TSTP Solution File: LCL644+1.015 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL644+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OZvca3xGuI true

% Computer : n001.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 : Thu Aug 31 09:00:55 EDT 2023

% Result   : Theorem 25.43s 4.32s
% Output   : Refutation 25.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   23 (   3 unt;  18 typ;   0 def)
%            Number of atoms       : 1313 (   0 equ;   0 cnn)
%            Maximal formula atoms :  655 ( 262 avg)
%            Number of connectives : 3844 ( 766   ~; 884   |; 424   &;1770   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   39 (  17 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  18 usr;   2 con; 0-2 aty)
%            Number of variables   :  460 (   0   ^; 458   !;   2   ?; 460   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p14_type,type,
    p14: $i > $o ).

thf(p1_type,type,
    p1: $i > $o ).

thf(p13_type,type,
    p13: $i > $o ).

thf(p15_type,type,
    p15: $i > $o ).

thf(p7_type,type,
    p7: $i > $o ).

thf(p6_type,type,
    p6: $i > $o ).

thf(sk__72_type,type,
    sk__72: $i ).

thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p10_type,type,
    p10: $i > $o ).

thf(p9_type,type,
    p9: $i > $o ).

thf(p16_type,type,
    p16: $i > $o ).

thf(p12_type,type,
    p12: $i > $o ).

thf(p11_type,type,
    p11: $i > $o ).

thf(p2_type,type,
    p2: $i > $o ).

thf(p3_type,type,
    p3: $i > $o ).

thf(p5_type,type,
    p5: $i > $o ).

thf(p4_type,type,
    p4: $i > $o ).

thf(p8_type,type,
    p8: $i > $o ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ~ ( ! [Y: $i] :
                  ( ( p15 @ Y )
                  | ~ ( ( p16 @ Y )
                      & ! [X: $i] :
                          ( ( p16 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p15 @ Y )
                      & ! [X: $i] :
                          ( ( p15 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p15 @ Y ) )
                  | ( p16 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p15 @ Y )
                          & ! [X: $i] :
                              ( ( p15 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p15 @ Y ) )
                      | ( p16 @ Y )
                      | ! [X: $i] :
                          ( ( p15 @ X )
                          | ~ ( ( p16 @ X )
                              & ! [Y: $i] :
                                  ( ( p16 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p15 @ X )
                              & ! [Y: $i] :
                                  ( ( p15 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p15 @ X ) )
                          | ( p16 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p15 @ Y )
                      | ~ ( ( p16 @ Y )
                          & ! [X: $i] :
                              ( ( p16 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p15 @ Y )
                          & ! [X: $i] :
                              ( ( p15 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p15 @ Y ) )
                      | ( p16 @ Y )
                      | ( p15 @ Y )
                      | ~ ( ( p16 @ Y )
                          & ! [X: $i] :
                              ( ( p16 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p14 @ Y )
                  | ~ ( ( p15 @ Y )
                      & ! [X: $i] :
                          ( ( p15 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p14 @ Y )
                      & ! [X: $i] :
                          ( ( p14 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p14 @ Y ) )
                  | ( p15 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p14 @ Y )
                          & ! [X: $i] :
                              ( ( p14 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p14 @ Y ) )
                      | ( p15 @ Y )
                      | ! [X: $i] :
                          ( ( p14 @ X )
                          | ~ ( ( p15 @ X )
                              & ! [Y: $i] :
                                  ( ( p15 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p14 @ X )
                              & ! [Y: $i] :
                                  ( ( p14 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p14 @ X ) )
                          | ( p15 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p14 @ Y )
                      | ~ ( ( p15 @ Y )
                          & ! [X: $i] :
                              ( ( p15 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p14 @ Y )
                          & ! [X: $i] :
                              ( ( p14 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p14 @ Y ) )
                      | ( p15 @ Y )
                      | ( p14 @ Y )
                      | ~ ( ( p15 @ Y )
                          & ! [X: $i] :
                              ( ( p15 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p13 @ Y )
                  | ~ ( ( p14 @ Y )
                      & ! [X: $i] :
                          ( ( p14 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p13 @ Y )
                      & ! [X: $i] :
                          ( ( p13 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p13 @ Y ) )
                  | ( p14 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p13 @ Y )
                          & ! [X: $i] :
                              ( ( p13 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p13 @ Y ) )
                      | ( p14 @ Y )
                      | ! [X: $i] :
                          ( ( p13 @ X )
                          | ~ ( ( p14 @ X )
                              & ! [Y: $i] :
                                  ( ( p14 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p13 @ X )
                              & ! [Y: $i] :
                                  ( ( p13 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p13 @ X ) )
                          | ( p14 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p13 @ Y )
                      | ~ ( ( p14 @ Y )
                          & ! [X: $i] :
                              ( ( p14 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p13 @ Y )
                          & ! [X: $i] :
                              ( ( p13 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p13 @ Y ) )
                      | ( p14 @ Y )
                      | ( p13 @ Y )
                      | ~ ( ( p14 @ Y )
                          & ! [X: $i] :
                              ( ( p14 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p12 @ Y )
                  | ~ ( ( p13 @ Y )
                      & ! [X: $i] :
                          ( ( p13 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p12 @ Y )
                      & ! [X: $i] :
                          ( ( p12 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p12 @ Y ) )
                  | ( p13 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p12 @ Y )
                          & ! [X: $i] :
                              ( ( p12 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p12 @ Y ) )
                      | ( p13 @ Y )
                      | ! [X: $i] :
                          ( ( p12 @ X )
                          | ~ ( ( p13 @ X )
                              & ! [Y: $i] :
                                  ( ( p13 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p12 @ X )
                              & ! [Y: $i] :
                                  ( ( p12 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p12 @ X ) )
                          | ( p13 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p12 @ Y )
                      | ~ ( ( p13 @ Y )
                          & ! [X: $i] :
                              ( ( p13 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p12 @ Y )
                          & ! [X: $i] :
                              ( ( p12 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p12 @ Y ) )
                      | ( p13 @ Y )
                      | ( p12 @ Y )
                      | ~ ( ( p13 @ Y )
                          & ! [X: $i] :
                              ( ( p13 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p11 @ Y )
                  | ~ ( ( p12 @ Y )
                      & ! [X: $i] :
                          ( ( p12 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p11 @ Y )
                      & ! [X: $i] :
                          ( ( p11 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p11 @ Y ) )
                  | ( p12 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p11 @ Y )
                          & ! [X: $i] :
                              ( ( p11 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p11 @ Y ) )
                      | ( p12 @ Y )
                      | ! [X: $i] :
                          ( ( p11 @ X )
                          | ~ ( ( p12 @ X )
                              & ! [Y: $i] :
                                  ( ( p12 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p11 @ X )
                              & ! [Y: $i] :
                                  ( ( p11 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p11 @ X ) )
                          | ( p12 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p11 @ Y )
                      | ~ ( ( p12 @ Y )
                          & ! [X: $i] :
                              ( ( p12 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p11 @ Y )
                          & ! [X: $i] :
                              ( ( p11 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p11 @ Y ) )
                      | ( p12 @ Y )
                      | ( p11 @ Y )
                      | ~ ( ( p12 @ Y )
                          & ! [X: $i] :
                              ( ( p12 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p10 @ Y )
                  | ~ ( ( p11 @ Y )
                      & ! [X: $i] :
                          ( ( p11 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p10 @ Y )
                      & ! [X: $i] :
                          ( ( p10 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p10 @ Y ) )
                  | ( p11 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p10 @ Y )
                          & ! [X: $i] :
                              ( ( p10 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p10 @ Y ) )
                      | ( p11 @ Y )
                      | ! [X: $i] :
                          ( ( p10 @ X )
                          | ~ ( ( p11 @ X )
                              & ! [Y: $i] :
                                  ( ( p11 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p10 @ X )
                              & ! [Y: $i] :
                                  ( ( p10 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p10 @ X ) )
                          | ( p11 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p10 @ Y )
                      | ~ ( ( p11 @ Y )
                          & ! [X: $i] :
                              ( ( p11 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p10 @ Y )
                          & ! [X: $i] :
                              ( ( p10 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p10 @ Y ) )
                      | ( p11 @ Y )
                      | ( p10 @ Y )
                      | ~ ( ( p11 @ Y )
                          & ! [X: $i] :
                              ( ( p11 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p9 @ Y )
                  | ~ ( ( p10 @ Y )
                      & ! [X: $i] :
                          ( ( p10 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p9 @ Y )
                      & ! [X: $i] :
                          ( ( p9 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p9 @ Y ) )
                  | ( p10 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p9 @ Y )
                          & ! [X: $i] :
                              ( ( p9 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p9 @ Y ) )
                      | ( p10 @ Y )
                      | ! [X: $i] :
                          ( ( p9 @ X )
                          | ~ ( ( p10 @ X )
                              & ! [Y: $i] :
                                  ( ( p10 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p9 @ X )
                              & ! [Y: $i] :
                                  ( ( p9 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p9 @ X ) )
                          | ( p10 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p9 @ Y )
                      | ~ ( ( p10 @ Y )
                          & ! [X: $i] :
                              ( ( p10 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p9 @ Y )
                          & ! [X: $i] :
                              ( ( p9 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p9 @ Y ) )
                      | ( p10 @ Y )
                      | ( p9 @ Y )
                      | ~ ( ( p10 @ Y )
                          & ! [X: $i] :
                              ( ( p10 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p8 @ Y )
                  | ~ ( ( p9 @ Y )
                      & ! [X: $i] :
                          ( ( p9 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p8 @ Y )
                      & ! [X: $i] :
                          ( ( p8 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p8 @ Y ) )
                  | ( p9 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p8 @ Y )
                          & ! [X: $i] :
                              ( ( p8 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p8 @ Y ) )
                      | ( p9 @ Y )
                      | ! [X: $i] :
                          ( ( p8 @ X )
                          | ~ ( ( p9 @ X )
                              & ! [Y: $i] :
                                  ( ( p9 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p8 @ X )
                              & ! [Y: $i] :
                                  ( ( p8 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p8 @ X ) )
                          | ( p9 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p8 @ Y )
                      | ~ ( ( p9 @ Y )
                          & ! [X: $i] :
                              ( ( p9 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p8 @ Y )
                          & ! [X: $i] :
                              ( ( p8 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p8 @ Y ) )
                      | ( p9 @ Y )
                      | ( p8 @ Y )
                      | ~ ( ( p9 @ Y )
                          & ! [X: $i] :
                              ( ( p9 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p7 @ Y )
                  | ~ ( ( p8 @ Y )
                      & ! [X: $i] :
                          ( ( p8 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p7 @ Y )
                      & ! [X: $i] :
                          ( ( p7 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p7 @ Y ) )
                  | ( p8 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p7 @ Y )
                          & ! [X: $i] :
                              ( ( p7 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p7 @ Y ) )
                      | ( p8 @ Y )
                      | ! [X: $i] :
                          ( ( p7 @ X )
                          | ~ ( ( p8 @ X )
                              & ! [Y: $i] :
                                  ( ( p8 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p7 @ X )
                              & ! [Y: $i] :
                                  ( ( p7 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p7 @ X ) )
                          | ( p8 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p7 @ Y )
                      | ~ ( ( p8 @ Y )
                          & ! [X: $i] :
                              ( ( p8 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p7 @ Y )
                          & ! [X: $i] :
                              ( ( p7 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p7 @ Y ) )
                      | ( p8 @ Y )
                      | ( p7 @ Y )
                      | ~ ( ( p8 @ Y )
                          & ! [X: $i] :
                              ( ( p8 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p6 @ Y )
                  | ~ ( ( p7 @ Y )
                      & ! [X: $i] :
                          ( ( p7 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p6 @ Y )
                      & ! [X: $i] :
                          ( ( p6 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p6 @ Y ) )
                  | ( p7 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p6 @ Y ) )
                      | ( p7 @ Y )
                      | ! [X: $i] :
                          ( ( p6 @ X )
                          | ~ ( ( p7 @ X )
                              & ! [Y: $i] :
                                  ( ( p7 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p6 @ X )
                              & ! [Y: $i] :
                                  ( ( p6 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p6 @ X ) )
                          | ( p7 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p6 @ Y )
                      | ~ ( ( p7 @ Y )
                          & ! [X: $i] :
                              ( ( p7 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p6 @ Y ) )
                      | ( p7 @ Y )
                      | ( p6 @ Y )
                      | ~ ( ( p7 @ Y )
                          & ! [X: $i] :
                              ( ( p7 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ! [Y: $i] :
              ( ~ ( ! [X: $i] :
                      ( ( p15 @ X )
                      | ~ ( r1 @ Y @ X ) )
                  & ( p15 @ Y ) )
              | ( p15 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ( ! [X: $i] :
                      ( ( p15 @ X )
                      | ~ ( r1 @ Y @ X ) )
                  & ( p15 @ Y ) )
              | ( p15 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ~ ( ! [Y: $i] :
                  ( ( p5 @ Y )
                  | ~ ( ( p6 @ Y )
                      & ! [X: $i] :
                          ( ( p6 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p5 @ Y )
                      & ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p5 @ Y ) )
                  | ( p6 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p5 @ Y ) )
                      | ( p6 @ Y )
                      | ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( ( p6 @ X )
                              & ! [Y: $i] :
                                  ( ( p6 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p5 @ X )
                              & ! [Y: $i] :
                                  ( ( p5 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p5 @ X ) )
                          | ( p6 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p5 @ Y )
                      | ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p5 @ Y ) )
                      | ( p6 @ Y )
                      | ( p5 @ Y )
                      | ~ ( ( p6 @ Y )
                          & ! [X: $i] :
                              ( ( p6 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p4 @ Y )
                  | ~ ( ( p5 @ Y )
                      & ! [X: $i] :
                          ( ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p4 @ Y )
                      & ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p4 @ Y ) )
                  | ( p5 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p4 @ Y ) )
                      | ( p5 @ Y )
                      | ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( ( p5 @ X )
                              & ! [Y: $i] :
                                  ( ( p5 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p4 @ X )
                              & ! [Y: $i] :
                                  ( ( p4 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p4 @ X ) )
                          | ( p5 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p4 @ Y )
                      | ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p4 @ Y ) )
                      | ( p5 @ Y )
                      | ( p4 @ Y )
                      | ~ ( ( p5 @ Y )
                          & ! [X: $i] :
                              ( ( p5 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p3 @ Y )
                  | ~ ( ( p4 @ Y )
                      & ! [X: $i] :
                          ( ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p3 @ Y )
                      & ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p3 @ Y ) )
                  | ( p4 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p3 @ Y ) )
                      | ( p4 @ Y )
                      | ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( ( p4 @ X )
                              & ! [Y: $i] :
                                  ( ( p4 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p3 @ X )
                              & ! [Y: $i] :
                                  ( ( p3 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p3 @ X ) )
                          | ( p4 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p3 @ Y )
                      | ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p3 @ Y ) )
                      | ( p4 @ Y )
                      | ( p3 @ Y )
                      | ~ ( ( p4 @ Y )
                          & ! [X: $i] :
                              ( ( p4 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p2 @ Y )
                  | ~ ( ( p3 @ Y )
                      & ! [X: $i] :
                          ( ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p2 @ Y )
                      & ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p2 @ Y ) )
                  | ( p3 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p2 @ Y ) )
                      | ( p3 @ Y )
                      | ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( ( p3 @ X )
                              & ! [Y: $i] :
                                  ( ( p3 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p2 @ X )
                              & ! [Y: $i] :
                                  ( ( p2 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p2 @ X ) )
                          | ( p3 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p2 @ Y )
                      | ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p2 @ Y ) )
                      | ( p3 @ Y )
                      | ( p2 @ Y )
                      | ~ ( ( p3 @ Y )
                          & ! [X: $i] :
                              ( ( p3 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) )
          | ~ ( ! [Y: $i] :
                  ( ( p1 @ Y )
                  | ~ ( ( p2 @ Y )
                      & ! [X: $i] :
                          ( ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) ) )
                  | ~ ( r1 @ X @ Y ) )
              | ! [Y: $i] :
                  ( ~ ( ( p1 @ Y )
                      & ! [X: $i] :
                          ( ( p1 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      & ( p1 @ Y ) )
                  | ( p2 @ Y )
                  | ~ ( r1 @ X @ Y ) )
              | ~ ( ! [Y: $i] :
                      ( ~ ( ( p1 @ Y )
                          & ! [X: $i] :
                              ( ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p1 @ Y ) )
                      | ( p2 @ Y )
                      | ! [X: $i] :
                          ( ( p1 @ X )
                          | ~ ( ( p2 @ X )
                              & ! [Y: $i] :
                                  ( ( p2 @ Y )
                                  | ~ ( r1 @ X @ Y ) ) )
                          | ~ ( r1 @ Y @ X ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ! [X: $i] :
                          ( ~ ( ( p1 @ X )
                              & ! [Y: $i] :
                                  ( ( p1 @ Y )
                                  | ~ ( r1 @ X @ Y ) )
                              & ( p1 @ X ) )
                          | ( p2 @ X )
                          | ~ ( r1 @ Y @ X ) )
                      | ( p1 @ Y )
                      | ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) )
                  & ! [Y: $i] :
                      ( ~ ( ( p1 @ Y )
                          & ! [X: $i] :
                              ( ( p1 @ X )
                              | ~ ( r1 @ Y @ X ) )
                          & ( p1 @ Y ) )
                      | ( p2 @ Y )
                      | ( p1 @ Y )
                      | ~ ( ( p2 @ Y )
                          & ! [X: $i] :
                              ( ( p2 @ X )
                              | ~ ( r1 @ Y @ X ) ) )
                      | ~ ( r1 @ X @ Y ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ~ ( ! [Y: $i] :
                ( ( p15 @ Y )
                | ~ ( ( p16 @ Y )
                    & ! [X: $i] :
                        ( ( p16 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p15 @ Y )
                    & ! [X: $i] :
                        ( ( p15 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p15 @ Y ) )
                | ( p16 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p15 @ Y )
                        & ! [X: $i] :
                            ( ( p15 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p15 @ Y ) )
                    | ( p16 @ Y )
                    | ! [X: $i] :
                        ( ( p15 @ X )
                        | ~ ( ( p16 @ X )
                            & ! [Y: $i] :
                                ( ( p16 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p15 @ X )
                            & ! [Y: $i] :
                                ( ( p15 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p15 @ X ) )
                        | ( p16 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p15 @ Y )
                    | ~ ( ( p16 @ Y )
                        & ! [X: $i] :
                            ( ( p16 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p15 @ Y )
                        & ! [X: $i] :
                            ( ( p15 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p15 @ Y ) )
                    | ( p16 @ Y )
                    | ( p15 @ Y )
                    | ~ ( ( p16 @ Y )
                        & ! [X: $i] :
                            ( ( p16 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p14 @ Y )
                | ~ ( ( p15 @ Y )
                    & ! [X: $i] :
                        ( ( p15 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p14 @ Y )
                    & ! [X: $i] :
                        ( ( p14 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p14 @ Y ) )
                | ( p15 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p14 @ Y )
                        & ! [X: $i] :
                            ( ( p14 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p14 @ Y ) )
                    | ( p15 @ Y )
                    | ! [X: $i] :
                        ( ( p14 @ X )
                        | ~ ( ( p15 @ X )
                            & ! [Y: $i] :
                                ( ( p15 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p14 @ X )
                            & ! [Y: $i] :
                                ( ( p14 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p14 @ X ) )
                        | ( p15 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p14 @ Y )
                    | ~ ( ( p15 @ Y )
                        & ! [X: $i] :
                            ( ( p15 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p14 @ Y )
                        & ! [X: $i] :
                            ( ( p14 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p14 @ Y ) )
                    | ( p15 @ Y )
                    | ( p14 @ Y )
                    | ~ ( ( p15 @ Y )
                        & ! [X: $i] :
                            ( ( p15 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p13 @ Y )
                | ~ ( ( p14 @ Y )
                    & ! [X: $i] :
                        ( ( p14 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p13 @ Y )
                    & ! [X: $i] :
                        ( ( p13 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p13 @ Y ) )
                | ( p14 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p13 @ Y )
                        & ! [X: $i] :
                            ( ( p13 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p13 @ Y ) )
                    | ( p14 @ Y )
                    | ! [X: $i] :
                        ( ( p13 @ X )
                        | ~ ( ( p14 @ X )
                            & ! [Y: $i] :
                                ( ( p14 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p13 @ X )
                            & ! [Y: $i] :
                                ( ( p13 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p13 @ X ) )
                        | ( p14 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p13 @ Y )
                    | ~ ( ( p14 @ Y )
                        & ! [X: $i] :
                            ( ( p14 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p13 @ Y )
                        & ! [X: $i] :
                            ( ( p13 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p13 @ Y ) )
                    | ( p14 @ Y )
                    | ( p13 @ Y )
                    | ~ ( ( p14 @ Y )
                        & ! [X: $i] :
                            ( ( p14 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p12 @ Y )
                | ~ ( ( p13 @ Y )
                    & ! [X: $i] :
                        ( ( p13 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p12 @ Y )
                    & ! [X: $i] :
                        ( ( p12 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p12 @ Y ) )
                | ( p13 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p12 @ Y )
                        & ! [X: $i] :
                            ( ( p12 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p12 @ Y ) )
                    | ( p13 @ Y )
                    | ! [X: $i] :
                        ( ( p12 @ X )
                        | ~ ( ( p13 @ X )
                            & ! [Y: $i] :
                                ( ( p13 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p12 @ X )
                            & ! [Y: $i] :
                                ( ( p12 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p12 @ X ) )
                        | ( p13 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p12 @ Y )
                    | ~ ( ( p13 @ Y )
                        & ! [X: $i] :
                            ( ( p13 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p12 @ Y )
                        & ! [X: $i] :
                            ( ( p12 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p12 @ Y ) )
                    | ( p13 @ Y )
                    | ( p12 @ Y )
                    | ~ ( ( p13 @ Y )
                        & ! [X: $i] :
                            ( ( p13 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p11 @ Y )
                | ~ ( ( p12 @ Y )
                    & ! [X: $i] :
                        ( ( p12 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p11 @ Y )
                    & ! [X: $i] :
                        ( ( p11 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p11 @ Y ) )
                | ( p12 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p11 @ Y )
                        & ! [X: $i] :
                            ( ( p11 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p11 @ Y ) )
                    | ( p12 @ Y )
                    | ! [X: $i] :
                        ( ( p11 @ X )
                        | ~ ( ( p12 @ X )
                            & ! [Y: $i] :
                                ( ( p12 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p11 @ X )
                            & ! [Y: $i] :
                                ( ( p11 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p11 @ X ) )
                        | ( p12 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p11 @ Y )
                    | ~ ( ( p12 @ Y )
                        & ! [X: $i] :
                            ( ( p12 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p11 @ Y )
                        & ! [X: $i] :
                            ( ( p11 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p11 @ Y ) )
                    | ( p12 @ Y )
                    | ( p11 @ Y )
                    | ~ ( ( p12 @ Y )
                        & ! [X: $i] :
                            ( ( p12 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p10 @ Y )
                | ~ ( ( p11 @ Y )
                    & ! [X: $i] :
                        ( ( p11 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p10 @ Y )
                    & ! [X: $i] :
                        ( ( p10 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p10 @ Y ) )
                | ( p11 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p10 @ Y )
                        & ! [X: $i] :
                            ( ( p10 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p10 @ Y ) )
                    | ( p11 @ Y )
                    | ! [X: $i] :
                        ( ( p10 @ X )
                        | ~ ( ( p11 @ X )
                            & ! [Y: $i] :
                                ( ( p11 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p10 @ X )
                            & ! [Y: $i] :
                                ( ( p10 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p10 @ X ) )
                        | ( p11 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p10 @ Y )
                    | ~ ( ( p11 @ Y )
                        & ! [X: $i] :
                            ( ( p11 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p10 @ Y )
                        & ! [X: $i] :
                            ( ( p10 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p10 @ Y ) )
                    | ( p11 @ Y )
                    | ( p10 @ Y )
                    | ~ ( ( p11 @ Y )
                        & ! [X: $i] :
                            ( ( p11 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p9 @ Y )
                | ~ ( ( p10 @ Y )
                    & ! [X: $i] :
                        ( ( p10 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p9 @ Y )
                    & ! [X: $i] :
                        ( ( p9 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p9 @ Y ) )
                | ( p10 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p9 @ Y )
                        & ! [X: $i] :
                            ( ( p9 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p9 @ Y ) )
                    | ( p10 @ Y )
                    | ! [X: $i] :
                        ( ( p9 @ X )
                        | ~ ( ( p10 @ X )
                            & ! [Y: $i] :
                                ( ( p10 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p9 @ X )
                            & ! [Y: $i] :
                                ( ( p9 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p9 @ X ) )
                        | ( p10 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p9 @ Y )
                    | ~ ( ( p10 @ Y )
                        & ! [X: $i] :
                            ( ( p10 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p9 @ Y )
                        & ! [X: $i] :
                            ( ( p9 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p9 @ Y ) )
                    | ( p10 @ Y )
                    | ( p9 @ Y )
                    | ~ ( ( p10 @ Y )
                        & ! [X: $i] :
                            ( ( p10 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p8 @ Y )
                | ~ ( ( p9 @ Y )
                    & ! [X: $i] :
                        ( ( p9 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p8 @ Y )
                    & ! [X: $i] :
                        ( ( p8 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p8 @ Y ) )
                | ( p9 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p8 @ Y )
                        & ! [X: $i] :
                            ( ( p8 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p8 @ Y ) )
                    | ( p9 @ Y )
                    | ! [X: $i] :
                        ( ( p8 @ X )
                        | ~ ( ( p9 @ X )
                            & ! [Y: $i] :
                                ( ( p9 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p8 @ X )
                            & ! [Y: $i] :
                                ( ( p8 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p8 @ X ) )
                        | ( p9 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p8 @ Y )
                    | ~ ( ( p9 @ Y )
                        & ! [X: $i] :
                            ( ( p9 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p8 @ Y )
                        & ! [X: $i] :
                            ( ( p8 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p8 @ Y ) )
                    | ( p9 @ Y )
                    | ( p8 @ Y )
                    | ~ ( ( p9 @ Y )
                        & ! [X: $i] :
                            ( ( p9 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p7 @ Y )
                | ~ ( ( p8 @ Y )
                    & ! [X: $i] :
                        ( ( p8 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p7 @ Y )
                    & ! [X: $i] :
                        ( ( p7 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p7 @ Y ) )
                | ( p8 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p7 @ Y )
                        & ! [X: $i] :
                            ( ( p7 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p7 @ Y ) )
                    | ( p8 @ Y )
                    | ! [X: $i] :
                        ( ( p7 @ X )
                        | ~ ( ( p8 @ X )
                            & ! [Y: $i] :
                                ( ( p8 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p7 @ X )
                            & ! [Y: $i] :
                                ( ( p7 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p7 @ X ) )
                        | ( p8 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p7 @ Y )
                    | ~ ( ( p8 @ Y )
                        & ! [X: $i] :
                            ( ( p8 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p7 @ Y )
                        & ! [X: $i] :
                            ( ( p7 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p7 @ Y ) )
                    | ( p8 @ Y )
                    | ( p7 @ Y )
                    | ~ ( ( p8 @ Y )
                        & ! [X: $i] :
                            ( ( p8 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p6 @ Y )
                | ~ ( ( p7 @ Y )
                    & ! [X: $i] :
                        ( ( p7 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p6 @ Y )
                    & ! [X: $i] :
                        ( ( p6 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p6 @ Y ) )
                | ( p7 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p6 @ Y ) )
                    | ( p7 @ Y )
                    | ! [X: $i] :
                        ( ( p6 @ X )
                        | ~ ( ( p7 @ X )
                            & ! [Y: $i] :
                                ( ( p7 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p6 @ X )
                            & ! [Y: $i] :
                                ( ( p6 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p6 @ X ) )
                        | ( p7 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p6 @ Y )
                    | ~ ( ( p7 @ Y )
                        & ! [X: $i] :
                            ( ( p7 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p6 @ Y ) )
                    | ( p7 @ Y )
                    | ( p6 @ Y )
                    | ~ ( ( p7 @ Y )
                        & ! [X: $i] :
                            ( ( p7 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ! [Y: $i] :
            ( ~ ( ! [X: $i] :
                    ( ( p15 @ X )
                    | ~ ( r1 @ Y @ X ) )
                & ( p15 @ Y ) )
            | ( p15 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ( ! [X: $i] :
                    ( ( p15 @ X )
                    | ~ ( r1 @ Y @ X ) )
                & ( p15 @ Y ) )
            | ( p15 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ~ ( ! [Y: $i] :
                ( ( p5 @ Y )
                | ~ ( ( p6 @ Y )
                    & ! [X: $i] :
                        ( ( p6 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p5 @ Y )
                    & ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p5 @ Y ) )
                | ( p6 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p5 @ Y ) )
                    | ( p6 @ Y )
                    | ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( ( p6 @ X )
                            & ! [Y: $i] :
                                ( ( p6 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p5 @ X )
                            & ! [Y: $i] :
                                ( ( p5 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p5 @ X ) )
                        | ( p6 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p5 @ Y )
                    | ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p5 @ Y ) )
                    | ( p6 @ Y )
                    | ( p5 @ Y )
                    | ~ ( ( p6 @ Y )
                        & ! [X: $i] :
                            ( ( p6 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p4 @ Y )
                | ~ ( ( p5 @ Y )
                    & ! [X: $i] :
                        ( ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p4 @ Y )
                    & ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p4 @ Y ) )
                | ( p5 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p4 @ Y ) )
                    | ( p5 @ Y )
                    | ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( ( p5 @ X )
                            & ! [Y: $i] :
                                ( ( p5 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p4 @ X )
                            & ! [Y: $i] :
                                ( ( p4 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p4 @ X ) )
                        | ( p5 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p4 @ Y )
                    | ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p4 @ Y ) )
                    | ( p5 @ Y )
                    | ( p4 @ Y )
                    | ~ ( ( p5 @ Y )
                        & ! [X: $i] :
                            ( ( p5 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p3 @ Y )
                | ~ ( ( p4 @ Y )
                    & ! [X: $i] :
                        ( ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p3 @ Y )
                    & ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p3 @ Y ) )
                | ( p4 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p3 @ Y ) )
                    | ( p4 @ Y )
                    | ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( ( p4 @ X )
                            & ! [Y: $i] :
                                ( ( p4 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p3 @ X )
                            & ! [Y: $i] :
                                ( ( p3 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p3 @ X ) )
                        | ( p4 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p3 @ Y )
                    | ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p3 @ Y ) )
                    | ( p4 @ Y )
                    | ( p3 @ Y )
                    | ~ ( ( p4 @ Y )
                        & ! [X: $i] :
                            ( ( p4 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p2 @ Y )
                | ~ ( ( p3 @ Y )
                    & ! [X: $i] :
                        ( ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p2 @ Y )
                    & ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p2 @ Y ) )
                | ( p3 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p2 @ Y ) )
                    | ( p3 @ Y )
                    | ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( ( p3 @ X )
                            & ! [Y: $i] :
                                ( ( p3 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p2 @ X )
                            & ! [Y: $i] :
                                ( ( p2 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p2 @ X ) )
                        | ( p3 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p2 @ Y )
                    | ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p2 @ Y ) )
                    | ( p3 @ Y )
                    | ( p2 @ Y )
                    | ~ ( ( p3 @ Y )
                        & ! [X: $i] :
                            ( ( p3 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) )
        | ~ ( ! [Y: $i] :
                ( ( p1 @ Y )
                | ~ ( ( p2 @ Y )
                    & ! [X: $i] :
                        ( ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) ) )
                | ~ ( r1 @ X @ Y ) )
            | ! [Y: $i] :
                ( ~ ( ( p1 @ Y )
                    & ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    & ( p1 @ Y ) )
                | ( p2 @ Y )
                | ~ ( r1 @ X @ Y ) )
            | ~ ( ! [Y: $i] :
                    ( ~ ( ( p1 @ Y )
                        & ! [X: $i] :
                            ( ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p1 @ Y ) )
                    | ( p2 @ Y )
                    | ! [X: $i] :
                        ( ( p1 @ X )
                        | ~ ( ( p2 @ X )
                            & ! [Y: $i] :
                                ( ( p2 @ Y )
                                | ~ ( r1 @ X @ Y ) ) )
                        | ~ ( r1 @ Y @ X ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ! [X: $i] :
                        ( ~ ( ( p1 @ X )
                            & ! [Y: $i] :
                                ( ( p1 @ Y )
                                | ~ ( r1 @ X @ Y ) )
                            & ( p1 @ X ) )
                        | ( p2 @ X )
                        | ~ ( r1 @ Y @ X ) )
                    | ( p1 @ Y )
                    | ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) )
                & ! [Y: $i] :
                    ( ~ ( ( p1 @ Y )
                        & ! [X: $i] :
                            ( ( p1 @ X )
                            | ~ ( r1 @ Y @ X ) )
                        & ( p1 @ Y ) )
                    | ( p2 @ Y )
                    | ( p1 @ Y )
                    | ~ ( ( p2 @ Y )
                        & ! [X: $i] :
                            ( ( p2 @ X )
                            | ~ ( r1 @ Y @ X ) ) )
                    | ~ ( r1 @ X @ Y ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl12962,plain,
    ~ ( p15 @ sk__72 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12960,plain,
    p15 @ sk__72,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38888,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl12962,zip_derived_cl12960]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL644+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OZvca3xGuI true
% 0.13/0.35  % Computer : n001.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri Aug 25 07:25:28 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 25.43/4.32  % Solved by fo/fo4.sh.
% 25.43/4.32  % done 4 iterations in 3.531s
% 25.43/4.32  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.43/4.32  % SZS output start Refutation
% See solution above
% 25.43/4.32  
% 25.43/4.32  
% 25.43/4.32  % Terminating...
% 25.43/4.37  % Runner terminated.
% 25.43/4.38  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------