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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV189+1 : TPTP v9.2.0. Bugfixed 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.2xkb3xpcoy 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 05:00:22 PM UTC 2025

% Result   : Theorem 0.47s 0.74s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (  10 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  148 (  12   ~;   9   |;   8   &; 107   @)
%                                         (   1 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

% Comments : 
%------------------------------------------------------------------------------
thf(center_init_type,type,
    center_init: $i ).

thf(tptp_minus_1_type,type,
    tptp_minus_1: $i ).

thf(a_select3_type,type,
    a_select3: $i > $i > $i > $i ).

thf(leq_type,type,
    leq: $i > $i > $o ).

thf(gt_type,type,
    gt: $i > $i > $o ).

thf(init_type,type,
    init: $i ).

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

thf(q_init_type,type,
    q_init: $i ).

thf(succ_type,type,
    succ: $i > $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(n4_type,type,
    n4: $i ).

thf(cl5_nebula_init_0121,conjecture,
    ( ! [A: $i] :
        ( ( ( leq @ n0 @ A )
          & ( leq @ A @ n4 ) )
       => ( ( a_select3 @ center_init @ A @ n0 )
          = init ) )
   => ! [B: $i] :
        ( ( ( leq @ n0 @ B )
          & ( leq @ B @ tptp_minus_1 ) )
       => ! [C: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ C @ n4 ) )
           => ( ( a_select3 @ q_init @ B @ C )
              = init ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ n4 ) )
         => ( ( a_select3 @ center_init @ A @ n0 )
            = init ) )
     => ! [B: $i] :
          ( ( ( leq @ n0 @ B )
            & ( leq @ B @ tptp_minus_1 ) )
         => ! [C: $i] :
              ( ( ( leq @ n0 @ C )
                & ( leq @ C @ n4 ) )
             => ( ( a_select3 @ q_init @ B @ C )
                = init ) ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_init_0121]) ).

thf(zip_derived_cl101,plain,
    leq @ sk__16 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(leq_succ_gt_equiv,axiom,
    ! [X: $i,Y: $i] :
      ( ( leq @ X @ Y )
    <=> ( gt @ ( succ @ Y ) @ X ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( leq @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_succ_gt_equiv]) ).

thf(zip_derived_cl166,plain,
    gt @ ( succ @ tptp_minus_1 ) @ sk__16,
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl9]) ).

thf(succ_tptp_minus_1,axiom,
    ( ( succ @ tptp_minus_1 )
    = n0 ) ).

thf(zip_derived_cl44,plain,
    ( ( succ @ tptp_minus_1 )
    = n0 ),
    inference(cnf,[status(esa)],[succ_tptp_minus_1]) ).

thf(zip_derived_cl168,plain,
    gt @ n0 @ sk__16,
    inference(demod,[status(thm)],[zip_derived_cl166,zip_derived_cl44]) ).

thf(gt_0_tptp_minus_1,axiom,
    gt @ n0 @ tptp_minus_1 ).

thf(zip_derived_cl68,plain,
    gt @ n0 @ tptp_minus_1,
    inference(cnf,[status(esa)],[gt_0_tptp_minus_1]) ).

thf(leq_gt1,axiom,
    ! [X: $i,Y: $i] :
      ( ( gt @ Y @ X )
     => ( leq @ X @ Y ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( leq @ X0 @ X1 )
      | ~ ( gt @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[leq_gt1]) ).

thf(zip_derived_cl101_001,plain,
    leq @ sk__16 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(transitivity_leq,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( leq @ X @ Y )
        & ( leq @ Y @ Z ) )
     => ( leq @ X @ Z ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( leq @ X0 @ X1 )
      | ~ ( leq @ X1 @ X2 )
      | ( leq @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_leq]) ).

thf(zip_derived_cl158,plain,
    ! [X0: $i] :
      ( ( leq @ sk__16 @ X0 )
      | ~ ( leq @ tptp_minus_1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl4]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i] :
      ( ~ ( gt @ X0 @ tptp_minus_1 )
      | ( leq @ sk__16 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl158]) ).

thf(zip_derived_cl204,plain,
    leq @ sk__16 @ n0,
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl197]) ).

thf(finite_domain_0,axiom,
    ! [X: $i] :
      ( ( ( leq @ n0 @ X )
        & ( leq @ X @ n0 ) )
     => ( X = n0 ) ) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ( X0 = n0 )
      | ~ ( leq @ X0 @ n0 )
      | ~ ( leq @ n0 @ X0 ) ),
    inference(cnf,[status(esa)],[finite_domain_0]) ).

thf(zip_derived_cl221,plain,
    ( ~ ( leq @ n0 @ sk__16 )
    | ( sk__16 = n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl204,zip_derived_cl88]) ).

thf(zip_derived_cl102,plain,
    leq @ n0 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl223,plain,
    sk__16 = n0,
    inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl102]) ).

thf(irreflexivity_gt,axiom,
    ! [X: $i] :
      ~ ( gt @ X @ X ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl244,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl168,zip_derived_cl223,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : SWV189+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.05/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.2xkb3xpcoy true
% 0.09/0.31  % Computer : n009.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Wed Oct  1 12:37:53 EDT 2025
% 0.09/0.31  % CPUTime  : 
% 0.09/0.31  % Running portfolio for 300 s
% 0.09/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31  % Number of cores: 8
% 0.09/0.31  % Python version: Python 3.6.8
% 0.15/0.31  % Running in FO mode
% 0.44/0.55  % Total configuration time : 435
% 0.44/0.55  % Estimated wc time : 1092
% 0.44/0.55  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.74  % Solved by fo/fo7.sh.
% 0.47/0.74  % done 93 iterations in 0.059s
% 0.47/0.74  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.74  % SZS output start Refutation
% See solution above
% 0.47/0.74  
% 0.47/0.74  
% 0.47/0.74  % Terminating...
% 1.45/0.77  % Runner terminated.
% 1.45/0.79  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------