TSTP Solution File: SWV095+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV095+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.Jgkpf76VEC true

% Computer : n016.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 00:07:38 EDT 2023

% Result   : Theorem 15.38s 2.72s
% Output   : Refutation 15.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  283 ( 236 unt;  27 typ;   0 def)
%            Number of atoms       :  721 ( 605 equ;   0 cnn)
%            Maximal formula atoms :   74 (   2 avg)
%            Number of connectives : 2132 ( 328   ~; 319   |; 140   &;1339   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   43 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  27 usr;  21 con; 0-3 aty)
%            Number of variables   :   50 (   0   ^;  50   !;   0   ?;  50   :)

% Comments : 
%------------------------------------------------------------------------------
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(z_defuse_type,type,
    z_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(n999_type,type,
    n999: $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__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(sk__17_type,type,
    sk__17: $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(pv51_type,type,
    pv51: $i ).

thf(n6_type,type,
    n6: $i ).

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

thf(quaternion_ds1_inuse_0007,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 @ n0 @ pv51 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ( leq @ pv51 @ ( minus @ n6 @ 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 @ n0 @ pv51 )
      & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
      & ( leq @ pv51 @ ( minus @ n6 @ 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 @ n0 @ pv51 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ( leq @ pv51 @ ( minus @ n6 @ 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 @ n0 @ pv51 )
        & ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
        & ( leq @ pv51 @ ( minus @ n6 @ 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_0007]) ).

thf(zip_derived_cl158,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_cl8841,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_cl158,zip_derived_cl57]) ).

thf(zip_derived_cl157,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_cl8661,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_cl157,zip_derived_cl57]) ).

thf(zip_derived_cl163,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 @ n0 @ pv51 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ~ ( leq @ pv51 @ ( minus @ n6 @ 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_cl126,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154,plain,
    leq @ n0 @ pv51,
    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_cl155,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_cl1017,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl57]) ).

thf(zip_derived_cl57_004,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(successor_6,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) ) )
    = n6 ) ).

thf(zip_derived_cl122,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) ) )
    = n6 ),
    inference(cnf,[status(esa)],[successor_6]) ).

thf(successor_1,axiom,
    ( ( succ @ n0 )
    = n1 ) ).

thf(zip_derived_cl123,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(successor_2,axiom,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ) ).

thf(zip_derived_cl124,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

thf(zip_derived_cl123_005,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl890,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl123]) ).

thf(succ_plus_3_r,axiom,
    ! [X: $i] :
      ( ( plus @ X @ n3 )
      = ( succ @ ( succ @ ( succ @ X ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( ( plus @ X0 @ n3 )
      = ( succ @ ( succ @ ( succ @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[succ_plus_3_r]) ).

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

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( plus @ n1 @ X0 )
      = ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[succ_plus_1_l]) ).

thf(zip_derived_cl3409,plain,
    ( ( succ @ ( succ @ ( succ @ n1 ) ) )
    = ( succ @ n3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl48]) ).

thf(zip_derived_cl890_006,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl123]) ).

thf(zip_derived_cl3411,plain,
    ( ( succ @ ( succ @ n2 ) )
    = ( succ @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3409,zip_derived_cl890]) ).

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

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl3413,plain,
    ( ( pred @ ( succ @ n3 ) )
    = ( succ @ n2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3411,zip_derived_cl58]) ).

thf(zip_derived_cl58_007,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl3418,plain,
    ( n3
    = ( succ @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3413,zip_derived_cl58]) ).

thf(succ_plus_4_r,axiom,
    ! [X: $i] :
      ( ( plus @ X @ n4 )
      = ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ( plus @ X0 @ n4 )
      = ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ),
    inference(cnf,[status(esa)],[succ_plus_4_r]) ).

thf(zip_derived_cl48_008,plain,
    ! [X0: $i] :
      ( ( plus @ n1 @ X0 )
      = ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[succ_plus_1_l]) ).

thf(zip_derived_cl3657,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ n1 ) ) ) )
    = ( succ @ n4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl53,zip_derived_cl48]) ).

thf(zip_derived_cl890_009,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl123]) ).

thf(zip_derived_cl3418_010,plain,
    ( n3
    = ( succ @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3413,zip_derived_cl58]) ).

thf(zip_derived_cl3660,plain,
    ( ( succ @ ( succ @ n3 ) )
    = ( succ @ n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3657,zip_derived_cl890,zip_derived_cl3418]) ).

thf(zip_derived_cl58_011,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl3663,plain,
    ( ( pred @ ( succ @ n4 ) )
    = ( succ @ n3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl3660,zip_derived_cl58]) ).

thf(zip_derived_cl58_012,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl3668,plain,
    ( n4
    = ( succ @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3663,zip_derived_cl58]) ).

thf(succ_plus_5_r,axiom,
    ! [X: $i] :
      ( ( plus @ X @ n5 )
      = ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X ) ) ) ) ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( plus @ X0 @ n5 )
      = ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ X0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[succ_plus_5_r]) ).

thf(zip_derived_cl48_013,plain,
    ! [X0: $i] :
      ( ( plus @ n1 @ X0 )
      = ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[succ_plus_1_l]) ).

thf(zip_derived_cl4110,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n1 ) ) ) ) )
    = ( succ @ n5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl55,zip_derived_cl48]) ).

thf(zip_derived_cl890_014,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl124,zip_derived_cl123]) ).

thf(zip_derived_cl3418_015,plain,
    ( n3
    = ( succ @ n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3413,zip_derived_cl58]) ).

thf(zip_derived_cl3668_016,plain,
    ( n4
    = ( succ @ n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl3663,zip_derived_cl58]) ).

thf(zip_derived_cl4114,plain,
    ( ( succ @ ( succ @ n4 ) )
    = ( succ @ n5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4110,zip_derived_cl890,zip_derived_cl3418,zip_derived_cl3668]) ).

thf(zip_derived_cl58_017,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl4118,plain,
    ( ( pred @ ( succ @ n5 ) )
    = ( succ @ n4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4114,zip_derived_cl58]) ).

thf(zip_derived_cl58_018,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl4123,plain,
    ( n5
    = ( succ @ n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl4118,zip_derived_cl58]) ).

thf(zip_derived_cl8352,plain,
    ( ( succ @ n5 )
    = n6 ),
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl123,zip_derived_cl890,zip_derived_cl3418,zip_derived_cl3668,zip_derived_cl4123]) ).

thf(zip_derived_cl58_019,plain,
    ! [X0: $i] :
      ( ( pred @ ( succ @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[pred_succ]) ).

thf(zip_derived_cl8354,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl156,plain,
    leq @ pv51 @ ( minus @ n6 @ n1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_020,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl1018,plain,
    leq @ pv51 @ ( pred @ n6 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl57]) ).

thf(zip_derived_cl8354_021,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl8361,plain,
    leq @ pv51 @ n5,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl8354]) ).

thf(zip_derived_cl10017,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_cl163,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_cl146,zip_derived_cl147,zip_derived_cl148,zip_derived_cl149,zip_derived_cl150,zip_derived_cl151,zip_derived_cl152,zip_derived_cl153,zip_derived_cl154,zip_derived_cl57,zip_derived_cl1017,zip_derived_cl57,zip_derived_cl8354,zip_derived_cl8361]) ).

thf(zip_derived_cl10018,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_cl10017]) ).

thf(zip_derived_cl10019,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_cl8661,zip_derived_cl10018]) ).

thf(zip_derived_cl162,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 @ n0 @ pv51 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ~ ( leq @ pv51 @ ( minus @ n6 @ n1 ) )
    | ( leq @ sk__18 @ ( minus @ pv5 @ n1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_022,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_023,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_024,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_025,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_026,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_027,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_028,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_029,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_030,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_031,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_032,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_033,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_034,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_035,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_036,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_037,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_038,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_039,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_040,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_041,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_042,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147_043,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_044,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149_045,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150_046,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151_047,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152_048,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153_049,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_050,plain,
    leq @ n0 @ pv51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_051,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl1017_052,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl57]) ).

thf(zip_derived_cl57_053,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl8354_054,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl8361_055,plain,
    leq @ pv51 @ n5,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl8354]) ).

thf(zip_derived_cl57_056,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl9790,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_cl162,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_cl146,zip_derived_cl147,zip_derived_cl148,zip_derived_cl149,zip_derived_cl150,zip_derived_cl151,zip_derived_cl152,zip_derived_cl153,zip_derived_cl154,zip_derived_cl57,zip_derived_cl1017,zip_derived_cl57,zip_derived_cl8354,zip_derived_cl8361,zip_derived_cl57]) ).

thf(zip_derived_cl9791,plain,
    leq @ sk__18 @ ( pred @ pv5 ),
    inference(simplify,[status(thm)],[zip_derived_cl9790]) ).

thf(zip_derived_cl161,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 @ n0 @ pv51 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ~ ( leq @ pv51 @ ( minus @ n6 @ n1 ) )
    | ( leq @ n0 @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_057,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_058,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_059,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_060,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_061,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_062,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_063,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_064,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_065,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_066,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_067,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_068,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_069,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_070,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_071,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_072,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_073,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_074,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_075,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_076,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_077,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147_078,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_079,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149_080,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150_081,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151_082,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152_083,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153_084,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_085,plain,
    leq @ n0 @ pv51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_086,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl1017_087,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl57]) ).

thf(zip_derived_cl57_088,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl8354_089,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl8361_090,plain,
    leq @ pv51 @ n5,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl8354]) ).

thf(zip_derived_cl9508,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_cl161,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_cl146,zip_derived_cl147,zip_derived_cl148,zip_derived_cl149,zip_derived_cl150,zip_derived_cl151,zip_derived_cl152,zip_derived_cl153,zip_derived_cl154,zip_derived_cl57,zip_derived_cl1017,zip_derived_cl57,zip_derived_cl8354,zip_derived_cl8361]) ).

thf(zip_derived_cl9509,plain,
    leq @ n0 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl9508]) ).

thf(zip_derived_cl160,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 @ n0 @ pv51 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ~ ( leq @ pv51 @ ( minus @ n6 @ n1 ) )
    | ( leq @ n0 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_091,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_092,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_093,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_094,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_095,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_096,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_097,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_098,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_099,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_100,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_101,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_102,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_103,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_104,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_105,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_106,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_107,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_108,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_109,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_110,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_111,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147_112,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_113,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149_114,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150_115,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151_116,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152_117,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153_118,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_119,plain,
    leq @ n0 @ pv51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_120,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl1017_121,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl57]) ).

thf(zip_derived_cl57_122,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl8354_123,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl8361_124,plain,
    leq @ pv51 @ n5,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl8354]) ).

thf(zip_derived_cl9238,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_cl160,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_cl146,zip_derived_cl147,zip_derived_cl148,zip_derived_cl149,zip_derived_cl150,zip_derived_cl151,zip_derived_cl152,zip_derived_cl153,zip_derived_cl154,zip_derived_cl57,zip_derived_cl1017,zip_derived_cl57,zip_derived_cl8354,zip_derived_cl8361]) ).

thf(zip_derived_cl9239,plain,
    leq @ n0 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl9238]) ).

thf(zip_derived_cl159,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 @ n0 @ pv51 )
    | ~ ( leq @ pv5 @ ( minus @ n999 @ n1 ) )
    | ~ ( leq @ pv51 @ ( minus @ n6 @ n1 ) )
    | ( leq @ sk__17 @ n2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl126_125,plain,
    ( ( a_select2 @ rho_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127_126,plain,
    ( ( a_select2 @ rho_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl128_127,plain,
    ( ( a_select2 @ rho_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl129_128,plain,
    ( ( a_select2 @ sigma_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl130_129,plain,
    ( ( a_select2 @ sigma_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131_130,plain,
    ( ( a_select2 @ sigma_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl132_131,plain,
    ( ( a_select2 @ sigma_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl133_132,plain,
    ( ( a_select2 @ sigma_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl134_133,plain,
    ( ( a_select2 @ sigma_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl135_134,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136_135,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl137_136,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl138_137,plain,
    ( ( a_select2 @ xinit_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl139_138,plain,
    ( ( a_select2 @ xinit_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl140_139,plain,
    ( ( a_select2 @ xinit_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl141_140,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl142_141,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_142,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl144_143,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145_144,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl146_145,plain,
    ( ( a_select2 @ xinit_mean_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147_146,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148_147,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n1 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149_148,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n2 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150_149,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n3 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151_150,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n4 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl152_151,plain,
    ( ( a_select2 @ xinit_noise_defuse @ n5 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153_152,plain,
    leq @ n0 @ pv5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl154_153,plain,
    leq @ n0 @ pv51,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl57_154,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl1017_155,plain,
    leq @ pv5 @ ( pred @ n999 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl57]) ).

thf(zip_derived_cl57_156,plain,
    ! [X0: $i] :
      ( ( minus @ X0 @ n1 )
      = ( pred @ X0 ) ),
    inference(cnf,[status(esa)],[pred_minus_1]) ).

thf(zip_derived_cl8354_157,plain,
    ( ( pred @ n6 )
    = n5 ),
    inference('sup+',[status(thm)],[zip_derived_cl8352,zip_derived_cl58]) ).

thf(zip_derived_cl8361_158,plain,
    leq @ pv51 @ n5,
    inference(demod,[status(thm)],[zip_derived_cl1018,zip_derived_cl8354]) ).

thf(zip_derived_cl9012,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_cl159,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_cl146,zip_derived_cl147,zip_derived_cl148,zip_derived_cl149,zip_derived_cl150,zip_derived_cl151,zip_derived_cl152,zip_derived_cl153,zip_derived_cl154,zip_derived_cl57,zip_derived_cl1017,zip_derived_cl57,zip_derived_cl8354,zip_derived_cl8361]) ).

thf(zip_derived_cl9013,plain,
    leq @ sk__17 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl9012]) ).

thf(zip_derived_cl10020,plain,
    ( ( use != use )
    | ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl10019,zip_derived_cl9791,zip_derived_cl9509,zip_derived_cl9239,zip_derived_cl9013]) ).

thf(zip_derived_cl10021,plain,
    ( ( a_select3 @ u_defuse @ sk__17 @ sk__18 )
   != use ),
    inference(simplify,[status(thm)],[zip_derived_cl10020]) ).

thf(zip_derived_cl10023,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_cl8841,zip_derived_cl10021]) ).

thf(zip_derived_cl9791_159,plain,
    leq @ sk__18 @ ( pred @ pv5 ),
    inference(simplify,[status(thm)],[zip_derived_cl9790]) ).

thf(zip_derived_cl9509_160,plain,
    leq @ n0 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl9508]) ).

thf(zip_derived_cl9239_161,plain,
    leq @ n0 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl9238]) ).

thf(zip_derived_cl9013_162,plain,
    leq @ sk__17 @ n2,
    inference(simplify,[status(thm)],[zip_derived_cl9012]) ).

thf(zip_derived_cl10024,plain,
    use != use,
    inference(demod,[status(thm)],[zip_derived_cl10023,zip_derived_cl9791,zip_derived_cl9509,zip_derived_cl9239,zip_derived_cl9013]) ).

thf(zip_derived_cl10025,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl10024]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV095+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Jgkpf76VEC true
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Aug 29 07:15:00 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.47/0.60  % Total configuration time : 435
% 0.47/0.60  % Estimated wc time : 1092
% 0.47/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.64  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.66  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.38/2.72  % Solved by fo/fo3_bce.sh.
% 15.38/2.72  % BCE start: 164
% 15.38/2.72  % BCE eliminated: 0
% 15.38/2.72  % PE start: 164
% 15.38/2.72  logic: eq
% 15.38/2.72  % PE eliminated: 3
% 15.38/2.72  % done 744 iterations in 1.984s
% 15.38/2.72  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.38/2.72  % SZS output start Refutation
% See solution above
% 15.38/2.72  
% 15.38/2.72  
% 15.38/2.72  % Terminating...
% 15.72/2.83  % Runner terminated.
% 15.72/2.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------