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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM295+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sZOOZbnb1U true

% Computer : n009.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 04:46:06 PM UTC 2025

% Result   : Theorem 0.57s 0.79s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   59 (   7   ~;   3   |;   1   &;  47   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0   ^;  16   !;   4   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n1_type,type,
    n1: $i ).

thf(rdnn_type,type,
    rdnn: $i > $i ).

thf(rdn_pos_type,type,
    rdn_pos: $i > $i ).

thf(nn1_type,type,
    nn1: $i ).

thf(rdn_neg_type,type,
    rdn_neg: $i > $i ).

thf(n0_type,type,
    n0: $i ).

thf(rdn_translate_type,type,
    rdn_translate: $i > $i > $o ).

thf(less_type,type,
    less: $i > $i > $o ).

thf(rdnn1,axiom,
    rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ) ).

thf(zip_derived_cl128,plain,
    rdn_translate @ nn1 @ ( rdn_neg @ ( rdnn @ n1 ) ),
    inference(cnf,[status(esa)],[rdnn1]) ).

thf(rdn0,axiom,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ) ).

thf(zip_derived_cl0,plain,
    rdn_translate @ n0 @ ( rdn_pos @ ( rdnn @ n0 ) ),
    inference(cnf,[status(esa)],[rdn0]) ).

thf(less_entry_point_neg_pos,axiom,
    ! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
      ( ( ( rdn_translate @ X @ ( rdn_neg @ RDN_X ) )
        & ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) ) )
     => ( less @ X @ Y ) ) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( less @ X0 @ X1 )
      | ~ ( rdn_translate @ X0 @ ( rdn_neg @ X2 ) )
      | ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) ) ),
    inference(cnf,[status(esa)],[less_entry_point_neg_pos]) ).

thf(something_less_something,conjecture,
    ? [X: $i,Y: $i] : ( less @ X @ Y ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [X: $i,Y: $i] : ( less @ X @ Y ),
    inference('cnf.neg',[status(esa)],[something_less_something]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i,X1: $i] :
      ~ ( less @ X0 @ X1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
      | ~ ( rdn_translate @ X0 @ ( rdn_neg @ X2 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl281,zip_derived_cl406]) ).

thf(zip_derived_cl1402,plain,
    ! [X0: $i,X1: $i] :
      ~ ( rdn_translate @ X1 @ ( rdn_neg @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1401]) ).

thf(zip_derived_cl1410,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl128,zip_derived_cl1402]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM295+1 : TPTP v9.2.0. Released v3.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.sZOOZbnb1U true
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 16:43:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79  % Solved by fo/fo6_bce.sh.
% 0.57/0.79  % BCE start: 407
% 0.57/0.79  % BCE eliminated: 1
% 0.57/0.79  % PE start: 406
% 0.57/0.79  logic: eq
% 0.57/0.79  % PE eliminated: 5
% 0.57/0.79  % done 27 iterations in 0.059s
% 0.57/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79  % SZS output start Refutation
% See solution above
% 0.57/0.79  
% 0.57/0.79  
% 0.57/0.79  % Terminating...
% 0.57/0.85  % Runner terminated.
% 1.74/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------