%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : CSR309_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/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 : n012.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 6.92s 2.67s
% Output : CNFRefutation 7.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 43 ( 7 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 38 ( 12 ~; 17 |; 6 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 53 ( 0 atm; 7 fun; 41 num; 5 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 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 11 ( 10 !; 1 ?; 11 :)
% 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_12 > #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 ).
%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('#skF_12',type,
'#skF_12': fluent ).
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_327,negated_conjecture,
~ ! [F: fluent] :
( holdsAt(F,at_time(3))
=> ( releasedAt(F,at_time(4))
| holdsAt(waterLevel(3),at_time(3))
| holdsAt(F,at_time(4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',release_hold) ).
tff(f_117,axiom,
! [Fluent: fluent,Timea: $int] :
( ( holdsAt(Fluent,at_time(Timea))
& ~ releasedAt(Fluent,at_time($sum(Timea,1)))
& ~ ? [Event: event] :
( happens(Event,at_time(Timea))
& terminates(Event,Fluent,at_time(Timea)) ) )
=> holdsAt(Fluent,at_time($sum(Timea,1))) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001_0.ax',keep_holding) ).
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/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
tff(c_199,plain,
~ holdsAt(waterLevel(3),at_time(3)),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_200,plain,
~ holdsAt('#skF_12',at_time(4)),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_197,plain,
holdsAt('#skF_12',at_time(3)),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_2255,plain,
! [Fluent_545: fluent,Time_546a: $int] :
( happens('#skF_5'(Fluent_545,Time_546a),at_time(Time_546a))
| holdsAt(Fluent_545,at_time($sum(1,Time_546a)))
| releasedAt(Fluent_545,at_time($sum(1,Time_546a)))
| ~ holdsAt(Fluent_545,at_time(Time_546a)) ),
inference(cnfTransformation,[status(thm)],[f_117]) ).
tff(c_198,plain,
~ releasedAt('#skF_12',at_time(4)),
inference(cnfTransformation,[status(thm)],[f_327]) ).
tff(c_2370,plain,
! [Time_546a: $int] :
( happens('#skF_5'('#skF_12',Time_546a),at_time(Time_546a))
| holdsAt('#skF_12',at_time($sum(1,Time_546a)))
| ( $sum(1,Time_546a) != 4 )
| ~ holdsAt('#skF_12',at_time(Time_546a)) ),
inference(resolution,[status(thm)],[c_2255,c_198]) ).
tff(c_2372,plain,
( happens('#skF_5'('#skF_12',3),at_time(3))
| holdsAt('#skF_12',at_time($sum(1,3)))
| ~ holdsAt('#skF_12',at_time(3)) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2370]) ).
tff(c_2374,plain,
( happens('#skF_5'('#skF_12',3),at_time(3))
| holdsAt('#skF_12',at_time(4))
| ~ holdsAt('#skF_12',at_time(3)) ),
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2372]) ).
tff(c_2376,plain,
( happens('#skF_5'('#skF_12',3),at_time(3))
| holdsAt('#skF_12',at_time(4)) ),
inference(demodulation,[status(thm),theory(equality)],[c_197,c_2374]) ).
tff(c_2378,plain,
happens('#skF_5'('#skF_12',3),at_time(3)),
inference(negUnitSimplification,[status(thm)],[c_200,c_2376]) ).
tff(c_210,plain,
! [Time_83a: $int,Event_82: event] :
( holdsAt(waterLevel(3),at_time(Time_83a))
| ~ happens(Event_82,at_time(Time_83a))
| ( Time_83a = 0 ) ),
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_2380,plain,
( holdsAt(waterLevel(3),at_time(3))
| ( 3 = 0 ) ),
inference(resolution,[status(thm)],[c_2378,c_210]) ).
tff(c_2395,plain,
3 = 0,
inference(negUnitSimplification,[status(thm)],[c_199,c_2380]) ).
tff(c_2398,plain,
$false,
inference(backgroundSimplification,[status(thm),theory('LIA')],[c_2395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR309_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/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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Apr 9 20:10:29 EDT 2025
% 0.14/0.34 % CPUTime :
% 6.92/2.67 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.32/2.72
% 7.32/2.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------