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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP276^3 : 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.kGPiV91tag true

% Computer : n017.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 09:48:31 AM UTC 2026

% Result   : Theorem 123.23s 16.77s
% Output   : Refutation 123.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   25 (  22 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (  18 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   78 (   6   ~;   3   |;   0   &;  67   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^;   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

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

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

thf(deg_type,type,
    deg: nat ).

thf(one_one_nat_type,type,
    one_one_nat: nat ).

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

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

thf(ord_less_eq_nat_type,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(zero_zero_nat_type,type,
    zero_zero_nat: nat ).

thf(one_type,type,
    one: num ).

thf(fact_2986_a0,axiom,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ).

thf(zip_derived_cl3004,plain,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
    inference(cnf,[status(esa)],[fact_2986_a0]) ).

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

thf(zip_derived_cl39,plain,
    ( deg
    = ( suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_75__C1_C_I2_J]) ).

thf(fact_3357_numeral__1__eq__Suc__0,axiom,
    ( ( numeral_numeral_nat @ one )
    = ( suc @ zero_zero_nat ) ) ).

thf(zip_derived_cl3258,plain,
    ( ( numeral_numeral_nat @ one )
    = ( suc @ zero_zero_nat ) ),
    inference(cnf,[status(esa)],[fact_3357_numeral__1__eq__Suc__0]) ).

thf(zip_derived_cl6800,plain,
    ( deg
    = ( numeral_numeral_nat @ one ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl3258]) ).

thf(zip_derived_cl22920,plain,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( numeral_numeral_nat @ one ),
    inference(demod,[status(thm)],[zip_derived_cl3004,zip_derived_cl6800]) ).

thf(fact_112_order__antisym__conv,axiom,
    ! [Y: nat,X: nat] :
      ( ( ord_less_eq_nat @ Y @ X )
     => ( ( ord_less_eq_nat @ X @ Y )
      <=> ( X = Y ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( ord_less_eq_nat @ X0 @ X1 )
      | ( X0 = X1 )
      | ~ ( ord_less_eq_nat @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[fact_112_order__antisym__conv]) ).

thf(zip_derived_cl27171,plain,
    ( ( ( numeral_numeral_nat @ one )
      = ( numeral_numeral_nat @ ( bit0 @ one ) ) )
    | ~ ( ord_less_eq_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22920,zip_derived_cl78]) ).

thf(fact_3468_one__le__numeral,axiom,
    ! [N: num] : ( ord_less_eq_nat @ one_one_nat @ ( numeral_numeral_nat @ N ) ) ).

thf(zip_derived_cl3346,plain,
    ! [X0: num] : ( ord_less_eq_nat @ one_one_nat @ ( numeral_numeral_nat @ X0 ) ),
    inference(cnf,[status(esa)],[fact_3468_one__le__numeral]) ).

thf(fact_3278_numeral__One,axiom,
    ( ( numeral_numeral_nat @ one )
    = one_one_nat ) ).

thf(zip_derived_cl3205,plain,
    ( ( numeral_numeral_nat @ one )
    = one_one_nat ),
    inference(cnf,[status(esa)],[fact_3278_numeral__One]) ).

thf(zip_derived_cl12861,plain,
    ! [X0: num] : ( ord_less_eq_nat @ ( numeral_numeral_nat @ one ) @ ( numeral_numeral_nat @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3346,zip_derived_cl3205]) ).

thf(zip_derived_cl27209,plain,
    ( ( numeral_numeral_nat @ one )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl27171,zip_derived_cl12861]) ).

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

thf(zip_derived_cl3138,plain,
    ( ( suc @ one_one_nat )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    inference(cnf,[status(esa)],[fact_3212_Suc__1]) ).

thf(zip_derived_cl3205_001,plain,
    ( ( numeral_numeral_nat @ one )
    = one_one_nat ),
    inference(cnf,[status(esa)],[fact_3278_numeral__One]) ).

thf(zip_derived_cl7796,plain,
    ( ( suc @ ( numeral_numeral_nat @ one ) )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3138,zip_derived_cl3205]) ).

thf(fact_80_n__not__Suc__n,axiom,
    ! [N: nat] :
      ( N
     != ( suc @ N ) ) ).

thf(zip_derived_cl46,plain,
    ! [X0: nat] :
      ( X0
     != ( suc @ X0 ) ),
    inference(cnf,[status(esa)],[fact_80_n__not__Suc__n]) ).

thf(zip_derived_cl7802,plain,
    ( ( numeral_numeral_nat @ one )
   != ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7796,zip_derived_cl46]) ).

thf(zip_derived_cl27210,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl27209,zip_derived_cl7802]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : ITP276^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kGPiV91tag true
% 0.17/0.37  % Computer : n017.cluster.edu
% 0.17/0.37  % Model    : x86_64 x86_64
% 0.17/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37  % Memory   : 8042.1875MB
% 0.17/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37  % CPULimit : 300
% 0.17/0.37  % WCLimit  : 300
% 0.17/0.37  % DateTime : Fri Feb 27 13:41:11 EST 2026
% 0.17/0.37  % CPUTime  : 
% 0.17/0.37  % Running portfolio for 300 s
% 0.17/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.37  % Number of cores: 8
% 0.25/0.37  % Python version: Python 3.6.8
% 0.25/0.37  % Running in HO mode
% 0.38/0.61  % Total configuration time : 828
% 0.38/0.61  % Estimated wc time : 1656
% 0.38/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.69  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.70  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.71  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.73  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.99/1.23  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 123.23/16.77  % Solved by lams/40_c.s.sh.
% 123.23/16.77  % done 1128 iterations in 16.048s
% 123.23/16.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 123.23/16.77  % SZS output start Refutation
% See solution above
% 123.23/16.77  
% 123.23/16.77  
% 123.23/16.77  % Terminating...
% 114.02/16.89  % Runner terminated.
% 17.89/16.92  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------