%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : NLP252+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 : n015.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 08:05:15 AM UTC 2026
% Result : Theorem 6.85s 3.29s
% Output : Refutation 7.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 72
% Syntax : Number of formulae : 146 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 573 ( 6 equ; 0 cnn)
% Maximal formula atoms : 66 ( 3 avg)
% Number of connectives : 1666 ( 20 ~; 0 |; 279 &;1219 @)
% ( 0 <=>; 148 =>; 0 <=; 0 <~>)
% Maximal formula depth : 58 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 38 ( 36 usr; 1 con; 0-4 aty)
% Number of variables : 456 ( 0 ^; 382 !; 74 ?; 456 :)
% 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(vincent_forename_decl,type,
vincent_forename: $i > $i > $o ).
thf(forename_decl,type,
forename: $i > $i > $o ).
thf(proposition_decl,type,
proposition: $i > $i > $o ).
thf(agent_decl,type,
agent: $i > $i > $i > $o ).
thf(theme_decl,type,
theme: $i > $i > $i > $o ).
thf(event_decl,type,
event: $i > $i > $o ).
thf(present_decl,type,
present: $i > $i > $o ).
thf(think_believe_consider_decl,type,
think_believe_consider: $i > $i > $o ).
thf(accessible_world_decl,type,
accessible_world: $i > $i > $o ).
thf(smoke_decl,type,
smoke: $i > $i > $o ).
thf(jules_forename_decl,type,
jules_forename: $i > $i > $o ).
thf(state_decl,type,
state: $i > $i > $o ).
thf(be_decl,type,
be: $i > $i > $i > $i > $o ).
thf(thing_decl,type,
thing: $i > $i > $o ).
thf(singleton_decl,type,
singleton: $i > $i > $o ).
thf(eventuality_decl,type,
eventuality: $i > $i > $o ).
thf(entity_decl,type,
entity: $i > $i > $o ).
thf(existent_decl,type,
existent: $i > $i > $o ).
thf(relname_decl,type,
relname: $i > $i > $o ).
thf(relation_decl,type,
relation: $i > $i > $o ).
thf(organism_decl,type,
organism: $i > $i > $o ).
thf(unisex_decl,type,
unisex: $i > $i > $o ).
thf(human_person_decl,type,
human_person: $i > $i > $o ).
thf(human_decl,type,
human: $i > $i > $o ).
thf(nonhuman_decl,type,
nonhuman: $i > $i > $o ).
thf(specific_decl,type,
specific: $i > $i > $o ).
thf(abstraction_decl,type,
abstraction: $i > $i > $o ).
thf(impartial_decl,type,
impartial: $i > $i > $o ).
thf(nonexistent_decl,type,
nonexistent: $i > $i > $o ).
thf(living_decl,type,
living: $i > $i > $o ).
thf(male_decl,type,
male: $i > $i > $o ).
thf(general_decl,type,
general: $i > $i > $o ).
thf(animate_decl,type,
animate: $i > $i > $o ).
thf(20,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ unisex ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
thf(138,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ unisex ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(22,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ specific ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
thf(142,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ specific ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ agent ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ agent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
thf(152,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ agent ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ agent ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(64,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ think_believe_consider ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ think_believe_consider ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
thf(229,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ think_believe_consider ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ think_believe_consider ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(37,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ organism ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ organism ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
thf(173,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ organism ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ organism ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(10,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ nonhuman ) )
=> ~ ( B @ ( A @ human ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
thf(118,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ nonhuman ) )
=> ~ ( B @ ( A @ human ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(26,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ animate ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
thf(150,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ animate ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(39,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ forename ) )
=> ( B @ ( A @ relname ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
thf(177,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ forename ) )
=> ( B @ ( A @ relname ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(32,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ nonhuman ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ nonhuman ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
thf(163,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ nonhuman ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ nonhuman ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(58,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ present ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ present ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
thf(217,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ present ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ present ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(11,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ specific ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
thf(120,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ specific ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ singleton ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ singleton ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
thf(247,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ singleton ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ singleton ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(6,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ relname ) )
=> ( B @ ( A @ relation ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
thf(110,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ relname ) )
=> ( B @ ( A @ relation ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(48,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ human_person ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
thf(196,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ human_person ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(40,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ existent ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ existent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
thf(179,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ existent ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ existent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ jules_forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ jules_forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
thf(211,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ jules_forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ jules_forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(4,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
thf(106,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(60,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ proposition ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ proposition ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
thf(221,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ proposition ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ proposition ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(17,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
thf(132,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
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,M: $i] :
( ? [N: $i] :
( ( N @ ( M @ smoke ) )
& ( N @ ( M @ present ) )
& ( J @ ( N @ ( M @ agent ) ) )
& ( N @ ( M @ event ) ) )
& ( M @ ( A @ accessible_world ) )
& ( L @ ( A @ think_believe_consider ) )
& ( L @ ( A @ present ) )
& ( L @ ( A @ event ) )
& ( M @ ( L @ ( A @ theme ) ) )
& ( B @ ( L @ ( A @ agent ) ) )
& ( M @ ( A @ proposition ) )
& ( J @ ( J @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( J @ ( A @ man ) )
& ( I @ ( A @ forename ) )
& ( I @ ( A @ jules_forename ) )
& ( J @ ( A @ man ) )
& ( J @ ( I @ ( A @ of ) ) )
& ! [N: $i] :
( ( N @ ( H @ man ) )
=> ? [O: $i] :
( ( O @ ( H @ smoke ) )
& ( O @ ( H @ present ) )
& ( N @ ( O @ ( H @ agent ) ) )
& ( O @ ( H @ event ) ) ) )
& ( H @ ( A @ accessible_world ) )
& ( G @ ( A @ think_believe_consider ) )
& ( G @ ( A @ present ) )
& ( G @ ( A @ event ) )
& ( H @ ( G @ ( A @ theme ) ) )
& ( E @ ( G @ ( A @ agent ) ) )
& ( H @ ( A @ proposition ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ vincent_forename ) )
& ( E @ ( A @ man ) )
& ( E @ ( F @ ( A @ of ) ) )
& ( D @ ( A @ forename ) )
& ( D @ ( A @ jules_forename ) )
& ( J @ ( D @ ( A @ of ) ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) )
& ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( G @ ( G @ ( H @ ( A @ be ) ) ) )
& ( H @ ( A @ state ) )
& ( G @ ( A @ man ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ jules_forename ) )
& ( G @ ( A @ man ) )
& ( G @ ( F @ ( A @ of ) ) )
& ! [I: $i] :
( ( I @ ( E @ man ) )
=> ? [J: $i] :
( ( J @ ( E @ smoke ) )
& ( J @ ( E @ present ) )
& ( I @ ( J @ ( E @ agent ) ) )
& ( J @ ( E @ event ) ) ) )
& ( E @ ( A @ accessible_world ) )
& ( D @ ( A @ think_believe_consider ) )
& ( D @ ( A @ present ) )
& ( D @ ( A @ event ) )
& ( E @ ( D @ ( A @ theme ) ) )
& ( B @ ( D @ ( A @ agent ) ) )
& ( E @ ( A @ proposition ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_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,M: $i] :
( ? [N: $i] :
( ( N @ ( M @ smoke ) )
& ( N @ ( M @ present ) )
& ( J @ ( N @ ( M @ agent ) ) )
& ( N @ ( M @ event ) ) )
& ( M @ ( A @ accessible_world ) )
& ( L @ ( A @ think_believe_consider ) )
& ( L @ ( A @ present ) )
& ( L @ ( A @ event ) )
& ( M @ ( L @ ( A @ theme ) ) )
& ( B @ ( L @ ( A @ agent ) ) )
& ( M @ ( A @ proposition ) )
& ( J @ ( J @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( J @ ( A @ man ) )
& ( I @ ( A @ forename ) )
& ( I @ ( A @ jules_forename ) )
& ( J @ ( A @ man ) )
& ( J @ ( I @ ( A @ of ) ) )
& ! [N: $i] :
( ( N @ ( H @ man ) )
=> ? [O: $i] :
( ( O @ ( H @ smoke ) )
& ( O @ ( H @ present ) )
& ( N @ ( O @ ( H @ agent ) ) )
& ( O @ ( H @ event ) ) ) )
& ( H @ ( A @ accessible_world ) )
& ( G @ ( A @ think_believe_consider ) )
& ( G @ ( A @ present ) )
& ( G @ ( A @ event ) )
& ( H @ ( G @ ( A @ theme ) ) )
& ( E @ ( G @ ( A @ agent ) ) )
& ( H @ ( A @ proposition ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ vincent_forename ) )
& ( E @ ( A @ man ) )
& ( E @ ( F @ ( A @ of ) ) )
& ( D @ ( A @ forename ) )
& ( D @ ( A @ jules_forename ) )
& ( J @ ( D @ ( A @ of ) ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) )
& ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( G @ ( G @ ( H @ ( A @ be ) ) ) )
& ( H @ ( A @ state ) )
& ( G @ ( A @ man ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ jules_forename ) )
& ( G @ ( A @ man ) )
& ( G @ ( F @ ( A @ of ) ) )
& ! [I: $i] :
( ( I @ ( E @ man ) )
=> ? [J: $i] :
( ( J @ ( E @ smoke ) )
& ( J @ ( E @ present ) )
& ( I @ ( J @ ( E @ agent ) ) )
& ( J @ ( E @ event ) ) ) )
& ( E @ ( A @ accessible_world ) )
& ( D @ ( A @ think_believe_consider ) )
& ( D @ ( A @ present ) )
& ( D @ ( A @ event ) )
& ( E @ ( D @ ( A @ theme ) ) )
& ( B @ ( D @ ( A @ agent ) ) )
& ( E @ ( A @ proposition ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(74,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,M: $i] :
( ? [N: $i] :
( ( N @ ( M @ smoke ) )
& ( N @ ( M @ present ) )
& ( J @ ( N @ ( M @ agent ) ) )
& ( N @ ( M @ event ) ) )
& ( M @ ( A @ accessible_world ) )
& ( L @ ( A @ think_believe_consider ) )
& ( L @ ( A @ present ) )
& ( L @ ( A @ event ) )
& ( M @ ( L @ ( A @ theme ) ) )
& ( B @ ( L @ ( A @ agent ) ) )
& ( M @ ( A @ proposition ) )
& ( J @ ( J @ ( K @ ( A @ be ) ) ) )
& ( K @ ( A @ state ) )
& ( J @ ( A @ man ) )
& ( I @ ( A @ forename ) )
& ( I @ ( A @ jules_forename ) )
& ( J @ ( A @ man ) )
& ( J @ ( I @ ( A @ of ) ) )
& ! [N: $i] :
( ( N @ ( H @ man ) )
=> ? [O: $i] :
( ( O @ ( H @ smoke ) )
& ( O @ ( H @ present ) )
& ( N @ ( O @ ( H @ agent ) ) )
& ( O @ ( H @ event ) ) ) )
& ( H @ ( A @ accessible_world ) )
& ( G @ ( A @ think_believe_consider ) )
& ( G @ ( A @ present ) )
& ( G @ ( A @ event ) )
& ( H @ ( G @ ( A @ theme ) ) )
& ( E @ ( G @ ( A @ agent ) ) )
& ( H @ ( A @ proposition ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ vincent_forename ) )
& ( E @ ( A @ man ) )
& ( E @ ( F @ ( A @ of ) ) )
& ( D @ ( A @ forename ) )
& ( D @ ( A @ jules_forename ) )
& ( J @ ( D @ ( A @ of ) ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) )
& ? [A: $i] :
( ? [B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( G @ ( G @ ( H @ ( A @ be ) ) ) )
& ( H @ ( A @ state ) )
& ( G @ ( A @ man ) )
& ( F @ ( A @ forename ) )
& ( F @ ( A @ jules_forename ) )
& ( G @ ( A @ man ) )
& ( G @ ( F @ ( A @ of ) ) )
& ! [I: $i] :
( ( I @ ( E @ man ) )
=> ? [J: $i] :
( ( J @ ( E @ smoke ) )
& ( J @ ( E @ present ) )
& ( I @ ( J @ ( E @ agent ) ) )
& ( J @ ( E @ event ) ) ) )
& ( E @ ( A @ accessible_world ) )
& ( D @ ( A @ think_believe_consider ) )
& ( D @ ( A @ present ) )
& ( D @ ( A @ event ) )
& ( E @ ( D @ ( A @ theme ) ) )
& ( B @ ( D @ ( A @ agent ) ) )
& ( E @ ( A @ proposition ) )
& ( C @ ( A @ forename ) )
& ( C @ ( A @ vincent_forename ) )
& ( B @ ( A @ man ) )
& ( B @ ( C @ ( A @ of ) ) ) )
& ( A @ actual_world ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ human ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
thf(116,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ human ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(71,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ entity ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ entity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
thf(243,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ entity ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ entity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(66,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ eventuality ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ eventuality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
thf(233,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ eventuality ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ eventuality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(50,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ human_person ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ human_person ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
thf(201,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ human_person ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ human_person ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( A @ ( D @ be ) ) ) )
& ( E @ ( D @ accessible_world ) ) )
=> ( C @ ( B @ ( A @ ( E @ be ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
thf(192,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( ( C @ ( B @ ( A @ ( D @ be ) ) ) )
& ( E @ ( D @ accessible_world ) ) )
=> ( C @ ( B @ ( A @ ( E @ be ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(33,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ vincent_forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ vincent_forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
thf(165,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ vincent_forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ vincent_forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(29,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
thf(156,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(44,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ smoke ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ smoke ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
thf(188,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ smoke ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ smoke ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(35,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ abstraction ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ abstraction ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
thf(169,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ abstraction ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ abstraction ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(13,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ relation ) )
=> ( B @ ( A @ abstraction ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
thf(124,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ relation ) )
=> ( B @ ( A @ abstraction ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(62,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ impartial ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ impartial ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
thf(225,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ impartial ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ impartial ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ living ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
thf(134,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ living ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(52,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ unisex ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ unisex ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
thf(205,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ unisex ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ unisex ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(15,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ impartial ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
thf(128,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ impartial ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(68,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ male ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ male ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
thf(237,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ male ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ male ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(25,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ specific ) )
=> ~ ( B @ ( A @ general ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
thf(148,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ specific ) )
=> ~ ( B @ ( A @ general ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(31,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ male ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
thf(161,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ man ) )
=> ( B @ ( A @ male ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(23,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ general ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
thf(144,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ general ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ man ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ man ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
thf(181,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ man ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ man ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(59,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ thing ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
thf(219,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ thing ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(72,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ eventuality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
thf(245,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ state ) )
=> ( B @ ( A @ eventuality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(21,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ existent ) )
=> ~ ( B @ ( A @ nonexistent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
thf(140,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ existent ) )
=> ~ ( B @ ( A @ nonexistent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ of ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ of ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
thf(213,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ of ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ of ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(49,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ be ) ) ) )
=> ( C = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
thf(198,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( D @ ( C @ ( B @ ( A @ be ) ) ) )
=> ( C = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(5,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ existent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
thf(108,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ existent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ nonexistent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
thf(130,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ nonexistent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(61,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ jules_forename ) )
=> ( B @ ( A @ forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
thf(223,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ jules_forename ) )
=> ( B @ ( A @ forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(70,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ living ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ living ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
thf(241,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ living ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ living ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(34,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ relname ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ relname ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
thf(167,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ relname ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ relname ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(54,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ animate ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ animate ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
thf(209,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ animate ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ animate ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(7,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ entity ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
thf(112,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ organism ) )
=> ( B @ ( A @ entity ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(47,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ proposition ) )
=> ( B @ ( A @ relation ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
thf(194,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ proposition ) )
=> ( B @ ( A @ relation ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(28,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ event ) )
=> ( B @ ( A @ eventuality ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
thf(154,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ event ) )
=> ( B @ ( A @ eventuality ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(38,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ relation ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ relation ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
thf(175,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ relation ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ relation ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(65,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ nonexistent ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ nonexistent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
thf(231,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ nonexistent ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ nonexistent ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(51,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ general ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ general ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
thf(203,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ general ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ general ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(3,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ thing ) )
=> ( B @ ( A @ singleton ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
thf(104,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ thing ) )
=> ( B @ ( A @ singleton ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D @ ( C @ ( A @ agent ) ) )
& ( F @ ( C @ ( A @ theme ) ) )
& ( F @ ( A @ proposition ) )
& ( C @ ( A @ think_believe_consider ) )
& ( D @ ( B @ ( A @ agent ) ) )
& ( E @ ( B @ ( A @ theme ) ) )
& ( E @ ( A @ proposition ) )
& ( B @ ( A @ think_believe_consider ) ) )
=> ( E = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
thf(158,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( D @ ( C @ ( A @ agent ) ) )
& ( F @ ( C @ ( A @ theme ) ) )
& ( F @ ( A @ proposition ) )
& ( C @ ( A @ think_believe_consider ) )
& ( D @ ( B @ ( A @ agent ) ) )
& ( E @ ( B @ ( A @ theme ) ) )
& ( E @ ( A @ proposition ) )
& ( B @ ( A @ think_believe_consider ) ) )
=> ( E = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(43,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ state ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ state ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
thf(186,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ state ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ state ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(8,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ unisex ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
thf(114,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ eventuality ) )
=> ( B @ ( A @ unisex ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ specific ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ specific ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
thf(171,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ specific ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ specific ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(67,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ theme ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ theme ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
thf(235,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( B @ ( A @ ( C @ theme ) ) )
& ( D @ ( C @ accessible_world ) ) )
=> ( B @ ( A @ ( D @ theme ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(53,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ event ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
thf(207,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ event ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(24,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ nonhuman ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
thf(146,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ abstraction ) )
=> ( B @ ( A @ nonhuman ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(45,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ vincent_forename ) )
=> ( B @ ( A @ forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
thf(190,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ vincent_forename ) )
=> ( B @ ( A @ forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(42,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',ax69) ).
thf(183,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)],[42]) ).
thf(69,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ forename ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
thf(239,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ forename ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ forename ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(14,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ organism ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
thf(126,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ human_person ) )
=> ( B @ ( A @ organism ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(19,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ unisex ) )
=> ~ ( B @ ( A @ male ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
thf(136,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ unisex ) )
=> ~ ( B @ ( A @ male ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(63,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ human ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ human ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
thf(227,plain,
! [A: $i,B: $i,C: $i] :
( ( ( A @ ( B @ human ) )
& ( C @ ( B @ accessible_world ) ) )
=> ( A @ ( C @ human ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(12,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ thing ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
thf(122,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ entity ) )
=> ( B @ ( A @ thing ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(57,axiom,
! [A: $i,B: $i] :
( ( B @ ( A @ smoke ) )
=> ( B @ ( A @ event ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
thf(215,plain,
! [A: $i,B: $i] :
( ( B @ ( A @ smoke ) )
=> ( B @ ( A @ event ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(257,plain,
$false,
inference(e,[status(thm)],[138,142,152,229,173,118,150,177,163,217,120,247,110,196,179,211,106,221,132,74,116,243,233,201,192,165,156,188,169,124,225,134,205,128,237,148,161,144,181,219,245,140,213,198,108,130,223,241,167,209,112,194,154,175,231,203,104,158,186,114,171,235,207,146,190,183,239,126,136,227,122,215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP252+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
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 01:50:12 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 0.87/0.97 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.49/1.22 % [INFO] Parsing done (251ms).
% 1.49/1.24 % [INFO] Running in sequential loop mode.
% 2.40/1.64 % [INFO] eprover registered as external prover.
% 2.40/1.65 % [INFO] Scanning for conjecture ...
% 2.87/1.83 % [INFO] Found a conjecture (or negated_conjecture) and 71 axioms. Running axiom selection ...
% 3.08/1.96 % [INFO] Axiom selection finished. Selected 71 axioms (removed 0 axioms).
% 3.39/2.04 % [INFO] Problem is first-order (TPTP FOF).
% 3.39/2.06 % [INFO] Type checking passed.
% 3.39/2.06 % [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 ...
% 6.85/3.29 % External prover 'e' found a proof!
% 6.85/3.29 % [INFO] Killing All external provers ...
% 6.85/3.29 % Time passed: 2768ms (effective reasoning time: 2046ms)
% 6.85/3.29 % 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)>
% 6.85/3.29 % Axioms used in derivation (71): ax13, ax39, ax59, ax33, ax43, ax37, ax14, ax12, ax53, ax20, ax52, ax67, ax24, ax63, ax56, ax4, ax47, ax41, ax31, ax28, ax9, ax17, ax6, ax45, ax40, ax35, ax58, ax69, ax27, ax66, ax8, ax51, ax48, ax21, ax62, ax10, ax55, ax32, ax16, ax1, ax7, ax38, ax44, ax26, ax61, ax11, ax50, ax65, ax22, ax15, ax19, ax2, ax70, ax54, ax49, ax46, ax34, ax23, ax25, ax60, ax71, ax57, ax68, ax30, ax42, ax18, ax3, ax5, ax36, ax64, ax29
% 6.85/3.29 % No. of inferences in proof: 146
% 6.85/3.29 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2768 ms resp. 2046 ms w/o parsing
% 7.45/3.36 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.45/3.36 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------