%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n011.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 08:04:34 AM UTC 2026
% Result : Theorem 8.54s 3.61s
% Output : Refutation 9.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 9 unt; 0 typ; 8 def)
% Number of atoms : 760 ( 20 equ; 0 cnn)
% Maximal formula atoms : 86 ( 12 avg)
% Number of connectives : 1798 ( 333 ~; 336 |; 321 &; 800 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 10 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 26 ( 23 usr; 11 con; 0-2 aty)
% Number of variables : 127 ( 0 ^; 43 !; 76 ?; 127 :)
% ( 0 !>; 0 ?*; 0 @-; 8 @+)
% Comments :
%------------------------------------------------------------------------------
thf(hollywood_decl,type,
hollywood: $i > $o ).
thf(city_decl,type,
city: $i > $o ).
thf(event_decl,type,
event: $i > $o ).
thf(street_decl,type,
street: $i > $o ).
thf(way_decl,type,
way: $i > $o ).
thf(lonely_decl,type,
lonely: $i > $o ).
thf(chevy_decl,type,
chevy: $i > $o ).
thf(car_decl,type,
car: $i > $o ).
thf(white_decl,type,
white: $i > $o ).
thf(dirty_decl,type,
dirty: $i > $o ).
thf(old_decl,type,
old: $i > $o ).
thf(barrel_decl,type,
barrel: $i > $i > $o ).
thf(down_decl,type,
down: $i > $i > $o ).
thf(in_decl,type,
in: $i > $i > $o ).
thf(sk1_decl,type,
sk1: $o ).
thf(sk2_decl,type,
sk2: $i ).
thf(sk3_decl,type,
sk3: $i ).
thf(sk4_decl,type,
sk4: $i ).
thf(sk5_decl,type,
sk5: $i ).
thf(sk6_decl,type,
sk6: $i ).
thf(sk7_decl,type,
sk7: $i ).
thf(sk8_decl,type,
sk8: $i ).
thf(sk9_decl,type,
sk9: $i ).
thf(sk2_def,definition,
( sk2
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy ) )
& ( C @ lonely )
& ( C @ way )
& ( C @ street ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) ) ) ) ).
thf(sk3_def,definition,
( sk3
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( sk2 @ ( A @ in ) )
& ( B @ ( A @ down ) )
& ( C @ ( A @ barrel ) )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy ) )
& ( B @ lonely )
& ( B @ way )
& ( B @ street ) )
& ( A @ event ) ) ) ) ).
thf(sk4_def,definition,
( sk4
= ( @+[A: $i] :
( ? [B: $i] :
( ( sk2 @ ( sk3 @ in ) )
& ( A @ ( sk3 @ down ) )
& ( B @ ( sk3 @ barrel ) )
& ( B @ old )
& ( B @ dirty )
& ( B @ white )
& ( B @ car )
& ( B @ chevy ) )
& ( A @ lonely )
& ( A @ way )
& ( A @ street ) ) ) ) ).
thf(sk5_def,definition,
( sk5
= ( @+[A: $i] :
( ( sk2 @ ( sk3 @ in ) )
& ( sk4 @ ( sk3 @ down ) )
& ( A @ ( sk3 @ barrel ) )
& ( A @ old )
& ( A @ dirty )
& ( A @ white )
& ( A @ car )
& ( A @ chevy ) ) ) ) ).
thf(sk6_def,definition,
( sk6
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street ) )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) ) ) ) ).
thf(sk7_def,definition,
( sk7
= ( @+[A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ( sk6 @ ( A @ in ) )
& ( C @ ( A @ down ) )
& ( B @ ( A @ barrel ) )
& ( C @ lonely )
& ( C @ way )
& ( C @ street ) )
& ( B @ old )
& ( B @ dirty )
& ( B @ white )
& ( B @ car )
& ( B @ chevy ) )
& ( A @ event ) ) ) ) ).
thf(sk8_def,definition,
( sk8
= ( @+[A: $i] :
( ? [B: $i] :
( ( sk6 @ ( sk7 @ in ) )
& ( B @ ( sk7 @ down ) )
& ( A @ ( sk7 @ barrel ) )
& ( B @ lonely )
& ( B @ way )
& ( B @ street ) )
& ( A @ old )
& ( A @ dirty )
& ( A @ white )
& ( A @ car )
& ( A @ chevy ) ) ) ) ).
thf(sk9_def,definition,
( sk9
= ( @+[A: $i] :
( ( sk6 @ ( sk7 @ in ) )
& ( A @ ( sk7 @ down ) )
& ( sk8 @ ( sk7 @ barrel ) )
& ( A @ lonely )
& ( A @ way )
& ( A @ street ) ) ) ) ).
thf(1,conjecture,
( ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) )
& ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ( ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) )
& ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) )
& ( ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy )
& ( C @ lonely )
& ( C @ way )
& ( C @ street )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i,B: $i,C: $i,D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy )
& ( B @ event )
& ( A @ city )
& ( A @ hollywood ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ( ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street ) )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy ) )
& ( C @ lonely )
& ( C @ way )
& ( C @ street ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) ) )
& ( ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( C @ ( B @ down ) )
& ( D @ ( B @ barrel ) )
& ( D @ old )
& ( D @ dirty )
& ( D @ white )
& ( D @ car )
& ( D @ chevy ) )
& ( C @ lonely )
& ( C @ way )
& ( C @ street ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) )
=> ? [A: $i] :
( ? [B: $i] :
( ? [C: $i] :
( ? [D: $i] :
( ( A @ ( B @ in ) )
& ( D @ ( B @ down ) )
& ( C @ ( B @ barrel ) )
& ( D @ lonely )
& ( D @ way )
& ( D @ street ) )
& ( C @ old )
& ( C @ dirty )
& ( C @ white )
& ( C @ car )
& ( C @ chevy ) )
& ( B @ event ) )
& ( A @ city )
& ( A @ hollywood ) ) ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ~ ( E @ ( F @ in ) )
| ~ ( G @ ( F @ down ) )
| ~ ( H @ ( F @ barrel ) )
| ~ ( H @ old )
| ~ ( H @ dirty )
| ~ ( H @ white )
| ~ ( H @ car )
| ~ ( H @ chevy )
| ~ ( G @ lonely )
| ~ ( G @ way )
| ~ ( G @ street )
| ~ ( F @ event )
| ~ ( E @ city )
| ~ ( E @ hollywood )
| sk1 )
& ( ( sk6 @ ( sk7 @ in ) )
| sk1 )
& ( ( sk9 @ ( sk7 @ down ) )
| sk1 )
& ( ( sk8 @ ( sk7 @ barrel ) )
| sk1 )
& ( ( sk9 @ lonely )
| sk1 )
& ( ( sk9 @ way )
| sk1 )
& ( ( sk9 @ street )
| sk1 )
& ( ( sk8 @ old )
| sk1 )
& ( ( sk8 @ dirty )
| sk1 )
& ( ( sk8 @ white )
| sk1 )
& ( ( sk8 @ car )
| sk1 )
& ( ( sk8 @ chevy )
| sk1 )
& ( ( sk7 @ event )
| sk1 )
& ( ( sk6 @ city )
| sk1 )
& ( ( sk6 @ hollywood )
| sk1 )
& ( ~ sk1
| ~ ( A @ ( B @ in ) )
| ~ ( D @ ( B @ down ) )
| ~ ( C @ ( B @ barrel ) )
| ~ ( D @ lonely )
| ~ ( D @ way )
| ~ ( D @ street )
| ~ ( C @ old )
| ~ ( C @ dirty )
| ~ ( C @ white )
| ~ ( C @ car )
| ~ ( C @ chevy )
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood ) )
& ( ~ sk1
| ( sk2 @ ( sk3 @ in ) ) )
& ( ~ sk1
| ( sk4 @ ( sk3 @ down ) ) )
& ( ~ sk1
| ( sk5 @ ( sk3 @ barrel ) ) )
& ( ~ sk1
| ( sk5 @ old ) )
& ( ~ sk1
| ( sk5 @ dirty ) )
& ( ~ sk1
| ( sk5 @ white ) )
& ( ~ sk1
| ( sk5 @ car ) )
& ( ~ sk1
| ( sk5 @ chevy ) )
& ( ~ sk1
| ( sk4 @ lonely ) )
& ( ~ sk1
| ( sk4 @ way ) )
& ( ~ sk1
| ( sk4 @ street ) )
& ( ~ sk1
| ( sk3 @ event ) )
& ( ~ sk1
| ( sk2 @ city ) )
& ( ~ sk1
| ( sk2 @ hollywood ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(10,plain,
( ~ sk1
| ( sk3 @ event ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(14,plain,
( ~ sk1
| ( sk4 @ way ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(6,plain,
( ( sk8 @ white )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(9,plain,
( ~ sk1
| ( sk5 @ ( sk3 @ barrel ) ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(8,plain,
( ~ sk1
| ( sk5 @ chevy ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ sk1
| ~ ( A @ ( B @ in ) )
| ~ ( D @ ( B @ down ) )
| ~ ( C @ ( B @ barrel ) )
| ~ ( D @ lonely )
| ~ ( D @ way )
| ~ ( D @ street )
| ~ ( C @ old )
| ~ ( C @ dirty )
| ~ ( C @ white )
| ~ ( C @ car )
| ~ ( C @ chevy )
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(46,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk5 @ chevy )
!= ( C @ chevy ) )
| ~ sk1
| ~ ( A @ ( B @ in ) )
| ~ ( D @ ( B @ down ) )
| ~ ( C @ ( B @ barrel ) )
| ~ ( D @ lonely )
| ~ ( D @ way )
| ~ ( D @ street )
| ~ ( C @ old )
| ~ ( C @ dirty )
| ~ ( C @ white )
| ~ ( C @ car )
| ~ $true
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[8,30]) ).
thf(47,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( sk5 @ chevy )
!= ( C @ chevy ) )
| ~ ( A @ ( B @ in ) )
| ~ ( D @ ( B @ down ) )
| ~ ( C @ ( B @ barrel ) )
| ~ ( D @ lonely )
| ~ ( D @ way )
| ~ ( D @ street )
| ~ ( C @ old )
| ~ ( C @ dirty )
| ~ ( C @ white )
| ~ ( C @ car )
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(simp,[status(thm)],[46]) ).
thf(48,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ in ) )
| ~ ( C @ ( B @ down ) )
| ~ ( sk5 @ ( B @ barrel ) )
| ~ ( C @ lonely )
| ~ ( C @ way )
| ~ ( C @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[47:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk5 ))]]) ).
thf(49,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ in ) )
| ~ ( C @ ( B @ down ) )
| ~ ( sk5 @ ( B @ barrel ) )
| ~ ( C @ lonely )
| ~ ( C @ way )
| ~ ( C @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( B @ event )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(simp,[status(thm)],[48]) ).
thf(51,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ event )
!= ( B @ event ) )
| ~ ( A @ ( B @ in ) )
| ~ ( C @ ( B @ down ) )
| ~ ( sk5 @ ( B @ barrel ) )
| ~ ( C @ lonely )
| ~ ( C @ way )
| ~ ( C @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ $true
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[10,49]) ).
thf(52,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk3 @ event )
!= ( B @ event ) )
| ~ ( A @ ( B @ in ) )
| ~ ( C @ ( B @ down ) )
| ~ ( sk5 @ ( B @ barrel ) )
| ~ ( C @ lonely )
| ~ ( C @ way )
| ~ ( C @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(simp,[status(thm)],[51]) ).
thf(53,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( sk3 @ in ) )
| ~ ( B @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( B @ lonely )
| ~ ( B @ way )
| ~ ( B @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[52:[bind(A,$thf( A )),bind(B,$thf( sk3 ))]]) ).
thf(59,plain,
! [B: $i,A: $i] :
( ~ ( A @ ( sk3 @ in ) )
| ~ ( B @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( B @ lonely )
| ~ ( B @ way )
| ~ ( B @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(simp,[status(thm)],[53]) ).
thf(107,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ way )
!= ( B @ way ) )
| ~ ( A @ ( sk3 @ in ) )
| ~ ( B @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( B @ lonely )
| ~ $true
| ~ ( B @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[14,59]) ).
thf(108,plain,
! [B: $i,A: $i] :
( ( ( sk4 @ way )
!= ( B @ way ) )
| ~ ( A @ ( sk3 @ in ) )
| ~ ( B @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( B @ lonely )
| ~ ( B @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(simp,[status(thm)],[107]) ).
thf(109,plain,
! [A: $i] :
( ~ ( A @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ ( A @ hollywood )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[108:[bind(A,$thf( A )),bind(B,$thf( sk4 ))]]) ).
thf(13,plain,
( ( sk9 @ lonely )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(7,plain,
( ( sk8 @ ( sk7 @ barrel ) )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(18,plain,
( ~ sk1
| ( sk2 @ hollywood ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(11,plain,
( ( sk6 @ city )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(15,plain,
( ( sk8 @ old )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(24,plain,
( ~ sk1
| ( sk4 @ ( sk3 @ down ) ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(25,plain,
( ~ sk1
| ( sk4 @ street ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(20,plain,
( ( sk8 @ car )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(29,plain,
( ~ sk1
| ( sk2 @ ( sk3 @ in ) ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(28,plain,
( ( sk9 @ street )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(33,plain,
( ( sk6 @ ( sk7 @ in ) )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(17,plain,
( ( sk8 @ dirty )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(32,plain,
( ~ sk1
| ( sk5 @ old ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(34,plain,
( ~ sk1
| ( sk5 @ car ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(22,plain,
( ~ sk1
| ( sk2 @ city ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(27,plain,
( ~ sk1
| ( sk5 @ dirty ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(12,plain,
( ( sk9 @ ( sk7 @ down ) )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(35,plain,
( ( sk6 @ hollywood )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(16,plain,
( ( sk9 @ way )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(31,plain,
( ( sk8 @ chevy )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(26,plain,
( ( sk7 @ event )
| sk1 ),
inference(cnfConj,[status(thm)],[5]) ).
thf(23,plain,
( ~ sk1
| ( sk5 @ white ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(19,plain,
( ~ sk1
| ( sk4 @ lonely ) ),
inference(cnfConj,[status(thm)],[5]) ).
thf(142,plain,
! [A: $i] :
( ( ( sk2 @ hollywood )
!= ( A @ hollywood ) )
| ~ ( A @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ $true
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[18,109]) ).
thf(143,plain,
! [A: $i] :
( ( ( sk2 @ hollywood )
!= ( A @ hollywood ) )
| ~ ( A @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( A @ city )
| ~ sk1 ),
inference(simp,[status(thm)],[142]) ).
thf(144,plain,
( ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk5 @ ( sk3 @ barrel ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[143:[bind(A,$thf( sk2 ))]]) ).
thf(255,plain,
( ( ( sk5 @ ( sk3 @ barrel ) )
!= ( sk5 @ ( sk3 @ barrel ) ) )
| ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ $true
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[9,144]) ).
thf(256,plain,
( ( ( sk5 @ ( sk3 @ barrel ) )
!= ( sk5 @ ( sk3 @ barrel ) ) )
| ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1 ),
inference(simp,[status(thm)],[255]) ).
thf(257,plain,
( ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ ( sk3 @ down ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[256:[]]) ).
thf(371,plain,
( ( ( sk4 @ ( sk3 @ down ) )
!= ( sk4 @ ( sk3 @ down ) ) )
| ~ ( sk2 @ ( sk3 @ in ) )
| ~ $true
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1
| ~ sk1 ),
inference(paramod_ordered,[status(thm)],[24,257]) ).
thf(372,plain,
( ( ( sk4 @ ( sk3 @ down ) )
!= ( sk4 @ ( sk3 @ down ) ) )
| ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1 ),
inference(simp,[status(thm)],[371]) ).
thf(373,plain,
( ~ ( sk2 @ ( sk3 @ in ) )
| ~ ( sk4 @ lonely )
| ~ ( sk4 @ street )
| ~ ( sk5 @ old )
| ~ ( sk5 @ dirty )
| ~ ( sk5 @ white )
| ~ ( sk5 @ car )
| ~ ( sk2 @ city )
| ~ sk1 ),
inference(pattern_uni,[status(thm)],[372:[]]) ).
thf(582,plain,
$false,
inference(e,[status(thm)],[10,14,6,9,109,13,7,18,11,8,15,24,25,20,29,28,33,17,32,34,22,59,27,12,49,3,35,16,31,26,23,30,19,373]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP001+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sat Sep 26 00:21:29 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.88/0.99 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.27/1.18 % [INFO] Parsing done (190ms).
% 1.42/1.20 % [INFO] Running in sequential loop mode.
% 2.06/1.61 % [INFO] eprover registered as external prover.
% 2.06/1.61 % [INFO] Scanning for conjecture ...
% 2.26/1.75 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.48/1.80 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.48/1.80 % [INFO] Problem is first-order (TPTP FOF).
% 2.48/1.81 % [INFO] Type checking passed.
% 2.48/1.81 % [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 ...
% 8.54/3.60 % External prover 'e' found a proof!
% 8.54/3.60 % [INFO] Killing All external provers ...
% 8.54/3.61 % Time passed: 3058ms (effective reasoning time: 2402ms)
% 8.54/3.61 % 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)>
% 8.54/3.61 % Axioms used in derivation (0):
% 8.54/3.61 % No. of inferences in proof: 55
% 8.54/3.61 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3058 ms resp. 2402 ms w/o parsing
% 9.04/3.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.04/3.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------