TSTP Solution File: LCL662+1.005 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : LCL662+1.005 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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 : Tue May 21 00:06:55 EDT 2024

% Result   : Theorem 61.10s 13.69s
% Output   : Refutation 61.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :  627 (   0 equ;   0 cnn)
%            Maximal formula atoms :  208 ( 104 avg)
%            Number of connectives : 2718 ( 923   ~; 585   |;  36   &;1174   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   66 (  34 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :  551 (   0   ^ 548   !;   3   ?; 551   :)

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

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

thf(p2_type,type,
    p2: $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 )
                                                                                | ! [P: $i] :
                                                                                    ( ~ ( r1 @ O @ P )
                                                                                    | ! [Q: $i] :
                                                                                        ( ~ ( r1 @ P @ Q )
                                                                                        | ~ ! [R: $i] :
                                                                                              ( ~ ( r1 @ Q @ R )
                                                                                              | ~ ! [S: $i] :
                                                                                                    ( ~ ( r1 @ R @ S )
                                                                                                    | ! [T: $i] :
                                                                                                        ( ~ ( r1 @ S @ T )
                                                                                                        | ! [U: $i] :
                                                                                                            ( ~ ( r1 @ T @ U )
                                                                                                            | ( p1 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ! [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 )
                                                                                | ! [P: $i] :
                                                                                    ( ~ ( r1 @ O @ P )
                                                                                    | ~ ( ~ ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ! [R: $i] :
                                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                                    | ~ ! [S: $i] :
                                                                                                          ( ~ ( r1 @ R @ S )
                                                                                                          | ! [T: $i] :
                                                                                                              ( ~ ( r1 @ S @ T )
                                                                                                              | ! [U: $i] :
                                                                                                                  ( ~ ( r1 @ T @ U )
                                                                                                                  | ! [V: $i] :
                                                                                                                      ( ~ ( r1 @ U @ V )
                                                                                                                      | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                        & ~ ( p2 @ 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 )
                                                                      | ~ ! [N: $i] :
                                                                            ( ~ ( r1 @ M @ N )
                                                                            | ! [O: $i] :
                                                                                ( ~ ( r1 @ N @ O )
                                                                                | ! [P: $i] :
                                                                                    ( ~ ( r1 @ O @ P )
                                                                                    | ~ ( ~ ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ! [R: $i] :
                                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                                    | ~ ! [S: $i] :
                                                                                                          ( ~ ( r1 @ R @ S )
                                                                                                          | ! [T: $i] :
                                                                                                              ( ~ ( r1 @ S @ T )
                                                                                                              | ! [U: $i] :
                                                                                                                  ( ~ ( r1 @ T @ U )
                                                                                                                  | ! [V: $i] :
                                                                                                                      ( ~ ( r1 @ U @ V )
                                                                                                                      | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                        & ~ ( 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 )
                                                                      | ~ ! [N: $i] :
                                                                            ( ~ ( r1 @ M @ N )
                                                                            | ! [O: $i] :
                                                                                ( ~ ( r1 @ N @ O )
                                                                                | ! [P: $i] :
                                                                                    ( ~ ( r1 @ O @ P )
                                                                                    | ~ ( ~ ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ! [R: $i] :
                                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                                    | ~ ! [S: $i] :
                                                                                                          ( ~ ( r1 @ R @ S )
                                                                                                          | ! [T: $i] :
                                                                                                              ( ~ ( r1 @ S @ T )
                                                                                                              | ! [U: $i] :
                                                                                                                  ( ~ ( r1 @ T @ U )
                                                                                                                  | ! [V: $i] :
                                                                                                                      ( ~ ( r1 @ U @ V )
                                                                                                                      | ~ ( p2 @ V ) ) ) ) ) ) )
                                                                                        & ~ ( 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 )
                                                                            | ~ ! [N: $i] :
                                                                                  ( ~ ( r1 @ M @ N )
                                                                                  | ! [O: $i] :
                                                                                      ( ~ ( r1 @ N @ O )
                                                                                      | ! [P: $i] :
                                                                                          ( ~ ( r1 @ O @ P )
                                                                                          | ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                & ~ ( p2 @ 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 )
                                                        | ! [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 )
                                                                                      | ! [P: $i] :
                                                                                          ( ~ ( r1 @ O @ P )
                                                                                          | ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                & ~ ( 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 )
                                                        | ! [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 )
                                                                                      | ! [P: $i] :
                                                                                          ( ~ ( r1 @ O @ P )
                                                                                          | ! [Q: $i] :
                                                                                              ( ~ ( r1 @ P @ Q )
                                                                                              | ~ ( p2 @ Q ) ) ) ) ) ) )
                                                                & ~ ( 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 )
                                                              | ! [K: $i] :
                                                                  ( ~ ( r1 @ J @ K )
                                                                  | ! [L: $i] :
                                                                      ( ~ ( r1 @ K @ L )
                                                                      | ~ ( p1 @ L ) ) ) ) ) ) )
                                        & ~ ( p2 @ F ) ) ) ) ) ) )
          | ~ ! [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 ) ) ) ) ) ) )
                                        & ~ ( p1 @ F ) ) ) ) ) ) )
          | ~ ! [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 )
                                                                      | ~ ( p2 @ L ) ) ) ) ) ) )
                                        & ~ ( p1 @ F ) ) ) ) ) ) )
          | ( ~ ! [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 ) ) ) ) ) ) )
            & ~ ( p2 @ A ) )
          | ( ~ ! [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 ) ) ) ) ) ) )
            & ~ ( p1 @ A ) )
          | ( ~ ! [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 )
                                          | ~ ( p2 @ G ) ) ) ) ) ) )
            & ~ ( p1 @ A ) )
          | ( p1 @ A ) ),
    file('/export/starexec/sandbox2/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 )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ! [Q: $i] :
                                                                                          ( ~ ( r1 @ P @ Q )
                                                                                          | ~ ! [R: $i] :
                                                                                                ( ~ ( r1 @ Q @ R )
                                                                                                | ~ ! [S: $i] :
                                                                                                      ( ~ ( r1 @ R @ S )
                                                                                                      | ! [T: $i] :
                                                                                                          ( ~ ( r1 @ S @ T )
                                                                                                          | ! [U: $i] :
                                                                                                              ( ~ ( r1 @ T @ U )
                                                                                                              | ( p1 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [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 )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( p2 @ 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 )
                                                                        | ~ ! [N: $i] :
                                                                              ( ~ ( r1 @ M @ N )
                                                                              | ! [O: $i] :
                                                                                  ( ~ ( r1 @ N @ O )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( 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 )
                                                                        | ~ ! [N: $i] :
                                                                              ( ~ ( r1 @ M @ N )
                                                                              | ! [O: $i] :
                                                                                  ( ~ ( r1 @ N @ O )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p2 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( 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 )
                                                                              | ~ ! [N: $i] :
                                                                                    ( ~ ( r1 @ M @ N )
                                                                                    | ! [O: $i] :
                                                                                        ( ~ ( r1 @ N @ O )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( p2 @ 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 )
                                                          | ! [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 )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( 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 )
                                                          | ! [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 )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p2 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( 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 )
                                                                | ! [K: $i] :
                                                                    ( ~ ( r1 @ J @ K )
                                                                    | ! [L: $i] :
                                                                        ( ~ ( r1 @ K @ L )
                                                                        | ~ ( p1 @ L ) ) ) ) ) ) )
                                          & ~ ( p2 @ F ) ) ) ) ) ) )
            | ~ ! [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 ) ) ) ) ) ) )
                                          & ~ ( p1 @ F ) ) ) ) ) ) )
            | ~ ! [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 )
                                                                        | ~ ( p2 @ L ) ) ) ) ) ) )
                                          & ~ ( p1 @ F ) ) ) ) ) ) )
            | ( ~ ! [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 ) ) ) ) ) ) )
              & ~ ( p2 @ A ) )
            | ( ~ ! [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 ) ) ) ) ) ) )
              & ~ ( p1 @ A ) )
            | ( ~ ! [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 )
                                            | ~ ( p2 @ G ) ) ) ) ) ) )
              & ~ ( p1 @ A ) )
            | ( p1 @ A ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,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 )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ! [Q: $i] :
                                                                                          ( ~ ( r1 @ P @ Q )
                                                                                          | ~ ! [R: $i] :
                                                                                                ( ~ ( r1 @ Q @ R )
                                                                                                | ~ ! [S: $i] :
                                                                                                      ( ~ ( r1 @ R @ S )
                                                                                                      | ! [T: $i] :
                                                                                                          ( ~ ( r1 @ S @ T )
                                                                                                          | ! [U: $i] :
                                                                                                              ( ~ ( r1 @ T @ U )
                                                                                                              | ( p1 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ! [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 )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( p2 @ 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 )
                                                                        | ~ ! [N: $i] :
                                                                              ( ~ ( r1 @ M @ N )
                                                                              | ! [O: $i] :
                                                                                  ( ~ ( r1 @ N @ O )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p1 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( 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 )
                                                                        | ~ ! [N: $i] :
                                                                              ( ~ ( r1 @ M @ N )
                                                                              | ! [O: $i] :
                                                                                  ( ~ ( r1 @ N @ O )
                                                                                  | ! [P: $i] :
                                                                                      ( ~ ( r1 @ O @ P )
                                                                                      | ~ ( ~ ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ! [R: $i] :
                                                                                                      ( ~ ( r1 @ Q @ R )
                                                                                                      | ~ ! [S: $i] :
                                                                                                            ( ~ ( r1 @ R @ S )
                                                                                                            | ! [T: $i] :
                                                                                                                ( ~ ( r1 @ S @ T )
                                                                                                                | ! [U: $i] :
                                                                                                                    ( ~ ( r1 @ T @ U )
                                                                                                                    | ! [V: $i] :
                                                                                                                        ( ~ ( r1 @ U @ V )
                                                                                                                        | ~ ( p2 @ V ) ) ) ) ) ) )
                                                                                          & ~ ( 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 )
                                                                              | ~ ! [N: $i] :
                                                                                    ( ~ ( r1 @ M @ N )
                                                                                    | ! [O: $i] :
                                                                                        ( ~ ( r1 @ N @ O )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( p2 @ 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 )
                                                          | ! [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 )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p1 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( 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 )
                                                          | ! [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 )
                                                                                        | ! [P: $i] :
                                                                                            ( ~ ( r1 @ O @ P )
                                                                                            | ! [Q: $i] :
                                                                                                ( ~ ( r1 @ P @ Q )
                                                                                                | ~ ( p2 @ Q ) ) ) ) ) ) )
                                                                  & ~ ( 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 )
                                                                | ! [K: $i] :
                                                                    ( ~ ( r1 @ J @ K )
                                                                    | ! [L: $i] :
                                                                        ( ~ ( r1 @ K @ L )
                                                                        | ~ ( p1 @ L ) ) ) ) ) ) )
                                          & ~ ( p2 @ F ) ) ) ) ) ) )
            | ~ ! [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 ) ) ) ) ) ) )
                                          & ~ ( p1 @ F ) ) ) ) ) ) )
            | ~ ! [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 )
                                                                        | ~ ( p2 @ L ) ) ) ) ) ) )
                                          & ~ ( p1 @ F ) ) ) ) ) ) )
            | ( ~ ! [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 ) ) ) ) ) ) )
              & ~ ( p2 @ A ) )
            | ( ~ ! [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 ) ) ) ) ) ) )
              & ~ ( p1 @ A ) )
            | ( ~ ! [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 )
                                            | ~ ( p2 @ G ) ) ) ) ) ) )
              & ~ ( p1 @ A ) )
            | ( p1 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i] : ( r1 @ A @ A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).

thf(97,plain,
    ! [A: $i] : ( r1 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(6732,plain,
    $false,
    inference(e,[status(thm)],[4,97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : LCL662+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n022.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Mon May 20 00:29:23 EDT 2024
% 0.15/0.37  % CPUTime  : 
% 0.96/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.44/1.09  % [INFO] 	 Parsing done (194ms). 
% 1.44/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.85/1.36  % [INFO] 	 eprover registered as external prover. 
% 1.85/1.36  % [INFO] 	 cvc4 registered as external prover. 
% 1.85/1.37  % [INFO] 	 Scanning for conjecture ... 
% 2.40/1.56  % [INFO] 	 Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ... 
% 2.40/1.62  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 2.62/1.62  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.62/1.64  % [INFO] 	 Type checking passed. 
% 2.62/1.64  % [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 ... 
% 61.10/13.68  % External prover 'e' found a proof!
% 61.10/13.68  % [INFO] 	 Killing All external provers ... 
% 61.10/13.69  % Time passed: 13135ms (effective reasoning time: 12583ms)
% 61.10/13.69  % 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)>
% 61.10/13.69  % Axioms used in derivation (1): reflexivity
% 61.10/13.69  % No. of inferences in proof: 6
% 61.10/13.69  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 13135 ms resp. 12583 ms w/o parsing
% 61.10/13.73  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 61.10/13.73  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------