TSTP Solution File: SWV103+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV103+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.cO9JRm99F8 true

% Computer : n017.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 00:07:43 EDT 2023

% Result   : Theorem 45.90s 7.20s
% Output   : Refutation 45.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   68
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  221 ( 115 unt;  18 typ;   0 def)
%            Number of atoms       :  835 ( 776 equ;   0 cnn)
%            Maximal formula atoms :   18 (   4 avg)
%            Number of connectives : 2837 ( 121   ~; 594   |;  34   &;2084   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;  13 con; 0-3 aty)
%            Number of variables   :  119 (   0   ^; 119   !;   0   ?; 119   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n3_type,type,
    n3: $i ).

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

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

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

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

thf(tptp_float_0_0_type,type,
    tptp_float_0_0: $i ).

thf(sum_type,type,
    sum: $i > $i > $i > $i ).

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

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

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

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

thf(tptp_update2_type,type,
    tptp_update2: $i > $i > $i > $i ).

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

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

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

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

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

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

thf(gt_5_0,axiom,
    gt @ n5 @ n0 ).

thf(zip_derived_cl134,plain,
    gt @ n5 @ n0,
    inference(cnf,[status(esa)],[gt_5_0]) ).

thf(sum_plus_base,axiom,
    ! [Body: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ Body )
      = n0 ) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ( sum @ n0 @ tptp_minus_1 @ X0 )
      = n0 ),
    inference(cnf,[status(esa)],[sum_plus_base]) ).

thf(sum_plus_base_float,axiom,
    ! [Body: $i] :
      ( tptp_float_0_0
      = ( sum @ n0 @ tptp_minus_1 @ Body ) ) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( tptp_float_0_0
      = ( sum @ n0 @ tptp_minus_1 @ X0 ) ),
    inference(cnf,[status(esa)],[sum_plus_base_float]) ).

thf(zip_derived_cl283,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl291,plain,
    gt @ n5 @ tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl283]) ).

thf(sel2_update_2,axiom,
    ! [I: $i,U: $i,X: $i,VAL: $i,VAL2: $i] :
      ( ( ( I != U )
        & ( ( a_select2 @ X @ U )
          = VAL ) )
     => ( ( a_select2 @ ( tptp_update2 @ X @ I @ VAL2 ) @ U )
        = VAL ) ) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( ( a_select2 @ X1 @ X2 )
       != X0 )
      | ( X3 = X2 )
      | ( ( a_select2 @ ( tptp_update2 @ X1 @ X3 @ X4 ) @ X2 )
        = X0 ) ),
    inference(cnf,[status(esa)],[sel2_update_2]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl755_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( a_select2 @ ( tptp_update2 @ X3 @ X2 @ X1 ) @ X0 )
        = ( a_select2 @ X3 @ X0 ) )
      | ( X2 = X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl113]) ).

thf(quaternion_ds1_inuse_0015,conjecture,
    ( ( ( ( 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_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 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
        = use )
      & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
        = use )
      & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
        = use )
      & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
        = use )
      & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
        = use )
      & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
        = use ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( 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_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 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
          = use )
        & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
          = use )
        & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
          = use )
        & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
          = use )
        & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
          = use )
        & ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
          = use ) ) ),
    inference('cnf.neg',[status(esa)],[quaternion_ds1_inuse_0015]) ).

thf(zip_derived_cl125,plain,
    ( ( ( 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 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n0 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ n0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n5 )
     != use ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283_015,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_016,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl119,plain,
    ( ( a_select3 @ u_defuse @ n0 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283_017,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_018,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl286,plain,
    ( ( a_select3 @ u_defuse @ tptp_float_0_0 @ tptp_float_0_0 )
    = use ),
    inference(demod,[status(thm)],[zip_derived_cl119,zip_derived_cl283,zip_derived_cl283]) ).

thf(zip_derived_cl283_019,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl120,plain,
    ( ( a_select3 @ u_defuse @ n1 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283_020,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl287,plain,
    ( ( a_select3 @ u_defuse @ n1 @ tptp_float_0_0 )
    = use ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl283]) ).

thf(zip_derived_cl283_021,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl121,plain,
    ( ( a_select3 @ u_defuse @ n2 @ n0 )
    = use ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283_022,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl288,plain,
    ( ( a_select3 @ u_defuse @ n2 @ tptp_float_0_0 )
    = use ),
    inference(demod,[status(thm)],[zip_derived_cl121,zip_derived_cl283]) ).

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

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

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

thf(zip_derived_cl283_023,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_024,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_025,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_026,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_027,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_028,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl283_029,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(sel2_update_1,axiom,
    ! [X: $i,U: $i,VAL: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X @ U @ VAL ) @ U )
      = VAL ) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl1850,plain,
    ( ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( use != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
     != use )
    | ( use != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl283,zip_derived_cl283,zip_derived_cl286,zip_derived_cl283,zip_derived_cl287,zip_derived_cl283,zip_derived_cl288,zip_derived_cl122,zip_derived_cl123,zip_derived_cl124,zip_derived_cl283,zip_derived_cl283,zip_derived_cl283,zip_derived_cl283,zip_derived_cl283,zip_derived_cl283,zip_derived_cl283,zip_derived_cl112]) ).

thf(zip_derived_cl1851,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n4 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1850]) ).

thf(zip_derived_cl9176,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n4 )
     != use )
    | ( n5 = n4 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl1851]) ).

thf(zip_derived_cl112_030,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl9297,plain,
    ( ( use != use )
    | ( n5 = n4 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl9176,zip_derived_cl112]) ).

thf(zip_derived_cl9298,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n3 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n5 = n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9297]) ).

thf(zip_derived_cl9816,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ tptp_float_0_0 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9298]) ).

thf(zip_derived_cl9817,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n5 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n2 )
     != use )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9816]) ).

thf(zip_derived_cl9818,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
     != use )
    | ( n5 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n5 @ use ) @ n1 )
     != use )
    | ( n5 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9817]) ).

thf(zip_derived_cl9871,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n1 )
     != use )
    | ( n5 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9818]) ).

thf(zip_derived_cl9872,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n2 )
     != use )
    | ( n5 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n5 = n1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9871]) ).

thf(zip_derived_cl9873,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9872]) ).

thf(zip_derived_cl9874,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n4 @ use ) @ n3 )
     != use )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9873]) ).

thf(zip_derived_cl9875,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n3 )
     != use )
    | ( n4 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9874]) ).

thf(zip_derived_cl112_031,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl9876,plain,
    ( ( use != use )
    | ( n4 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl9875,zip_derived_cl112]) ).

thf(zip_derived_cl9877,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use )
    | ( n4 = n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9876]) ).

thf(zip_derived_cl9878,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n2 )
     != use )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = tptp_float_0_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9877]) ).

thf(zip_derived_cl9938,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n2 )
     != use )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9878]) ).

thf(zip_derived_cl112_032,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl9939,plain,
    ( ( use != use )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference(demod,[status(thm)],[zip_derived_cl9938,zip_derived_cl112]) ).

thf(zip_derived_cl9940,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n3 @ use ) @ n1 )
     != use )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9939]) ).

thf(zip_derived_cl9941,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ n1 )
     != use )
    | ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9940]) ).

thf(zip_derived_cl9942,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n1 )
     != use )
    | ( n2 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n3 = n1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9941]) ).

thf(zip_derived_cl112_033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl9943,plain,
    ( ( use != use )
    | ( n2 = n1 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n3 = n1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9942,zip_derived_cl112]) ).

thf(zip_derived_cl9944,plain,
    ( ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ n2 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n2 = n1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9943]) ).

thf(zip_derived_cl9945,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ n1 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n2 = tptp_float_0_0 )
    | ( n2 = n1 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n3 = n1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9944]) ).

thf(zip_derived_cl9946,plain,
    ( ( ( a_select2 @ ( tptp_update2 @ sigma_defuse @ tptp_float_0_0 @ use ) @ tptp_float_0_0 )
     != use )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = n1 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl755,zip_derived_cl9945]) ).

thf(zip_derived_cl112_034,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( a_select2 @ ( tptp_update2 @ X1 @ X2 @ X0 ) @ X2 )
      = X0 ),
    inference(cnf,[status(esa)],[sel2_update_1]) ).

thf(zip_derived_cl9947,plain,
    ( ( use != use )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = n1 )
    | ( n2 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9946,zip_derived_cl112]) ).

thf(zip_derived_cl9948,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n2 = n1 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n3 = n1 )
    | ( n1 = tptp_float_0_0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9947]) ).

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

thf(zip_derived_cl156,plain,
    ( ( succ @ ( succ @ n0 ) )
    = n2 ),
    inference(cnf,[status(esa)],[successor_2]) ).

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

thf(zip_derived_cl155,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl197,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl9961,plain,
    ( ( ( succ @ n2 )
      = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9948,zip_derived_cl197]) ).

thf(successor_3,axiom,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ) ).

thf(zip_derived_cl157,plain,
    ( ( succ @ ( succ @ ( succ @ n0 ) ) )
    = n3 ),
    inference(cnf,[status(esa)],[successor_3]) ).

thf(zip_derived_cl155_035,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl197_036,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl217,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl155,zip_derived_cl197]) ).

thf(zip_derived_cl10284,plain,
    ( ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n1 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9961,zip_derived_cl217]) ).

thf(zip_derived_cl10285,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n4 = n2 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n3 = n1 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10284]) ).

thf(zip_derived_cl197_037,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl10365,plain,
    ( ( ( succ @ n3 )
      = n2 )
    | ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10285,zip_derived_cl197]) ).

thf(successor_4,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
    = n4 ) ).

thf(zip_derived_cl153,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) )
    = n4 ),
    inference(cnf,[status(esa)],[successor_4]) ).

thf(zip_derived_cl283_038,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl155_039,plain,
    ( ( succ @ n0 )
    = n1 ),
    inference(cnf,[status(esa)],[successor_1]) ).

thf(zip_derived_cl283_040,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl296,plain,
    ( ( succ @ tptp_float_0_0 )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl283]) ).

thf(zip_derived_cl197_041,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl217_042,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl155,zip_derived_cl197]) ).

thf(zip_derived_cl541,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217]) ).

thf(zip_derived_cl10687,plain,
    ( ( n4 = n2 )
    | ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n1 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n2 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10365,zip_derived_cl541]) ).

thf(zip_derived_cl10688,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n5 = n2 )
    | ( n4 = n1 )
    | ( n4 = tptp_float_0_0 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n4 = n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10687]) ).

thf(zip_derived_cl197_043,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl10726,plain,
    ( ( ( succ @ n4 )
      = n2 )
    | ( n4 = n2 )
    | ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10688,zip_derived_cl197]) ).

thf(successor_5,axiom,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ) ).

thf(zip_derived_cl154,plain,
    ( ( succ @ ( succ @ ( succ @ ( succ @ ( succ @ n0 ) ) ) ) )
    = n5 ),
    inference(cnf,[status(esa)],[successor_5]) ).

thf(zip_derived_cl283_044,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl296_045,plain,
    ( ( succ @ tptp_float_0_0 )
    = n1 ),
    inference(demod,[status(thm)],[zip_derived_cl155,zip_derived_cl283]) ).

thf(zip_derived_cl197_046,plain,
    ( ( succ @ n1 )
    = n2 ),
    inference(demod,[status(thm)],[zip_derived_cl156,zip_derived_cl155]) ).

thf(zip_derived_cl217_047,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl155,zip_derived_cl197]) ).

thf(zip_derived_cl541_048,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217]) ).

thf(zip_derived_cl666,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

thf(zip_derived_cl11047,plain,
    ( ( n5 = n2 )
    | ( n4 = n2 )
    | ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n2 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n1 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10726,zip_derived_cl666]) ).

thf(zip_derived_cl11048,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = n1 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n4 = n2 )
    | ( n5 = n2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl11047]) ).

thf(gt_4_1,axiom,
    gt @ n4 @ n1 ).

thf(zip_derived_cl138,plain,
    gt @ n4 @ n1,
    inference(cnf,[status(esa)],[gt_4_1]) ).

thf(zip_derived_cl11074,plain,
    ( ( gt @ n4 @ n5 )
    | ( n5 = n2 )
    | ( n4 = n2 )
    | ( n3 = n2 )
    | ( n1 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11048,zip_derived_cl138]) ).

thf(gt_succ,axiom,
    ! [X: $i] : ( gt @ ( succ @ X ) @ X ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] : ( gt @ ( succ @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[gt_succ]) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( gt @ X0 @ X1 )
      | ~ ( gt @ X1 @ X2 )
      | ( gt @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[transitivity_gt]) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( gt @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl11427,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n4 = n2 )
    | ( n5 = n2 )
    | ( gt @ ( succ @ n4 ) @ n5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11074,zip_derived_cl219]) ).

thf(zip_derived_cl666_049,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

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

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

thf(zip_derived_cl11439,plain,
    ( ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n1 = tptp_float_0_0 )
    | ( n3 = n2 )
    | ( n4 = n2 )
    | ( n5 = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11427,zip_derived_cl666,zip_derived_cl2]) ).

thf(gt_1_0,axiom,
    gt @ n1 @ n0 ).

thf(zip_derived_cl135,plain,
    gt @ n1 @ n0,
    inference(cnf,[status(esa)],[gt_1_0]) ).

thf(zip_derived_cl283_050,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl292,plain,
    gt @ n1 @ tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl283]) ).

thf(zip_derived_cl11513,plain,
    ( ( gt @ tptp_float_0_0 @ tptp_float_0_0 )
    | ( n5 = n2 )
    | ( n4 = n2 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11439,zip_derived_cl292]) ).

thf(zip_derived_cl2_051,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl11821,plain,
    ( ( n5 = n2 )
    | ( n4 = n2 )
    | ( n3 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11513,zip_derived_cl2]) ).

thf(zip_derived_cl217_052,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl155,zip_derived_cl197]) ).

thf(zip_derived_cl11905,plain,
    ( ( ( succ @ n3 )
      = n3 )
    | ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n2 )
    | ( n5 = n2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11821,zip_derived_cl217]) ).

thf(zip_derived_cl541_053,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217]) ).

thf(zip_derived_cl12279,plain,
    ( ( n4 = n3 )
    | ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n4 = n2 )
    | ( n5 = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl11905,zip_derived_cl541]) ).

thf(zip_derived_cl12280,plain,
    ( ( n5 = n2 )
    | ( n4 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n3 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 )
    | ( n4 = n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12279]) ).

thf(zip_derived_cl217_054,plain,
    ( ( succ @ n2 )
    = n3 ),
    inference(demod,[status(thm)],[zip_derived_cl157,zip_derived_cl155,zip_derived_cl197]) ).

thf(zip_derived_cl12318,plain,
    ( ( ( succ @ n4 )
      = n3 )
    | ( n4 = n3 )
    | ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n2 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12280,zip_derived_cl217]) ).

thf(zip_derived_cl666_055,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

thf(zip_derived_cl12691,plain,
    ( ( n5 = n3 )
    | ( n4 = n3 )
    | ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = n3 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl12318,zip_derived_cl666]) ).

thf(zip_derived_cl12692,plain,
    ( ( n5 = n2 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = n3 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl12691]) ).

thf(gt_4_2,axiom,
    gt @ n4 @ n2 ).

thf(zip_derived_cl142,plain,
    gt @ n4 @ n2,
    inference(cnf,[status(esa)],[gt_4_2]) ).

thf(zip_derived_cl12719,plain,
    ( ( gt @ n4 @ n5 )
    | ( n5 = n3 )
    | ( n4 = n3 )
    | ( n2 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n4 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12692,zip_derived_cl142]) ).

thf(zip_derived_cl219_056,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( gt @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl13578,plain,
    ( ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = n3 )
    | ( gt @ ( succ @ n4 ) @ n5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12719,zip_derived_cl219]) ).

thf(zip_derived_cl666_057,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

thf(zip_derived_cl2_058,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl13590,plain,
    ( ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n2 = tptp_float_0_0 )
    | ( n4 = n3 )
    | ( n5 = n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl13578,zip_derived_cl666,zip_derived_cl2]) ).

thf(gt_2_0,axiom,
    gt @ n2 @ n0 ).

thf(zip_derived_cl136,plain,
    gt @ n2 @ n0,
    inference(cnf,[status(esa)],[gt_2_0]) ).

thf(zip_derived_cl283_059,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl293,plain,
    gt @ n2 @ tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl136,zip_derived_cl283]) ).

thf(zip_derived_cl13610,plain,
    ( ( gt @ tptp_float_0_0 @ tptp_float_0_0 )
    | ( n5 = n3 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n4 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13590,zip_derived_cl293]) ).

thf(zip_derived_cl2_060,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl13970,plain,
    ( ( n5 = n3 )
    | ( n4 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n4 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl13610,zip_derived_cl2]) ).

thf(zip_derived_cl541_061,plain,
    ( ( succ @ n3 )
    = n4 ),
    inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217]) ).

thf(zip_derived_cl14181,plain,
    ( ( ( succ @ n4 )
      = n4 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = n3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13970,zip_derived_cl541]) ).

thf(zip_derived_cl666_062,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

thf(zip_derived_cl14335,plain,
    ( ( n5 = n4 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = n3 ) ),
    inference(demod,[status(thm)],[zip_derived_cl14181,zip_derived_cl666]) ).

thf(zip_derived_cl14336,plain,
    ( ( n5 = n3 )
    | ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl14335]) ).

thf(gt_4_3,axiom,
    gt @ n4 @ n3 ).

thf(zip_derived_cl145,plain,
    gt @ n4 @ n3,
    inference(cnf,[status(esa)],[gt_4_3]) ).

thf(zip_derived_cl14362,plain,
    ( ( gt @ n4 @ n5 )
    | ( n5 = n4 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n3 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14336,zip_derived_cl145]) ).

thf(zip_derived_cl219_063,plain,
    ! [X0: $i,X1: $i] :
      ( ( gt @ ( succ @ X0 ) @ X1 )
      | ~ ( gt @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1]) ).

thf(zip_derived_cl15570,plain,
    ( ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 )
    | ( gt @ ( succ @ n4 ) @ n5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14362,zip_derived_cl219]) ).

thf(zip_derived_cl666_064,plain,
    ( ( succ @ n4 )
    = n5 ),
    inference(demod,[status(thm)],[zip_derived_cl154,zip_derived_cl283,zip_derived_cl296,zip_derived_cl197,zip_derived_cl217,zip_derived_cl541]) ).

thf(zip_derived_cl2_065,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl15582,plain,
    ( ( n3 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = n4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15570,zip_derived_cl666,zip_derived_cl2]) ).

thf(gt_3_0,axiom,
    gt @ n3 @ n0 ).

thf(zip_derived_cl137,plain,
    gt @ n3 @ n0,
    inference(cnf,[status(esa)],[gt_3_0]) ).

thf(zip_derived_cl283_066,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl294,plain,
    gt @ n3 @ tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl283]) ).

thf(zip_derived_cl15600,plain,
    ( ( gt @ tptp_float_0_0 @ tptp_float_0_0 )
    | ( n5 = n4 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15582,zip_derived_cl294]) ).

thf(zip_derived_cl2_067,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl15773,plain,
    ( ( n5 = n4 )
    | ( n4 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl15600,zip_derived_cl2]) ).

thf(gt_5_4,axiom,
    gt @ n5 @ n4 ).

thf(zip_derived_cl126,plain,
    gt @ n5 @ n4,
    inference(cnf,[status(esa)],[gt_5_4]) ).

thf(zip_derived_cl15840,plain,
    ( ( gt @ n5 @ n5 )
    | ( n5 = tptp_float_0_0 )
    | ( n4 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15773,zip_derived_cl126]) ).

thf(zip_derived_cl2_068,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl17227,plain,
    ( ( n4 = tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl15840,zip_derived_cl2]) ).

thf(gt_4_0,axiom,
    gt @ n4 @ n0 ).

thf(zip_derived_cl133,plain,
    gt @ n4 @ n0,
    inference(cnf,[status(esa)],[gt_4_0]) ).

thf(zip_derived_cl283_069,plain,
    tptp_float_0_0 = n0,
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl86]) ).

thf(zip_derived_cl290,plain,
    gt @ n4 @ tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl133,zip_derived_cl283]) ).

thf(zip_derived_cl17242,plain,
    ( ( gt @ tptp_float_0_0 @ tptp_float_0_0 )
    | ( n5 = tptp_float_0_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17227,zip_derived_cl290]) ).

thf(zip_derived_cl2_070,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl17405,plain,
    n5 = tptp_float_0_0,
    inference(demod,[status(thm)],[zip_derived_cl17242,zip_derived_cl2]) ).

thf(zip_derived_cl2_071,plain,
    ! [X0: $i] :
      ~ ( gt @ X0 @ X0 ),
    inference(cnf,[status(esa)],[irreflexivity_gt]) ).

thf(zip_derived_cl17481,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl17405,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17  % Problem  : SWV103+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.19  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cO9JRm99F8 true
% 0.16/0.40  % Computer : n017.cluster.edu
% 0.16/0.40  % Model    : x86_64 x86_64
% 0.16/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40  % Memory   : 8042.1875MB
% 0.16/0.40  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40  % CPULimit : 300
% 0.16/0.40  % WCLimit  : 300
% 0.16/0.40  % DateTime : Tue Aug 29 05:04:43 EDT 2023
% 0.16/0.40  % CPUTime  : 
% 0.16/0.40  % Running portfolio for 300 s
% 0.16/0.40  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.40  % Number of cores: 8
% 0.16/0.40  % Python version: Python 3.6.8
% 0.16/0.41  % Running in FO mode
% 0.57/0.71  % Total configuration time : 435
% 0.57/0.71  % Estimated wc time : 1092
% 0.57/0.71  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 45.90/7.20  % Solved by fo/fo5.sh.
% 45.90/7.20  % done 2992 iterations in 6.345s
% 45.90/7.20  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 45.90/7.20  % SZS output start Refutation
% See solution above
% 45.90/7.21  
% 45.90/7.21  
% 45.90/7.21  % Terminating...
% 45.90/7.21  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 45.90/7.31  % Runner terminated.
% 46.54/7.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------