%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NLP204+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 : n002.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 08:05:07 AM UTC 2026
% Result : Theorem 7.05s 13.31s
% Output : Refutation 7.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 55
% Syntax : Number of formulae : 112 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 396 ( 17 equ; 0 cnn)
% Maximal formula atoms : 48 ( 3 avg)
% Number of connectives : 1146 ( 28 ~; 3 |; 156 &; 834 @)
% ( 1 <=>; 124 =>; 0 <=; 0 <~>)
% Maximal formula depth : 54 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 65 ( 63 usr; 1 con; 0-4 aty)
% Number of variables : 301 ( 0 ^; 244 !; 57 ?; 301 :)
% Comments :
%------------------------------------------------------------------------------
thf(actual_world_decl,type,
actual_world: $i > $o ).
thf(of_decl,type,
of: $i > $i > $i > $o ).
thf(man_decl,type,
man: $i > $i > $o ).
thf(jules_forename_decl,type,
jules_forename: $i > $i > $o ).
thf(forename_decl,type,
forename: $i > $i > $o ).
thf(frontseat_decl,type,
frontseat: $i > $i > $o ).
thf(chevy_decl,type,
chevy: $i > $i > $o ).
thf(white_decl,type,
white: $i > $i > $o ).
thf(dirty_decl,type,
dirty: $i > $i > $o ).
thf(old_decl,type,
old: $i > $i > $o ).
thf(city_decl,type,
city: $i > $i > $o ).
thf(hollywood_placename_decl,type,
hollywood_placename: $i > $i > $o ).
thf(placename_decl,type,
placename: $i > $i > $o ).
thf(street_decl,type,
street: $i > $i > $o ).
thf(lonely_decl,type,
lonely: $i > $i > $o ).
thf(event_decl,type,
event: $i > $i > $o ).
thf(agent_decl,type,
agent: $i > $i > $i > $o ).
thf(present_decl,type,
present: $i > $i > $o ).
thf(barrel_decl,type,
barrel: $i > $i > $o ).
thf(down_decl,type,
down: $i > $i > $i > $o ).
thf(in_decl,type,
in: $i > $i > $i > $o ).
thf(member_decl,type,
member: $i > $i > $i > $o ).
thf(state_decl,type,
state: $i > $i > $o ).
thf(be_decl,type,
be: $i > $i > $i > $i > $o ).
thf(two_decl,type,
two: $i > $i > $o ).
thf(group_decl,type,
group: $i > $i > $o ).
thf(fellow_decl,type,
fellow: $i > $i > $o ).
thf(young_decl,type,
young: $i > $i > $o ).
thf(patient_decl,type,
patient: $i > $i > $i > $o ).
thf(nonreflexive_decl,type,
nonreflexive: $i > $i > $o ).
thf(wear_decl,type,
wear: $i > $i > $o ).
thf(coat_decl,type,
coat: $i > $i > $o ).
thf(black_decl,type,
black: $i > $i > $o ).
thf(cheap_decl,type,
cheap: $i > $i > $o ).
thf(wheel_decl,type,
wheel: $i > $i > $o ).
thf(behind_decl,type,
behind: $i > $i > $i > $o ).
thf(artifact_decl,type,
artifact: $i > $i > $o ).
thf(object_decl,type,
object: $i > $i > $o ).
thf(existent_decl,type,
existent: $i > $i > $o ).
thf(nonexistent_decl,type,
nonexistent: $i > $i > $o ).
thf(furniture_decl,type,
furniture: $i > $i > $o ).
thf(instrumentality_decl,type,
instrumentality: $i > $i > $o ).
thf(unisex_decl,type,
unisex: $i > $i > $o ).
thf(relname_decl,type,
relname: $i > $i > $o ).
thf(relation_decl,type,
relation: $i > $i > $o ).
thf(entity_decl,type,
entity: $i > $i > $o ).
thf(eventuality_decl,type,
eventuality: $i > $i > $o ).
thf(specific_decl,type,
specific: $i > $i > $o ).
thf(car_decl,type,
car: $i > $i > $o ).
thf(vehicle_decl,type,
vehicle: $i > $i > $o ).
thf(seat_decl,type,
seat: $i > $i > $o ).
thf(location_decl,type,
location: $i > $i > $o ).
thf(male_decl,type,
male: $i > $i > $o ).
thf(human_person_decl,type,
human_person: $i > $i > $o ).
thf(human_decl,type,
human: $i > $i > $o ).
thf(device_decl,type,
device: $i > $i > $o ).
thf(animate_decl,type,
animate: $i > $i > $o ).
thf(way_decl,type,
way: $i > $i > $o ).
thf(set_decl,type,
set: $i > $i > $o ).
thf(multiple_decl,type,
multiple: $i > $i > $o ).
thf(organism_decl,type,
organism: $i > $i > $o ).
thf(clothes_decl,type,
clothes: $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $i > $o ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ artifact ) )
=> ( B @ ( A @ object ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(115,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ artifact ) )
=> ( B @ ( A @ object ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ clothes ) )
=> ( B @ ( A @ artifact ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(153,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ clothes ) )
=> ( B @ ( A @ artifact ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(41,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ hollywood_placename ) )
=> ( B @ ( A @ placename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(193,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ hollywood_placename ) )
=> ( B @ ( A @ placename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(53,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ male ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(237,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ male ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ unisex ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(155,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ unisex ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ of ) ) )
& ( C @ ( A @ placename ) )
& ( B @ ( A @ entity ) ) )
=> ~ ? [D: $i] :
( ( B @ ( D @ ( A @ of ) ) )
& ( D != C )
& ( D @ ( A @ placename ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(232,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ of ) ) )
& ( C @ ( A @ placename ) )
& ( B @ ( A @ entity ) ) )
=> ~ ? [D: $i] :
( ( B @ ( D @ ( A @ of ) ) )
& ( D != C )
& ( D @ ( A @ placename ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(37,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ two ) )
=> ( B @ ( A @ group ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(184,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ two ) )
=> ( B @ ( A @ group ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ relname ) )
=> ( B @ ( A @ relation ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(125,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ relname ) )
=> ( B @ ( A @ relation ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(157,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(49,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ eventuality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(228,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ eventuality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(1,conjecture,
~ ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( L @ ( L @ ( A @ behind ) ) )
& ( L @ ( B @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( L @ ( A @ wheel ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ cheap ) )
& ( M @ ( A @ black ) )
& ( M @ ( A @ coat ) ) ) )
& ( J @ ( A @ group ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ! [N: $i] :
( ( I @ ( N @ ( A @ member ) ) )
=> ? [O: $i] :
( ( O @ ( A @ wear ) )
& ( O @ ( A @ nonreflexive ) )
& ( O @ ( A @ present ) )
& ( M @ ( O @ ( A @ patient ) ) )
& ( N @ ( O @ ( A @ agent ) ) )
& ( O @ ( A @ event ) ) ) ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ young ) )
& ( M @ ( A @ fellow ) ) ) )
& ( I @ ( A @ group ) )
& ( I @ ( A @ two ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ? [N: $i,O: $i] :
( ( D @ ( O @ ( A @ in ) ) )
& ( O @ ( M @ ( N @ ( A @ be ) ) ) )
& ( N @ ( A @ state ) ) ) )
& ( G @ ( H @ ( A @ in ) ) )
& ( G @ ( H @ ( A @ down ) ) )
& ( H @ ( A @ barrel ) )
& ( H @ ( A @ present ) )
& ( E @ ( H @ ( A @ agent ) ) )
& ( H @ ( A @ event ) )
& ( G @ ( A @ lonely ) )
& ( G @ ( A @ street ) )
& ( F @ ( A @ placename ) )
& ( F @ ( A @ hollywood_placename ) )
& ( G @ ( A @ city ) )
& ( G @ ( F @ ( A @ of ) ) )
& ( E @ ( A @ old ) )
& ( E @ ( A @ dirty ) )
& ( E @ ( A @ white ) )
& ( E @ ( A @ chevy ) )
& ( D @ ( A @ frontseat ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ jules_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ~ ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( L @ ( L @ ( A @ behind ) ) )
& ( L @ ( B @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( L @ ( A @ wheel ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ cheap ) )
& ( M @ ( A @ black ) )
& ( M @ ( A @ coat ) ) ) )
& ( J @ ( A @ group ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ! [N: $i] :
( ( I @ ( N @ ( A @ member ) ) )
=> ? [O: $i] :
( ( O @ ( A @ wear ) )
& ( O @ ( A @ nonreflexive ) )
& ( O @ ( A @ present ) )
& ( M @ ( O @ ( A @ patient ) ) )
& ( N @ ( O @ ( A @ agent ) ) )
& ( O @ ( A @ event ) ) ) ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ young ) )
& ( M @ ( A @ fellow ) ) ) )
& ( I @ ( A @ group ) )
& ( I @ ( A @ two ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ? [N: $i,O: $i] :
( ( D @ ( O @ ( A @ in ) ) )
& ( O @ ( M @ ( N @ ( A @ be ) ) ) )
& ( N @ ( A @ state ) ) ) )
& ( G @ ( H @ ( A @ in ) ) )
& ( G @ ( H @ ( A @ down ) ) )
& ( H @ ( A @ barrel ) )
& ( H @ ( A @ present ) )
& ( E @ ( H @ ( A @ agent ) ) )
& ( H @ ( A @ event ) )
& ( G @ ( A @ lonely ) )
& ( G @ ( A @ street ) )
& ( F @ ( A @ placename ) )
& ( F @ ( A @ hollywood_placename ) )
& ( G @ ( A @ city ) )
& ( G @ ( F @ ( A @ of ) ) )
& ( E @ ( A @ old ) )
& ( E @ ( A @ dirty ) )
& ( E @ ( A @ white ) )
& ( E @ ( A @ chevy ) )
& ( D @ ( A @ frontseat ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ jules_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(57,plain,
~ ~ ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( L @ ( L @ ( A @ behind ) ) )
& ( L @ ( B @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( L @ ( A @ wheel ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ cheap ) )
& ( M @ ( A @ black ) )
& ( M @ ( A @ coat ) ) ) )
& ( J @ ( A @ group ) )
& ! [M: $i] :
( ( J @ ( M @ ( A @ member ) ) )
=> ! [N: $i] :
( ( I @ ( N @ ( A @ member ) ) )
=> ? [O: $i] :
( ( O @ ( A @ wear ) )
& ( O @ ( A @ nonreflexive ) )
& ( O @ ( A @ present ) )
& ( M @ ( O @ ( A @ patient ) ) )
& ( N @ ( O @ ( A @ agent ) ) )
& ( O @ ( A @ event ) ) ) ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ( ( M @ ( A @ young ) )
& ( M @ ( A @ fellow ) ) ) )
& ( I @ ( A @ group ) )
& ( I @ ( A @ two ) )
& ! [M: $i] :
( ( I @ ( M @ ( A @ member ) ) )
=> ? [N: $i,O: $i] :
( ( D @ ( O @ ( A @ in ) ) )
& ( O @ ( M @ ( N @ ( A @ be ) ) ) )
& ( N @ ( A @ state ) ) ) )
& ( G @ ( H @ ( A @ in ) ) )
& ( G @ ( H @ ( A @ down ) ) )
& ( H @ ( A @ barrel ) )
& ( H @ ( A @ present ) )
& ( E @ ( H @ ( A @ agent ) ) )
& ( H @ ( A @ event ) )
& ( G @ ( A @ lonely ) )
& ( G @ ( A @ street ) )
& ( F @ ( A @ placename ) )
& ( F @ ( A @ hollywood_placename ) )
& ( G @ ( A @ city ) )
& ( G @ ( F @ ( A @ of ) ) )
& ( E @ ( A @ old ) )
& ( E @ ( A @ dirty ) )
& ( E @ ( A @ white ) )
& ( E @ ( A @ chevy ) )
& ( D @ ( A @ frontseat ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ jules_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(35,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(179,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ object ) )
=> ( B @ ( A @ unisex ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(121,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ object ) )
=> ( B @ ( A @ unisex ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ way ) )
=> ( B @ ( A @ artifact ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(147,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ way ) )
=> ( B @ ( A @ artifact ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(47,axiom,
! [A: $i] :
~ ? [B: $i] : ( B @ ( B @ ( A @ member ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(221,plain,
! [A: $i] :
~ ? [B: $i] : ( B @ ( B @ ( A @ member ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ seat ) )
=> ( B @ ( A @ furniture ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(133,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ seat ) )
=> ( B @ ( A @ furniture ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(56,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ group ) )
=> ( B @ ( A @ set ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(243,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ group ) )
=> ( B @ ( A @ set ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ existent ) )
=> ~ ( B @ ( A @ nonexistent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(117,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ existent ) )
=> ~ ( B @ ( A @ nonexistent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ two ) )
<=> ? [C: $i] :
( ? [D: $i] :
( ! [E: $i] :
( ( B @ ( E @ ( A @ member ) ) )
=> ( ( E = C )
| ( E = D ) ) )
& ( D != C )
& ( B @ ( D @ ( A @ member ) ) ) )
& ( B @ ( C @ ( A @ member ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(201,plain,
! [A: $i,B: $i] :
( ( ? [C: $i] :
( ? [D: $i] :
( ! [E: $i] :
( ( B @ ( E @ ( A @ member ) ) )
=> ( ( E = C )
| ( E = D ) ) )
& ( D != C )
& ( B @ ( D @ ( A @ member ) ) ) )
& ( B @ ( C @ ( A @ member ) ) ) )
=> ( B @ ( A @ two ) ) )
& ( ( B @ ( A @ two ) )
=> ? [C: $i] :
( ? [D: $i] :
( ! [E: $i] :
( ( B @ ( E @ ( A @ member ) ) )
=> ( ( E = C )
| ( E = D ) ) )
& ( D != C )
& ( B @ ( D @ ( A @ member ) ) ) )
& ( B @ ( C @ ( A @ member ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ unisex ) )
=> ~ ( B @ ( A @ male ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(137,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ unisex ) )
=> ~ ( B @ ( A @ male ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ object ) )
=> ( B @ ( A @ entity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(165,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ object ) )
=> ( B @ ( A @ entity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(43,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ wheel ) )
=> ( B @ ( A @ device ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(197,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ wheel ) )
=> ( B @ ( A @ device ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(48,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ patient ) ) )
& ( C @ ( B @ ( A @ agent ) ) )
& ( B @ ( A @ nonreflexive ) ) )
=> ( C != D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
thf(224,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( D @ ( B @ ( A @ patient ) ) )
& ( C @ ( B @ ( A @ agent ) ) )
& ( B @ ( A @ nonreflexive ) ) )
=> ( C != D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ barrel ) )
=> ( B @ ( A @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(188,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ barrel ) )
=> ( B @ ( A @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(30,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ jules_forename ) )
=> ( B @ ( A @ forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(169,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ jules_forename ) )
=> ( B @ ( A @ forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ nonexistent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(141,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ nonexistent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(32,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ white ) )
=> ~ ( B @ ( A @ black ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(173,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ white ) )
=> ~ ( B @ ( A @ black ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ specific ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(129,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ specific ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ specific ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(161,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ specific ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ set ) )
=> ( B @ ( A @ multiple ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(149,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ set ) )
=> ( B @ ( A @ multiple ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ of ) ) )
& ( C @ ( A @ forename ) )
& ( B @ ( A @ entity ) ) )
=> ~ ? [D: $i] :
( ( B @ ( D @ ( A @ of ) ) )
& ( D != C )
& ( D @ ( A @ forename ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(181,plain,
! [A: $i,B: $i,C: $i] :
( ( ( B @ ( C @ ( A @ of ) ) )
& ( C @ ( A @ forename ) )
& ( B @ ( A @ entity ) ) )
=> ~ ? [D: $i] :
( ( B @ ( D @ ( A @ of ) ) )
& ( D != C )
& ( D @ ( A @ forename ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ entity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(159,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ entity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(46,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ street ) )
=> ( B @ ( A @ way ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(219,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ street ) )
=> ( B @ ( A @ way ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(50,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ coat ) )
=> ( B @ ( A @ clothes ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(230,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ coat ) )
=> ( B @ ( A @ clothes ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ location ) )
=> ( B @ ( A @ object ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(135,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ location ) )
=> ( B @ ( A @ object ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(55,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ placename ) )
=> ( B @ ( A @ relname ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(241,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ placename ) )
=> ( B @ ( A @ relname ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ chevy ) )
=> ( B @ ( A @ car ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(167,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ chevy ) )
=> ( B @ ( A @ car ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ instrumentality ) )
=> ( B @ ( A @ artifact ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(123,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ instrumentality ) )
=> ( B @ ( A @ artifact ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ animate ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(145,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ animate ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(44,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ forename ) )
=> ( B @ ( A @ relname ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(199,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ forename ) )
=> ( B @ ( A @ relname ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(34,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ fellow ) )
=> ( B @ ( A @ man ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(177,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ fellow ) )
=> ( B @ ( A @ man ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ existent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(127,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ existent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(33,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ young ) )
=> ~ ( B @ ( A @ old ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(175,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ young ) )
=> ~ ( B @ ( A @ old ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ device ) )
=> ( B @ ( A @ instrumentality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(143,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ device ) )
=> ( B @ ( A @ instrumentality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(38,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ wear ) )
=> ( B @ ( A @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(186,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ wear ) )
=> ( B @ ( A @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ event ) )
=> ( B @ ( A @ eventuality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(171,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ event ) )
=> ( B @ ( A @ eventuality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ human ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(139,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ human ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ furniture ) )
=> ( B @ ( A @ instrumentality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(119,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ furniture ) )
=> ( B @ ( A @ instrumentality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(52,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ city ) )
=> ( B @ ( A @ location ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(235,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ city ) )
=> ( B @ ( A @ location ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ organism ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(151,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ organism ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ be ) ) ) )
=> ( C = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(190,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ be ) ) ) )
=> ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(54,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ frontseat ) )
=> ( B @ ( A @ seat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(239,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ frontseat ) )
=> ( B @ ( A @ seat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(42,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ human_person ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(195,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ human_person ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ car ) )
=> ( B @ ( A @ vehicle ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(131,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ car ) )
=> ( B @ ( A @ vehicle ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(163,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(245,plain,
$false,
inference(e,[status(thm)],[115,153,193,237,155,232,184,125,157,228,57,179,121,147,221,133,243,117,201,137,165,197,224,188,169,141,173,129,161,149,181,159,219,230,135,241,167,123,145,199,177,127,175,143,186,171,139,119,235,151,190,239,195,131,163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP204+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.08 % 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
% 0.16/10.43 % Computer : n002.cluster.edu
% 0.16/10.43 % Model : x86_64 x86_64
% 0.16/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43 % Memory : 8046.5625MB
% 0.16/10.43 % OS : Linux 6.8.0-71-generic
% 0.16/10.43 % CPULimit : 300
% 0.16/10.43 % WCLimit : 300
% 0.16/10.43 % DateTime : Sat Sep 26 01:27:02 UTC 2026
% 0.16/10.43 % CPUTime :
% 0.16/10.43 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
% 0.19/11.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.35/11.27 % [INFO] Parsing done (246ms).
% 1.35/11.28 % [INFO] Running in sequential loop mode.
% 2.32/11.69 % [INFO] eprover registered as external prover.
% 2.54/11.70 % [INFO] Scanning for conjecture ...
% 2.76/11.87 % [INFO] Found a conjecture (or negated_conjecture) and 71 axioms. Running axiom selection ...
% 2.97/12.00 % [INFO] Axiom selection finished. Selected 54 axioms (removed 17 axioms).
% 3.30/12.05 % [INFO] Problem is first-order (TPTP FOF).
% 3.30/12.06 % [INFO] Type checking passed.
% 3.30/12.07 % [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 ...
% 7.05/13.31 % External prover 'e' found a proof!
% 7.05/13.31 % [INFO] Killing All external provers ...
% 7.05/13.31 % Time passed: 2726ms (effective reasoning time: 2017ms)
% 7.05/13.31 % 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)>
% 7.05/13.31 % Axioms used in derivation (54): ax33, ax43, ax37, ax49, ax14, ax53, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax31, ax6, ax45, ax35, ax58, ax69, ax66, ax8, ax51, ax48, ax21, ax55, ax32, ax1, ax7, ax38, ax44, ax26, ax50, ax65, ax22, ax15, ax19, ax2, ax70, ax46, ax34, ax23, ax25, ax71, ax68, ax30, ax42, ax18, ax3, ax5, ax36, ax64, ax29
% 7.05/13.31 % No. of inferences in proof: 112
% 7.05/13.31 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2726 ms resp. 2017 ms w/o parsing
% 7.37/13.42 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.37/13.42 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------