: nat > nat > nat ).

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

thf(y_type,type,
    y: nat ).

thf(conj_0,conjecture,
    ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y ) ).

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

thf(zip_derived_cl291,plain,
    vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ y,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_182_numeral__2__eq__2,axiom,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ) ).

thf(zip_derived_cl63,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_182_numeral__2__eq__2]) ).

thf(fact_4_div2__Suc__Suc,axiom,
    ! [M: nat] :
      ( ( divide_divide_nat @ ( suc @ ( suc @ M ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( suc @ ( divide_divide_nat @ M @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat] :
      ( ( divide_divide_nat @ ( suc @ ( suc @ X0 ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) )
      = ( suc @ ( divide_divide_nat @ X0 @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_4_div2__Suc__Suc]) ).

thf(zip_derived_cl63_001,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_182_numeral__2__eq__2]) ).

thf(zip_derived_cl63_002,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_182_numeral__2__eq__2]) ).

thf(zip_derived_cl480,plain,
    ! [X0: nat] :
      ( ( divide_divide_nat @ ( suc @ ( suc @ X0 ) ) @ ( suc @ ( suc @ zero_zero_nat ) ) )
      = ( suc @ ( divide_divide_nat @ X0 @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl63,zip_derived_cl63]) ).

thf(fact_1__C3_OIH_C_I1_J,axiom,
    ! [X: nat,Xa: nat] :
      ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
     => ( ( X
          = ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
       => ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ X ) @ Xa ) ) ) ).

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

thf(zip_derived_cl296,plain,
    ! [X1: nat] :
      ( ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ X1 )
      | ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1]) ).

thf(fact_0_True,axiom,
    dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) ).

thf(zip_derived_cl0,plain,
    dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ),
    inference(cnf,[status(esa)],[fact_0_True]) ).

thf(zip_derived_cl297,plain,
    ! [X1: nat] :
      ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl296,zip_derived_cl0]) ).

thf(zip_derived_cl63_003,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_182_numeral__2__eq__2]) ).

thf(zip_derived_cl299,plain,
    ! [X1: nat] :
      ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl297,zip_derived_cl63]) ).

thf(zip_derived_cl480_004,plain,
    ! [X0: nat] :
      ( ( divide_divide_nat @ ( suc @ ( suc @ X0 ) ) @ ( suc @ ( suc @ zero_zero_nat ) ) )
      = ( suc @ ( divide_divide_nat @ X0 @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl63,zip_derived_cl63]) ).

thf(zip_derived_cl481,plain,
    ! [X1: nat] :
      ~ ( vEBT_VEBT_membermima @ ( vEBT_vebt_buildup @ ( suc @ ( divide_divide_nat @ va @ ( suc @ ( suc @ zero_zero_nat ) ) ) ) ) @ X1 ),
    inference(demod,[status(thm)],[zip_derived_cl299,zip_derived_cl480]) ).

thf(zip_derived_cl1704,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl63,zip_derived_cl480,zip_derived_cl481]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP220^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qUpL5GU8yG true
% 0.18/0.35  % Computer : n020.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Thu Feb 26 07:00:12 EST 2026
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.36  % Python version: Python 3.6.8
% 0.18/0.36  % Running in HO mode
% 0.56/0.67  % Total configuration time : 828
% 0.56/0.67  % Estimated wc time : 1656
% 0.56/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.27/1.19  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 6.94/1.56  % Solved by lams/40_c_ic.sh.
% 6.94/1.56  % done 182 iterations in 0.799s
% 6.94/1.56  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.94/1.56  % SZS output start Refutation
% See solution above
% 6.94/1.56  
% 6.94/1.56  
% 6.94/1.56  % Terminating...
% 7.64/1.68  % Runner terminated.
% 7.64/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------