TSTP Solution File: LCL640+1.015 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL640+1.015 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n031.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 May 19 11:30:52 EDT 2023

% Result   : Theorem 29.42s 7.24s
% Output   : Refutation 29.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   1 unt;   2 typ;   0 def)
%            Number of atoms       : 1144 (   0 equ;   0 cnn)
%            Maximal formula atoms :  381 ( 286 avg)
%            Number of connectives : 4154 (1085   ~;1071   |;  69   &;1929   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   51 (  38 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    3 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :  789 (   0   ^; 786   !;   3   ?; 789   :)

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

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

thf(1,conjecture,
    ~ ? [A: $i] :
        ~ ( ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ! [L: $i] :
                                                        ( ~ ( r1 @ K @ L )
                                                        | ! [M: $i] :
                                                            ( ~ ( r1 @ L @ M )
                                                            | ! [N: $i] :
                                                                ( ~ ( r1 @ M @ N )
                                                                | ! [O: $i] :
                                                                    ( ~ ( r1 @ N @ O )
                                                                    | ( ( ( p1 @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ~ ! [Q: $i] :
                                                                                  ( ~ ( r1 @ P @ Q )
                                                                                  | ( p1 @ Q ) ) )
                                                                        | ~ ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ( p1 @ P )
                                                                              | ~ ! [Q: $i] :
                                                                                    ( ~ ( r1 @ P @ Q )
                                                                                    | ! [R: $i] :
                                                                                        ( ~ ( r1 @ Q @ R )
                                                                                        | ( p1 @ R ) )
                                                                                    | ~ ( p1 @ Q ) ) ) )
                                                                      & ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ! [Q: $i] :
                                                                              ( ~ ( r1 @ P @ Q )
                                                                              | ! [R: $i] :
                                                                                  ( ~ ( r1 @ Q @ R )
                                                                                  | ( p1 @ R ) ) )
                                                                          | ~ ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ! [L: $i] :
                                                        ( ~ ( r1 @ K @ L )
                                                        | ! [M: $i] :
                                                            ( ~ ( r1 @ L @ M )
                                                            | ! [N: $i] :
                                                                ( ~ ( r1 @ M @ N )
                                                                | ( ( ( p1 @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ~ ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ( p1 @ P ) ) )
                                                                    | ~ ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ( p1 @ O )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ! [Q: $i] :
                                                                                    ( ~ ( r1 @ P @ Q )
                                                                                    | ( p1 @ Q ) )
                                                                                | ~ ( p1 @ P ) ) ) )
                                                                  & ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ! [Q: $i] :
                                                                              ( ~ ( r1 @ P @ Q )
                                                                              | ( p1 @ Q ) ) )
                                                                      | ~ ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ( p1 @ P ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ! [L: $i] :
                                                        ( ~ ( r1 @ K @ L )
                                                        | ! [M: $i] :
                                                            ( ~ ( r1 @ L @ M )
                                                            | ( ( ( p1 @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ~ ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ( p1 @ O ) ) )
                                                                | ~ ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ( p1 @ N )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ( p1 @ P ) )
                                                                            | ~ ( p1 @ O ) ) ) )
                                                              & ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ( p1 @ P ) ) )
                                                                  | ~ ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ( p1 @ O ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ! [L: $i] :
                                                        ( ~ ( r1 @ K @ L )
                                                        | ( ( ( p1 @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ~ ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ( p1 @ N ) ) )
                                                            | ~ ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ( p1 @ M )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ( p1 @ O ) )
                                                                        | ~ ( p1 @ N ) ) ) )
                                                          & ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ( p1 @ O ) ) )
                                                              | ~ ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ( p1 @ N ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ( ( ( p1 @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ~ ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ( p1 @ M ) ) )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ( p1 @ L )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ( p1 @ N ) )
                                                                    | ~ ( p1 @ M ) ) ) )
                                                      & ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ( p1 @ N ) ) )
                                                          | ~ ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ( p1 @ M ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ( ( ( p1 @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ( p1 @ L ) ) )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) )
                                                                | ~ ( p1 @ L ) ) ) )
                                                  & ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ( p1 @ M ) ) )
                                                      | ~ ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ( p1 @ L ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ( ( ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ( p1 @ J ) )
                                                | ~ ( p1 @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ( p1 @ L ) )
                                                          | ~ ( p1 @ K ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) )
                                                      | ~ ( p1 @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) )
                                                                | ~ ( p1 @ L ) )
                                                            | ~ ( ! [L: $i] :
                                                                    ( ~ ( r1 @ K @ L )
                                                                    | ( p1 @ L ) )
                                                                | ~ ( p1 @ K ) ) ) ) )
                                              & ( ( p1 @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) )
                                                            | ~ ( p1 @ K ) ) ) )
                                              & ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ( p1 @ L ) ) )
                                                  | ~ ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ( p1 @ K ) ) )
                                              & ( ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ( p1 @ K )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ( p1 @ M ) )
                                                              | ~ ( p1 @ L ) ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) )
                                                            | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ( ~ ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ( p1 @ J ) )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) )
                                                            | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ( ( ( p1 @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J ) ) )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ( p1 @ I )
                                                    | ~ ! [J: $i] :
                                                          ( ~ ( r1 @ I @ J )
                                                          | ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ( p1 @ K ) )
                                                          | ~ ( p1 @ J ) ) ) )
                                            & ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ( p1 @ K ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) ) ) ) ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ( ( ( p1 @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ( p1 @ I ) ) )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ( p1 @ H )
                                                | ~ ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ! [J: $i] :
                                                          ( ~ ( r1 @ I @ J )
                                                          | ( p1 @ J ) )
                                                      | ~ ( p1 @ I ) ) ) )
                                        & ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ( p1 @ J ) ) )
                                            | ~ ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ( p1 @ I ) ) ) ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ( ( ( p1 @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ( p1 @ H ) ) )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ( p1 @ G )
                                            | ~ ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ( p1 @ I ) )
                                                  | ~ ( p1 @ H ) ) ) )
                                    & ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ( p1 @ I ) ) )
                                        | ~ ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ( p1 @ H ) ) ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ( ( ( p1 @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ( p1 @ G ) ) )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ( p1 @ F )
                                        | ~ ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ( p1 @ H ) )
                                              | ~ ( p1 @ G ) ) ) )
                                & ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ( p1 @ H ) ) )
                                    | ~ ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ( p1 @ G ) ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ( ( ( p1 @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ( p1 @ F ) ) )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ( p1 @ E )
                                    | ~ ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ( p1 @ G ) )
                                          | ~ ( p1 @ F ) ) ) )
                            & ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ( p1 @ G ) ) )
                                | ~ ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ( p1 @ F ) ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ( ( ( p1 @ C )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ( p1 @ E ) ) )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ( p1 @ D )
                                | ~ ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ( p1 @ F ) )
                                      | ~ ( p1 @ E ) ) ) )
                        & ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ( p1 @ F ) ) )
                            | ~ ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ( p1 @ E ) ) ) ) ) )
              & ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ( ( ( p1 @ B )
                      | ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ( p1 @ D ) ) )
                      | ~ ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ( p1 @ C )
                            | ~ ! [D: $i] :
                                  ( ~ ( r1 @ C @ D )
                                  | ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ( p1 @ E ) )
                                  | ~ ( p1 @ D ) ) ) )
                    & ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ( p1 @ E ) ) )
                        | ~ ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ( p1 @ D ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

thf(2,negated_conjecture,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ( ( ( p1 @ O )
                                                                          | ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ~ ! [Q: $i] :
                                                                                    ( ~ ( r1 @ P @ Q )
                                                                                    | ( p1 @ Q ) ) )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ( p1 @ P )
                                                                                | ~ ! [Q: $i] :
                                                                                      ( ~ ( r1 @ P @ Q )
                                                                                      | ! [R: $i] :
                                                                                          ( ~ ( r1 @ Q @ R )
                                                                                          | ( p1 @ R ) )
                                                                                      | ~ ( p1 @ Q ) ) ) )
                                                                        & ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ! [R: $i] :
                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                    | ( p1 @ R ) ) )
                                                                            | ~ ! [Q: $i] :
                                                                                  ( ~ ( r1 @ P @ Q )
                                                                                  | ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ( ( ( p1 @ N )
                                                                      | ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ( p1 @ P ) ) )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ( p1 @ O )
                                                                            | ~ ! [P: $i] :
                                                                                  ( ~ ( r1 @ O @ P )
                                                                                  | ! [Q: $i] :
                                                                                      ( ~ ( r1 @ P @ Q )
                                                                                      | ( p1 @ Q ) )
                                                                                  | ~ ( p1 @ P ) ) ) )
                                                                    & ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ( p1 @ Q ) ) )
                                                                        | ~ ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ( p1 @ P ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ( ( ( p1 @ M )
                                                                  | ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ( p1 @ O ) ) )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ( p1 @ N )
                                                                        | ~ ! [O: $i] :
                                                                              ( ~ ( r1 @ N @ O )
                                                                              | ! [P: $i] :
                                                                                  ( ~ ( r1 @ O @ P )
                                                                                  | ( p1 @ P ) )
                                                                              | ~ ( p1 @ O ) ) ) )
                                                                & ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ( p1 @ P ) ) )
                                                                    | ~ ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ( p1 @ O ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ( ( ( p1 @ L )
                                                              | ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ( p1 @ N ) ) )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M )
                                                                    | ~ ! [N: $i] :
                                                                          ( ~ ( r1 @ M @ N )
                                                                          | ! [O: $i] :
                                                                              ( ~ ( r1 @ N @ O )
                                                                              | ( p1 @ O ) )
                                                                          | ~ ( p1 @ N ) ) ) )
                                                            & ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ( p1 @ O ) ) )
                                                                | ~ ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ( p1 @ N ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ( ( ( p1 @ K )
                                                          | ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) ) )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L )
                                                                | ~ ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ! [N: $i] :
                                                                          ( ~ ( r1 @ M @ N )
                                                                          | ( p1 @ N ) )
                                                                      | ~ ( p1 @ M ) ) ) )
                                                        & ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ( p1 @ N ) ) )
                                                            | ~ ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ( p1 @ M ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ( ( ( p1 @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) ) )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K )
                                                            | ~ ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ( p1 @ M ) )
                                                                  | ~ ( p1 @ L ) ) ) )
                                                    & ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ( p1 @ M ) ) )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ( p1 @ L ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ( ( ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) )
                                                  | ~ ( p1 @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) )
                                                            | ~ ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) )
                                                        | ~ ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ( p1 @ M ) )
                                                                  | ~ ( p1 @ L ) )
                                                              | ~ ( ! [L: $i] :
                                                                      ( ~ ( r1 @ K @ L )
                                                                      | ( p1 @ L ) )
                                                                  | ~ ( p1 @ K ) ) ) ) )
                                                & ( ( p1 @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) )
                                                & ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ( p1 @ L ) ) )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                & ( ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) )
                                                                | ~ ( p1 @ L ) ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ( ~ ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ( ( ( p1 @ H )
                                                | ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ~ ! [J: $i] :
                                                          ( ~ ( r1 @ I @ J )
                                                          | ( p1 @ J ) ) )
                                                | ~ ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ( p1 @ I )
                                                      | ~ ! [J: $i] :
                                                            ( ~ ( r1 @ I @ J )
                                                            | ! [K: $i] :
                                                                ( ~ ( r1 @ J @ K )
                                                                | ( p1 @ K ) )
                                                            | ~ ( p1 @ J ) ) ) )
                                              & ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J ) ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ( ( ( p1 @ G )
                                            | ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ~ ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ( p1 @ I ) ) )
                                            | ~ ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ( p1 @ H )
                                                  | ~ ! [I: $i] :
                                                        ( ~ ( r1 @ H @ I )
                                                        | ! [J: $i] :
                                                            ( ~ ( r1 @ I @ J )
                                                            | ( p1 @ J ) )
                                                        | ~ ( p1 @ I ) ) ) )
                                          & ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) ) )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ( p1 @ I ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ( ( ( p1 @ F )
                                        | ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ~ ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ( p1 @ H ) ) )
                                        | ~ ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ( p1 @ G )
                                              | ~ ! [H: $i] :
                                                    ( ~ ( r1 @ G @ H )
                                                    | ! [I: $i] :
                                                        ( ~ ( r1 @ H @ I )
                                                        | ( p1 @ I ) )
                                                    | ~ ( p1 @ H ) ) ) )
                                      & ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ( p1 @ I ) ) )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ( p1 @ H ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ( ( ( p1 @ E )
                                    | ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ~ ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ( p1 @ G ) ) )
                                    | ~ ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ( p1 @ F )
                                          | ~ ! [G: $i] :
                                                ( ~ ( r1 @ F @ G )
                                                | ! [H: $i] :
                                                    ( ~ ( r1 @ G @ H )
                                                    | ( p1 @ H ) )
                                                | ~ ( p1 @ G ) ) ) )
                                  & ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ( p1 @ H ) ) )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ( p1 @ G ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ( ( ( p1 @ D )
                                | ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ~ ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ( p1 @ F ) ) )
                                | ~ ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ( p1 @ E )
                                      | ~ ! [F: $i] :
                                            ( ~ ( r1 @ E @ F )
                                            | ! [G: $i] :
                                                ( ~ ( r1 @ F @ G )
                                                | ( p1 @ G ) )
                                            | ~ ( p1 @ F ) ) ) )
                              & ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ( p1 @ G ) ) )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ( p1 @ F ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( ( ( p1 @ C )
                            | ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ~ ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ( p1 @ E ) ) )
                            | ~ ! [D: $i] :
                                  ( ~ ( r1 @ C @ D )
                                  | ( p1 @ D )
                                  | ~ ! [E: $i] :
                                        ( ~ ( r1 @ D @ E )
                                        | ! [F: $i] :
                                            ( ~ ( r1 @ E @ F )
                                            | ( p1 @ F ) )
                                        | ~ ( p1 @ E ) ) ) )
                          & ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ( p1 @ F ) ) )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ( p1 @ E ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( ( ( p1 @ B )
                        | ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ~ ! [D: $i] :
                                  ( ~ ( r1 @ C @ D )
                                  | ( p1 @ D ) ) )
                        | ~ ! [C: $i] :
                              ( ~ ( r1 @ B @ C )
                              | ( p1 @ C )
                              | ~ ! [D: $i] :
                                    ( ~ ( r1 @ C @ D )
                                    | ! [E: $i] :
                                        ( ~ ( r1 @ D @ E )
                                        | ( p1 @ E ) )
                                    | ~ ( p1 @ D ) ) ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ( p1 @ E ) ) )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ( p1 @ D ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(3,plain,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ( ( ( p1 @ O )
                                                                          | ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ~ ! [Q: $i] :
                                                                                    ( ~ ( r1 @ P @ Q )
                                                                                    | ( p1 @ Q ) ) )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ( p1 @ P )
                                                                                | ~ ! [Q: $i] :
                                                                                      ( ~ ( r1 @ P @ Q )
                                                                                      | ! [R: $i] :
                                                                                          ( ~ ( r1 @ Q @ R )
                                                                                          | ( p1 @ R ) )
                                                                                      | ~ ( p1 @ Q ) ) ) )
                                                                        & ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ! [R: $i] :
                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                    | ( p1 @ R ) ) )
                                                                            | ~ ! [Q: $i] :
                                                                                  ( ~ ( r1 @ P @ Q )
                                                                                  | ( p1 @ Q ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ( ( ( p1 @ N )
                                                                      | ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ( p1 @ P ) ) )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ( p1 @ O )
                                                                            | ~ ! [P: $i] :
                                                                                  ( ~ ( r1 @ O @ P )
                                                                                  | ! [Q: $i] :
                                                                                      ( ~ ( r1 @ P @ Q )
                                                                                      | ( p1 @ Q ) )
                                                                                  | ~ ( p1 @ P ) ) ) )
                                                                    & ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ( p1 @ Q ) ) )
                                                                        | ~ ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ( p1 @ P ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ( ( ( p1 @ M )
                                                                  | ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ( p1 @ O ) ) )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ( p1 @ N )
                                                                        | ~ ! [O: $i] :
                                                                              ( ~ ( r1 @ N @ O )
                                                                              | ! [P: $i] :
                                                                                  ( ~ ( r1 @ O @ P )
                                                                                  | ( p1 @ P ) )
                                                                              | ~ ( p1 @ O ) ) ) )
                                                                & ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ( p1 @ P ) ) )
                                                                    | ~ ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ( p1 @ O ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ( ( ( p1 @ L )
                                                              | ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ( p1 @ N ) ) )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M )
                                                                    | ~ ! [N: $i] :
                                                                          ( ~ ( r1 @ M @ N )
                                                                          | ! [O: $i] :
                                                                              ( ~ ( r1 @ N @ O )
                                                                              | ( p1 @ O ) )
                                                                          | ~ ( p1 @ N ) ) ) )
                                                            & ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ( p1 @ O ) ) )
                                                                | ~ ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ( p1 @ N ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ( ( ( p1 @ K )
                                                          | ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) ) )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L )
                                                                | ~ ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ! [N: $i] :
                                                                          ( ~ ( r1 @ M @ N )
                                                                          | ( p1 @ N ) )
                                                                      | ~ ( p1 @ M ) ) ) )
                                                        & ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ( p1 @ N ) ) )
                                                            | ~ ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ( p1 @ M ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ( ( ( p1 @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) ) )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K )
                                                            | ~ ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ( p1 @ M ) )
                                                                  | ~ ( p1 @ L ) ) ) )
                                                    & ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ( p1 @ M ) ) )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ( p1 @ L ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ( ( ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) )
                                                  | ~ ( p1 @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ( p1 @ L ) )
                                                            | ~ ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) )
                                                        | ~ ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ! [M: $i] :
                                                                      ( ~ ( r1 @ L @ M )
                                                                      | ( p1 @ M ) )
                                                                  | ~ ( p1 @ L ) )
                                                              | ~ ( ! [L: $i] :
                                                                      ( ~ ( r1 @ K @ L )
                                                                      | ( p1 @ L ) )
                                                                  | ~ ( p1 @ K ) ) ) ) )
                                                & ( ( p1 @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) )
                                                & ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ( p1 @ L ) ) )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                & ( ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ( p1 @ M ) )
                                                                | ~ ( p1 @ L ) ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ( ~ ! [B: $i] :
                      ( ~ ( r1 @ A @ B )
                      | ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J )
                                                        | ~ ! [K: $i] :
                                                              ( ~ ( r1 @ J @ K )
                                                              | ! [L: $i] :
                                                                  ( ~ ( r1 @ K @ L )
                                                                  | ( p1 @ L ) )
                                                              | ~ ( p1 @ K ) ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ( ( ( p1 @ H )
                                                | ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ~ ! [J: $i] :
                                                          ( ~ ( r1 @ I @ J )
                                                          | ( p1 @ J ) ) )
                                                | ~ ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ( p1 @ I )
                                                      | ~ ! [J: $i] :
                                                            ( ~ ( r1 @ I @ J )
                                                            | ! [K: $i] :
                                                                ( ~ ( r1 @ J @ K )
                                                                | ( p1 @ K ) )
                                                            | ~ ( p1 @ J ) ) ) )
                                              & ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ( p1 @ K ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ( p1 @ J ) ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ( ( ( p1 @ G )
                                            | ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ~ ! [I: $i] :
                                                      ( ~ ( r1 @ H @ I )
                                                      | ( p1 @ I ) ) )
                                            | ~ ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ( p1 @ H )
                                                  | ~ ! [I: $i] :
                                                        ( ~ ( r1 @ H @ I )
                                                        | ! [J: $i] :
                                                            ( ~ ( r1 @ I @ J )
                                                            | ( p1 @ J ) )
                                                        | ~ ( p1 @ I ) ) ) )
                                          & ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ( p1 @ J ) ) )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ( p1 @ I ) ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ( ( ( p1 @ F )
                                        | ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ~ ! [H: $i] :
                                                  ( ~ ( r1 @ G @ H )
                                                  | ( p1 @ H ) ) )
                                        | ~ ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ( p1 @ G )
                                              | ~ ! [H: $i] :
                                                    ( ~ ( r1 @ G @ H )
                                                    | ! [I: $i] :
                                                        ( ~ ( r1 @ H @ I )
                                                        | ( p1 @ I ) )
                                                    | ~ ( p1 @ H ) ) ) )
                                      & ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ( p1 @ I ) ) )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ( p1 @ H ) ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ( ( ( p1 @ E )
                                    | ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ~ ! [G: $i] :
                                              ( ~ ( r1 @ F @ G )
                                              | ( p1 @ G ) ) )
                                    | ~ ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ( p1 @ F )
                                          | ~ ! [G: $i] :
                                                ( ~ ( r1 @ F @ G )
                                                | ! [H: $i] :
                                                    ( ~ ( r1 @ G @ H )
                                                    | ( p1 @ H ) )
                                                | ~ ( p1 @ G ) ) ) )
                                  & ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ( p1 @ H ) ) )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ( p1 @ G ) ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ( ( ( p1 @ D )
                                | ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ~ ! [F: $i] :
                                          ( ~ ( r1 @ E @ F )
                                          | ( p1 @ F ) ) )
                                | ~ ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ( p1 @ E )
                                      | ~ ! [F: $i] :
                                            ( ~ ( r1 @ E @ F )
                                            | ! [G: $i] :
                                                ( ~ ( r1 @ F @ G )
                                                | ( p1 @ G ) )
                                            | ~ ( p1 @ F ) ) ) )
                              & ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ( p1 @ G ) ) )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ( p1 @ F ) ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ( ( ( p1 @ C )
                            | ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ~ ! [E: $i] :
                                      ( ~ ( r1 @ D @ E )
                                      | ( p1 @ E ) ) )
                            | ~ ! [D: $i] :
                                  ( ~ ( r1 @ C @ D )
                                  | ( p1 @ D )
                                  | ~ ! [E: $i] :
                                        ( ~ ( r1 @ D @ E )
                                        | ! [F: $i] :
                                            ( ~ ( r1 @ E @ F )
                                            | ( p1 @ F ) )
                                        | ~ ( p1 @ E ) ) ) )
                          & ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ( p1 @ F ) ) )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ( p1 @ E ) ) ) ) ) )
                & ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ( ( ( p1 @ B )
                        | ! [C: $i] :
                            ( ~ ( r1 @ B @ C )
                            | ~ ! [D: $i] :
                                  ( ~ ( r1 @ C @ D )
                                  | ( p1 @ D ) ) )
                        | ~ ! [C: $i] :
                              ( ~ ( r1 @ B @ C )
                              | ( p1 @ C )
                              | ~ ! [D: $i] :
                                    ( ~ ( r1 @ C @ D )
                                    | ! [E: $i] :
                                        ( ~ ( r1 @ D @ E )
                                        | ( p1 @ E ) )
                                    | ~ ( p1 @ D ) ) ) )
                      & ! [C: $i] :
                          ( ~ ( r1 @ B @ C )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ( p1 @ E ) ) )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ( p1 @ D ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(7250,plain,
    $false,
    inference(e,[status(thm)],[3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : LCL640+1.015 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 16:46:26 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.90/0.83  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.48/0.99  % [INFO] 	 Parsing done (163ms). 
% 1.48/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.77/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.77/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.77/1.19  % [INFO] 	 Scanning for conjecture ... 
% 2.33/1.36  % [INFO] 	 Found a conjecture and 0 axioms. Running axiom selection ... 
% 2.37/1.40  % [INFO] 	 Axiom selection finished. Selected 0 axioms (removed 0 axioms). 
% 2.37/1.40  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.37/1.42  % [INFO] 	 Type checking passed. 
% 2.55/1.42  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 29.42/7.24  % External prover 'e' found a proof!
% 29.42/7.24  % [INFO] 	 Killing All external provers ... 
% 29.42/7.24  % Time passed: 6725ms (effective reasoning time: 6234ms)
% 29.42/7.24  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 29.42/7.24  % Axioms used in derivation (0): 
% 29.42/7.24  % No. of inferences in proof: 4
% 29.42/7.24  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 6725 ms resp. 6234 ms w/o parsing
% 29.42/7.31  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 29.42/7.31  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------