TSTP Solution File: NLP145+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NLP145+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n028.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 10:50:26 EDT 2023
% Result : Theorem 6.52s 2.44s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 83
% Syntax : Number of formulae : 119 ( 10 unt; 71 typ; 0 def)
% Number of atoms : 116 ( 8 equ)
% Maximal formula atoms : 27 ( 2 avg)
% Number of connectives : 105 ( 37 ~; 27 |; 27 &)
% ( 1 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 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 : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 82 (; 71 !; 11 ?; 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_10 > #skF_5 > #skF_6 > #skF_9 > #skF_8 > #skF_4 > #skF_11 > #skF_2 > #skF_12 > #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('#skF_10',type,
'#skF_10': $i ).
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(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_12',type,
'#skF_12': $i > $i ).
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,X1] :
( of(U,W,V)
& city(U,V)
& hollywood_placename(U,W)
& placename(U,W)
& chevy(U,X)
& white(U,X)
& dirty(U,X)
& old(U,X)
& street(U,Y)
& lonely(U,Y)
& event(U,Z)
& agent(U,Z,X)
& present(U,Z)
& barrel(U,Z)
& down(U,Z,Y)
& in(U,Z,V)
& ! [X2] :
( member(U,X2,X1)
=> ? [X3,X4] :
( frontseat(U,X4)
& state(U,X3)
& be(U,X3,X2,X4)
& in(U,X4,X4) ) )
& two(U,X1)
& group(U,X1)
& ! [X5] :
( member(U,X5,X1)
=> ( fellow(U,X5)
& young(U,X5) ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ax60) ).
tff(f_223,axiom,
! [U,V] :
( fellow(U,V)
=> man(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
tff(f_175,axiom,
! [U,V] :
( man(U,V)
=> male(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
tff(f_107,axiom,
! [U,V] :
( artifact(U,V)
=> object(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
tff(f_91,axiom,
! [U,V] :
( object(U,V)
=> unisex(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
tff(f_258,axiom,
! [U,V] :
( unisex(U,V)
=> ~ male(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
tff(f_282,axiom,
! [U,V,W,X] :
( be(U,V,W,X)
=> ( W = X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
tff(f_39,axiom,
! [U,V] :
( frontseat(U,V)
=> seat(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
tff(f_35,axiom,
! [U,V] :
( seat(U,V)
=> furniture(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_31,axiom,
! [U,V] :
( furniture(U,V)
=> instrumentality(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f_111,axiom,
! [U,V] :
( instrumentality(U,V)
=> artifact(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
tff(c_138,plain,
two('#skF_4','#skF_10'),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_473,plain,
! [U_343,V_344] :
( member(U_343,'#skF_2'(U_343,V_344),V_344)
| ~ two(U_343,V_344) ),
inference(cnfTransformation,[status(thm)],[f_300]) ).
tff(c_176,plain,
! [X5_180] :
( fellow('#skF_4',X5_180)
| ~ member('#skF_4',X5_180,'#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_477,plain,
( fellow('#skF_4','#skF_2'('#skF_4','#skF_10'))
| ~ two('#skF_4','#skF_10') ),
inference(resolution,[status(thm)],[c_473,c_176]) ).
tff(c_484,plain,
fellow('#skF_4','#skF_2'('#skF_4','#skF_10')),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_477]) ).
tff(c_98,plain,
! [U_97,V_98] :
( man(U_97,V_98)
| ~ fellow(U_97,V_98) ),
inference(cnfTransformation,[status(thm)],[f_223]) ).
tff(c_364,plain,
! [U_299,V_300] :
( male(U_299,V_300)
| ~ man(U_299,V_300) ),
inference(cnfTransformation,[status(thm)],[f_175]) ).
tff(c_368,plain,
! [U_97,V_98] :
( male(U_97,V_98)
| ~ fellow(U_97,V_98) ),
inference(resolution,[status(thm)],[c_98,c_364]) ).
tff(c_40,plain,
! [U_39,V_40] :
( object(U_39,V_40)
| ~ artifact(U_39,V_40) ),
inference(cnfTransformation,[status(thm)],[f_107]) ).
tff(c_32,plain,
! [U_31,V_32] :
( unisex(U_31,V_32)
| ~ object(U_31,V_32) ),
inference(cnfTransformation,[status(thm)],[f_91]) ).
tff(c_283,plain,
! [U_267,V_268] :
( ~ male(U_267,V_268)
| ~ unisex(U_267,V_268) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_425,plain,
! [U_327,V_328] :
( ~ male(U_327,V_328)
| ~ object(U_327,V_328) ),
inference(resolution,[status(thm)],[c_32,c_283]) ).
tff(c_750,plain,
! [U_421,V_422] :
( ~ male(U_421,V_422)
| ~ artifact(U_421,V_422) ),
inference(resolution,[status(thm)],[c_40,c_425]) ).
tff(c_828,plain,
! [U_447,V_448] :
( ~ artifact(U_447,V_448)
| ~ fellow(U_447,V_448) ),
inference(resolution,[status(thm)],[c_368,c_750]) ).
tff(c_836,plain,
~ artifact('#skF_4','#skF_2'('#skF_4','#skF_10')),
inference(resolution,[status(thm)],[c_484,c_828]) ).
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,
! [X2_177] :
( be('#skF_4','#skF_11'(X2_177),X2_177,'#skF_12'(X2_177))
| ~ member('#skF_4',X2_177,'#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_375,plain,
! [X_305,W_306,U_307,V_308] :
( ( X_305 = W_306 )
| ~ be(U_307,V_308,W_306,X_305) ),
inference(cnfTransformation,[status(thm)],[f_282]) ).
tff(c_492,plain,
! [X2_345] :
( ( '#skF_12'(X2_345) = X2_345 )
| ~ member('#skF_4',X2_345,'#skF_10') ),
inference(resolution,[status(thm)],[c_180,c_375]) ).
tff(c_496,plain,
( ( '#skF_12'('#skF_2'('#skF_4','#skF_10')) = '#skF_2'('#skF_4','#skF_10') )
| ~ two('#skF_4','#skF_10') ),
inference(resolution,[status(thm)],[c_126,c_492]) ).
tff(c_499,plain,
'#skF_12'('#skF_2'('#skF_4','#skF_10')) = '#skF_2'('#skF_4','#skF_10'),
inference(demodulation,[status(thm),theory(equality)],[c_138,c_496]) ).
tff(c_184,plain,
! [X2_177] :
( frontseat('#skF_4','#skF_12'(X2_177))
| ~ member('#skF_4',X2_177,'#skF_10') ),
inference(cnfTransformation,[status(thm)],[f_364]) ).
tff(c_918,plain,
( frontseat('#skF_4','#skF_2'('#skF_4','#skF_10'))
| ~ member('#skF_4','#skF_2'('#skF_4','#skF_10'),'#skF_10') ),
inference(superposition,[status(thm),theory(equality)],[c_499,c_184]) ).
tff(c_970,plain,
~ member('#skF_4','#skF_2'('#skF_4','#skF_10'),'#skF_10'),
inference(splitLeft,[status(thm)],[c_918]) ).
tff(c_973,plain,
~ two('#skF_4','#skF_10'),
inference(resolution,[status(thm)],[c_126,c_970]) ).
tff(c_977,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_138,c_973]) ).
tff(c_978,plain,
frontseat('#skF_4','#skF_2'('#skF_4','#skF_10')),
inference(splitRight,[status(thm)],[c_918]) ).
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_352,plain,
! [U_292,V_293] :
( furniture(U_292,V_293)
| ~ seat(U_292,V_293) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_356,plain,
! [U_5,V_6] :
( furniture(U_5,V_6)
| ~ frontseat(U_5,V_6) ),
inference(resolution,[status(thm)],[c_6,c_352]) ).
tff(c_2,plain,
! [U_1,V_2] :
( instrumentality(U_1,V_2)
| ~ furniture(U_1,V_2) ),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_278,plain,
! [U_265,V_266] :
( artifact(U_265,V_266)
| ~ instrumentality(U_265,V_266) ),
inference(cnfTransformation,[status(thm)],[f_111]) ).
tff(c_537,plain,
! [U_361,V_362] :
( artifact(U_361,V_362)
| ~ furniture(U_361,V_362) ),
inference(resolution,[status(thm)],[c_2,c_278]) ).
tff(c_541,plain,
! [U_5,V_6] :
( artifact(U_5,V_6)
| ~ frontseat(U_5,V_6) ),
inference(resolution,[status(thm)],[c_356,c_537]) ).
tff(c_982,plain,
artifact('#skF_4','#skF_2'('#skF_4','#skF_10')),
inference(resolution,[status(thm)],[c_978,c_541]) ).
tff(c_986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_836,c_982]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NLP145+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/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 13:15:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 6.52/2.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.52/2.45
% 6.52/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.58/2.48
% 6.58/2.48 Inference rules
% 6.58/2.48 ----------------------
% 6.58/2.49 #Ref : 0
% 6.58/2.49 #Sup : 156
% 6.58/2.49 #Fact : 0
% 6.58/2.49 #Define : 0
% 6.58/2.49 #Split : 3
% 6.58/2.49 #Chain : 0
% 6.58/2.49 #Close : 0
% 6.58/2.49
% 6.58/2.49 Ordering : KBO
% 6.58/2.49
% 6.58/2.49 Simplification rules
% 6.58/2.49 ----------------------
% 6.58/2.49 #Subsume : 7
% 6.58/2.49 #Demod : 19
% 6.58/2.49 #Tautology : 13
% 6.58/2.49 #SimpNegUnit : 3
% 6.58/2.49 #BackRed : 0
% 6.58/2.49
% 6.58/2.49 #Partial instantiations: 0
% 6.58/2.49 #Strategies tried : 1
% 6.58/2.49
% 6.58/2.49 Timing (in seconds)
% 6.58/2.49 ----------------------
% 6.58/2.49 Preprocessing : 0.67
% 6.58/2.49 Parsing : 0.35
% 6.58/2.49 CNF conversion : 0.05
% 6.58/2.49 Main loop : 0.69
% 6.58/2.49 Inferencing : 0.27
% 6.58/2.49 Reduction : 0.19
% 6.58/2.49 Demodulation : 0.11
% 6.58/2.49 BG Simplification : 0.04
% 6.58/2.49 Subsumption : 0.14
% 6.58/2.49 Abstraction : 0.02
% 6.58/2.49 MUC search : 0.00
% 6.58/2.49 Cooper : 0.00
% 6.58/2.49 Total : 1.42
% 6.58/2.49 Index Insertion : 0.00
% 6.58/2.49 Index Deletion : 0.00
% 6.58/2.49 Index Matching : 0.00
% 6.58/2.49 BG Taut test : 0.00
%------------------------------------------------------------------------------