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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV098+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.5ykdN2TLJN 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 05:00:06 PM UTC 2025

% Result   : Theorem 5.69s 1.44s
% Output   : Refutation 5.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :  170 ( 152 unt;   0 typ;   0 def)
%            Number of atoms       :  607 ( 546 equ;   0 cnn)
%            Maximal formula atoms :   74 (   3 avg)
%            Number of connectives : 1760 ( 300   ~; 291   |; 138   &;1023   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;  19 con; 0-3 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(z_defuse_type,type,
    z_defuse: $i ).

thf(n3_type,type,
    n3: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(sigma_defuse_type,type,
    sigma_defuse: $i ).

thf(plus_type,type,
    plus: $i > $i > $i ).

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

thf(minus_type,type,
    minus: $i > $i > $i ).

thf(sk__28_type,type,
    sk__28: $i ).

thf(pv5_type,type,
    pv5: $i ).

thf(n2_type,type,
    n2: $i ).

thf(xinit_mean_defuse_type,type,
    xinit_mean_defuse: $i ).

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

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

thf(u_defuse_type,type,
    u_defuse: $i ).

thf(n5_type,type,
    n5: $i ).

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

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

thf(rho_defuse_type,type,
    rho_defuse: $i ).

thf(xinit_noise_defuse_type,type,
    xinit_noise_defuse: $i ).

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

thf(xinit_defuse_type,type,
    xinit_defuse: $i ).

thf(use_type,type,
    use: $i ).

thf(sk__27_type,type,
    sk__27: $i ).

thf(n999_type,type,
    n999: $i ).

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

thf(quaternion_ds1_inuse_0010,conjecture,
    ( ( ( ( a_select2 @ rho_defuse @ n0 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n1 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n0 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n1 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n3 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n4 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n5 )
        = use )
      & ( ( a_select3 @ u_defuse @ n0 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n1 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n2 @ n0 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n5 )
        = use )
      & ( leq @ n0 @ pv5 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ! [A: $i,B: $i] :
          ( ( ( leq @ n0 @ A )
            & ( leq @ n0 @ B )
            & ( leq @ A @ n2 )
            & ( leq @ B @ pv5 ) )
         => ( ( ( a_select3 @ u_defuse @ A @ B )
              = use )
            & ( ( a_select3 @ z_defuse @ A @ B )
              = use ) ) )
      & ! [C: $i,D: $i] :
          ( ( ( leq @ n0 @ C )
            & ( leq @ n0 @ D )
            & ( leq @ C @ n2 )
            & ( leq @ D @ ( minus @ pv5 @ n1 ) ) )
         => ( ( ( a_select3 @ u_defuse @ C @ D )
              = use )
            & ( ( a_select3 @ z_defuse @ C @ D )
              = use ) ) ) )
   => ( ( ( a_select2 @ rho_defuse @ n0 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n1 )
        = use )
      & ( ( a_select2 @ rho_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n0 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n1 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n2 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n3 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n4 )
        = use )
      & ( ( a_select2 @ sigma_defuse @ n5 )
        = use )
      & ( ( a_select3 @ u_defuse @ n0 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n1 @ n0 )
        = use )
      & ( ( a_select3 @ u_defuse @ n2 @ n0 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_mean_defuse @ n5 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n0 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n1 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n2 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n3 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n4 )
        = use )
      & ( ( a_select2 @ xinit_noise_defuse @ n5 )
        = use )
      & ! [E: $i,F: $i] :
          ( ( ( leq @ n0 @ E )
            & ( leq @ n0 @ F )
            & ( leq @ E @ n2 )
            & ( leq @ F @ ( minus @ ( plus @ n1 @ pv5 ) @ n1 ) ) )
         => ( ( ( a_select3 @ u_defuse @ E @ F )
              = use )
            & ( ( a_select3 @ z_defuse @ E @ F )
              = use ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( a_select2 @ rho_defuse @ n0 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n1 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n0 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n1 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n3 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n4 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n5 )
          = use )
        & ( ( a_select3 @ u_defuse @ n0 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n1 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n2 @ n0 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n5 )
          = use )
        & ( leq @ n0 @ pv5 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ! [A: $i,B: $i] :
            ( ( ( leq @ n0 @ A )
              & ( leq @ n0 @ B )
              & ( leq @ A @ n2 )
              & ( leq @ B @ pv5 ) )
           => ( ( ( a_select3 @ u_defuse @ A @ B )
                = use )
              & ( ( a_select3 @ z_defuse @ A @ B )
                = use ) ) )
        & ! [C: $i,D: $i] :
            ( ( ( leq @ n0 @ C )
              & ( leq @ n0 @ D )
              & ( leq @ C @ n2 )
              & ( leq @ D @ ( minus @ pv5 @ n1 ) ) )
           => ( ( ( a_select3 @ u_defuse @ C @ D )
                = use )
              & ( ( a_select3 @ z_defuse @ C @ D )
                = use ) ) ) )
     => ( ( ( a_select2 @ rho_defuse @ n0 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n1 )
          = use )
        & ( ( a_select2 @ rho_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n0 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n1 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n2 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n3 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n4 )
          = use )
        & ( ( a_select2 @ sigma_defuse @ n5 )
          = use )
        & ( ( a_select3 @ u_defuse @ n0 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n1 @ n0 )
          = use )
        & ( ( a_select3 @ u_defuse @ n2 @ n0 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_mean_defuse @ n5 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n0 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n1 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n2 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n3 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n4 )
          = use )
        & ( ( a_select2 @ xinit_noise_defuse @ n5 )
          = use )
        & ! [E: $i,F: $i] :
            ( ( ( leq @ n0 @ E )
              & ( leq @ n0 @ F )
              & ( leq @ E @ n2 )
              & ( leq @ F @ ( minus @ ( plus @ n1 @ pv5 ) @ n1 ) ) )
           => ( ( ( a_select3 @ u_defuse @ E @ F )
                = use )
              & ( ( a_select3 @ z_defuse @ E @ F )
                = use ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0010]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ pv5 )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl156,plain,
    ( ( ( a_select2 @ rho_defuse @ n0 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n1 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n0 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n1 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n3 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n4 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ n0 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n1 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n2 @ n0 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2549,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145]) ).

thf(zip_derived_cl2550,plain,
    ( ( ( a_select3 @ z_defuse @ sk__27 @ sk__28 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2549]) ).

thf(zip_derived_cl2551,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl2550]) ).

thf(zip_derived_cl155,plain,
    ( ( ( a_select2 @ rho_defuse @ n0 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n1 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n0 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n1 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n3 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n4 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ n0 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n1 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n2 @ n0 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n5 )
     != use )
    | ( leq @ sk__28 @ ( minus @ ( plus @ n1 @ pv5 ) @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_001,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_002,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_003,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_004,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_005,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_006,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_007,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_008,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_009,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_010,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_011,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_012,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_013,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_014,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_015,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_016,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_017,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_018,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_019,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_020,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_021,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_022,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_023,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_024,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_025,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_026,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_027,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(succ_plus_1_l,axiom,
    ! [X: $i] :
      ( ( plus @ n1 @ X )
      = ( succ @ X ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( plus @ n1 @ X0 )
      = ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[succ_plus_1_l]) ).

thf(pred_minus_1,axiom,
    ! [X: $i] :
      ( ( minus @ X @ n1 )
      = ( pred @ X ) ) ).

thf(zip_derived_cl98,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(pred_succ,axiom,
    ! [X: $i] :
      ( ( pred @ ( succ @ X ) )
      = X ) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl2520,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__28 @ pv5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145,zip_derived_cl89,zip_derived_cl98,zip_derived_cl99]) ).

thf(zip_derived_cl2521,plain,
    leq @ sk__28 @ pv5,
    inference(simplify,[status(thm)],[zip_derived_cl2520]) ).

thf(zip_derived_cl154,plain,
    ( ( ( a_select2 @ rho_defuse @ n0 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n1 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n0 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n1 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n3 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n4 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ n0 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n1 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n2 @ n0 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n5 )
     != use )
    | ( leq @ n0 @ sk__28 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_028,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_029,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_030,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_031,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_032,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_033,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_034,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_035,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_036,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_037,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_038,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_039,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_040,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_041,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_042,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_043,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_044,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_045,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_046,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_047,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_048,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_049,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_050,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_051,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_052,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_053,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_054,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2484,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__28 ) ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145]) ).

thf(zip_derived_cl2485,plain,
    leq @ n0 @ sk__28,
    inference(simplify,[status(thm)],[zip_derived_cl2484]) ).

thf(zip_derived_cl153,plain,
    ( ( ( a_select2 @ rho_defuse @ n0 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n1 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n0 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n1 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n3 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n4 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ n0 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n1 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n2 @ n0 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n5 )
     != use )
    | ( leq @ n0 @ sk__27 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_055,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_056,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_057,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_058,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_059,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_060,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_061,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_062,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_063,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_064,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_065,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_066,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_067,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_068,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_069,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_070,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_071,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_072,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_073,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_074,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_075,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_076,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_077,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_078,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_079,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_080,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_081,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2424,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ n0 @ sk__27 ) ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145]) ).

thf(zip_derived_cl2425,plain,
    leq @ n0 @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl2424]) ).

thf(zip_derived_cl152,plain,
    ( ( ( a_select2 @ rho_defuse @ n0 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n1 )
     != use )
    | ( ( a_select2 @ rho_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n0 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n1 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n2 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n3 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n4 )
     != use )
    | ( ( a_select2 @ sigma_defuse @ n5 )
     != use )
    | ( ( a_select3 @ u_defuse @ n0 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n1 @ n0 )
     != use )
    | ( ( a_select3 @ u_defuse @ n2 @ n0 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_mean_defuse @ n5 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n0 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n1 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n2 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n3 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n4 )
     != use )
    | ( ( a_select2 @ xinit_noise_defuse @ n5 )
     != use )
    | ( leq @ sk__27 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_082,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_083,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_084,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_085,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_086,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_087,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_088,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_089,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_090,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_091,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_092,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_093,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_094,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_095,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_096,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_097,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_098,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_099,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_100,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_101,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_102,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_103,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_104,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_105,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_106,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_107,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_108,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2413,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( leq @ sk__27 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl152,zip_derived_cl119,zip_derived_cl120,zip_derived_cl121,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl125,zip_derived_cl126,zip_derived_cl127,zip_derived_cl128,zip_derived_cl129,zip_derived_cl130,zip_derived_cl131,zip_derived_cl132,zip_derived_cl133,zip_derived_cl134,zip_derived_cl135,zip_derived_cl136,zip_derived_cl137,zip_derived_cl138,zip_derived_cl139,zip_derived_cl140,zip_derived_cl141,zip_derived_cl142,zip_derived_cl143,zip_derived_cl144,zip_derived_cl145]) ).

thf(zip_derived_cl2414,plain,
    leq @ sk__27 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl2413]) ).

thf(zip_derived_cl2552,plain,
    ( ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl2551,zip_derived_cl2521,zip_derived_cl2485,zip_derived_cl2425,zip_derived_cl2414]) ).

thf(zip_derived_cl2553,plain,
    ( ( a_select3 @ u_defuse @ sk__27 @ sk__28 )
   != use ),
    inference(simplify,[status(thm)],[zip_derived_cl2552]) ).

thf(zip_derived_cl2802,plain,
    ( ~ ( leq @ sk__28 @ pv5 )
    | ~ ( leq @ n0 @ sk__28 )
    | ~ ( leq @ n0 @ sk__27 )
    | ~ ( leq @ sk__27 @ n2 )
    | ( use != use ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl149,zip_derived_cl2553]) ).

thf(zip_derived_cl2521_109,plain,
    leq @ sk__28 @ pv5,
    inference(simplify,[status(thm)],[zip_derived_cl2520]) ).

thf(zip_derived_cl2485_110,plain,
    leq @ n0 @ sk__28,
    inference(simplify,[status(thm)],[zip_derived_cl2484]) ).

thf(zip_derived_cl2425_111,plain,
    leq @ n0 @ sk__27,
    inference(simplify,[status(thm)],[zip_derived_cl2424]) ).

thf(zip_derived_cl2414_112,plain,
    leq @ sk__27 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl2413]) ).

thf(zip_derived_cl2804,plain,
    use != use,
    inference(demod,[status(thm)],[zip_derived_cl2802,zip_derived_cl2521,zip_derived_cl2485,zip_derived_cl2425,zip_derived_cl2414]) ).

thf(zip_derived_cl2805,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2804]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV098+1 : TPTP v9.2.0. Bugfixed 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.5ykdN2TLJN 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 12:28:23 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /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
% 5.69/1.44  % Solved by fo/fo6_bce.sh.
% 5.69/1.44  % BCE start: 196
% 5.69/1.44  % BCE eliminated: 1
% 5.69/1.44  % PE start: 195
% 5.69/1.44  logic: eq
% 5.69/1.44  % PE eliminated: 13
% 5.69/1.44  % done 396 iterations in 0.709s
% 5.69/1.44  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.69/1.44  % SZS output start Refutation
% See solution above
% 5.69/1.44  
% 5.69/1.44  
% 5.69/1.44  % Terminating...
% 5.69/1.46  % Runner terminated.
% 5.73/1.48  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------