%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : LCL640+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 14.46s 3.92s
% Output : Refutation 14.54s
% 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 : 718 ( 0 equ; 0 cnn)
% Maximal formula atoms : 239 ( 179 avg)
% Number of connectives : 2576 ( 680 ~; 666 |; 48 &;1182 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 32 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 : 468 ( 0 ^; 465 !; 3 ?; 468 :)
% 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 )
| ( ( ( 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 )
| ( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [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 )
| ( ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ~ ( p1 @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ 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 )
| ( p1 @ I ) )
| ~ ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) )
| ~ ( ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( p1 @ I ) ) ) ) )
& ( ( 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 ) ) )
& ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p1 @ I )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) ) ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( 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 )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ! [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 ) ) ) ) ) ) ) ) )
& ! [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/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 )
| ( ( ( 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 )
| ( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [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 )
| ( ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ~ ( p1 @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ 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 )
| ( p1 @ I ) )
| ~ ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) )
| ~ ( ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( p1 @ I ) ) ) ) )
& ( ( 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 ) ) )
& ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p1 @ I )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) ) ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( 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 )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ! [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 ) ) ) ) ) ) ) ) )
& ! [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 )
| ( ( ( 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 )
| ( ( ( 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 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ! [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 )
| ( ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ~ ( p1 @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ 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 )
| ( p1 @ I ) )
| ~ ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) )
| ~ ( ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( p1 @ I ) ) ) ) )
& ( ( 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 ) ) )
& ( ! [H: $i] :
( ~ ( r1 @ G @ H )
| ! [I: $i] :
( ~ ( r1 @ H @ I )
| ( p1 @ I )
| ~ ! [J: $i] :
( ~ ( r1 @ I @ J )
| ! [K: $i] :
( ~ ( r1 @ J @ K )
| ( p1 @ K ) )
| ~ ( p1 @ J ) ) ) )
| ~ ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H )
| ~ ! [I: $i] :
( ~ ( r1 @ H @ I )
| ! [J: $i] :
( ~ ( r1 @ I @ J )
| ( p1 @ J ) )
| ~ ( 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 )
| ! [G: $i] :
( ~ ( r1 @ F @ G )
| ! [H: $i] :
( ~ ( r1 @ G @ H )
| ( p1 @ H ) )
| ! [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 ) ) ) ) ) ) ) ) )
& ! [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(2361,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL640+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n004.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 15:58:40 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.95/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.39/1.08 % [INFO] Parsing done (161ms).
% 1.55/1.09 % [INFO] Running in sequential loop mode.
% 1.88/1.28 % [INFO] eprover registered as external prover.
% 1.88/1.28 % [INFO] cvc4 registered as external prover.
% 1.88/1.28 % [INFO] Scanning for conjecture ...
% 2.22/1.41 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 2.40/1.45 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.40/1.45 % [INFO] Problem is first-order (TPTP FOF).
% 2.40/1.46 % [INFO] Type checking passed.
% 2.40/1.46 % [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 ...
% 14.46/3.91 % External prover 'e' found a proof!
% 14.46/3.91 % [INFO] Killing All external provers ...
% 14.46/3.92 % Time passed: 3362ms (effective reasoning time: 2824ms)
% 14.46/3.92 % 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)>
% 14.46/3.92 % Axioms used in derivation (0):
% 14.46/3.92 % No. of inferences in proof: 4
% 14.46/3.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3362 ms resp. 2824 ms w/o parsing
% 14.54/3.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 14.54/3.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------