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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP280^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xpT0TE1Hb8 true

% Computer : n026.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 09:48:32 AM UTC 2026

% Result   : Theorem 66.52s 8.98s
% Output   : Refutation 66.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   22 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (  19 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  205 (   9   ~;   4   |;   0   &; 189   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(real_type,type,
    real: $tType ).

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

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

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

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(times_times_real_type,type,
    times_times_real: real > real > real ).

thf(one_type,type,
    one: num ).

thf(ord_less_eq_real_type,type,
    ord_less_eq_real: real > real > $o ).

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

thf(one_one_nat_type,type,
    one_one_nat: nat ).

thf(vEBT_V8646137997579335489_i_l_d_type,type,
    vEBT_V8646137997579335489_i_l_d: nat > nat ).

thf(vEBT_VEBT_cnt_type,type,
    vEBT_VEBT_cnt: vEBT_VEBT > real ).

thf(va_type,type,
    va: nat ).

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

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

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

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

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

thf(numeral_numeral_real_type,type,
    numeral_numeral_real: num > real ).

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

thf(semiri5074537144036343181t_real_type,type,
    semiri5074537144036343181t_real: nat > real ).

thf(fact_1045_mult_Ocommute,axiom,
    ! [A3: real,B2: real] :
      ( ( times_times_real @ A3 @ B2 )
      = ( times_times_real @ B2 @ A3 ) ) ).

thf(zip_derived_cl293,plain,
    ! [X0: real,X1: real] :
      ( ( times_times_real @ X1 @ X0 )
      = ( times_times_real @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_1045_mult_Ocommute]) ).

thf(fact_1__C3_OIH_C_I3_J,axiom,
    ! [X: nat] :
      ( ~ ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
     => ( ( X
          = ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) )
       => ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: nat] :
      ( ( dvd_dvd_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( suc @ ( suc @ va ) ) )
      | ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ X0 ) ) ) @ ( times_times_real @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ X0 ) ) ) @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) ) )
      | ( X0
       != ( divide_divide_nat @ ( suc @ ( suc @ va ) ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_1__C3_OIH_C_I3_J]) ).

thf(conj_0,conjecture,
    ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl765,plain,
    ~ ( ord_less_eq_real @ ( semiri5074537144036343181t_real @ ( vEBT_V8646137997579335489_i_l_d @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) @ ( times_times_real @ ( numeral_numeral_real @ ( bit1 @ ( bit0 @ ( bit1 @ one ) ) ) ) @ ( vEBT_VEBT_cnt @ ( vEBT_vebt_buildup @ ( suc @ ( suc @ ( divide_divide_nat @ va @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_False,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_False]) ).

thf(fact_1169_div__self,axiom,
    ! [A: nat] :
      ( ( A != zero_zero_nat )
     => ( ( divide_divide_nat @ A @ A )
        = one_one_nat ) ) ).

thf(zip_derived_cl303,plain,
    ! [X0: nat] :
      ( ( ( divide_divide_nat @ X0 @ X0 )
        = one_one_nat )
      | ( X0 = zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_1169_div__self]) ).

thf(fact_492_div__by__Suc__0,axiom,
    ! [M: nat] :
      ( ( divide_divide_nat @ M @ ( suc @ zero_zero_nat ) )
      = M ) ).

thf(zip_derived_cl139,plain,
    ! [X0: nat] :
      ( ( divide_divide_nat @ X0 @ ( suc @ zero_zero_nat ) )
      = X0 ),
    inference(cnf,[status(esa)],[fact_492_div__by__Suc__0]) ).

thf(zip_derived_cl1380,plain,
    ( ( one_one_nat
      = ( suc @ zero_zero_nat ) )
    | ( ( suc @ zero_zero_nat )
      = zero_zero_nat ) ),
    inference('sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl139]) ).

thf(fact_552_nat_Odistinct_I1_J,axiom,
    ! [X2: nat] :
      ( zero_zero_nat
     != ( suc @ X2 ) ) ).

thf(zip_derived_cl169,plain,
    ! [X0: nat] :
      ( zero_zero_nat
     != ( suc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_552_nat_Odistinct_I1_J]) ).

thf(zip_derived_cl1395,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1380,zip_derived_cl169]) ).

thf(fact_871_numeral__2__eq__2,axiom,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ) ).

thf(zip_derived_cl286,plain,
    ( ( numeral_numeral_nat @ ( bit0 @ one ) )
    = ( suc @ ( suc @ zero_zero_nat ) ) ),
    inference(cnf,[status(esa)],[fact_871_numeral__2__eq__2]) ).

thf(fact_5_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_5_div2__Suc__Suc]) ).

thf(zip_derived_cl12407,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl293,zip_derived_cl1,zip_derived_cl765,zip_derived_cl0,zip_derived_cl1395,zip_derived_cl286,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ITP280^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xpT0TE1Hb8 true
% 0.11/0.29  % Computer : n026.cluster.edu
% 0.11/0.29  % Model    : x86_64 x86_64
% 0.11/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29  % Memory   : 8042.1875MB
% 0.11/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29  % CPULimit : 300
% 0.11/0.29  % WCLimit  : 300
% 0.11/0.29  % DateTime : Fri Feb 27 14:51:40 EST 2026
% 0.11/0.30  % CPUTime  : 
% 0.11/0.30  % Running portfolio for 300 s
% 0.11/0.30  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.30  % Number of cores: 8
% 0.11/0.30  % Python version: Python 3.6.8
% 0.11/0.30  % Running in HO mode
% 0.45/0.58  % Total configuration time : 828
% 0.45/0.58  % Estimated wc time : 1656
% 0.45/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.46/0.65  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.46/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.46/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.46/0.68  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 5.65/1.31  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 66.52/8.98  % Solved by lams/40_c_ic.sh.
% 66.52/8.98  % done 739 iterations in 8.294s
% 66.52/8.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 66.52/8.98  % SZS output start Refutation
% See solution above
% 66.52/8.98  
% 66.52/8.98  
% 66.52/8.98  % Terminating...
% 67.53/9.05  % Runner terminated.
% 67.53/9.05  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------