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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV412+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NibfPMre06 true

% Computer : n001.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 0.58s 0.76s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   21 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (   6   ~;   3   |;   5   &;  65   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

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

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

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

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

thf(l48_co,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( strictly_less_than @ V @ X )
        & ( strictly_less_than @ W @ X ) )
     => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).

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 )
          & ( strictly_less_than @ W @ X ) )
       => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ),
    inference('cnf.neg',[status(esa)],[l48_co]) ).

thf(zip_derived_cl26,plain,
    ~ ( pair_in_list @ ( update_slb @ sk_ @ sk__3 ) @ sk__1 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(l48_li3839,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( pair_in_list @ U @ V @ W )
        & ( strictly_less_than @ W @ X ) )
     => ( pair_in_list @ ( update_slb @ U @ X ) @ V @ X ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( pair_in_list @ X0 @ X1 @ X2 )
      | ~ ( strictly_less_than @ X2 @ X3 )
      | ( pair_in_list @ ( update_slb @ X0 @ X3 ) @ X1 @ X3 ) ),
    inference(cnf,[status(esa)],[l48_li3839]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i] :
      ( ( pair_in_list @ ( update_slb @ X1 @ sk__3 ) @ X0 @ sk__3 )
      | ~ ( pair_in_list @ X1 @ X0 @ sk__2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl25]) ).

thf(zip_derived_cl169,plain,
    ~ ( pair_in_list @ sk_ @ sk__1 @ sk__2 ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl122]) ).

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

thf(zip_derived_cl171,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl169,zip_derived_cl29]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV412+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NibfPMre06 true
% 0.14/0.35  % Computer : n001.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 12:26:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/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
% 0.57/0.64  % Total configuration time : 435
% 0.57/0.64  % Estimated wc time : 1092
% 0.57/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % Solved by fo/fo3_bce.sh.
% 0.58/0.76  % BCE start: 30
% 0.58/0.76  % BCE eliminated: 0
% 0.58/0.76  % PE start: 30
% 0.58/0.76  logic: eq
% 0.58/0.76  % PE eliminated: -2
% 0.58/0.76  % done 35 iterations in 0.014s
% 0.58/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.76  % SZS output start Refutation
% See solution above
% 0.58/0.76  
% 0.58/0.76  
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.76  % Terminating...
% 0.64/0.85  % Runner terminated.
% 0.64/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------