TSTP Solution File: CSR014+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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 : n027.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 10:35:32 EDT 2023
% Result : Theorem 10.93s 3.76s
% Output : CNFRefutation 11.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 51
% Syntax : Number of formulae : 73 ( 18 unt; 40 typ; 0 def)
% Number of atoms : 72 ( 29 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 67 ( 28 ~; 21 |; 13 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 25 >; 40 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-3 aty)
% Number of variables : 42 (; 38 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ trajectory > antitrajectory > terminates > stoppedIn > startedIn > releases > initiates > releasedAt > less_or_equal > less > holdsAt > happens > plus > #nlpp > waterLevel > tapOn > tapOff > spilling > overflow > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n1 > n0 > filling > #skF_6 > #skF_1 > #skF_4 > #skF_2 > #skF_8 > #skF_11 > #skF_9 > #skF_3 > #skF_7 > #skF_5 > #skF_10
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(less_or_equal,type,
less_or_equal: ( $i * $i ) > $o ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff(stoppedIn,type,
stoppedIn: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(terminates,type,
terminates: ( $i * $i * $i ) > $o ).
tff(releasedAt,type,
releasedAt: ( $i * $i ) > $o ).
tff(n8,type,
n8: $i ).
tff(n9,type,
n9: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(startedIn,type,
startedIn: ( $i * $i * $i ) > $o ).
tff(n3,type,
n3: $i ).
tff(trajectory,type,
trajectory: ( $i * $i * $i * $i ) > $o ).
tff(n1,type,
n1: $i ).
tff(less,type,
less: ( $i * $i ) > $o ).
tff(plus,type,
plus: ( $i * $i ) > $i ).
tff(n7,type,
n7: $i ).
tff(n6,type,
n6: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(n0,type,
n0: $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(antitrajectory,type,
antitrajectory: ( $i * $i * $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(spilling,type,
spilling: $i ).
tff(happens,type,
happens: ( $i * $i ) > $o ).
tff(filling,type,
filling: $i ).
tff(initiates,type,
initiates: ( $i * $i * $i ) > $o ).
tff(n4,type,
n4: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff(tapOff,type,
tapOff: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(releases,type,
releases: ( $i * $i * $i ) > $o ).
tff(tapOn,type,
tapOn: $i ).
tff(waterLevel,type,
waterLevel: $i > $i ).
tff(holdsAt,type,
holdsAt: ( $i * $i ) > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(n2,type,
n2: $i ).
tff(overflow,type,
overflow: $i ).
tff(n5,type,
n5: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff(f_270,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( ( Event = tapOn )
& ( Time = n0 ) )
| ( holdsAt(waterLevel(n3),Time)
& holdsAt(filling,Time)
& ( Event = overflow ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
tff(f_306,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
tff(f_240,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( ( Event = tapOn )
& ( Fluent = filling ) )
| ( ( Event = overflow )
& ( Fluent = spilling ) )
| ? [Height] :
( holdsAt(waterLevel(Height),Time)
& ( Event = tapOff )
& ( Fluent = waterLevel(Height) ) )
| ? [Height] :
( holdsAt(waterLevel(Height),Time)
& ( Event = overflow )
& ( Fluent = waterLevel(Height) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
tff(f_191,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& ( initiates(Event,Fluent,Time)
| terminates(Event,Fluent,Time) ) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
tff(f_385,negated_conjecture,
~ ~ releasedAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3_l1) ).
tff(f_310,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
tff(f_316,axiom,
! [X,Y] : ( plus(X,Y) = plus(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
tff(f_159,axiom,
! [Fluent,Time] :
( ( ~ releasedAt(Fluent,Time)
& ~ ? [Event] :
( happens(Event,Time)
& releases(Event,Fluent,Time) ) )
=> ~ releasedAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
tff(f_258,axiom,
! [Event,Fluent,Time] :
( releases(Event,Fluent,Time)
<=> ? [Height] :
( ( Event = tapOn )
& ( Fluent = waterLevel(Height) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
tff(f_293,axiom,
! [X] : ( filling != waterLevel(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
tff(f_309,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
tff(c_164,plain,
happens(tapOn,n0),
inference(cnfTransformation,[status(thm)],[f_270]) ).
tff(c_189,plain,
plus(n0,n1) = n1,
inference(cnfTransformation,[status(thm)],[f_306]) ).
tff(c_130,plain,
! [Time_55] : initiates(tapOn,filling,Time_55),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_1626,plain,
! [Event_217,Fluent_218,Time_219] :
( ~ initiates(Event_217,Fluent_218,Time_219)
| ~ releasedAt(Fluent_218,plus(Time_219,n1))
| ~ happens(Event_217,Time_219) ),
inference(cnfTransformation,[status(thm)],[f_191]) ).
tff(c_2818,plain,
! [Time_289] :
( ~ releasedAt(filling,plus(Time_289,n1))
| ~ happens(tapOn,Time_289) ),
inference(resolution,[status(thm)],[c_130,c_1626]) ).
tff(c_2836,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[status(thm),theory(equality)],[c_189,c_2818]) ).
tff(c_2839,plain,
~ releasedAt(filling,n1),
inference(demodulation,[status(thm),theory(equality)],[c_164,c_2836]) ).
tff(c_271,plain,
releasedAt(filling,n3),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_197,plain,
plus(n1,n2) = n3,
inference(cnfTransformation,[status(thm)],[f_310]) ).
tff(c_207,plain,
! [Y_85,X_84] : ( plus(Y_85,X_84) = plus(X_84,Y_85) ),
inference(cnfTransformation,[status(thm)],[f_316]) ).
tff(c_2425,plain,
! [Fluent_272,Time_273] :
( releases('#skF_8'(Fluent_272,Time_273),Fluent_272,Time_273)
| ~ releasedAt(Fluent_272,plus(Time_273,n1))
| releasedAt(Fluent_272,Time_273) ),
inference(cnfTransformation,[status(thm)],[f_159]) ).
tff(c_1343,plain,
! [Event_189,Fluent_190,Time_191] :
( ( waterLevel('#skF_11'(Event_189,Fluent_190,Time_191)) = Fluent_190 )
| ~ releases(Event_189,Fluent_190,Time_191) ),
inference(cnfTransformation,[status(thm)],[f_258]) ).
tff(c_176,plain,
! [X_80] : ( waterLevel(X_80) != filling ),
inference(cnfTransformation,[status(thm)],[f_293]) ).
tff(c_1364,plain,
! [Fluent_190,Event_189,Time_191] :
( ( filling != Fluent_190 )
| ~ releases(Event_189,Fluent_190,Time_191) ),
inference(superposition,[status(thm),theory(equality)],[c_1343,c_176]) ).
tff(c_6053,plain,
! [Fluent_485,Time_486] :
( ( filling != Fluent_485 )
| ~ releasedAt(Fluent_485,plus(Time_486,n1))
| releasedAt(Fluent_485,Time_486) ),
inference(resolution,[status(thm)],[c_2425,c_1364]) ).
tff(c_7949,plain,
! [Fluent_576,X_577] :
( ( filling != Fluent_576 )
| ~ releasedAt(Fluent_576,plus(n1,X_577))
| releasedAt(Fluent_576,X_577) ),
inference(superposition,[status(thm),theory(equality)],[c_207,c_6053]) ).
tff(c_7997,plain,
! [Fluent_579] :
( ( filling != Fluent_579 )
| ~ releasedAt(Fluent_579,n3)
| releasedAt(Fluent_579,n2) ),
inference(superposition,[status(thm),theory(equality)],[c_197,c_7949]) ).
tff(c_8001,plain,
releasedAt(filling,n2),
inference(resolution,[status(thm)],[c_271,c_7997]) ).
tff(c_195,plain,
plus(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_309]) ).
tff(c_6080,plain,
! [Fluent_485] :
( ( filling != Fluent_485 )
| ~ releasedAt(Fluent_485,n2)
| releasedAt(Fluent_485,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_195,c_6053]) ).
tff(c_8004,plain,
releasedAt(filling,n1),
inference(resolution,[status(thm)],[c_8001,c_6080]) ).
tff(c_8011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2839,c_8004]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.13 % 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
% 0.13/0.35 % Computer : n027.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 21:04:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 10.93/3.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.93/3.77
% 10.93/3.77 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.74/3.80
% 11.74/3.80 Inference rules
% 11.74/3.80 ----------------------
% 11.74/3.80 #Ref : 2
% 11.74/3.80 #Sup : 1563
% 11.74/3.80 #Fact : 2
% 11.74/3.80 #Define : 0
% 11.74/3.80 #Split : 38
% 11.74/3.80 #Chain : 0
% 11.74/3.80 #Close : 0
% 11.74/3.80
% 11.74/3.80 Ordering : KBO
% 11.74/3.80
% 11.74/3.80 Simplification rules
% 11.74/3.80 ----------------------
% 11.74/3.80 #Subsume : 424
% 11.74/3.80 #Demod : 604
% 11.74/3.80 #Tautology : 451
% 11.74/3.80 #SimpNegUnit : 274
% 11.74/3.80 #BackRed : 226
% 11.74/3.80
% 11.74/3.80 #Partial instantiations: 0
% 11.74/3.80 #Strategies tried : 1
% 11.74/3.80
% 11.74/3.80 Timing (in seconds)
% 11.74/3.80 ----------------------
% 11.74/3.80 Preprocessing : 0.70
% 11.74/3.80 Parsing : 0.33
% 11.74/3.80 CNF conversion : 0.06
% 11.74/3.80 Main loop : 1.99
% 11.74/3.80 Inferencing : 0.70
% 11.74/3.80 Reduction : 0.67
% 11.74/3.80 Demodulation : 0.42
% 11.74/3.80 BG Simplification : 0.07
% 11.74/3.80 Subsumption : 0.43
% 11.74/3.80 Abstraction : 0.05
% 11.74/3.80 MUC search : 0.00
% 11.74/3.80 Cooper : 0.00
% 11.74/3.80 Total : 2.74
% 11.74/3.80 Index Insertion : 0.00
% 11.74/3.80 Index Deletion : 0.00
% 11.74/3.80 Index Matching : 0.00
% 11.74/3.80 BG Taut test : 0.00
%------------------------------------------------------------------------------