TSTP Solution File: SYN036+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN036+2 : 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.W6sq1KZHom true

% Computer : n029.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 04:01:12 EDT 2023

% Result   : Theorem 0.23s 0.80s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  194 (   1 unt;  30 typ;   0 def)
%            Number of atoms       :  420 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives : 1008 ( 235   ~; 151   |;   8   &; 517   @)
%                                         (  21 <=>;   0  =>;  76  <=;   0 <~>)
%            Maximal formula depth :    8 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  24 usr;  17 con; 0-2 aty)
%            Number of variables   :  270 (   0   ^; 262   !;   8   ?; 270   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $o ).

thf(sk__10_type,type,
    sk__10: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(big_q_type,type,
    big_q: $i > $o ).

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

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

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

thf(big_p_type,type,
    big_p: $i > $o ).

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

thf(sk__13_type,type,
    sk__13: $i ).

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__15_type,type,
    sk__15: $i > $i ).

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

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

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

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

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

thf(sk__12_type,type,
    sk__12: $i > $i ).

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

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

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

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

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

thf(pel34,conjecture,
    ( ( ? [X: $i] :
        ! [Y: $i] :
          ( ( big_p @ X )
        <=> ( big_p @ Y ) )
    <=> ( ? [U: $i] : ( big_q @ U )
      <=> ! [W: $i] : ( big_p @ W ) ) )
  <=> ( ? [X1: $i] :
        ! [Y1: $i] :
          ( ( big_q @ X1 )
        <=> ( big_q @ Y1 ) )
    <=> ( ? [U1: $i] : ( big_p @ U1 )
      <=> ! [W1: $i] : ( big_q @ W1 ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Y1: $i,X1: $i] :
      ( ( zip_tseitin_3 @ Y1 @ X1 )
    <=> ( ( big_q @ X1 )
      <=> ( big_q @ Y1 ) ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zf_stmt_1,axiom,
    ( zip_tseitin_5
  <=> ( ? [X1: $i] :
        ! [Y1: $i] : ( zip_tseitin_3 @ Y1 @ X1 )
    <=> zip_tseitin_4 ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ~ zip_tseitin_4
      | ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl68,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl145,plain,
    ( ! [X0: $i] :
        ( ( big_q @ X0 )
        | ( big_q @ ( sk__12 @ X0 ) ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl68]) ).

thf(zf_stmt_2,axiom,
    ( zip_tseitin_1
  <=> ( ? [U: $i] : ( big_q @ U )
    <=> ! [W: $i] : ( big_p @ W ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_p @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl30,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl201,plain,
    ( ! [X0: $i] : ( big_q @ X0 )
   <= ( ! [X0: $i] :
          ~ ( big_q @ X0 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl145,zip_derived_cl30]) ).

thf(zip_derived_cl30_001,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('0',plain,
    ( ~ ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 )
    | ~ ! [X0: $i] :
          ~ ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl201,zip_derived_cl30]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_4
      | ( zip_tseitin_3 @ X0 @ sk__14 )
      | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl62,plain,
    ( ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl167,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ X0 )
        | ( big_q @ sk__14 ) )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl12]) ).

thf('1',plain,
    ( ~ ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 )
    | ! [X0: $i] :
        ~ ( big_q @ X0 )
    | ( big_q @ sk__14 ) ),
    inference(split,[status(esa)],[zip_derived_cl167]) ).

thf(zip_derived_cl62_002,plain,
    ( ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 ) ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl168,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ sk__14 )
        | ( big_q @ X0 ) )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl62,zip_derived_cl13]) ).

thf('2',plain,
    ( ~ ( big_q @ sk__14 )
    | ~ ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 )
    | ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl168]) ).

thf('3',plain,
    ( ~ zip_tseitin_4
    | ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__14 )
    | ~ zip_tseitin_5 ),
    inference(split,[status(esa)],[zip_derived_cl20]) ).

thf(zf_stmt_3,axiom,
    ( zip_tseitin_4
  <=> ( ? [U1: $i] : ( big_p @ U1 )
    <=> ! [W1: $i] : ( big_q @ W1 ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ( big_q @ X0 )
      | ( big_p @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf('4',plain,
    ( ( big_p @ sk__9 )
    | zip_tseitin_4
    | ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl16,plain,
    ( ~ ( big_q @ sk__11 )
    | ( big_p @ sk__10 )
    | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl51,plain,
    ( ( big_p @ sk__10 )
   <= ( big_p @ sk__10 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_q @ X1 )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl54,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('5',plain,
    ( ~ ( big_p @ sk__10 )
    | ~ ! [X0: $i] :
          ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl54]) ).

thf(zf_stmt_4,axiom,
    ( zip_tseitin_2
  <=> ( ? [X: $i] :
        ! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
    <=> zip_tseitin_1 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( zip_tseitin_2
      | zip_tseitin_1
      | ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl47,plain,
    ( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zf_stmt_5,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_0 @ Y @ X )
    <=> ( ( big_p @ X )
      <=> ( big_p @ Y ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl160,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ sk__5 )
        | ( big_p @ X0 ) )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl1]) ).

thf('6',plain,
    ( ~ ( big_p @ sk__5 )
    | ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 )
    | ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl160]) ).

thf('7',plain,
    ( ~ ( big_q @ sk__11 )
    | ~ zip_tseitin_4
    | ( big_p @ sk__10 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf('8',plain,
    ( zip_tseitin_1
    | zip_tseitin_2
    | ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl47_003,plain,
    ( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference(split,[status(esa)],[zip_derived_cl11]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl159,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ X0 )
        | ( big_p @ sk__5 ) )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl0]) ).

thf('9',plain,
    ( ( big_p @ sk__5 )
    | ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__5 )
    | ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl159]) ).

thf('10',plain,
    ( ~ zip_tseitin_4
    | ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 )
    | zip_tseitin_5 ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( zip_tseitin_2
      | ~ zip_tseitin_1
      | ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('11',plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
    | zip_tseitin_2
    | ~ zip_tseitin_1 ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( big_p @ sk_ )
      | ~ ( big_q @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf('12',plain,
    ( ~ ( big_p @ sk_ )
    | ! [X0: $i] :
        ~ ( big_q @ X0 )
    | zip_tseitin_1 ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf(zip_derived_cl15_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
      | zip_tseitin_4
      | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl65,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl146,plain,
    ( ! [X0: $i] :
        ( ( big_q @ X0 )
        | ( big_q @ ( sk__15 @ X0 ) ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl65]) ).

thf(zip_derived_cl30_005,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl203,plain,
    ( ! [X0: $i] : ( big_q @ X0 )
   <= ( ! [X0: $i] :
          ~ ( big_q @ X0 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl30]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ~ ( big_q @ sk__8 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl57,plain,
    ( ~ ( big_q @ sk__8 )
   <= ~ ( big_q @ sk__8 ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('13',plain,
    ( ~ ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
    | ~ ! [X0: $i] :
          ~ ( big_q @ X0 )
    | ( big_q @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl203,zip_derived_cl57]) ).

thf(zf_stmt_6,type,
    zip_tseitin_5: $o ).

thf(zf_stmt_7,type,
    zip_tseitin_4: $o ).

thf(zf_stmt_8,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_9,type,
    zip_tseitin_2: $o ).

thf(zf_stmt_10,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_11,type,
    zip_tseitin_0: $i > $i > $o ).

thf(zf_stmt_12,conjecture,
    ( zip_tseitin_2
  <=> zip_tseitin_5 ) ).

thf(zf_stmt_13,negated_conjecture,
    ~ ( zip_tseitin_2
    <=> zip_tseitin_5 ),
    inference('cnf.neg',[status(esa)],[zf_stmt_12]) ).

thf(zip_derived_cl24,plain,
    ( zip_tseitin_5
    | zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('14',plain,
    ( zip_tseitin_2
    | zip_tseitin_5 ),
    inference(split,[status(esa)],[zip_derived_cl24]) ).

thf('15',plain,
    ( ~ ( big_q @ sk__8 )
    | zip_tseitin_4
    | ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
      | zip_tseitin_1
      | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('16',plain,
    ( zip_tseitin_1
    | ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
    | ~ zip_tseitin_2 ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl4,plain,
    ( ~ ( big_p @ sk__3 )
    | ( big_q @ sk__2 )
    | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf('17',plain,
    ( ~ ( big_p @ sk__3 )
    | ~ zip_tseitin_1
    | ( big_q @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl27,plain,
    ( ( big_q @ sk__2 )
   <= ( big_q @ sk__2 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf(zip_derived_cl30_006,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('18',plain,
    ( ~ ( big_q @ sk__2 )
    | ~ ! [X0: $i] :
          ~ ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl30]) ).

thf('19',plain,
    ( ~ zip_tseitin_5
    | ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
    | zip_tseitin_4 ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl44,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl94,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ ( sk__4 @ X0 ) )
        | ~ ( big_p @ X0 ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl2]) ).

thf(zip_derived_cl115,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ( ! [X1: $i] : ( big_p @ X1 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl94]) ).

thf(zip_derived_cl29_007,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('20',plain,
    ( ~ ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
    | ~ ! [X1: $i] : ( big_p @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl29]) ).

thf(zip_derived_cl41,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl2_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl83,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ ( sk__7 @ X0 ) )
        | ~ ( big_p @ X0 ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl2]) ).

thf(zip_derived_cl29_009,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl106,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ( ! [X1: $i] : ( big_p @ X1 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl29]) ).

thf(zip_derived_cl29_010,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('21',plain,
    ( ~ ! [X1: $i] : ( big_p @ X1 )
    | ~ ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl29]) ).

thf(zip_derived_cl29_011,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( big_p @ sk__3 )
   <= ~ ( big_p @ sk__3 ) ),
    inference(split,[status(esa)],[zip_derived_cl4]) ).

thf('22',plain,
    ( ~ ! [X1: $i] : ( big_p @ X1 )
    | ( big_p @ sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl28]) ).

thf(zip_derived_cl29_012,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl33,plain,
    ( ~ ( big_p @ sk_ )
   <= ~ ( big_p @ sk_ ) ),
    inference(split,[status(esa)],[zip_derived_cl6]) ).

thf('23',plain,
    ( ~ ! [X1: $i] : ( big_p @ X1 )
    | ( big_p @ sk_ ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).

thf(zip_derived_cl29_013,plain,
    ( ! [X1: $i] : ( big_p @ X1 )
   <= ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl54_014,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('24',plain,
    ( ~ ! [X1: $i] : ( big_p @ X1 )
    | ~ ! [X0: $i] :
          ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl54]) ).

thf(zip_derived_cl53,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ~ ( big_q @ X0 )
      | ~ ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65_015,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl21]) ).

thf(zip_derived_cl124,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ X0 )
        | ~ ( big_q @ ( sk__15 @ X0 ) ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl65]) ).

thf(zip_derived_cl134,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ( ! [X1: $i] : ( big_q @ X1 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl124]) ).

thf(zip_derived_cl53_016,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('25',plain,
    ( ~ ! [X1: $i] : ( big_q @ X1 )
    | ~ ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl53]) ).

thf(zip_derived_cl53_017,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl14_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ~ ( big_q @ X0 )
      | ~ ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68_019,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl22]) ).

thf(zip_derived_cl123,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ X0 )
        | ~ ( big_q @ ( sk__12 @ X0 ) ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl68]) ).

thf(zip_derived_cl130,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ( ! [X1: $i] : ( big_q @ X1 )
      & ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl123]) ).

thf(zip_derived_cl53_020,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('26',plain,
    ( ~ ! [X1: $i] : ( big_q @ X1 )
    | ~ ! [X0: $i] :
          ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl130,zip_derived_cl53]) ).

thf(zip_derived_cl53_021,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( big_q @ sk__11 )
   <= ~ ( big_q @ sk__11 ) ),
    inference(split,[status(esa)],[zip_derived_cl16]) ).

thf('27',plain,
    ( ~ ! [X1: $i] : ( big_q @ X1 )
    | ( big_q @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl52]) ).

thf(zip_derived_cl53_022,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl57_023,plain,
    ( ~ ( big_q @ sk__8 )
   <= ~ ( big_q @ sk__8 ) ),
    inference(split,[status(esa)],[zip_derived_cl18]) ).

thf('28',plain,
    ( ~ ! [X1: $i] : ( big_q @ X1 )
    | ( big_q @ sk__8 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl57]) ).

thf(zip_derived_cl53_024,plain,
    ( ! [X1: $i] : ( big_q @ X1 )
   <= ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl30_025,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('29',plain,
    ( ~ ! [X1: $i] : ( big_q @ X1 )
    | ~ ! [X0: $i] :
          ~ ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl30]) ).

thf(zip_derived_cl44_026,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl10]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( big_p @ X0 )
      | ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl95,plain,
    ( ! [X0: $i] :
        ( ( big_p @ ( sk__4 @ X0 ) )
        | ( big_p @ X0 ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl44,zip_derived_cl3]) ).

thf(zip_derived_cl54_027,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl199,plain,
    ( ! [X0: $i] : ( big_p @ X0 )
   <= ( ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
      & ! [X0: $i] :
          ~ ( big_p @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl54]) ).

thf(zip_derived_cl54_028,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('30',plain,
    ( ~ ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
    | ~ ! [X0: $i] :
          ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl199,zip_derived_cl54]) ).

thf(zip_derived_cl3_029,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( big_p @ X0 )
      | ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl41_030,plain,
    ( ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl9]) ).

thf(zip_derived_cl90,plain,
    ( ! [X0: $i] :
        ( ( big_p @ X0 )
        | ( big_p @ ( sk__7 @ X0 ) ) )
   <= ! [X0: $i] :
        ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl41]) ).

thf(zip_derived_cl54_031,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl193,plain,
    ( ! [X0: $i] : ( big_p @ X0 )
   <= ( ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
      & ! [X0: $i] :
          ~ ( big_p @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl54]) ).

thf(zip_derived_cl54_032,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('31',plain,
    ( ~ ! [X0: $i] :
          ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 )
    | ~ ! [X0: $i] :
          ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl54]) ).

thf(zip_derived_cl60,plain,
    ( ( big_p @ sk__9 )
   <= ( big_p @ sk__9 ) ),
    inference(split,[status(esa)],[zip_derived_cl19]) ).

thf(zip_derived_cl54_033,plain,
    ( ! [X0: $i] :
        ~ ( big_p @ X0 )
   <= ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf('32',plain,
    ( ~ ! [X0: $i] :
          ~ ( big_p @ X0 )
    | ~ ( big_p @ sk__9 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl60,zip_derived_cl54]) ).

thf('33',plain,
    ( ~ zip_tseitin_4
    | ! [X0: $i] :
        ~ ( big_p @ X0 )
    | ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ( ~ zip_tseitin_5
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf('34',plain,
    ( ~ zip_tseitin_5
    | ~ zip_tseitin_2 ),
    inference(split,[status(esa)],[zip_derived_cl25]) ).

thf('35',plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
    | ~ zip_tseitin_1
    | ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | zip_tseitin_4
      | ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf('36',plain,
    ( ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 )
    | zip_tseitin_5
    | zip_tseitin_4 ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl71,plain,
    ( ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl13_034,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl174,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ sk__13 )
        | ( big_q @ X0 ) )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl13]) ).

thf('37',plain,
    ( ~ ( big_q @ sk__13 )
    | ~ ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 )
    | ! [X1: $i] : ( big_q @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl174]) ).

thf(zip_derived_cl71_035,plain,
    ( ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference(split,[status(esa)],[zip_derived_cl23]) ).

thf(zip_derived_cl12_036,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl173,plain,
    ( ! [X0: $i] :
        ( ~ ( big_q @ X0 )
        | ( big_q @ sk__13 ) )
   <= ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl12]) ).

thf('38',plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
    | ( big_q @ sk__13 )
    | ~ ! [X0: $i] : ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference(split,[status(esa)],[zip_derived_cl173]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ X0 )
      | ( big_q @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl36,plain,
    ( ( big_q @ sk__1 )
   <= ( big_q @ sk__1 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl30_037,plain,
    ( ! [X0: $i] :
        ~ ( big_q @ X0 )
   <= ! [X0: $i] :
        ~ ( big_q @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl5]) ).

thf('39',plain,
    ( ~ ( big_q @ sk__1 )
    | ~ ! [X0: $i] :
          ~ ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl30]) ).

thf('40',plain,
    ( zip_tseitin_1
    | ( big_q @ sk__1 )
    | ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl7]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_1
      | ( zip_tseitin_0 @ X0 @ sk__6 )
      | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf('41',plain,
    ( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 )
    | ~ zip_tseitin_1
    | ~ zip_tseitin_2 ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl38,plain,
    ( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl0_038,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl137,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ X0 )
        | ( big_p @ sk__6 ) )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).

thf('42',plain,
    ( ( big_p @ sk__6 )
    | ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 )
    | ! [X0: $i] :
        ~ ( big_p @ X0 ) ),
    inference(split,[status(esa)],[zip_derived_cl137]) ).

thf(zip_derived_cl38_039,plain,
    ( ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 ) ),
    inference(split,[status(esa)],[zip_derived_cl8]) ).

thf(zip_derived_cl1_040,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl138,plain,
    ( ! [X0: $i] :
        ( ~ ( big_p @ sk__6 )
        | ( big_p @ X0 ) )
   <= ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl1]) ).

thf('43',plain,
    ( ~ ( big_p @ sk__6 )
    | ~ ! [X0: $i] : ( zip_tseitin_0 @ X0 @ sk__6 )
    | ! [X1: $i] : ( big_p @ X1 ) ),
    inference(split,[status(esa)],[zip_derived_cl138]) ).

thf(zip_derived_cl241,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9','10','11','12','13','14','15','16','17','18','19','20','21','22','23','24','25','26','27','28','29','30','31','32','33','34','35','36','37','38','39','40','41','42','43']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN036+2 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W6sq1KZHom true
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 19:12:40 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.36  % Number of cores: 8
% 0.16/0.36  % Python version: Python 3.6.8
% 0.16/0.37  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.80  % Solved by fo/fo1_av.sh.
% 0.23/0.80  % done 145 iterations in 0.029s
% 0.23/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.80  % SZS output start Refutation
% See solution above
% 0.23/0.80  
% 0.23/0.80  
% 0.23/0.80  % Terminating...
% 1.69/0.87  % Runner terminated.
% 1.69/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------