%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : LCL644+1.005 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 00:06:42 EDT 2024
% Result : Theorem 5.03s 2.26s
% Output : Refutation 5.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of formulae : 11 ( 1 unt; 7 typ; 0 def)
% Number of atoms : 676 ( 0 equ; 0 cnn)
% Maximal formula atoms : 225 ( 169 avg)
% Number of connectives : 1985 ( 401 ~; 456 |; 216 &; 912 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 24 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 240 ( 0 ^ 237 !; 3 ?; 240 :)
% Comments :
%------------------------------------------------------------------------------
thf(r1_type,type,
r1: $i > $i > $o ).
thf(p6_type,type,
p6: $i > $o ).
thf(p5_type,type,
p5: $i > $o ).
thf(p4_type,type,
p4: $i > $o ).
thf(p3_type,type,
p3: $i > $o ).
thf(p2_type,type,
p2: $i > $o ).
thf(p1_type,type,
p1: $i > $o ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) ) )
| ( p5 @ C ) )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ( p5 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) ) )
| ( p4 @ C ) )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ( p4 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) ) )
| ( p3 @ C ) )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ( p3 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) ) )
| ( p2 @ C ) )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) ) )
| ( p5 @ C ) )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ( p5 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) ) )
| ( p4 @ C ) )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ( p4 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) ) )
| ( p3 @ C ) )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ( p3 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) ) )
| ( p2 @ C ) )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p6 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p6 @ D ) ) )
| ( p5 @ C ) )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) )
& ( p5 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p6 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p6 @ C ) ) )
| ( p5 @ B )
| ( p6 @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p5 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p5 @ D ) ) )
| ( p4 @ C ) )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) )
& ( p4 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p5 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) ) )
| ( p4 @ B )
| ( p5 @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) )
& ( p4 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p4 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p4 @ D ) ) )
| ( p3 @ C ) )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) )
& ( p3 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p4 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p4 @ C ) ) )
| ( p3 @ B )
| ( p4 @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) )
& ( p3 @ B ) ) ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p3 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p3 @ D ) ) )
| ( p2 @ C ) )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) )
& ( p2 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p3 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p3 @ C ) ) )
| ( p2 @ B )
| ( p3 @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) )
& ( p2 @ B ) ) ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p5 @ B )
| ~ ( ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p5 @ C ) )
& ( p5 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B ) )
| ! [B: $i] :
( ~ ( r1 @ A @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
| ~ ( ! [B: $i] :
( ~ ( r1 @ A @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ~ ( ( p2 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p2 @ D ) ) )
| ( p1 @ C ) )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C )
| ~ ( ( p1 @ C )
& ! [D: $i] :
( ~ ( r1 @ C @ D )
| ( p1 @ D ) )
& ( p1 @ C ) ) ) )
& ! [B: $i] :
( ~ ( r1 @ A @ B )
| ~ ( ( p2 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p2 @ C ) ) )
| ( p1 @ B )
| ( p2 @ B )
| ~ ( ( p1 @ B )
& ! [C: $i] :
( ~ ( r1 @ B @ C )
| ( p1 @ C ) )
& ( p1 @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(199,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL644+1.005 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n025.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.37 % CPULimit : 300
% 0.23/0.37 % WCLimit : 300
% 0.23/0.37 % DateTime : Mon May 20 01:57:24 EDT 2024
% 0.23/0.37 % CPUTime :
% 0.99/0.88 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/1.01 % [INFO] Parsing done (130ms).
% 1.26/1.02 % [INFO] Running in sequential loop mode.
% 1.86/1.26 % [INFO] eprover registered as external prover.
% 1.86/1.26 % [INFO] cvc4 registered as external prover.
% 1.86/1.27 % [INFO] Scanning for conjecture ...
% 2.17/1.42 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.40/1.46 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.40/1.46 % [INFO] Problem is first-order (TPTP FOF).
% 2.40/1.47 % [INFO] Type checking passed.
% 2.40/1.47 % [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 ...
% 5.03/2.26 % External prover 'e' found a proof!
% 5.03/2.26 % [INFO] Killing All external provers ...
% 5.03/2.26 % Time passed: 1717ms (effective reasoning time: 1237ms)
% 5.03/2.26 % 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)>
% 5.03/2.26 % Axioms used in derivation (0):
% 5.03/2.26 % No. of inferences in proof: 4
% 5.03/2.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1717 ms resp. 1237 ms w/o parsing
% 5.28/2.32 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.28/2.32 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------