TSTP Solution File: NLP141+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NLP141+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:50:25 EDT 2023
% Result : Theorem 6.43s 2.40s
% Output : CNFRefutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 83
% Syntax : Number of formulae : 121 ( 11 unt; 70 typ; 0 def)
% Number of atoms : 121 ( 8 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 106 ( 36 ~; 28 |; 27 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 134 ( 64 >; 70 *; 0 +; 0 <<)
% Number of predicates : 61 ( 59 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 85 (; 75 !; 10 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ be > of > member > in > down > agent > young > white > way > vehicle > unisex > two > transport > thing > street > state > specific > singleton > set > seat > relname > relation > present > placename > organism > old > object > nonliving > nonhuman > nonexistent > multiple > man > male > lonely > location > living > instrumentality > impartial > human_person > human > hollywood_placename > group > general > furniture > frontseat > fellow > existent > eventuality > event > entity > dirty > city > chevy > car > barrel > artifact > animate > abstraction > actual_world > #nlpp > #skF_7 > #skF_3 > #skF_5 > #skF_10 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_11 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(nonliving,type,
nonliving: ( $i * $i ) > $o ).
tff(two,type,
two: ( $i * $i ) > $o ).
tff(relation,type,
relation: ( $i * $i ) > $o ).
tff(frontseat,type,
frontseat: ( $i * $i ) > $o ).
tff(placename,type,
placename: ( $i * $i ) > $o ).
tff(member,type,
member: ( $i * $i * $i ) > $o ).
tff(be,type,
be: ( $i * $i * $i * $i ) > $o ).
tff(living,type,
living: ( $i * $i ) > $o ).
tff(human_person,type,
human_person: ( $i * $i ) > $o ).
tff(present,type,
present: ( $i * $i ) > $o ).
tff(seat,type,
seat: ( $i * $i ) > $o ).
tff(in,type,
in: ( $i * $i * $i ) > $o ).
tff(old,type,
old: ( $i * $i ) > $o ).
tff(dirty,type,
dirty: ( $i * $i ) > $o ).
tff(entity,type,
entity: ( $i * $i ) > $o ).
tff(city,type,
city: ( $i * $i ) > $o ).
tff(eventuality,type,
eventuality: ( $i * $i ) > $o ).
tff(existent,type,
existent: ( $i * $i ) > $o ).
tff(abstraction,type,
abstraction: ( $i * $i ) > $o ).
tff(relname,type,
relname: ( $i * $i ) > $o ).
tff(singleton,type,
singleton: ( $i * $i ) > $o ).
tff(young,type,
young: ( $i * $i ) > $o ).
tff(male,type,
male: ( $i * $i ) > $o ).
tff(multiple,type,
multiple: ( $i * $i ) > $o ).
tff(organism,type,
organism: ( $i * $i ) > $o ).
tff(animate,type,
animate: ( $i * $i ) > $o ).
tff(of,type,
of: ( $i * $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': $i ).
tff(location,type,
location: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff(actual_world,type,
actual_world: $i > $o ).
tff(agent,type,
agent: ( $i * $i * $i ) > $o ).
tff(instrumentality,type,
instrumentality: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': $i ).
tff(group,type,
group: ( $i * $i ) > $o ).
tff(artifact,type,
artifact: ( $i * $i ) > $o ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff(lonely,type,
lonely: ( $i * $i ) > $o ).
tff(fellow,type,
fellow: ( $i * $i ) > $o ).
tff(general,type,
general: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': $i ).
tff(nonhuman,type,
nonhuman: ( $i * $i ) > $o ).
tff(event,type,
event: ( $i * $i ) > $o ).
tff(down,type,
down: ( $i * $i * $i ) > $o ).
tff(hollywood_placename,type,
hollywood_placename: ( $i * $i ) > $o ).
tff(white,type,
white: ( $i * $i ) > $o ).
tff(transport,type,
transport: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff(nonexistent,type,
nonexistent: ( $i * $i ) > $o ).
tff(barrel,type,
barrel: ( $i * $i ) > $o ).
tff(state,type,
state: ( $i * $i ) > $o ).
tff(thing,type,
thing: ( $i * $i ) > $o ).
tff(street,type,
street: ( $i * $i ) > $o ).
tff('#skF_8',type,
'#skF_8': $i ).
tff(human,type,
human: ( $i * $i ) > $o ).
tff(man,type,
man: ( $i * $i ) > $o ).
tff(car,type,
car: ( $i * $i ) > $o ).
tff(furniture,type,
furniture: ( $i * $i ) > $o ).
tff('#skF_4',type,
'#skF_4': $i ).
tff(unisex,type,
unisex: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(set,type,
set: ( $i * $i ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(impartial,type,
impartial: ( $i * $i ) > $o ).
tff(object,type,
object: ( $i * $i ) > $o ).
tff(chevy,type,
chevy: ( $i * $i ) > $o ).
tff(specific,type,
specific: ( $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i * $i ) > $i ).
tff(vehicle,type,
vehicle: ( $i * $i ) > $o ).
tff(way,type,
way: ( $i * $i ) > $o ).
tff(f_364,negated_conjecture,
~ ~ ? [U] :
( actual_world(U)
& ? [V,W,X,Y,Z] :
( chevy(U,V)
& white(U,V)
& dirty(U,V)
& old(U,V)
& of(U,W,X)
& city(U,X)
& hollywood_placename(U,W)
& placename(U,W)
& street(U,X)
& lonely(U,X)
& event(U,Y)
& agent(U,Y,V)
& present(U,Y)
& barrel(U,Y)
& down(U,Y,X)
& in(U,Y,X)
& ! [X1] :
( member(U,X1,Z)
=> ? [X2,X3] :
( frontseat(U,X3)
& state(U,X2)
& be(U,X2,X1,X3)
& in(U,X3,X3) ) )
& two(U,Z)
& group(U,Z)
& ! [X4] :
( member(U,X4,Z)
=> ( fellow(U,X4)
& young(U,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_300,axiom,
! [U,V] :
( two(U,V)
<=> ? [W] :
( member(U,W,V)
& ? [X] :
( member(U,X,V)
& ( X != W )
& ! [Y] :
( member(U,Y,V)
=> ( ( Y = X )
| ( Y = W ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
tff(f_223,axiom,
! [U,V] :
( fellow(U,V)
=> man(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
tff(f_219,axiom,
! [U,V] :
( man(U,V)
=> human_person(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
tff(f_179,axiom,
! [U,V] :
( human_person(U,V)
=> animate(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
tff(f_282,axiom,
! [U,V,W,X] :
( be(U,V,W,X)
=> ( W = X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
tff(f_39,axiom,
! [U,V] :
( frontseat(U,V)
=> seat(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f_35,axiom,
! [U,V] :
( seat(U,V)
=> furniture(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f_31,axiom,
! [U,V] :
( furniture(U,V)
=> instrumentality(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f_111,axiom,
! [U,V] :
( instrumentality(U,V)
=> artifact(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
tff(f_107,axiom,
! [U,V] :
( artifact(U,V)
=> object(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
tff(f_99,axiom,
! [U,V] :
( object(U,V)
=> nonliving(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
tff(f_228,axiom,
! [U,V] :
( animate(U,V)
=> ~ nonliving(U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
tff(c_138,plain,
two('#skF_4','#skF_9'),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_509,plain,
! [U_354,V_355] :
( member(U_354,'#skF_2'(U_354,V_355),V_355)
| ~ two(U_354,V_355) ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_176,plain,
! [X4_179] :
( fellow('#skF_4',X4_179)
| ~ member('#skF_4',X4_179,'#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_517,plain,
( fellow('#skF_4','#skF_2'('#skF_4','#skF_9'))
| ~ two('#skF_4','#skF_9') ),
inference(resolution,[status(thm)],[c_509,c_176]) ).
tff(c_527,plain,
fellow('#skF_4','#skF_2'('#skF_4','#skF_9')),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_517]) ).
tff(c_296,plain,
! [U_268,V_269] :
( man(U_268,V_269)
| ~ fellow(U_268,V_269) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_96,plain,
! [U_95,V_96] :
( human_person(U_95,V_96)
| ~ man(U_95,V_96) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_412,plain,
! [U_323,V_324] :
( human_person(U_323,V_324)
| ~ fellow(U_323,V_324) ),
inference(resolution,[status(thm)],[c_296,c_96]) ).
tff(c_76,plain,
! [U_75,V_76] :
( animate(U_75,V_76)
| ~ human_person(U_75,V_76) ),
inference(cnfTransformation,[status(thm)],[f_179]) ).
tff(c_708,plain,
! [U_416,V_417] :
( animate(U_416,V_417)
| ~ fellow(U_416,V_417) ),
inference(resolution,[status(thm)],[c_412,c_76]) ).
tff(c_715,plain,
animate('#skF_4','#skF_2'('#skF_4','#skF_9')),
inference(resolution,[status(thm)],[c_527,c_708]) ).
tff(c_126,plain,
! [U_124,V_125] :
( member(U_124,'#skF_2'(U_124,V_125),V_125)
| ~ two(U_124,V_125) ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_180,plain,
! [X1_176] :
( be('#skF_4','#skF_10'(X1_176),X1_176,'#skF_11'(X1_176))
| ~ member('#skF_4',X1_176,'#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_379,plain,
! [X_304,W_305,U_306,V_307] :
( ( X_304 = W_305 )
| ~ be(U_306,V_307,W_305,X_304) ),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_383,plain,
! [X1_176] :
( ( '#skF_11'(X1_176) = X1_176 )
| ~ member('#skF_4',X1_176,'#skF_9') ),
inference(resolution,[status(thm)],[c_180,c_379]) ).
tff(c_513,plain,
( ( '#skF_11'('#skF_2'('#skF_4','#skF_9')) = '#skF_2'('#skF_4','#skF_9') )
| ~ two('#skF_4','#skF_9') ),
inference(resolution,[status(thm)],[c_509,c_383]) ).
tff(c_524,plain,
'#skF_11'('#skF_2'('#skF_4','#skF_9')) = '#skF_2'('#skF_4','#skF_9'),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_513]) ).
tff(c_184,plain,
! [X1_176] :
( frontseat('#skF_4','#skF_11'(X1_176))
| ~ member('#skF_4',X1_176,'#skF_9') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_868,plain,
( frontseat('#skF_4','#skF_2'('#skF_4','#skF_9'))
| ~ member('#skF_4','#skF_2'('#skF_4','#skF_9'),'#skF_9') ),
inference(superposition,[status(thm),theory(equality)],[c_524,c_184]) ).
tff(c_937,plain,
~ member('#skF_4','#skF_2'('#skF_4','#skF_9'),'#skF_9'),
inference(splitLeft,[status(thm)],[c_868]) ).
tff(c_967,plain,
~ two('#skF_4','#skF_9'),
inference(resolution,[status(thm)],[c_126,c_937]) ).
tff(c_971,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138,c_967]) ).
tff(c_972,plain,
frontseat('#skF_4','#skF_2'('#skF_4','#skF_9')),
inference(splitRight,[status(thm)],[c_868]) ).
tff(c_6,plain,
! [U_5,V_6] :
( seat(U_5,V_6)
| ~ frontseat(U_5,V_6) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_275,plain,
! [U_260,V_261] :
( furniture(U_260,V_261)
| ~ seat(U_260,V_261) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_279,plain,
! [U_5,V_6] :
( furniture(U_5,V_6)
| ~ frontseat(U_5,V_6) ),
inference(resolution,[status(thm)],[c_6,c_275]) ).
tff(c_359,plain,
! [U_296,V_297] :
( instrumentality(U_296,V_297)
| ~ furniture(U_296,V_297) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_42,plain,
! [U_41,V_42] :
( artifact(U_41,V_42)
| ~ instrumentality(U_41,V_42) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_494,plain,
! [U_348,V_349] :
( artifact(U_348,V_349)
| ~ furniture(U_348,V_349) ),
inference(resolution,[status(thm)],[c_359,c_42]) ).
tff(c_498,plain,
! [U_5,V_6] :
( artifact(U_5,V_6)
| ~ frontseat(U_5,V_6) ),
inference(resolution,[status(thm)],[c_279,c_494]) ).
tff(c_978,plain,
artifact('#skF_4','#skF_2'('#skF_4','#skF_9')),
inference(resolution,[status(thm)],[c_972,c_498]) ).
tff(c_247,plain,
! [U_237,V_238] :
( object(U_237,V_238)
| ~ artifact(U_237,V_238) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_36,plain,
! [U_35,V_36] :
( nonliving(U_35,V_36)
| ~ object(U_35,V_36) ),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_403,plain,
! [U_321,V_322] :
( nonliving(U_321,V_322)
| ~ artifact(U_321,V_322) ),
inference(resolution,[status(thm)],[c_247,c_36]) ).
tff(c_100,plain,
! [U_99,V_100] :
( ~ nonliving(U_99,V_100)
| ~ animate(U_99,V_100) ),
inference(cnfTransformation,[status(thm)],[f_228]) ).
tff(c_411,plain,
! [U_321,V_322] :
( ~ animate(U_321,V_322)
| ~ artifact(U_321,V_322) ),
inference(resolution,[status(thm)],[c_403,c_100]) ).
tff(c_984,plain,
~ animate('#skF_4','#skF_2'('#skF_4','#skF_9')),
inference(resolution,[status(thm)],[c_978,c_411]) ).
tff(c_989,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_715,c_984]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NLP141+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 12:59:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 6.43/2.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.43/2.41
% 6.43/2.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.43/2.45
% 6.43/2.45 Inference rules
% 6.43/2.45 ----------------------
% 6.43/2.45 #Ref : 0
% 6.43/2.45 #Sup : 157
% 6.43/2.45 #Fact : 0
% 6.43/2.45 #Define : 0
% 6.43/2.45 #Split : 3
% 6.43/2.45 #Chain : 0
% 6.43/2.45 #Close : 0
% 6.43/2.45
% 6.43/2.45 Ordering : KBO
% 6.43/2.45
% 6.43/2.45 Simplification rules
% 6.43/2.45 ----------------------
% 6.43/2.45 #Subsume : 9
% 6.43/2.45 #Demod : 20
% 6.43/2.45 #Tautology : 13
% 6.43/2.45 #SimpNegUnit : 0
% 6.43/2.45 #BackRed : 0
% 6.43/2.45
% 6.43/2.45 #Partial instantiations: 0
% 6.43/2.45 #Strategies tried : 1
% 6.43/2.45
% 6.43/2.45 Timing (in seconds)
% 6.43/2.45 ----------------------
% 6.43/2.45 Preprocessing : 0.64
% 6.43/2.45 Parsing : 0.34
% 6.43/2.45 CNF conversion : 0.06
% 6.43/2.45 Main loop : 0.73
% 6.43/2.45 Inferencing : 0.30
% 6.43/2.45 Reduction : 0.20
% 6.43/2.45 Demodulation : 0.13
% 6.43/2.45 BG Simplification : 0.04
% 6.43/2.45 Subsumption : 0.13
% 6.43/2.45 Abstraction : 0.02
% 6.43/2.45 MUC search : 0.00
% 6.43/2.46 Cooper : 0.00
% 6.43/2.46 Total : 1.44
% 6.43/2.46 Index Insertion : 0.00
% 6.43/2.46 Index Deletion : 0.00
% 6.43/2.46 Index Matching : 0.00
% 6.43/2.46 BG Taut test : 0.00
%------------------------------------------------------------------------------