TSTP Solution File: COM003+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MbVc4iDhjJ true

% Computer : n003.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 : Wed Aug 30 18:49:03 EDT 2023

% Result   : Theorem 0.56s 0.87s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   60
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  300 (  27 unt;  43 typ;   0 def)
%            Number of atoms       :  843 (   0 equ;   0 cnn)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives : 2941 ( 421   ~; 503   |;  44   &;1934   @)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   83 (  83   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   31 (  30 usr;   5 con; 0-3 aty)
%            Number of variables   :  397 (   0   ^; 389   !;   8   ?; 397   :)

% Comments : 
%------------------------------------------------------------------------------
thf(algorithm_type,type,
    algorithm: $i > $o ).

thf(zip_tseitin_6_type,type,
    zip_tseitin_6: $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(sk__type,type,
    sk_: $i > $i > $i ).

thf(sk__6_type,type,
    sk__6: $i > $i ).

thf(halts3_type,type,
    halts3: $i > $i > $i > $o ).

thf(decides_type,type,
    decides: $i > $i > $i > $o ).

thf(zip_tseitin_4_type,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(good_type,type,
    good: $i ).

thf(program_type,type,
    program: $i > $o ).

thf(sk__4_type,type,
    sk__4: $i > $i ).

thf(zip_tseitin_12_type,type,
    zip_tseitin_12: $i > $i > $o ).

thf(halts2_type,type,
    halts2: $i > $i > $o ).

thf(sk__5_type,type,
    sk__5: $i > $i ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $o ).

thf(sk__1_type,type,
    sk__1: $i ).

thf(zip_tseitin_11_type,type,
    zip_tseitin_11: $i > $i > $i > $o ).

thf(sk__2_type,type,
    sk__2: $i > $i ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $o ).

thf(outputs_type,type,
    outputs: $i > $i > $o ).

thf(bad_type,type,
    bad: $i ).

thf(zip_tseitin_3_type,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

thf(zip_tseitin_7_type,type,
    zip_tseitin_7: $i > $i > $i > $o ).

thf(zip_tseitin_5_type,type,
    zip_tseitin_5: $i > $i > $i > $o ).

thf(zip_tseitin_10_type,type,
    zip_tseitin_10: $i > $i > $o ).

thf(zip_tseitin_9_type,type,
    zip_tseitin_9: $i > $i > $i > $o ).

thf(zip_tseitin_8_type,type,
    zip_tseitin_8: $i > $i > $o ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

thf(p2,axiom,
    ! [W: $i] :
      ( ( ! [Y: $i] :
            ( ( program @ Y )
           => ! [Z: $i] : ( decides @ W @ Y @ Z ) )
        & ( program @ W ) )
     => ! [Y: $i,Z: $i] :
          ( ( ( ( halts2 @ Y @ Z )
              & ( program @ Y ) )
           => ( ( outputs @ W @ good )
              & ( halts3 @ W @ Y @ Z ) ) )
          & ( ( ~ ( halts2 @ Y @ Z )
              & ( program @ Y ) )
           => ( ( outputs @ W @ bad )
              & ( halts3 @ W @ Y @ Z ) ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Y: $i,W: $i] :
      ( ( ( program @ Y )
       => ! [Z: $i] : ( decides @ W @ Y @ Z ) )
     => ( zip_tseitin_2 @ Y @ W ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,type,
    zip_tseitin_5: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [Z: $i,Y: $i,W: $i] :
      ( ( zip_tseitin_5 @ Z @ Y @ W )
     => ( ( ( ( program @ Y )
            & ~ ( halts2 @ Y @ Z ) )
         => ( zip_tseitin_4 @ Z @ Y @ W ) )
        & ( ( ( program @ Y )
            & ( halts2 @ Y @ Z ) )
         => ( zip_tseitin_3 @ Z @ Y @ W ) ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_4: $i > $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [Z: $i,Y: $i,W: $i] :
      ( ( zip_tseitin_4 @ Z @ Y @ W )
     => ( ( halts3 @ W @ Y @ Z )
        & ( outputs @ W @ bad ) ) ) ).

thf(zf_stmt_5,type,
    zip_tseitin_3: $i > $i > $i > $o ).

thf(zf_stmt_6,axiom,
    ! [Z: $i,Y: $i,W: $i] :
      ( ( zip_tseitin_3 @ Z @ Y @ W )
     => ( ( halts3 @ W @ Y @ Z )
        & ( outputs @ W @ good ) ) ) ).

thf(zf_stmt_7,type,
    zip_tseitin_2: $i > $i > $o ).

thf(zf_stmt_8,axiom,
    ! [W: $i] :
      ( ( ( program @ W )
        & ! [Y: $i] : ( zip_tseitin_2 @ Y @ W ) )
     => ! [Y: $i,Z: $i] : ( zip_tseitin_5 @ Z @ Y @ W ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_2 @ ( sk__4 @ X2 ) @ X2 )
      | ~ ( program @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( program @ ( sk__4 @ X0 ) )
      | ~ ( program @ X0 )
      | ( zip_tseitin_5 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(prove_this,conjecture,
    ~ ? [X1: $i] :
        ( ! [Y1: $i] :
            ( ( program @ Y1 )
           => ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) )
        & ( algorithm @ X1 ) ) ).

thf(zf_stmt_9,negated_conjecture,
    ? [X1: $i] :
      ( ! [Y1: $i] :
          ( ( program @ Y1 )
         => ! [Z1: $i] : ( decides @ X1 @ Y1 @ Z1 ) )
      & ( algorithm @ X1 ) ),
    inference('cnf.neg',[status(esa)],[prove_this]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i] :
      ( ( decides @ sk__8 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(p1,axiom,
    ( ? [X: $i] :
        ( ( algorithm @ X )
        & ! [Y: $i] :
            ( ( program @ Y )
           => ! [Z: $i] : ( decides @ X @ Y @ Z ) ) )
   => ? [W: $i] :
        ( ( program @ W )
        & ! [Y: $i] :
            ( ( program @ Y )
           => ! [Z: $i] : ( decides @ W @ Y @ Z ) ) ) ) ).

thf(zf_stmt_10,axiom,
    ! [Y: $i,X: $i] :
      ( ( ( program @ Y )
       => ! [Z: $i] : ( decides @ X @ Y @ Z ) )
     => ( zip_tseitin_0 @ Y @ X ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( decides @ X1 @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl29,plain,
    algorithm @ sk__8,
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zf_stmt_11,type,
    zip_tseitin_1: $i > $o ).

thf(zf_stmt_12,axiom,
    ! [W: $i] :
      ( ( zip_tseitin_1 @ W )
     => ( ! [Y: $i] :
            ( ( program @ Y )
           => ! [Z: $i] : ( decides @ W @ Y @ Z ) )
        & ( program @ W ) ) ) ).

thf(zf_stmt_13,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_14,axiom,
    ( ? [X: $i] :
        ( ! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
        & ( algorithm @ X ) )
   => ? [W: $i] : ( zip_tseitin_1 @ W ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_1 @ sk__1 )
      | ~ ( algorithm @ X0 )
      | ~ ( zip_tseitin_0 @ ( sk__2 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_14]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( zip_tseitin_0 @ ( sk__2 @ sk__8 ) @ sk__8 )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( decides @ sk__8 @ ( sk__2 @ sk__8 ) @ ( sk_ @ sk__8 @ ( sk__2 @ sk__8 ) ) )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ( decides @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_1 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( decides @ sk__8 @ ( sk__2 @ sk__8 ) @ ( sk_ @ sk__8 @ ( sk__2 @ sk__8 ) ) )
      | ( decides @ sk__1 @ X1 @ X0 )
      | ~ ( program @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl2]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ ( sk__2 @ sk__8 ) )
      | ( decides @ sk__1 @ X1 @ X0 )
      | ~ ( program @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl48]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl31_001,plain,
    ( ~ ( zip_tseitin_0 @ ( sk__2 @ sk__8 ) @ sk__8 )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl29,zip_derived_cl4]) ).

thf(zip_derived_cl33,plain,
    ( ( program @ ( sk__2 @ sk__8 ) )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl31]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ( decides @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_1 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ ( sk__2 @ sk__8 ) )
      | ( decides @ sk__1 @ X1 @ X0 )
      | ~ ( program @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl2]) ).

thf(zip_derived_cl119,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X1 )
      | ( decides @ sk__1 @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl50]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 )
      | ~ ( decides @ X1 @ X0 @ ( sk__3 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_5 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_2 @ ( sk__4 @ X2 ) @ X2 )
      | ~ ( program @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_8]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( decides @ X0 @ ( sk__4 @ X0 ) @ ( sk__3 @ X0 @ ( sk__4 @ X0 ) ) )
      | ~ ( program @ X0 )
      | ( zip_tseitin_5 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ ( sk__4 @ sk__1 ) )
      | ~ ( program @ sk__1 )
      | ( zip_tseitin_5 @ X1 @ X0 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl38]) ).

thf(zip_derived_cl30_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( decides @ sk__8 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_9]) ).

thf(zip_derived_cl32_005,plain,
    ( ~ ( decides @ sk__8 @ ( sk__2 @ sk__8 ) @ ( sk_ @ sk__8 @ ( sk__2 @ sk__8 ) ) )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl31]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( program @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl49,plain,
    ( ~ ( decides @ sk__8 @ ( sk__2 @ sk__8 ) @ ( sk_ @ sk__8 @ ( sk__2 @ sk__8 ) ) )
    | ( program @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl32,zip_derived_cl3]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( program @ ( sk__2 @ sk__8 ) )
    | ( program @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).

thf(zip_derived_cl33_006,plain,
    ( ( program @ ( sk__2 @ sk__8 ) )
    | ( zip_tseitin_1 @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl31]) ).

thf(zip_derived_cl3_007,plain,
    ! [X0: $i] :
      ( ( program @ X0 )
      | ~ ( zip_tseitin_1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl51,plain,
    ( ( program @ ( sk__2 @ sk__8 ) )
    | ( program @ sk__1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl33,zip_derived_cl3]) ).

thf(zip_derived_cl112,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ ( sk__4 @ sk__1 ) )
      | ( zip_tseitin_5 @ X1 @ X0 @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl120,zip_derived_cl112]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_5 @ X1 @ X0 @ sk__1 )
      | ~ ( program @ sk__1 )
      | ( zip_tseitin_5 @ X3 @ X2 @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl121]) ).

thf(zip_derived_cl112_008,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_5 @ X1 @ X0 @ sk__1 )
      | ( zip_tseitin_5 @ X3 @ X2 @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl122,zip_derived_cl112]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X1 @ X0 @ sk__1 ),
    inference(condensation,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( outputs @ X0 @ bad )
      | ~ ( zip_tseitin_4 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_5 @ X2 @ X1 @ X0 )
      | ( halts2 @ X1 @ X2 )
      | ~ ( program @ X1 )
      | ( outputs @ X0 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl10]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45]) ).

thf(p3,axiom,
    ! [W: $i] :
      ( ( ! [Y: $i,Z: $i] :
            ( ( ( ( halts2 @ Y @ Z )
                & ( program @ Y ) )
             => ( ( outputs @ W @ good )
                & ( halts3 @ W @ Y @ Z ) ) )
            & ( ( ~ ( halts2 @ Y @ Z )
                & ( program @ Y ) )
             => ( ( outputs @ W @ bad )
                & ( halts3 @ W @ Y @ Z ) ) ) )
        & ( program @ W ) )
     => ? [V: $i] :
          ( ( program @ V )
          & ! [Y: $i] :
              ( ( ( ( outputs @ W @ good )
                  & ( halts3 @ W @ Y @ Y )
                  & ( program @ Y ) )
               => ~ ( halts2 @ V @ Y ) )
              & ( ( ( outputs @ W @ bad )
                  & ( halts3 @ W @ Y @ Y )
                  & ( program @ Y ) )
               => ( ( outputs @ V @ bad )
                  & ( halts2 @ V @ Y ) ) ) ) ) ) ).

thf(zf_stmt_15,axiom,
    ! [Z: $i,Y: $i,W: $i] :
      ( ( ( zip_tseitin_8 @ Z @ Y )
       => ( ( halts3 @ W @ Y @ Z )
          & ( outputs @ W @ bad ) ) )
     => ( zip_tseitin_9 @ Z @ Y @ W ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ( zip_tseitin_8 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zf_stmt_16,axiom,
    ! [Z: $i,Y: $i] :
      ( ( zip_tseitin_8 @ Z @ Y )
     => ( ( program @ Y )
        & ~ ( halts2 @ Y @ Z ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( zip_tseitin_8 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ~ ( halts2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).

thf(zf_stmt_17,axiom,
    ! [Z: $i,Y: $i,W: $i] :
      ( ( ( zip_tseitin_6 @ Z @ Y )
       => ( ( halts3 @ W @ Y @ Z )
          & ( outputs @ W @ good ) ) )
     => ( zip_tseitin_7 @ Z @ Y @ W ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ( zip_tseitin_6 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zf_stmt_18,axiom,
    ! [Z: $i,Y: $i] :
      ( ( zip_tseitin_6 @ Z @ Y )
     => ( ( program @ Y )
        & ( halts2 @ Y @ Z ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ X0 )
      | ~ ( zip_tseitin_6 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl14]) ).

thf(zf_stmt_19,type,
    zip_tseitin_12: $i > $i > $o ).

thf(zf_stmt_20,axiom,
    ! [V: $i,W: $i] :
      ( ( zip_tseitin_12 @ V @ W )
     => ( ! [Y: $i] : ( zip_tseitin_11 @ Y @ V @ W )
        & ( program @ V ) ) ) ).

thf(zf_stmt_21,type,
    zip_tseitin_11: $i > $i > $i > $o ).

thf(zf_stmt_22,axiom,
    ! [Y: $i,V: $i,W: $i] :
      ( ( zip_tseitin_11 @ Y @ V @ W )
     => ( ( ( ( program @ Y )
            & ( halts3 @ W @ Y @ Y )
            & ( outputs @ W @ bad ) )
         => ( zip_tseitin_10 @ Y @ V ) )
        & ( ( ( program @ Y )
            & ( halts3 @ W @ Y @ Y )
            & ( outputs @ W @ good ) )
         => ~ ( halts2 @ V @ Y ) ) ) ) ).

thf(zf_stmt_23,type,
    zip_tseitin_10: $i > $i > $o ).

thf(zf_stmt_24,axiom,
    ! [Y: $i,V: $i] :
      ( ( zip_tseitin_10 @ Y @ V )
     => ( ( halts2 @ V @ Y )
        & ( outputs @ V @ bad ) ) ) ).

thf(zf_stmt_25,type,
    zip_tseitin_9: $i > $i > $i > $o ).

thf(zf_stmt_26,type,
    zip_tseitin_8: $i > $i > $o ).

thf(zf_stmt_27,type,
    zip_tseitin_7: $i > $i > $i > $o ).

thf(zf_stmt_28,type,
    zip_tseitin_6: $i > $i > $o ).

thf(zf_stmt_29,axiom,
    ! [W: $i] :
      ( ( ( program @ W )
        & ! [Y: $i,Z: $i] :
            ( ( zip_tseitin_9 @ Z @ Y @ W )
            & ( zip_tseitin_7 @ Z @ Y @ W ) ) )
     => ? [V: $i] : ( zip_tseitin_12 @ V @ W ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_12 @ ( sk__5 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ X0 )
      | ~ ( zip_tseitin_12 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ( program @ ( sk__5 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).

thf(zip_derived_cl67,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ X0 ) )
      | ( program @ ( sk__5 @ X0 ) )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl41]) ).

thf(zip_derived_cl21_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ( zip_tseitin_8 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ X0 )
      | ~ ( zip_tseitin_8 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_16]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ( program @ ( sk__5 @ X0 ) )
      | ( program @ ( sk__6 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl36]) ).

thf(zip_derived_cl134_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45]) ).

thf(zip_derived_cl127_011,plain,
    ! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X1 @ X0 @ sk__1 ),
    inference(condensation,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl11_012,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ X0 @ X1 )
      | ( zip_tseitin_4 @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( halts3 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_4 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 )
      | ( halts2 @ X1 @ X0 )
      | ~ ( program @ X1 )
      | ( halts3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts2 @ X0 @ X1 )
      | ( zip_tseitin_3 @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( halts3 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 )
      | ~ ( halts2 @ X1 @ X0 )
      | ~ ( program @ X1 )
      | ( halts3 @ X2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl7]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( program @ X1 )
      | ~ ( zip_tseitin_5 @ X0 @ X1 @ X2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl44,zip_derived_cl42]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ bad ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl134_013,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45]) ).

thf(zip_derived_cl127_014,plain,
    ! [X0: $i,X1: $i] : ( zip_tseitin_5 @ X1 @ X0 @ sk__1 ),
    inference(condensation,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl12_015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts2 @ X0 @ X1 )
      | ( zip_tseitin_3 @ X1 @ X0 @ X2 )
      | ~ ( zip_tseitin_5 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( outputs @ X0 @ good )
      | ~ ( zip_tseitin_3 @ X1 @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_5 @ X2 @ X1 @ X0 )
      | ~ ( halts2 @ X1 @ X2 )
      | ~ ( program @ X1 )
      | ( outputs @ X0 @ good ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl8]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl43]) ).

thf(zip_derived_cl135,plain,
    ! [X1: $i] :
      ( ( outputs @ sk__1 @ bad )
      | ~ ( program @ X1 )
      | ~ ( program @ X1 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl129]) ).

thf(zip_derived_cl138,plain,
    ! [X1: $i] :
      ( ( outputs @ sk__1 @ good )
      | ~ ( program @ X1 )
      | ( outputs @ sk__1 @ bad ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl17_016,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ( zip_tseitin_6 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( zip_tseitin_6 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_18]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ( halts2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl15]) ).

thf(zip_derived_cl28_017,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_12 @ ( sk__5 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_29]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_11 @ X0 @ X1 @ X2 )
      | ~ ( zip_tseitin_12 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_20]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ( zip_tseitin_11 @ X1 @ ( sk__5 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ bad )
      | ( zip_tseitin_10 @ X0 @ X2 )
      | ~ ( zip_tseitin_11 @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( zip_tseitin_10 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_24]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( zip_tseitin_11 @ X0 @ X1 @ X2 )
      | ~ ( outputs @ X2 @ bad )
      | ~ ( halts3 @ X2 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ( halts2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl22]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_7 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl46]) ).

thf(zip_derived_cl73,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X0 ) @ X1 )
      | ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl53]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( halts3 @ sk__1 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X1 )
      | ~ ( program @ sk__1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl73]) ).

thf(zip_derived_cl112_018,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl201,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( halts3 @ sk__1 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl112]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl201]) ).

thf(zip_derived_cl132_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl272,plain,
    ! [X0: $i] :
      ( ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ( outputs @ sk__1 @ good )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl132]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i] :
      ( ~ ( outputs @ sk__1 @ bad )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl272]) ).

thf(zip_derived_cl126_020,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ( program @ ( sk__5 @ X0 ) )
      | ( program @ ( sk__6 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl36]) ).

thf(zip_derived_cl138_021,plain,
    ! [X1: $i] :
      ( ( outputs @ sk__1 @ good )
      | ~ ( program @ X1 )
      | ( outputs @ sk__1 @ bad ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl34_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl14]) ).

thf(zip_derived_cl53_023,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_7 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl46]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ ( sk__6 @ X0 ) )
      | ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X0 ) @ X1 )
      | ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl53]) ).

thf(zip_derived_cl36_024,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ X0 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( outputs @ X0 @ bad )
      | ( program @ ( sk__6 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl36]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ~ ( program @ sk__1 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts3 @ sk__1 @ X1 @ X1 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl138,zip_derived_cl174]) ).

thf(zip_derived_cl112_025,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl176,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts3 @ sk__1 @ X1 @ X1 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl175,zip_derived_cl112]) ).

thf(zip_derived_cl213,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl176]) ).

thf(zip_derived_cl132_026,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ( outputs @ sk__1 @ good )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl213,zip_derived_cl132]) ).

thf(zip_derived_cl129_027,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl43]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ( outputs @ sk__1 @ good )
      | ~ ( program @ X0 )
      | ~ ( program @ ( sk__5 @ sk__1 ) )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl214,zip_derived_cl129]) ).

thf(zip_derived_cl217,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__5 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl215]) ).

thf(zip_derived_cl227,plain,
    ( ~ ( program @ ( sk__5 @ sk__1 ) )
    | ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference(condensation,[status(thm)],[zip_derived_cl217]) ).

thf(zip_derived_cl228,plain,
    ( ( program @ ( sk__6 @ sk__1 ) )
    | ~ ( program @ sk__1 )
    | ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl227]) ).

thf(zip_derived_cl112_028,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl229,plain,
    ( ( program @ ( sk__6 @ sk__1 ) )
    | ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference(demod,[status(thm)],[zip_derived_cl228,zip_derived_cl112]) ).

thf(zip_derived_cl230,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl138_029,plain,
    ! [X1: $i] :
      ( ( outputs @ sk__1 @ good )
      | ~ ( program @ X1 )
      | ( outputs @ sk__1 @ bad ) ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl233,plain,
    ( ( outputs @ sk__1 @ good )
    | ( outputs @ sk__1 @ good )
    | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl230,zip_derived_cl138]) ).

thf(zip_derived_cl234,plain,
    ( ( outputs @ sk__1 @ bad )
    | ( outputs @ sk__1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl233]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl273,zip_derived_cl234]) ).

thf(zip_derived_cl307,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__6 @ sk__1 ) )
      | ( outputs @ sk__1 @ good )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl305]) ).

thf(zip_derived_cl230_030,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i] :
      ( ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ( outputs @ sk__1 @ good ) ),
    inference(clc,[status(thm)],[zip_derived_cl307,zip_derived_cl230]) ).

thf(zip_derived_cl129_031,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl43]) ).

thf(zip_derived_cl312,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ good )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ ( sk__6 @ sk__1 ) )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl309,zip_derived_cl129]) ).

thf(zip_derived_cl315,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__6 @ sk__1 ) )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl312]) ).

thf(zip_derived_cl230_032,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl316,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ good )
      | ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl315,zip_derived_cl230]) ).

thf(zip_derived_cl129_033,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl43]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good )
      | ~ ( program @ ( sk__5 @ sk__1 ) )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl129]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__5 @ sk__1 ) )
      | ( outputs @ sk__1 @ good )
      | ~ ( program @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl317]) ).

thf(zip_derived_cl326,plain,
    ( ~ ( program @ ( sk__5 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference(condensation,[status(thm)],[zip_derived_cl319]) ).

thf(zip_derived_cl132_034,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl234_035,plain,
    ( ( outputs @ sk__1 @ bad )
    | ( outputs @ sk__1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl233]) ).

thf(zip_derived_cl20_036,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ bad ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl35_037,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ( halts2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl15]) ).

thf(zip_derived_cl41_038,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ( program @ ( sk__5 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ( halts2 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ( program @ ( sk__5 @ X0 ) )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl35,zip_derived_cl41]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i] :
      ( ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ( halts2 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ( program @ ( sk__5 @ X0 ) )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl71]) ).

thf(zip_derived_cl237,plain,
    ( ( outputs @ sk__1 @ good )
    | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( program @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl234,zip_derived_cl171]) ).

thf(zip_derived_cl112_039,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl242,plain,
    ( ( outputs @ sk__1 @ good )
    | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl237,zip_derived_cl112]) ).

thf(zip_derived_cl255,plain,
    ( ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ good )
    | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl242]) ).

thf(zip_derived_cl230_040,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl260,plain,
    ( ( program @ ( sk__5 @ sk__1 ) )
    | ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference(clc,[status(thm)],[zip_derived_cl255,zip_derived_cl230]) ).

thf(zip_derived_cl129_041,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl43]) ).

thf(zip_derived_cl261,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl260,zip_derived_cl129]) ).

thf(zip_derived_cl263,plain,
    ( ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ( outputs @ sk__1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl261]) ).

thf(zip_derived_cl230_042,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl229]) ).

thf(zip_derived_cl264,plain,
    ( ( outputs @ sk__1 @ good )
    | ( program @ ( sk__5 @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl263,zip_derived_cl230]) ).

thf(zip_derived_cl327,plain,
    outputs @ sk__1 @ good,
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl264]) ).

thf(zip_derived_cl34_043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl17,zip_derived_cl14]) ).

thf(zip_derived_cl40_044,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ( zip_tseitin_11 @ X1 @ ( sk__5 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl26]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts2 @ X2 @ X0 )
      | ~ ( zip_tseitin_11 @ X0 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_22]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_7 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl25]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i] :
      ( ( program @ ( sk__6 @ X1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( program @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl34,zip_derived_cl52]) ).

thf(zip_derived_cl36_045,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X2 @ X0 @ X1 )
      | ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl18]) ).

thf(zip_derived_cl141,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X1 )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ( program @ ( sk__6 @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl68,zip_derived_cl36]) ).

thf(zip_derived_cl331,plain,
    ! [X0: $i] :
      ( ~ ( program @ sk__1 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl141]) ).

thf(zip_derived_cl112_046,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl336,plain,
    ! [X0: $i] :
      ( ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl331,zip_derived_cl112]) ).

thf(zip_derived_cl132_047,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl338,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl132]) ).

thf(zip_derived_cl339,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ bad )
      | ~ ( program @ ( sk__5 @ sk__1 ) )
      | ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl338]) ).

thf(zip_derived_cl341,plain,
    ( ( outputs @ sk__1 @ bad )
    | ~ ( program @ ( sk__5 @ sk__1 ) )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl339]) ).

thf(zip_derived_cl342,plain,
    ( ( program @ ( sk__6 @ sk__1 ) )
    | ~ ( program @ sk__1 )
    | ( outputs @ sk__1 @ bad )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl126,zip_derived_cl341]) ).

thf(zip_derived_cl112_048,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl343,plain,
    ( ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ bad )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl342,zip_derived_cl112]) ).

thf(zip_derived_cl344,plain,
    ( ( outputs @ sk__1 @ bad )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl343]) ).

thf(zip_derived_cl132_049,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl327_050,plain,
    outputs @ sk__1 @ good,
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl264]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ good ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl41_051,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( zip_tseitin_7 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ( program @ ( sk__5 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl28,zip_derived_cl27]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ~ ( outputs @ X0 @ good )
      | ~ ( halts3 @ X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ( program @ ( sk__5 @ X0 ) )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl41]) ).

thf(zip_derived_cl328,plain,
    ( ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
    | ~ ( program @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl63]) ).

thf(zip_derived_cl112_052,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl333,plain,
    ( ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl328,zip_derived_cl112]) ).

thf(zip_derived_cl352,plain,
    ( ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl333]) ).

thf(zip_derived_cl355,plain,
    ( ( outputs @ sk__1 @ bad )
    | ( program @ ( sk__5 @ sk__1 ) )
    | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl344,zip_derived_cl352]) ).

thf(zip_derived_cl134_053,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45]) ).

thf(zip_derived_cl134_054,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts2 @ X0 @ X1 )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl45]) ).

thf(zip_derived_cl37_055,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ~ ( halts2 @ X1 @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl21,zip_derived_cl19]) ).

thf(zip_derived_cl132_056,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl327_057,plain,
    outputs @ sk__1 @ good,
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl264]) ).

thf(zip_derived_cl16_058,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ good ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl52_059,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_7 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( program @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl25]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( outputs @ X1 @ good )
      | ~ ( halts3 @ X1 @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ good )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( program @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl52]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
      | ~ ( outputs @ X1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
      | ~ ( program @ sk__1 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl148]) ).

thf(zip_derived_cl112_060,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl332,zip_derived_cl112]) ).

thf(zip_derived_cl132_061,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl347,plain,
    ! [X0: $i] :
      ( ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl337,zip_derived_cl132]) ).

thf(zip_derived_cl349,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl347]) ).

thf(zip_derived_cl338_062,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl132]) ).

thf(zip_derived_cl356,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl349,zip_derived_cl338]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i] :
      ( ~ ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl356]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ bad )
      | ~ ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl358]) ).

thf(zip_derived_cl338_063,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl132]) ).

thf(zip_derived_cl365,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference(clc,[status(thm)],[zip_derived_cl360,zip_derived_cl338]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i] :
      ( ( outputs @ sk__1 @ bad )
      | ~ ( program @ ( sk__5 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl365]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( program @ ( sk__5 @ sk__1 ) )
      | ( outputs @ sk__1 @ bad ) ),
    inference(simplify,[status(thm)],[zip_derived_cl366]) ).

thf(zip_derived_cl372,plain,
    ( ( outputs @ sk__1 @ bad )
    | ~ ( program @ ( sk__5 @ sk__1 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl368]) ).

thf(zip_derived_cl375,plain,
    ( ~ ( zip_tseitin_9 @ ( sk__7 @ sk__1 ) @ ( sk__6 @ sk__1 ) @ sk__1 )
    | ( outputs @ sk__1 @ bad ) ),
    inference(clc,[status(thm)],[zip_derived_cl355,zip_derived_cl372]) ).

thf(zip_derived_cl377,plain,
    ( ~ ( halts2 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
    | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl375]) ).

thf(zip_derived_cl385,plain,
    ( ( outputs @ sk__1 @ bad )
    | ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ bad ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl134,zip_derived_cl377]) ).

thf(zip_derived_cl387,plain,
    ( ~ ( program @ ( sk__6 @ sk__1 ) )
    | ( outputs @ sk__1 @ bad ) ),
    inference(simplify,[status(thm)],[zip_derived_cl385]) ).

thf(zip_derived_cl344_064,plain,
    ( ( outputs @ sk__1 @ bad )
    | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl343]) ).

thf(zip_derived_cl388,plain,
    outputs @ sk__1 @ bad,
    inference(clc,[status(thm)],[zip_derived_cl387,zip_derived_cl344]) ).

thf(zip_derived_cl174_065,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( program @ X0 )
      | ( halts2 @ ( sk__5 @ X0 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( outputs @ X0 @ bad )
      | ( program @ ( sk__6 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl69,zip_derived_cl36]) ).

thf(zip_derived_cl393,plain,
    ! [X0: $i] :
      ( ~ ( program @ sk__1 )
      | ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl174]) ).

thf(zip_derived_cl112_066,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i] :
      ( ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ( program @ ( sk__6 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl112]) ).

thf(zip_derived_cl132_067,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl327_068,plain,
    outputs @ sk__1 @ good,
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl264]) ).

thf(zip_derived_cl16_069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_7 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ good ) ),
    inference(cnf,[status(esa)],[zf_stmt_17]) ).

thf(zip_derived_cl53_070,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_7 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( outputs @ X1 @ bad ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl40,zip_derived_cl46]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( outputs @ X0 @ good )
      | ~ ( halts3 @ X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ( halts2 @ ( sk__5 @ X0 ) @ X1 )
      | ~ ( program @ X0 )
      | ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl53]) ).

thf(zip_derived_cl148_071,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ X1 ) @ ( sk__6 @ X1 ) @ X1 )
      | ~ ( program @ X1 )
      | ~ ( halts2 @ ( sk__5 @ X1 ) @ X0 )
      | ~ ( halts3 @ X1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ X1 @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
      | ~ ( outputs @ X1 @ good ) ),
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( zip_tseitin_9 @ ( sk__7 @ X0 ) @ ( sk__6 @ X0 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( program @ X1 )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( outputs @ X0 @ good ) ),
    inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl148]) ).

thf(zip_derived_cl20_072,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_9 @ X0 @ X1 @ X2 )
      | ~ ( halts3 @ X2 @ X1 @ X0 )
      | ~ ( outputs @ X2 @ bad ) ),
    inference(cnf,[status(esa)],[zf_stmt_15]) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( outputs @ X0 @ good )
      | ~ ( halts3 @ X0 @ ( sk__6 @ X0 ) @ ( sk__7 @ X0 ) )
      | ~ ( outputs @ X0 @ bad )
      | ~ ( halts3 @ X0 @ X1 @ X1 )
      | ~ ( program @ X1 )
      | ~ ( program @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl155,zip_derived_cl20]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( outputs @ sk__1 @ bad )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 )
      | ~ ( program @ sk__1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl156]) ).

thf(zip_derived_cl112_073,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i] :
      ( ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) )
      | ~ ( outputs @ sk__1 @ bad )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl329,zip_derived_cl112]) ).

thf(zip_derived_cl132_074,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( outputs @ sk__1 @ bad )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl334,zip_derived_cl132]) ).

thf(zip_derived_cl388_075,plain,
    outputs @ sk__1 @ bad,
    inference(clc,[status(thm)],[zip_derived_cl387,zip_derived_cl344]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ ( sk__6 @ sk__1 ) @ ( sk__7 @ sk__1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl346,zip_derived_cl388]) ).

thf(zip_derived_cl403,plain,
    ! [X0: $i] :
      ( ~ ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl132,zip_derived_cl389]) ).

thf(zip_derived_cl405,plain,
    ~ ( program @ ( sk__6 @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl403]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i] :
      ( ( halts2 @ ( sk__5 @ sk__1 ) @ X0 )
      | ~ ( program @ X0 )
      | ~ ( halts3 @ sk__1 @ X0 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl398,zip_derived_cl405]) ).

thf(zip_derived_cl338_076,plain,
    ! [X0: $i] :
      ( ( program @ ( sk__6 @ sk__1 ) )
      | ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl132]) ).

thf(zip_derived_cl405_077,plain,
    ~ ( program @ ( sk__6 @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl403]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i] :
      ( ~ ( program @ X0 )
      | ~ ( halts2 @ ( sk__5 @ sk__1 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl338,zip_derived_cl405]) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i] :
      ( ~ ( halts3 @ sk__1 @ X0 @ X0 )
      | ~ ( program @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl412,zip_derived_cl406]) ).

thf(zip_derived_cl132_078,plain,
    ! [X0: $i,X1: $i] :
      ( ( halts3 @ sk__1 @ X0 @ X1 )
      | ~ ( program @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl130]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i] :
      ~ ( program @ X0 ),
    inference(clc,[status(thm)],[zip_derived_cl413,zip_derived_cl132]) ).

thf(zip_derived_cl112_079,plain,
    program @ sk__1,
    inference(clc,[status(thm)],[zip_derived_cl111,zip_derived_cl51]) ).

thf(zip_derived_cl417,plain,
    $false,
    inference('s_sup+',[status(thm)],[zip_derived_cl414,zip_derived_cl112]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COM003+3 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MbVc4iDhjJ true
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 12:45:11 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.53/0.67  % Total configuration time : 435
% 0.53/0.67  % Estimated wc time : 1092
% 0.53/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.87  % Solved by fo/fo6_bce.sh.
% 0.56/0.87  % BCE start: 31
% 0.56/0.87  % BCE eliminated: 0
% 0.56/0.87  % PE start: 31
% 0.56/0.87  logic: neq
% 0.56/0.87  % PE eliminated: 5
% 0.56/0.87  % done 118 iterations in 0.112s
% 0.56/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.87  % SZS output start Refutation
% See solution above
% 0.56/0.88  
% 0.56/0.88  
% 0.56/0.88  % Terminating...
% 0.57/0.96  % Runner terminated.
% 1.54/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------