%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CSR307_1 : TPTP v9.0.0. Released v9.1.0.
% 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 : n006.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 : Thu Apr 10 02:50:26 AM UTC 2025
% Result : Theorem 9.12s 3.27s
% Output : CNFRefutation 9.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 91 ( 34 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 74 ( 27 ~; 28 |; 13 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number arithmetic : 73 ( 0 atm; 15 fun; 35 num; 23 var)
% Number of types : 5 ( 3 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 26 ( 22 usr; 12 con; 0-3 aty)
% Number of variables : 41 ( 37 !; 4 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
%$ trajectory > antitrajectory > terminates > stoppedIn > startedIn > releases > initiates > releasedAt > holdsAt > happens > #nlpp > waterLevel > at_time > tapOn > tapOff > spilling > overflow > filling > #skF_11 > #skF_3 > #skF_2 > #skF_4 > #skF_9 > #skF_1 > #skF_7 > #skF_6 > #skF_10 > #skF_8 > #skF_5
%Foreground sorts:
tff(fluent,type,
fluent: $tType ).
tff(time,type,
time: $tType ).
tff(event,type,
event: $tType ).
%Background operators:
tff('#skE_2',type,
'#skE_2': $int ).
tff('#skE_1',type,
'#skE_1': $int ).
tff('#skF_12',type,
'#skF_12': $int ).
tff('#skE_3',type,
'#skE_3': $int ).
%Foreground operators:
tff(tapOff,type,
tapOff: event ).
tff('#skF_11',type,
'#skF_11': ( event * fluent * $int ) > $int ).
tff('#skF_3',type,
'#skF_3': ( $int * fluent * $int ) > event ).
tff(waterLevel,type,
waterLevel: $int > fluent ).
tff(initiates,type,
initiates: ( event * fluent * time ) > $o ).
tff(releasedAt,type,
releasedAt: ( fluent * time ) > $o ).
tff('#skF_2',type,
'#skF_2': ( $int * fluent * $int ) > $int ).
tff('#skF_4',type,
'#skF_4': ( $int * fluent * $int ) > $int ).
tff(releases,type,
releases: ( event * fluent * time ) > $o ).
tff(terminates,type,
terminates: ( event * fluent * time ) > $o ).
tff('#skF_9',type,
'#skF_9': ( event * fluent * $int ) > $int ).
tff(startedIn,type,
startedIn: ( time * fluent * time ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $int * fluent * $int ) > event ).
tff(at_time,type,
at_time: $int > time ).
tff(stoppedIn,type,
stoppedIn: ( time * fluent * time ) > $o ).
tff('#skF_7',type,
'#skF_7': ( fluent * $int ) > event ).
tff(spilling,type,
spilling: fluent ).
tff(holdsAt,type,
holdsAt: ( fluent * time ) > $o ).
tff(overflow,type,
overflow: event ).
tff(trajectory,type,
trajectory: ( fluent * time * fluent * $int ) > $o ).
tff('#skF_6',type,
'#skF_6': ( fluent * $int ) > event ).
tff('#skF_10',type,
'#skF_10': ( event * fluent * $int ) > $int ).
tff(tapOn,type,
tapOn: event ).
tff('#skF_8',type,
'#skF_8': ( fluent * $int ) > event ).
tff(filling,type,
filling: fluent ).
tff('#skF_5',type,
'#skF_5': ( fluent * $int ) > event ).
tff(happens,type,
happens: ( event * time ) > $o ).
tff(antitrajectory,type,
antitrajectory: ( fluent * time * fluent * $int ) > $o ).
tff(f_232,axiom,
! [Xa: $int] : ( spilling != waterLevel(Xa) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',spilling_not_waterLevel) ).
tff(f_318,axiom,
~ releasedAt(spilling,at_time(0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_spilling_0) ).
tff(f_323,negated_conjecture,
~ ! [X1a: $int] :
( releasedAt(spilling,at_time($sum(1,X1a)))
=> releasedAt(spilling,at_time(X1a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',release_from_before) ).
tff(f_156,axiom,
! [Fluent: fluent,Timea: $int] :
( ( ~ releasedAt(Fluent,at_time(Timea))
& ~ ? [Event: event] :
( happens(Event,at_time(Timea))
& releases(Event,Fluent,at_time(Timea)) ) )
=> ~ releasedAt(Fluent,at_time($sum(Timea,1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',keep_not_released) ).
tff(f_306,axiom,
! [Event: event,Timea: $int] :
( happens(Event,at_time(Timea))
<=> ( ( ( Event = tapOn )
& ( Timea = 0 ) )
| ( holdsAt(waterLevel(3),at_time(Timea))
& holdsAt(filling,at_time(Timea))
& ( Event = overflow ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
tff(f_280,axiom,
! [Event: event,Fluent: fluent,Timea: $int] :
( releases(Event,Fluent,at_time(Timea))
<=> ? [Heighta: $int] :
( ( Event = tapOn )
& ( Fluent = waterLevel(Heighta) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',releases_all_defn) ).
tff(f_262,axiom,
! [Event: event,Fluent: fluent,Timea: $int] :
( initiates(Event,Fluent,at_time(Timea))
<=> ( ( ( Event = tapOn )
& ( Fluent = filling ) )
| ( ( Event = overflow )
& ( Fluent = spilling ) )
| ? [Heighta: $int] :
( holdsAt(waterLevel(Heighta),at_time(Timea))
& ( Event = tapOff )
& ( Fluent = waterLevel(Heighta) ) )
| ? [Heighta: $int] :
( holdsAt(waterLevel(Heighta),at_time(Timea))
& ( Event = overflow )
& ( Fluent = waterLevel(Heighta) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_1.ax',initiates_all_defn) ).
tff(f_184,axiom,
! [Event: event,Timea: $int,Fluent: fluent] :
( ( happens(Event,at_time(Timea))
& ( initiates(Event,Fluent,at_time(Timea))
| terminates(Event,Fluent,at_time(Timea)) ) )
=> ~ releasedAt(Fluent,at_time($sum(Timea,1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001_0.ax',happens_not_released) ).
tff(c_270,plain,
! [X_54a: $int] : ( waterLevel(X_54a) != spilling ),
inference(cnfTransformation,[status(thm)],[f_232]) ).
tff(c_201,plain,
~ releasedAt(spilling,at_time(0)),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_196,plain,
releasedAt(spilling,at_time($sum(1,'#skF_12'))),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_1365,plain,
! [Fluent_313: fluent,Time_314a: $int] :
( happens('#skF_8'(Fluent_313,Time_314a),at_time(Time_314a))
| ~ releasedAt(Fluent_313,at_time($sum(1,Time_314a)))
| releasedAt(Fluent_313,at_time(Time_314a)) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_1374,plain,
! [Time_314a: $int] :
( happens('#skF_8'(spilling,Time_314a),at_time(Time_314a))
| releasedAt(spilling,at_time(Time_314a))
| ( $sum(1,Time_314a) != $sum(1,'#skF_12') ) ),
inference(resolution,[status(thm)],[c_196,c_1365]) ).
tff(c_1378,plain,
( happens('#skF_8'(spilling,'#skF_12'),at_time('#skF_12'))
| releasedAt(spilling,at_time('#skF_12')) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1374]) ).
tff(c_1394,plain,
releasedAt(spilling,at_time('#skF_12')),
inference(splitLeft,[status(thm)],[c_1378]) ).
tff(c_200,plain,
~ releasedAt(spilling,at_time('#skF_12')),
inference(cnfTransformation,[status(thm)],[f_323]) ).
tff(c_1397,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1394,c_200]) ).
tff(c_1404,plain,
happens('#skF_8'(spilling,'#skF_12'),at_time('#skF_12')),
inference(splitRight,[status(thm)],[c_1378]) ).
tff(c_212,plain,
! [Time_83a: $int,Event_82: event] :
( holdsAt(filling,at_time(Time_83a))
| ~ happens(Event_82,at_time(Time_83a))
| ( Time_83a = 0 ) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_1430,plain,
( holdsAt(filling,at_time('#skF_12'))
| ( '#skF_12' = 0 ) ),
inference(resolution,[status(thm)],[c_1404,c_212]) ).
tff(c_1440,plain,
'#skF_12' = 0,
inference(splitLeft,[status(thm)],[c_1430]) ).
tff(c_1448,plain,
releasedAt(spilling,at_time($sum(1,0))),
inference(demodulation,[status(thm),theory(equality)],[c_1440,c_196]) ).
tff(c_1454,plain,
releasedAt(spilling,at_time(1)),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1448]) ).
tff(c_1646,plain,
! [Fluent_349: fluent,Time_350a: $int] :
( releases('#skF_8'(Fluent_349,Time_350a),Fluent_349,at_time(Time_350a))
| ~ releasedAt(Fluent_349,at_time($sum(1,Time_350a)))
| releasedAt(Fluent_349,at_time(Time_350a)) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_221,plain,
! [Event_69: event,Fluent_70: fluent,Time_71a: $int] :
( ( waterLevel('#skF_11'(Event_69,Fluent_70,Time_71a)) = Fluent_70 )
| ~ releases(Event_69,Fluent_70,at_time(Time_71a)) ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_4029,plain,
! [Fluent_532: fluent,Time_533a: $int] :
( ( waterLevel('#skF_11'('#skF_8'(Fluent_532,Time_533a),Fluent_532,Time_533a)) = Fluent_532 )
| ~ releasedAt(Fluent_532,at_time($sum(1,Time_533a)))
| releasedAt(Fluent_532,at_time(Time_533a)) ),
inference(resolution,[status(thm)],[c_1646,c_221]) ).
tff(c_4460,plain,
! [Time_533a: $int] :
( ( waterLevel('#skF_11'('#skF_8'(spilling,Time_533a),spilling,Time_533a)) = spilling )
| ( $sum(1,Time_533a) != 1 )
| releasedAt(spilling,at_time(Time_533a)) ),
inference(resolution,[status(thm)],[c_1454,c_4029]) ).
tff(c_4463,plain,
( ( waterLevel('#skF_11'('#skF_8'(spilling,0),spilling,0)) = spilling )
| releasedAt(spilling,at_time(0)) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_4460]) ).
tff(c_4467,plain,
waterLevel('#skF_11'('#skF_8'(spilling,0),spilling,0)) = spilling,
inference(negUnitSimplification,[status(thm)],[c_201,c_4463]) ).
tff(c_4468,plain,
'#skF_11'('#skF_8'(spilling,0),spilling,0) = '#skE_3',
inference(define,[status(thm),theory(equality)],[c_4467]) ).
tff(c_4471,plain,
waterLevel('#skE_3') = spilling,
inference(demodulation,[status(thm),theory(equality)],[c_4468,c_4467]) ).
tff(c_4477,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_270,c_4471]) ).
tff(c_4483,plain,
'#skF_12' != 0,
inference(splitRight,[status(thm)],[c_1430]) ).
tff(c_214,plain,
! [Event_82: event,Time_83a: $int] :
( ( overflow = Event_82 )
| ~ happens(Event_82,at_time(Time_83a))
| ( Time_83a = 0 ) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_1433,plain,
( ( '#skF_8'(spilling,'#skF_12') = overflow )
| ( '#skF_12' = 0 ) ),
inference(resolution,[status(thm)],[c_1404,c_214]) ).
tff(c_4548,plain,
'#skF_8'(spilling,'#skF_12') = overflow,
inference(negUnitSimplification,[status(thm)],[c_4483,c_1433]) ).
tff(c_1401,plain,
happens('#skF_8'(spilling,'#skF_12'),at_time('#skF_12')),
inference(splitRight,[status(thm)],[c_1378]) ).
tff(c_4571,plain,
happens(overflow,at_time('#skF_12')),
inference(demodulation,[status(thm),theory(equality)],[c_4548,c_1401]) ).
tff(c_230,plain,
! [Time_59a: $int] : initiates(overflow,spilling,at_time(Time_59a)),
inference(cnfTransformation,[status(thm)],[f_262]) ).
tff(c_995,plain,
! [Event_266: event,Fluent_267: fluent,Time_268a: $int] :
( ~ initiates(Event_266,Fluent_267,at_time(Time_268a))
| ~ releasedAt(Fluent_267,at_time($sum(1,Time_268a)))
| ~ happens(Event_266,at_time(Time_268a)) ),
inference(cnfTransformation,[status(thm)],[f_184]) ).
tff(c_1025,plain,
! [Time_277a: $int] :
( ~ releasedAt(spilling,at_time($sum(1,Time_277a)))
| ~ happens(overflow,at_time(Time_277a)) ),
inference(resolution,[status(thm)],[c_230,c_995]) ).
tff(c_1029,plain,
! [Time_277a: $int] :
( ~ happens(overflow,at_time(Time_277a))
| ( $sum(1,Time_277a) != $sum(1,'#skF_12') ) ),
inference(resolution,[status(thm)],[c_196,c_1025]) ).
tff(c_1033,plain,
~ happens(overflow,at_time('#skF_12')),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_1029]) ).
tff(c_4575,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4571,c_1033]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR307_1 : TPTP v9.0.0. Released v9.1.0.
% 0.11/0.13 % 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 : n006.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 : Wed Apr 9 20:11:52 EDT 2025
% 0.13/0.34 % CPUTime :
% 9.12/3.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.52/3.28
% 9.52/3.28 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------