TSTP Solution File: SWV099+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OKvAhpIfc0 true

% Computer : n011.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 : Fri Sep  1 00:07:42 EDT 2023

% Result   : Theorem 6.05s 1.48s
% Output   : Refutation 6.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  210 ( 167 unt;  23 typ;   0 def)
%            Number of atoms       :  634 ( 548 equ;   0 cnn)
%            Maximal formula atoms :   70 (   3 avg)
%            Number of connectives : 1872 ( 318   ~; 309   |; 132   &;1107   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  19 con; 0-3 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

thf(minus_type,type,
    minus: $i > $i > $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(sk__17_type,type,
    sk__17: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

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(xinit_defuse_type,type,
    xinit_defuse: $i ).

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

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

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

thf(quaternion_ds1_inuse_0011,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 @ ( minus @ pv5 @ n1 ) ) )
         => ( ( ( a_select3 @ u_defuse @ A @ B )
              = use )
            & ( ( a_select3 @ z_defuse @ A @ B )
              = 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 )
      & ( leq @ n0 @ pv5 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ! [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 ) ) ) ) ) ).

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 @ ( minus @ pv5 @ n1 ) ) )
           => ( ( ( a_select3 @ u_defuse @ A @ B )
                = use )
              & ( ( a_select3 @ z_defuse @ A @ B )
                = 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 )
        & ( leq @ n0 @ pv5 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ! [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 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0011]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ ( minus @ pv5 @ n1 ) )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl5441,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ ( pred @ pv5 ) )
      | ( ( a_select3 @ u_defuse @ X0 @ X1 )
        = use ) ),
    inference(demod,[status(thm)],[zip_derived_cl146,zip_derived_cl57]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ ( minus @ pv5 @ n1 ) )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_001,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl5413,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( leq @ X0 @ n2 )
      | ~ ( leq @ n0 @ X0 )
      | ~ ( leq @ n0 @ X1 )
      | ~ ( leq @ X1 @ ( pred @ pv5 ) )
      | ( ( a_select3 @ z_defuse @ X0 @ X1 )
        = use ) ),
    inference(demod,[status(thm)],[zip_derived_cl145,zip_derived_cl57]) ).

thf(zip_derived_cl151,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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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

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

thf(zip_derived_cl122,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_002,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl144,plain,
    leq @ pv5 @ ( minus @ n999 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_003,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl782,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl57]) ).

thf(zip_derived_cl6030,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__17 @ sk__18 )
     != use )
    | ( ( a_select3 @ z_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl151,zip_derived_cl116,zip_derived_cl117,zip_derived_cl118,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_cl57,zip_derived_cl782]) ).

thf(zip_derived_cl6031,plain,
    ( ( ( a_select3 @ z_defuse @ sk__17 @ sk__18 )
     != use )
    | ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6030]) ).

thf(zip_derived_cl6032,plain,
    ( ( use != use )
    | ~ ( leq @ sk__18 @ ( pred @ pv5 ) )
    | ~ ( leq @ n0 @ sk__18 )
    | ~ ( leq @ n0 @ sk__17 )
    | ~ ( leq @ sk__17 @ n2 )
    | ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5413,zip_derived_cl6031]) ).

thf(zip_derived_cl150,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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__18 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_004,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117_005,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_006,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_007,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_008,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_009,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_010,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_011,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_012,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_013,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_014,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_015,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_016,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_017,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_018,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_019,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_020,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_021,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_022,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_023,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_024,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_025,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_026,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_027,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_028,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_029,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_030,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_031,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_032,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl782_033,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl57]) ).

thf(zip_derived_cl57_034,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl5958,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__18 @ ( pred @ pv5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl150,zip_derived_cl116,zip_derived_cl117,zip_derived_cl118,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_cl57,zip_derived_cl782,zip_derived_cl57]) ).

thf(zip_derived_cl5959,plain,
    leq @ sk__18 @ ( pred @ pv5 ),
    inference(simplify,[status(thm)],[zip_derived_cl5958]) ).

thf(zip_derived_cl149,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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_035,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117_036,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_037,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_038,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_039,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_040,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_041,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_042,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_043,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_044,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_045,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_046,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_047,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_048,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_049,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_050,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_051,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_052,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_053,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_054,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_055,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_056,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_057,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_058,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_059,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_060,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_061,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_062,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_063,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl782_064,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl57]) ).

thf(zip_derived_cl5792,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__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl149,zip_derived_cl116,zip_derived_cl117,zip_derived_cl118,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_cl57,zip_derived_cl782]) ).

thf(zip_derived_cl5793,plain,
    leq @ n0 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl5792]) ).

thf(zip_derived_cl148,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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ n0 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_065,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117_066,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_067,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_068,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_069,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_070,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_071,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_072,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_073,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_074,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_075,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_076,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_077,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_078,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_079,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_080,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_081,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_082,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_083,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_084,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_085,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_086,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_087,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_088,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_089,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_090,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_091,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_092,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_093,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl782_094,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl57]) ).

thf(zip_derived_cl5579,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__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl148,zip_derived_cl116,zip_derived_cl117,zip_derived_cl118,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_cl57,zip_derived_cl782]) ).

thf(zip_derived_cl5580,plain,
    leq @ n0 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl5579]) ).

thf(zip_derived_cl147,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 @ pv5 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ( leq @ sk__17 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116_095,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl117_096,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl118_097,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl119_098,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl120_099,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl121_100,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl122_101,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl123_102,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl124_103,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl125_104,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_105,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_106,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_107,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_108,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_109,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_110,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_111,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_112,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_113,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_114,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_115,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_116,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_117,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_118,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_119,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_120,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_121,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_122,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_123,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl782_124,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl144,zip_derived_cl57]) ).

thf(zip_derived_cl5469,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__17 @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl147,zip_derived_cl116,zip_derived_cl117,zip_derived_cl118,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_cl57,zip_derived_cl782]) ).

thf(zip_derived_cl5470,plain,
    leq @ sk__17 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl5469]) ).

thf(zip_derived_cl6033,plain,
    ( ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl6032,zip_derived_cl5959,zip_derived_cl5793,zip_derived_cl5580,zip_derived_cl5470]) ).

thf(zip_derived_cl6034,plain,
    ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
   != use ),
    inference(simplify,[status(thm)],[zip_derived_cl6033]) ).

thf(zip_derived_cl6035,plain,
    ( ( use != use )
    | ~ ( leq @ sk__18 @ ( pred @ pv5 ) )
    | ~ ( leq @ n0 @ sk__18 )
    | ~ ( leq @ n0 @ sk__17 )
    | ~ ( leq @ sk__17 @ n2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5441,zip_derived_cl6034]) ).

thf(zip_derived_cl5959_125,plain,
    leq @ sk__18 @ ( pred @ pv5 ),
    inference(simplify,[status(thm)],[zip_derived_cl5958]) ).

thf(zip_derived_cl5793_126,plain,
    leq @ n0 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl5792]) ).

thf(zip_derived_cl5580_127,plain,
    leq @ n0 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl5579]) ).

thf(zip_derived_cl5470_128,plain,
    leq @ sk__17 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl5469]) ).

thf(zip_derived_cl6036,plain,
    use != use,
    inference(demod,[status(thm)],[zip_derived_cl6035,zip_derived_cl5959,zip_derived_cl5793,zip_derived_cl5580,zip_derived_cl5470]) ).

thf(zip_derived_cl6037,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl6036]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV099+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OKvAhpIfc0 true
% 0.14/0.34  % Computer : n011.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 29 10:10:56 EDT 2023
% 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
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71  % /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
% 0.56/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 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/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.05/1.48  % Solved by fo/fo3_bce.sh.
% 6.05/1.48  % BCE start: 152
% 6.05/1.48  % BCE eliminated: 0
% 6.05/1.48  % PE start: 152
% 6.05/1.48  logic: eq
% 6.05/1.48  % PE eliminated: 3
% 6.05/1.48  % done 711 iterations in 0.724s
% 6.05/1.48  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.05/1.48  % SZS output start Refutation
% See solution above
% 6.05/1.48  
% 6.05/1.48  
% 6.05/1.48  % Terminating...
% 6.53/1.57  % Runner terminated.
% 6.53/1.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------