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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV188+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.JWKnBfC0Ql true

% Computer : n014.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 05:00:21 PM UTC 2025

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   73 (  16 equ;   0 cnn)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives :  213 (   7   ~;   4   |;  27   &; 149   @)
%                                         (   1 <=>;  25  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;  16 con; 0-3 aty)
%            Number of variables   :   29 (   0   ^;  29   !;   0   ?;  29   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n135299_type,type,
    n135299: $i ).

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

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

thf(rho_init_type,type,
    rho_init: $i ).

thf(center_init_type,type,
    center_init: $i ).

thf(sigmaold_init_type,type,
    sigmaold_init: $i ).

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

thf(n1_type,type,
    n1: $i ).

thf(rhoold_init_type,type,
    rhoold_init: $i ).

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

thf(mu_init_type,type,
    mu_init: $i ).

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

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

thf(a_select2_type,type,
    a_select2: $i > $i > $i ).

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

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

thf(muold_init_type,type,
    muold_init: $i ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(loopcounter_type,type,
    loopcounter: $i ).

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

thf(cl5_nebula_init_0116,conjecture,
    ( ( ! [A: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ A @ n135299 ) )
         => ! [B: $i] :
              ( ( ( leq @ n0 @ B )
                & ( leq @ B @ n4 ) )
             => ( ( a_select3 @ q_init @ A @ B )
                = init ) ) )
      & ! [C: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ C @ n4 ) )
         => ( ( a_select2 @ rho_init @ C )
            = init ) )
      & ! [D: $i] :
          ( ( ( leq @ n0 @ D )
            & ( leq @ D @ n4 ) )
         => ( ( a_select3 @ center_init @ D @ n0 )
            = init ) )
      & ( ( gt @ loopcounter @ n1 )
       => ! [E: $i] :
            ( ( ( leq @ n0 @ E )
              & ( leq @ E @ n4 ) )
           => ( ( a_select2 @ muold_init @ E )
              = init ) ) )
      & ( ( gt @ loopcounter @ n1 )
       => ! [F: $i] :
            ( ( ( leq @ n0 @ F )
              & ( leq @ F @ n4 ) )
           => ( ( a_select2 @ rhoold_init @ F )
              = init ) ) )
      & ( ( gt @ loopcounter @ n1 )
       => ! [G: $i] :
            ( ( ( leq @ n0 @ G )
              & ( leq @ G @ n4 ) )
           => ( ( a_select2 @ sigmaold_init @ G )
              = init ) ) ) )
   => ! [H: $i] :
        ( ( ( leq @ n0 @ H )
          & ( leq @ H @ tptp_minus_1 ) )
       => ( ( a_select2 @ mu_init @ H )
          = init ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [A: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ A @ n135299 ) )
           => ! [B: $i] :
                ( ( ( leq @ n0 @ B )
                  & ( leq @ B @ n4 ) )
               => ( ( a_select3 @ q_init @ A @ B )
                  = init ) ) )
        & ! [C: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ C @ n4 ) )
           => ( ( a_select2 @ rho_init @ C )
              = init ) )
        & ! [D: $i] :
            ( ( ( leq @ n0 @ D )
              & ( leq @ D @ n4 ) )
           => ( ( a_select3 @ center_init @ D @ n0 )
              = init ) )
        & ( ( gt @ loopcounter @ n1 )
         => ! [E: $i] :
              ( ( ( leq @ n0 @ E )
                & ( leq @ E @ n4 ) )
             => ( ( a_select2 @ muold_init @ E )
                = init ) ) )
        & ( ( gt @ loopcounter @ n1 )
         => ! [F: $i] :
              ( ( ( leq @ n0 @ F )
                & ( leq @ F @ n4 ) )
             => ( ( a_select2 @ rhoold_init @ F )
                = init ) ) )
        & ( ( gt @ loopcounter @ n1 )
         => ! [G: $i] :
              ( ( ( leq @ n0 @ G )
                & ( leq @ G @ n4 ) )
             => ( ( a_select2 @ sigmaold_init @ G )
                = init ) ) ) )
     => ! [H: $i] :
          ( ( ( leq @ n0 @ H )
            & ( leq @ H @ tptp_minus_1 ) )
         => ( ( a_select2 @ mu_init @ H )
            = init ) ) ),
    inference('cnf.neg',[status(esa)],[cl5_nebula_init_0116]) ).

thf(zip_derived_cl117,plain,
    leq @ n0 @ sk__17,
    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_cl703,plain,
    ! [X0: $i] :
      ( ( leq @ n0 @ X0 )
      | ~ ( leq @ sk__17 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl4]) ).

thf(zip_derived_cl116,plain,
    leq @ sk__17 @ tptp_minus_1,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl712,plain,
    leq @ n0 @ tptp_minus_1,
    inference('sup+',[status(thm)],[zip_derived_cl703,zip_derived_cl116]) ).

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_cl754,plain,
    gt @ ( succ @ tptp_minus_1 ) @ n0,
    inference('sup-',[status(thm)],[zip_derived_cl712,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(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_cl757,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl754,zip_derived_cl44,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV188+1 : TPTP v9.2.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JWKnBfC0Ql true
% 0.13/0.34  % Computer : n014.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 12:27:53 EDT 2025
% 0.13/0.34  % 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.55/0.63  % Total configuration time : 435
% 0.55/0.63  % Estimated wc time : 1092
% 0.55/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.81  % Solved by fo/fo3_bce.sh.
% 0.56/0.81  % BCE start: 118
% 0.56/0.81  % BCE eliminated: 0
% 0.56/0.81  % PE start: 118
% 0.56/0.81  logic: eq
% 0.56/0.81  % PE eliminated: 3
% 0.56/0.81  % done 53 iterations in 0.055s
% 0.56/0.81  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.81  % SZS output start Refutation
% See solution above
% 0.56/0.81  
% 0.56/0.81  
% 0.56/0.81  % Terminating...
% 1.82/0.85  % Runner terminated.
% 1.82/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------