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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV413+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xBaZa1i6zu 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 05:01:02 PM UTC 2025

% Result   : Theorem 0.56s 0.79s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   94 (   8   ~;   4   |;   7   &;  72   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (   0   ^;  17   !;   2   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(strictly_less_than_type,type,
    strictly_less_than: $i > $i > $o ).

thf(sk__type,type,
    sk_: $i ).

thf(less_than_type,type,
    less_than: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(update_slb_type,type,
    update_slb: $i > $i > $i ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(pair_in_list_type,type,
    pair_in_list: $i > $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(l49_li3637,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( less_than @ X @ W ) )
     => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ W ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pair_in_list @ X0 @ X1 @ X2 )
      | ~ ( less_than @ X3 @ X2 )
      | ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[l49_li3637]) ).

thf(l49_co,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( strictly_less_than @ V @ X )
        & ( less_than @ X @ W ) )
     => ? [Y: $i] :
          ( ( less_than @ X @ Y )
          & ( pair_in_list @ ( update_slb @ U @ X ) @ V @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ( ( pair_in_list @ U @ V @ W )
          & ( strictly_less_than @ V @ X )
          & ( less_than @ X @ W ) )
       => ? [Y: $i] :
            ( ( less_than @ X @ Y )
            & ( pair_in_list @ ( update_slb @ U @ X ) @ V @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[l49_co]) ).

thf(zip_derived_cl27,plain,
    less_than @ sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i] :
      ( ~ ( less_than @ sk__3 @ X0 )
      | ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl158,plain,
    ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__2 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl26]) ).

thf(zip_derived_cl227,plain,
    ( ~ ( less_than @ sk__3 @ sk__2 )
    | ~ ( pair_in_list @ sk_ @ sk__1 @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl158]) ).

thf(zip_derived_cl27_001,plain,
    less_than @ sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29,plain,
    pair_in_list @ sk_ @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl231,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl227,zip_derived_cl27,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV413+1 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xBaZa1i6zu true
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 12:42:38 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
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % 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
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.79  % Solved by fo/fo6_bce.sh.
% 0.56/0.79  % BCE start: 30
% 0.56/0.79  % BCE eliminated: 0
% 0.56/0.79  % PE start: 30
% 0.56/0.79  logic: eq
% 0.56/0.79  % PE eliminated: 2
% 0.56/0.79  % done 66 iterations in 0.030s
% 0.56/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79  % SZS output start Refutation
% See solution above
% 0.56/0.79  
% 0.56/0.79  
% 0.56/0.79  % Terminating...
% 0.58/0.86  % Runner terminated.
% 1.64/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------