TSTP Solution File: SYN036+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN036+1 : 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.M5RnXoV9XQ true

% Computer : n023.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 04:01:11 EDT 2023

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  196 (  14 unt;  26 typ;   0 def)
%            Number of atoms       :  491 (   0 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  820 ( 170   ~; 300   |;   0   &; 329   @)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  20 usr;  13 con; 0-2 aty)
%            Number of variables   :  180 (   0   ^; 172   !;   8   ?; 180   :)

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

thf(sk__14_type,type,
    sk__14: $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__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__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_q @ W ) ) )
  <=> ( ? [X1: $i] :
        ! [Y1: $i] :
          ( ( big_q @ X1 )
        <=> ( big_q @ Y1 ) )
    <=> ( ? [U1: $i] : ( big_p @ U1 )
      <=> ! [W1: $i] : ( big_p @ W1 ) ) ) ) ).

thf(zf_stmt_0,axiom,
    ! [Y: $i,X: $i] :
      ( ( zip_tseitin_0 @ Y @ X )
    <=> ( ( big_p @ X )
      <=> ( big_p @ Y ) ) ) ).

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_0]) ).

thf(zf_stmt_1,axiom,
    ( zip_tseitin_2
  <=> ( ? [X: $i] :
        ! [Y: $i] : ( zip_tseitin_0 @ Y @ X )
    <=> zip_tseitin_1 ) ) ).

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_1]) ).

thf(zf_stmt_2,type,
    zip_tseitin_5: $o ).

thf(zf_stmt_3,axiom,
    ( zip_tseitin_5
  <=> ( ? [X1: $i] :
        ! [Y1: $i] : ( zip_tseitin_3 @ Y1 @ X1 )
    <=> zip_tseitin_4 ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_4: $o ).

thf(zf_stmt_5,axiom,
    ( zip_tseitin_4
  <=> ( ? [U1: $i] : ( big_p @ U1 )
    <=> ! [W1: $i] : ( big_p @ W1 ) ) ) ).

thf(zf_stmt_6,type,
    zip_tseitin_3: $i > $i > $o ).

thf(zf_stmt_7,axiom,
    ! [Y1: $i,X1: $i] :
      ( ( zip_tseitin_3 @ Y1 @ X1 )
    <=> ( ( big_q @ X1 )
      <=> ( big_q @ Y1 ) ) ) ).

thf(zf_stmt_8,type,
    zip_tseitin_2: $o ).

thf(zf_stmt_9,type,
    zip_tseitin_1: $o ).

thf(zf_stmt_10,axiom,
    ( zip_tseitin_1
  <=> ( ? [U: $i] : ( big_q @ U )
    <=> ! [W: $i] : ( big_q @ W ) ) ) ).

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_cl25,plain,
    ( ~ zip_tseitin_5
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
      | ~ zip_tseitin_1
      | ~ zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl25]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ ( sk__4 @ X0 ) )
      | ~ zip_tseitin_5
      | ~ zip_tseitin_1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl36]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_q @ X0 )
      | ( big_q @ sk__1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl194,plain,
    ( zip_tseitin_1
    | ( big_q @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

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_3]) ).

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_7]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | zip_tseitin_5
      | ( big_q @ sk__13 )
      | ~ ( big_q @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl12]) ).

thf(zip_derived_cl23_001,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | zip_tseitin_4
      | ( zip_tseitin_3 @ X0 @ sk__13 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

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_7]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | zip_tseitin_5
      | ( big_q @ X0 )
      | ~ ( big_q @ sk__13 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl23,zip_derived_cl13]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | zip_tseitin_5
      | zip_tseitin_4
      | zip_tseitin_4
      | zip_tseitin_5
      | ( big_q @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl51]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_q @ X1 )
      | zip_tseitin_4
      | zip_tseitin_5
      | ~ ( big_q @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl200]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( big_q @ sk_ )
      | ~ ( big_q @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl192,plain,
    ( zip_tseitin_1
    | ~ ( big_q @ sk_ ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl211,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | zip_tseitin_5
      | zip_tseitin_4
      | zip_tseitin_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl208,zip_derived_cl192]) ).

thf(zip_derived_cl194_002,plain,
    ( zip_tseitin_1
    | ( big_q @ sk__1 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl223,plain,
    ( zip_tseitin_1
    | zip_tseitin_4
    | zip_tseitin_5
    | zip_tseitin_1 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl211,zip_derived_cl194]) ).

thf(zip_derived_cl229,plain,
    ( zip_tseitin_5
    | zip_tseitin_4
    | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl223]) ).

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_1]) ).

thf(zip_derived_cl25_003,plain,
    ( ~ zip_tseitin_5
    | ~ zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 @ sk__5 )
      | zip_tseitin_1
      | ~ zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl25]) ).

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_0]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_5
      | zip_tseitin_1
      | ( big_p @ sk__5 )
      | ~ ( big_p @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl0]) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | zip_tseitin_4
      | zip_tseitin_1
      | ( big_p @ sk__5 )
      | ~ ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl40]) ).

thf(zip_derived_cl238,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ sk__5 )
      | zip_tseitin_4
      | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl230]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ sk__5 )
      | ~ ( big_p @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl238,zip_derived_cl17]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ( big_p @ X0 )
      | ( big_p @ sk__9 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl195,plain,
    ( zip_tseitin_4
    | ( big_p @ sk__9 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl249,plain,
    ( ( big_p @ sk__5 )
    | zip_tseitin_1
    | zip_tseitin_4 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl244,zip_derived_cl195]) ).

thf(zip_derived_cl229_004,plain,
    ( zip_tseitin_5
    | zip_tseitin_4
    | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl37_005,plain,
    ! [X0: $i] :
      ( ( zip_tseitin_0 @ X0 @ sk__5 )
      | zip_tseitin_1
      | ~ zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl25]) ).

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_0]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_5
      | zip_tseitin_1
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl37,zip_derived_cl1]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | zip_tseitin_4
      | zip_tseitin_1
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl229,zip_derived_cl41]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ sk__5 )
      | ( big_p @ X0 )
      | zip_tseitin_4
      | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl231]) ).

thf(zip_derived_cl17_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl17]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | zip_tseitin_1
      | zip_tseitin_1
      | ( big_p @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl249,zip_derived_cl242]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | zip_tseitin_1
      | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl263]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ~ ( big_p @ sk__8 )
      | ~ ( big_p @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl193,plain,
    ( zip_tseitin_4
    | ~ ( big_p @ sk__8 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl269,plain,
    ( zip_tseitin_4
    | zip_tseitin_1
    | zip_tseitin_4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl193]) ).

thf(zip_derived_cl273,plain,
    ( zip_tseitin_1
    | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl3_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ( big_p @ X0 )
      | ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

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_1]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | zip_tseitin_1
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ ( sk__7 @ X0 ) )
      | zip_tseitin_1
      | zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl3,zip_derived_cl39]) ).

thf(zip_derived_cl244_008,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ sk__5 )
      | ~ ( big_p @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl238,zip_derived_cl17]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | zip_tseitin_1
      | ( big_p @ X0 )
      | zip_tseitin_1
      | ( big_p @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl244]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i] :
      ( ( big_p @ sk__5 )
      | ( big_p @ X0 )
      | zip_tseitin_1
      | zip_tseitin_5 ),
    inference(simplify,[status(thm)],[zip_derived_cl252]) ).

thf(zip_derived_cl298,plain,
    ( ( big_p @ sk__5 )
    | zip_tseitin_5
    | zip_tseitin_1 ),
    inference(condensation,[status(thm)],[zip_derived_cl257]) ).

thf(zip_derived_cl244_009,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ sk__5 )
      | ~ ( big_p @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl238,zip_derived_cl17]) ).

thf(zip_derived_cl242_010,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__5 ) ),
    inference(clc,[status(thm)],[zip_derived_cl239,zip_derived_cl17]) ).

thf(zip_derived_cl246,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | zip_tseitin_1
      | zip_tseitin_1
      | ( big_p @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl244,zip_derived_cl242]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X1 )
      | zip_tseitin_1
      | ~ ( big_p @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | zip_tseitin_5
      | ( big_p @ X0 )
      | zip_tseitin_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl298,zip_derived_cl259]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | zip_tseitin_5
      | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl299]) ).

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_0]) ).

thf(zip_derived_cl39_011,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | zip_tseitin_1
      | ~ ( zip_tseitin_0 @ ( sk__7 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl9]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_p @ ( sk__7 @ X0 ) )
      | zip_tseitin_1
      | zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl39]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | zip_tseitin_5
      | ~ ( big_p @ X0 )
      | zip_tseitin_1
      | zip_tseitin_5 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl300,zip_derived_cl45]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | zip_tseitin_5
      | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl308]) ).

thf(zip_derived_cl300_012,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | zip_tseitin_5
      | zip_tseitin_1 ),
    inference(simplify,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl313,plain,
    ( zip_tseitin_1
    | zip_tseitin_5 ),
    inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl300]) ).

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_3]) ).

thf(zip_derived_cl12_013,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_5
      | ~ zip_tseitin_4
      | ( big_q @ sk__14 )
      | ~ ( big_q @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl12]) ).

thf(zip_derived_cl316,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ zip_tseitin_4
      | ( big_q @ sk__14 )
      | ~ ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl48]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ sk__14 )
      | ~ zip_tseitin_4 ),
    inference(clc,[status(thm)],[zip_derived_cl316,zip_derived_cl5]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( big_q @ X0 )
      | ( big_q @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl332]) ).

thf(zip_derived_cl5_014,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl334,plain,
    ! [X0: $i] :
      ( ( big_q @ sk__14 )
      | ~ ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl333,zip_derived_cl5]) ).

thf(zip_derived_cl273_015,plain,
    ( zip_tseitin_1
    | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl269]) ).

thf(zip_derived_cl313_016,plain,
    ( zip_tseitin_1
    | zip_tseitin_5 ),
    inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl300]) ).

thf(zip_derived_cl20_017,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_4
      | ( zip_tseitin_3 @ X0 @ sk__14 )
      | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl13_018,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ ( zip_tseitin_3 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_5
      | ~ zip_tseitin_4
      | ( big_q @ X0 )
      | ~ ( big_q @ sk__14 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl20,zip_derived_cl13]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ zip_tseitin_4
      | ( big_q @ X0 )
      | ~ ( big_q @ sk__14 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl49]) ).

thf(zip_derived_cl5_019,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl325,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ sk__14 )
      | ( big_q @ X0 )
      | ~ zip_tseitin_4 ),
    inference(clc,[status(thm)],[zip_derived_cl317,zip_derived_cl5]) ).

thf(zip_derived_cl326,plain,
    ! [X0: $i] :
      ( zip_tseitin_1
      | ~ ( big_q @ sk__14 )
      | ( big_q @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl325]) ).

thf(zip_derived_cl5_020,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 )
      | ~ zip_tseitin_1 ),
    inference(cnf,[status(esa)],[zf_stmt_10]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 )
      | ~ ( big_q @ sk__14 ) ),
    inference(clc,[status(thm)],[zip_derived_cl326,zip_derived_cl5]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl329]) ).

thf(zip_derived_cl192_021,plain,
    ( zip_tseitin_1
    | ~ ( big_q @ sk_ ) ),
    inference(condensation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl355,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | zip_tseitin_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl192]) ).

thf(zip_derived_cl363,plain,
    ( zip_tseitin_1
    | zip_tseitin_1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl355]) ).

thf(zip_derived_cl364,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl363]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ ( sk__4 @ X0 ) )
      | ~ zip_tseitin_5 ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl364]) ).

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_7]) ).

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_3]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 )
      | ( big_q @ ( sk__12 @ X0 ) )
      | ~ zip_tseitin_4
      | zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).

thf(zip_derived_cl24_022,plain,
    ( zip_tseitin_5
    | zip_tseitin_2 ),
    inference(cnf,[status(esa)],[zf_stmt_13]) ).

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_1]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( zip_tseitin_0 @ X0 @ sk__6 )
      | ~ zip_tseitin_1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl0_023,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_1
      | zip_tseitin_5
      | ( big_p @ sk__6 )
      | ~ ( big_p @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).

thf(zip_derived_cl364_024,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl363]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( big_p @ sk__6 )
      | ~ ( big_p @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl364]) ).

thf(zip_derived_cl38_025,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( zip_tseitin_0 @ X0 @ sk__6 )
      | ~ zip_tseitin_1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl24,zip_derived_cl8]) ).

thf(zip_derived_cl1_026,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ~ zip_tseitin_1
      | zip_tseitin_5
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__6 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl38,zip_derived_cl1]) ).

thf(zip_derived_cl364_027,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl363]) ).

thf(zip_derived_cl367,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( big_p @ X0 )
      | ~ ( big_p @ sk__6 ) ),
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl364]) ).

thf(zip_derived_cl376,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | zip_tseitin_5
      | zip_tseitin_5
      | ( big_p @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl367]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i,X1: $i] :
      ( ( big_p @ X1 )
      | zip_tseitin_5
      | ~ ( big_p @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl376]) ).

thf(zip_derived_cl195_028,plain,
    ( zip_tseitin_4
    | ( big_p @ sk__9 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl391,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( big_p @ X0 )
      | zip_tseitin_4 ),
    inference('s_sup+',[status(thm)],[zip_derived_cl386,zip_derived_cl195]) ).

thf(zip_derived_cl193_029,plain,
    ( zip_tseitin_4
    | ~ ( big_p @ sk__8 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl403,plain,
    ( zip_tseitin_4
    | zip_tseitin_5
    | zip_tseitin_4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl193]) ).

thf(zip_derived_cl405,plain,
    ( zip_tseitin_5
    | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl403]) ).

thf(zip_derived_cl15_030,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

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_3]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 )
      | ( big_q @ ( sk__15 @ X0 ) )
      | ~ zip_tseitin_5
      | zip_tseitin_4 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).

thf(zip_derived_cl407,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ( big_q @ X0 )
      | ( big_q @ ( sk__15 @ X0 ) )
      | zip_tseitin_4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl54]) ).

thf(zip_derived_cl411,plain,
    ! [X0: $i] :
      ( ( big_q @ ( sk__15 @ X0 ) )
      | ( big_q @ X0 )
      | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl407]) ).

thf(zip_derived_cl405_031,plain,
    ( zip_tseitin_5
    | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl403]) ).

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_7]) ).

thf(zip_derived_cl21_032,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_3 @ ( sk__15 @ X0 ) @ X0 )
      | zip_tseitin_4
      | ~ zip_tseitin_5 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | ~ ( big_q @ ( sk__15 @ X0 ) )
      | ~ zip_tseitin_5
      | zip_tseitin_4 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl21]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ~ ( big_q @ X0 )
      | ~ ( big_q @ ( sk__15 @ X0 ) )
      | zip_tseitin_4 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl405,zip_derived_cl52]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ ( sk__15 @ X0 ) )
      | ~ ( big_q @ X0 )
      | zip_tseitin_4 ),
    inference(simplify,[status(thm)],[zip_derived_cl406]) ).

thf(zip_derived_cl337_033,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl329]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ~ ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl410,zip_derived_cl337]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl411,zip_derived_cl414]) ).

thf(zip_derived_cl414_034,plain,
    ! [X0: $i] :
      ( zip_tseitin_4
      | ~ ( big_q @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl410,zip_derived_cl337]) ).

thf(zip_derived_cl429,plain,
    zip_tseitin_4,
    inference(clc,[status(thm)],[zip_derived_cl428,zip_derived_cl414]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i] :
      ( ( big_q @ X0 )
      | ( big_q @ ( sk__12 @ X0 ) )
      | zip_tseitin_5 ),
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl429]) ).

thf(zip_derived_cl337_035,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl329]) ).

thf(zip_derived_cl442,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ( big_q @ ( sk__12 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl337]) ).

thf(zip_derived_cl14_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_3 @ X0 @ X1 )
      | ~ ( big_q @ X0 )
      | ~ ( big_q @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl22_037,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ~ zip_tseitin_4
      | ~ ( zip_tseitin_3 @ ( sk__12 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | ~ ( big_q @ ( sk__12 @ X0 ) )
      | ~ zip_tseitin_4
      | zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl22]) ).

thf(zip_derived_cl429_038,plain,
    zip_tseitin_4,
    inference(clc,[status(thm)],[zip_derived_cl428,zip_derived_cl414]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i] :
      ( ~ ( big_q @ X0 )
      | ~ ( big_q @ ( sk__12 @ X0 ) )
      | zip_tseitin_5 ),
    inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl429]) ).

thf(zip_derived_cl337_039,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_q @ X0 )
      | ( big_q @ X1 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl334,zip_derived_cl329]) ).

thf(zip_derived_cl438,plain,
    ! [X0: $i] :
      ( zip_tseitin_5
      | ~ ( big_q @ ( sk__12 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl431,zip_derived_cl337]) ).

thf(zip_derived_cl443,plain,
    zip_tseitin_5,
    inference(clc,[status(thm)],[zip_derived_cl442,zip_derived_cl438]) ).

thf(zip_derived_cl445,plain,
    ! [X0: $i] :
      ( ( big_p @ X0 )
      | ( big_p @ ( sk__4 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl369,zip_derived_cl443]) ).

thf(zip_derived_cl17_040,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 )
      | ~ zip_tseitin_4 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl429_041,plain,
    zip_tseitin_4,
    inference(clc,[status(thm)],[zip_derived_cl428,zip_derived_cl414]) ).

thf(zip_derived_cl430,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl429]) ).

thf(zip_derived_cl2_042,plain,
    ! [X0: $i,X1: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 )
      | ~ ( big_p @ X0 )
      | ~ ( big_p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36_043,plain,
    ! [X0: $i] :
      ( ~ ( zip_tseitin_0 @ ( sk__4 @ X0 ) @ X0 )
      | ~ zip_tseitin_1
      | ~ zip_tseitin_5 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl25]) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_p @ ( sk__4 @ X0 ) )
      | ~ zip_tseitin_5
      | ~ zip_tseitin_1 ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl2,zip_derived_cl36]) ).

thf(zip_derived_cl364_044,plain,
    zip_tseitin_1,
    inference(simplify,[status(thm)],[zip_derived_cl363]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_p @ ( sk__4 @ X0 ) )
      | ~ zip_tseitin_5 ),
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl364]) ).

thf(zip_derived_cl443_045,plain,
    zip_tseitin_5,
    inference(clc,[status(thm)],[zip_derived_cl442,zip_derived_cl438]) ).

thf(zip_derived_cl444,plain,
    ! [X0: $i] :
      ( ~ ( big_p @ X0 )
      | ~ ( big_p @ ( sk__4 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl368,zip_derived_cl443]) ).

thf(zip_derived_cl430_046,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( big_p @ X0 )
      | ( big_p @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl429]) ).

thf(zip_derived_cl446,plain,
    ! [X0: $i] :
      ~ ( big_p @ ( sk__4 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl444,zip_derived_cl430]) ).

thf(zip_derived_cl447,plain,
    ! [X1: $i] :
      ~ ( big_p @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl446]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i] : ( big_p @ ( sk__4 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl445,zip_derived_cl447]) ).

thf(zip_derived_cl447_047,plain,
    ! [X1: $i] :
      ~ ( big_p @ X1 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl430,zip_derived_cl446]) ).

thf(zip_derived_cl449,plain,
    $false,
    inference('s_sup-',[status(thm)],[zip_derived_cl448,zip_derived_cl447]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN036+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M5RnXoV9XQ true
% 0.14/0.35  % Computer : n023.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 : Sat Aug 26 17:08:11 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
% 0.14/0.36  % Running in FO mode
% 0.56/0.64  % Total configuration time : 435
% 0.56/0.64  % Estimated wc time : 1092
% 0.56/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75  % Solved by fo/fo6_bce.sh.
% 0.56/0.75  % BCE start: 26
% 0.56/0.75  % BCE eliminated: 0
% 0.56/0.75  % PE start: 26
% 0.56/0.75  logic: neq
% 0.56/0.75  % PE eliminated: 2
% 0.56/0.75  % done 113 iterations in 0.036s
% 0.56/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75  % SZS output start Refutation
% See solution above
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  % Terminating...
% 1.55/300.10  Alarm clock
% 1.55/300.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------