%------------------------------------------------------------------------------
% 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 : n005.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 08:04:35 AM UTC 2026
% Result : Unsatisfiable 4.09s 2.40s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 30
% Syntax : Number of formulae : 61 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 157 ( 0 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 310 ( 78 ~; 96 |; 0 &; 136 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 23 usr; 10 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 16 !; 0 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(hollywood_decl,type,
hollywood: $i > $o ).
thf(skc15_decl,type,
skc15: $i ).
thf(event_decl,type,
event: $i > $o ).
thf(skc14_decl,type,
skc14: $i ).
thf(street_decl,type,
street: $i > $o ).
thf(skc13_decl,type,
skc13: $i ).
thf(old_decl,type,
old: $i > $o ).
thf(skc12_decl,type,
skc12: $i ).
thf(skc11_decl,type,
skc11: $i ).
thf(skc10_decl,type,
skc10: $i ).
thf(chevy_decl,type,
chevy: $i > $o ).
thf(skc9_decl,type,
skc9: $i ).
thf(lonely_decl,type,
lonely: $i > $o ).
thf(skc8_decl,type,
skc8: $i ).
thf(ssSkC0_decl,type,
ssSkC0: $o ).
thf(car_decl,type,
car: $i > $o ).
thf(white_decl,type,
white: $i > $o ).
thf(dirty_decl,type,
dirty: $i > $o ).
thf(way_decl,type,
way: $i > $o ).
thf(city_decl,type,
city: $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(27,negated_conjecture,
( ( skc8 @ ( skc10 @ down ) )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
thf(56,plain,
( ( skc8 @ ( skc10 @ down ) )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(29,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ssSkC0
| ~ ( D @ hollywood )
| ~ ( D @ city )
| ~ ( D @ ( C @ in ) )
| ~ ( A @ ( C @ down ) )
| ~ ( B @ ( C @ barrel ) )
| ~ ( C @ event )
| ~ ( B @ chevy )
| ~ ( B @ car )
| ~ ( B @ white )
| ~ ( B @ dirty )
| ~ ( B @ old )
| ~ ( A @ lonely )
| ~ ( A @ way )
| ~ ( A @ street ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
thf(52,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ssSkC0
| ~ ( D @ hollywood )
| ~ ( D @ city )
| ~ ( D @ ( C @ in ) )
| ~ ( A @ ( C @ down ) )
| ~ ( B @ ( C @ barrel ) )
| ~ ( C @ event )
| ~ ( B @ chevy )
| ~ ( B @ car )
| ~ ( B @ white )
| ~ ( B @ dirty )
| ~ ( B @ old )
| ~ ( A @ lonely )
| ~ ( A @ way )
| ~ ( A @ street ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(19,negated_conjecture,
( ( skc9 @ dirty )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
thf(60,plain,
( ( skc9 @ dirty )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(28,negated_conjecture,
( ( skc11 @ ( skc10 @ in ) )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
thf(53,plain,
( ( skc11 @ ( skc10 @ in ) )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(7,negated_conjecture,
skc9 @ chevy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
thf(41,plain,
skc9 @ chevy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(17,negated_conjecture,
( ( skc8 @ way )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
thf(39,plain,
( ( skc8 @ way )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(6,negated_conjecture,
skc10 @ event,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
thf(35,plain,
skc10 @ event,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(15,negated_conjecture,
( ( skc15 @ city )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
thf(48,plain,
( ( skc15 @ city )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(18,negated_conjecture,
( ( skc9 @ old )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
thf(43,plain,
( ( skc9 @ old )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,negated_conjecture,
( ( skc12 @ ( skc14 @ barrel ) )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
thf(58,plain,
( ( skc12 @ ( skc14 @ barrel ) )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(4,negated_conjecture,
skc12 @ old,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(47,plain,
skc12 @ old,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(3,negated_conjecture,
skc13 @ street,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(42,plain,
skc13 @ street,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(13,negated_conjecture,
( ( skc13 @ lonely )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
thf(37,plain,
( ( skc13 @ lonely )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(8,negated_conjecture,
skc8 @ lonely,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
thf(46,plain,
skc8 @ lonely,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(26,negated_conjecture,
( ( skc9 @ ( skc10 @ barrel ) )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
thf(57,plain,
( ( skc9 @ ( skc10 @ barrel ) )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(2,negated_conjecture,
skc14 @ event,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(38,plain,
skc14 @ event,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(14,negated_conjecture,
( ( skc13 @ way )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
thf(33,plain,
( ( skc13 @ way )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,negated_conjecture,
( ( skc12 @ white )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
thf(45,plain,
( ( skc12 @ white )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(10,negated_conjecture,
( ( skc12 @ car )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
thf(32,plain,
( ( skc12 @ car )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
skc15 @ hollywood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(34,plain,
skc15 @ hollywood,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(16,negated_conjecture,
( ( skc8 @ street )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
thf(44,plain,
( ( skc8 @ street )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(30,negated_conjecture,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssSkC0
| ~ ( D @ hollywood )
| ~ ( D @ city )
| ~ ( D @ ( C @ in ) )
| ~ ( B @ ( C @ down ) )
| ~ ( A @ ( C @ barrel ) )
| ~ ( C @ event )
| ~ ( B @ street )
| ~ ( B @ way )
| ~ ( B @ lonely )
| ~ ( A @ old )
| ~ ( A @ dirty )
| ~ ( A @ white )
| ~ ( A @ car )
| ~ ( A @ chevy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
thf(59,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ssSkC0
| ~ ( D @ hollywood )
| ~ ( D @ city )
| ~ ( D @ ( C @ in ) )
| ~ ( B @ ( C @ down ) )
| ~ ( A @ ( C @ barrel ) )
| ~ ( C @ event )
| ~ ( B @ street )
| ~ ( B @ way )
| ~ ( B @ lonely )
| ~ ( A @ old )
| ~ ( A @ dirty )
| ~ ( A @ white )
| ~ ( A @ car )
| ~ ( A @ chevy ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(21,negated_conjecture,
( ( skc9 @ car )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
thf(54,plain,
( ( skc9 @ car )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(24,negated_conjecture,
( ( skc13 @ ( skc14 @ down ) )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
thf(49,plain,
( ( skc13 @ ( skc14 @ down ) )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(25,negated_conjecture,
( ( skc15 @ ( skc14 @ in ) )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
thf(50,plain,
( ( skc15 @ ( skc14 @ in ) )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(5,negated_conjecture,
skc11 @ hollywood,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(31,plain,
skc11 @ hollywood,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,negated_conjecture,
( ( skc12 @ dirty )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
thf(40,plain,
( ( skc12 @ dirty )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(22,negated_conjecture,
( ( skc11 @ city )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
thf(55,plain,
( ( skc11 @ city )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(9,negated_conjecture,
( ( skc12 @ chevy )
| ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
thf(36,plain,
( ( skc12 @ chevy )
| ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,negated_conjecture,
( ( skc9 @ white )
| ~ ssSkC0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
thf(51,plain,
( ( skc9 @ white )
| ~ ssSkC0 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(83,plain,
$false,
inference(e,[status(thm)],[56,52,60,53,41,39,35,48,43,58,47,42,37,46,57,38,33,45,32,34,44,59,54,49,50,31,40,55,36,51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP001-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % 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
% 0.11/0.37 % Computer : n005.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 00:21:02 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.90/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.31/1.15 % [INFO] Parsing done (196ms).
% 1.31/1.16 % [INFO] Running in sequential loop mode.
% 1.93/1.57 % [INFO] eprover registered as external prover.
% 1.93/1.58 % [INFO] Scanning for conjecture ...
% 2.32/1.72 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.32/1.79 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.32/1.79 % [INFO] Problem is propositional (TPTP CNF).
% 2.32/1.79 % [INFO] Type checking passed.
% 2.32/1.80 % [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 ...
% 4.09/2.40 % External prover 'e' found a proof!
% 4.09/2.40 % [INFO] Killing All external provers ...
% 4.09/2.40 % Time passed: 1889ms (effective reasoning time: 1230ms)
% 4.09/2.40 % Axioms used in derivation (0):
% 4.09/2.40 % No. of inferences in proof: 61
% 4.09/2.40 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1889 ms resp. 1230 ms w/o parsing
% 4.09/2.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.09/2.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------