%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 07:52:16 AM UTC 2026
% Result : Theorem 3.30s 6.72s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 19 ( 13 unt; 0 typ; 9 def)
% Number of atoms : 519 ( 9 equ; 0 cnn)
% Maximal formula atoms : 156 ( 27 avg)
% Number of connectives : 1367 ( 321 ~; 353 |; 138 &; 555 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 47 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 13 con; 0-2 aty)
% Number of variables : 142 ( 2 ^; 127 !; 4 ?; 142 :)
% ( 0 !>; 0 ?*; 0 @-; 9 @+)
% Comments :
%------------------------------------------------------------------------------
thf(r1_decl,type,
r1: $i > $i > $o ).
thf(p2_decl,type,
p2: $i > $o ).
thf(p1_decl,type,
p1: $i > $o ).
thf(sk1_decl,type,
sk1: $i ).
thf(sk2_decl,type,
sk2: $o ).
thf(sk3_decl,type,
sk3: $i > $i ).
thf(sk4_decl,type,
sk4: $o ).
thf(sk5_decl,type,
sk5: $i > $i ).
thf(sk6_decl,type,
sk6: $o ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $o ).
thf(sk10_decl,type,
sk10: $i ).
thf(sk11_decl,type,
sk11: $i ).
thf(sk12_decl,type,
sk12: $i ).
thf(sk13_decl,type,
sk13: $i ).
thf(sk1_def,definition,
( sk1
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( ^ [A: $i] :
@+[B: $i] :
~ ( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
~ ( ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk7 @ r1 ) ) ) ) ) ).
thf(sk10_def,definition,
( sk10
= ( @+[A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk11_def,definition,
( sk11
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ~ ( A @ ( sk10 @ r1 ) ) ) ) ) ).
thf(sk12_def,definition,
( sk12
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p1 ) )
| ( A @ p2 )
| ( A @ p1 )
| ~ ( ! [B: $i] :
( ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
& ( A @ p2 ) )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(sk13_def,definition,
( sk13
= ( @+[A: $i] :
~ ( ~ ( ( A @ p1 )
& ! [B: $i] :
( ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) ) )
| ( A @ p1 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ) ) ).
thf(1,conjecture,
~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ~ ? [A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
? [A: $i] :
~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
~ ! [A: $i] :
( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) ) )
| ( B @ p1 )
| ~ ( B @ ( A @ r1 ) ) )
| ~ ( ~ ( ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ! [C: $i] :
( ~ ( ( C @ p1 )
& ! [D: $i] :
( ( D @ p1 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p1 ) )
| ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
| ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) )
& ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ! [C: $i] :
( ( C @ p1 )
| ~ ( ! [D: $i] :
( ( D @ p2 )
| ~ ( D @ ( C @ r1 ) ) )
& ( C @ p2 ) )
| ~ ( C @ ( B @ r1 ) ) )
| ~ ( B @ ( A @ r1 ) ) ) )
| ! [B: $i] :
( ~ ( ( B @ p1 )
& ! [C: $i] :
( ( C @ p1 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p1 ) )
| ( B @ p2 )
| ~ ( B @ ( A @ r1 ) ) )
| ! [B: $i] :
( ( B @ p1 )
| ~ ( ! [C: $i] :
( ( C @ p2 )
| ~ ( C @ ( B @ r1 ) ) )
& ( B @ p2 ) )
| ~ ( B @ ( A @ r1 ) ) ) ) ),
inference(miniscope,[status(thm)],[4]) ).
thf(6,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( sk13 @ p1 )
& ( ( I @ p1 )
| ~ ( I @ ( sk13 @ r1 ) ) )
& ~ ( sk13 @ p1 )
& ( sk13 @ ( sk1 @ r1 ) )
& ( ( sk12 @ p1 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( H @ p1 )
| ~ ( H @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p1 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p2 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ ( sk12 @ p1 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( G @ p2 )
| ~ ( G @ ( sk12 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ p2 )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ( sk12 @ ( sk1 @ r1 ) )
| sk9
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p1 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( F @ p1 )
| ~ ( F @ ( sk11 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ p1 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk11 @ p2 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk11 @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ~ ( sk10 @ p1 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( E @ p2 )
| ~ ( E @ ( sk10 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ p2 )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk9
| ( sk10 @ ( sk1 @ r1 ) )
| sk6
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p1 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( D @ p1 )
| ~ ( D @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ p1 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk7 @ p2 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ~ ( sk8 @ p1 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( C @ p2 )
| ~ ( C @ ( sk8 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ p2 )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk8 @ ( sk7 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( ~ sk6
| ( sk7 @ ( sk1 @ r1 ) )
| ~ sk4
| ~ sk2 )
& ( sk4
| ~ ( B @ p1 )
| ~ ( B @ sk5 @ p1 )
| ~ ( B @ p1 )
| ( B @ p2 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk4
| ~ ( B @ p1 )
| ( B @ sk5 @ ( B @ r1 ) )
| ~ ( B @ p1 )
| ( B @ p2 )
| ~ ( B @ ( sk1 @ r1 ) )
| ~ sk2 )
& ( sk2
| ( A @ p1 )
| ~ ( A @ sk3 @ p2 )
| ~ ( A @ p2 )
| ~ ( A @ ( sk1 @ r1 ) ) )
& ( sk2
| ( A @ p1 )
| ( A @ sk3 @ ( A @ r1 ) )
| ~ ( A @ p2 )
| ~ ( A @ ( sk1 @ r1 ) ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(36,plain,
~ ( sk13 @ p1 ),
inference(cnfConj,[status(thm)],[6]) ).
thf(22,plain,
sk13 @ p1,
inference(cnfConj,[status(thm)],[6]) ).
thf(47,plain,
~ $true,
inference(rewrite,[status(thm)],[36,22]) ).
thf(48,plain,
$false,
inference(simp,[status(thm)],[47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL644+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.12/5.41 % Computer : n003.cluster.edu
% 0.12/5.41 % Model : x86_64 x86_64
% 0.12/5.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.41 % Memory : 8046.5625MB
% 0.12/5.41 % OS : Linux 6.8.0-71-generic
% 0.12/5.41 % CPULimit : 300
% 0.12/5.41 % WCLimit : 300
% 0.12/5.41 % DateTime : Fri Sep 25 22:55:59 UTC 2026
% 0.12/5.41 % CPUTime :
% 0.12/5.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.17/5.70 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.17/5.80 % [INFO] Parsing done (97ms).
% 0.17/5.80 % [INFO] Running in sequential loop mode.
% 0.17/5.99 % [INFO] eprover registered as external prover.
% 0.17/5.99 % [INFO] Scanning for conjecture ...
% 1.48/6.05 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.48/6.07 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.48/6.07 % [INFO] Problem is first-order (TPTP FOF).
% 1.48/6.08 % [INFO] Type checking passed.
% 1.48/6.08 % [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 ...
% 3.30/6.71 % [INFO] Killing All external provers ...
% 3.30/6.72 % Time passed: 1216ms (effective reasoning time: 907ms)
% 3.30/6.72 % 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)>
% 3.30/6.72 % Axioms used in derivation (0):
% 3.30/6.72 % No. of inferences in proof: 10
% 3.30/6.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1216 ms resp. 907 ms w/o parsing
% 3.61/6.84 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.61/6.84 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------