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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV408+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.IAuxdc1lAC 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 : Thu Oct  2 05:01:01 PM UTC 2025

% Result   : Theorem 0.58s 0.87s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   28 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   62 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  284 (  16   ~;  24   |;   6   &; 234   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   33 (   0   ^;  30   !;   3   ?;  33   :)

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

thf(findmin_pqp_res_type,type,
    findmin_pqp_res: $i > $i ).

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

thf(create_slb_type,type,
    create_slb: $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(findmin_cpq_res_type,type,
    findmin_cpq_res: $i > $i ).

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

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

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

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

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

thf(triple_type,type,
    triple: $i > $i > $i > $i ).

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

thf(contains_slb_type,type,
    contains_slb: $i > $i > $o ).

thf(l44_co,conjecture,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( ( contains_slb @ V @ X )
        & ( strictly_less_than @ X @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) )
     => ( ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ ( findmin_pqp_res @ U ) )
        | ? [Y: $i] :
            ( ( less_than @ ( findmin_pqp_res @ U ) @ Y )
            & ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ Y ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [U: $i,V: $i,W: $i,X: $i] :
        ( ( ( contains_slb @ V @ X )
          & ( strictly_less_than @ X @ ( findmin_cpq_res @ ( triple @ U @ V @ W ) ) ) )
       => ( ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ ( findmin_pqp_res @ U ) )
          | ? [Y: $i] :
              ( ( less_than @ ( findmin_pqp_res @ U ) @ Y )
              & ( pair_in_list @ ( update_slb @ V @ ( findmin_pqp_res @ U ) ) @ X @ Y ) ) ) ),
    inference('cnf.neg',[status(esa)],[l44_co]) ).

thf(zip_derived_cl25,plain,
    contains_slb @ sk__2 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(ax20,axiom,
    ! [U: $i] :
      ~ ( contains_slb @ create_slb @ U ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ~ ( contains_slb @ create_slb @ X0 ),
    inference(cnf,[status(esa)],[ax20]) ).

thf(ax51,axiom,
    ! [U: $i,V: $i,W: $i,X: $i] :
      ( ( V != create_slb )
     => ( ( findmin_cpq_res @ ( triple @ U @ V @ W ) )
        = ( findmin_pqp_res @ U ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( findmin_cpq_res @ ( triple @ X0 @ X1 @ X2 ) )
        = ( findmin_pqp_res @ X0 ) )
      | ( X1 = create_slb ) ),
    inference(cnf,[status(esa)],[ax51]) ).

thf(zip_derived_cl26,plain,
    strictly_less_than @ sk__4 @ ( findmin_cpq_res @ ( triple @ sk__1 @ sk__2 @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl105,plain,
    ( ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
    | ( sk__2 = create_slb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl26]) ).

thf(zip_derived_cl25_001,plain,
    contains_slb @ sk__2 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l44_l45,axiom,
    ! [U: $i,V: $i,W: $i] :
      ( ( ( contains_slb @ U @ V )
        & ( strictly_less_than @ V @ W ) )
     => ( ( pair_in_list @ ( update_slb @ U @ W ) @ V @ W )
        | ? [X: $i] :
            ( ( less_than @ W @ X )
            & ( pair_in_list @ ( update_slb @ U @ W ) @ V @ X ) ) ) ) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_slb @ X0 @ X1 )
      | ~ ( strictly_less_than @ X1 @ X2 )
      | ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ X2 )
      | ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ ( sk_ @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[l44_l45]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ( pair_in_list @ ( update_slb @ sk__2 @ X0 ) @ sk__4 @ ( sk_ @ X0 @ sk__4 @ sk__2 ) )
      | ( pair_in_list @ ( update_slb @ sk__2 @ X0 ) @ sk__4 @ X0 )
      | ~ ( strictly_less_than @ sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl24]) ).

thf(zip_derived_cl341,plain,
    ( ( sk__2 = create_slb )
    | ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
    | ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ sk__4 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl329]) ).

thf(zip_derived_cl27,plain,
    ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl343,plain,
    ( ( sk__2 = create_slb )
    | ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ sk__4 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl341,zip_derived_cl27]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( less_than @ ( findmin_pqp_res @ sk__1 ) @ X0 )
      | ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl347,plain,
    ( ( sk__2 = create_slb )
    | ~ ( less_than @ ( findmin_pqp_res @ sk__1 ) @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ sk__4 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl28]) ).

thf(zip_derived_cl105_002,plain,
    ( ( strictly_less_than @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
    | ( sk__2 = create_slb ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22,zip_derived_cl26]) ).

thf(zip_derived_cl25_003,plain,
    contains_slb @ sk__2 @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( contains_slb @ X0 @ X1 )
      | ~ ( strictly_less_than @ X1 @ X2 )
      | ( pair_in_list @ ( update_slb @ X0 @ X2 ) @ X1 @ X2 )
      | ( less_than @ X2 @ ( sk_ @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[l44_l45]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i] :
      ( ( less_than @ X0 @ ( sk_ @ X0 @ sk__4 @ sk__2 ) )
      | ( pair_in_list @ ( update_slb @ sk__2 @ X0 ) @ sk__4 @ X0 )
      | ~ ( strictly_less_than @ sk__4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl23]) ).

thf(zip_derived_cl197,plain,
    ( ( sk__2 = create_slb )
    | ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) )
    | ( less_than @ ( findmin_pqp_res @ sk__1 ) @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ sk__4 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl105,zip_derived_cl103]) ).

thf(zip_derived_cl27_004,plain,
    ~ ( pair_in_list @ ( update_slb @ sk__2 @ ( findmin_pqp_res @ sk__1 ) ) @ sk__4 @ ( findmin_pqp_res @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl214,plain,
    ( ( less_than @ ( findmin_pqp_res @ sk__1 ) @ ( sk_ @ ( findmin_pqp_res @ sk__1 ) @ sk__4 @ sk__2 ) )
    | ( sk__2 = create_slb ) ),
    inference(clc,[status(thm)],[zip_derived_cl197,zip_derived_cl27]) ).

thf(zip_derived_cl348,plain,
    sk__2 = create_slb,
    inference(clc,[status(thm)],[zip_derived_cl347,zip_derived_cl214]) ).

thf(zip_derived_cl349,plain,
    ! [X0: $i] :
      ~ ( contains_slb @ sk__2 @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl348]) ).

thf(zip_derived_cl388,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl349]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV408+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.IAuxdc1lAC true
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 12:33:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /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
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.87  % Solved by fo/fo4.sh.
% 0.58/0.87  % done 150 iterations in 0.078s
% 0.58/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.87  % SZS output start Refutation
% See solution above
% 0.58/0.87  
% 0.58/0.87  
% 0.58/0.87  % Terminating...
% 0.63/0.95  % Runner terminated.
% 0.63/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------