TSTP Solution File: CSR018+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : CSR018+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 : n011.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 10:35:33 EDT 2023
% Result : Theorem 10.40s 3.46s
% Output : CNFRefutation 10.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 49
% Syntax : Number of formulae : 82 ( 22 unt; 36 typ; 0 def)
% Number of atoms : 115 ( 42 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 105 ( 36 ~; 35 |; 25 &)
% ( 7 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 55 ( 21 >; 34 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-3 aty)
% Number of variables : 39 (; 38 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ trajectory > antitrajectory > terminates > stoppedIn > startedIn > releases > initiates > releasedAt > less_or_equal > less > holdsAt > happens > plus > #nlpp > spinning > push > pull > n9 > n8 > n7 > n6 > n5 > n4 > n3 > n2 > n1 > n0 > forwards > backwards > #skF_6 > #skF_1 > #skF_4 > #skF_2 > #skF_8 > #skF_3 > #skF_7 > #skF_5
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(backwards,type,
backwards: $i ).
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(forwards,type,
forwards: $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(happens,type,
happens: ( $i * $i ) > $o ).
tff(initiates,type,
initiates: ( $i * $i * $i ) > $o ).
tff(n4,type,
n4: $i ).
tff(pull,type,
pull: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(releases,type,
releases: ( $i * $i * $i ) > $o ).
tff(holdsAt,type,
holdsAt: ( $i * $i ) > $o ).
tff(push,type,
push: $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff(n2,type,
n2: $i ).
tff(n5,type,
n5: $i ).
tff(spinning,type,
spinning: $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i ) > $i ).
tff(f_334,axiom,
~ ? [X] : less(X,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
tff(f_378,axiom,
! [X,Y] :
( less(X,Y)
<=> ( ~ less(Y,X)
& ( Y != X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
tff(f_304,axiom,
push != pull,
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',push_not_pull) ).
tff(f_301,axiom,
! [Event,Time] :
( happens(Event,Time)
<=> ( ( ( Event = push )
& ( Time = n0 ) )
| ( ( Event = pull )
& ( Time = n1 ) )
| ( ( Event = pull )
& ( Time = n2 ) )
| ( ( Event = push )
& ( Time = n2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',happens_all_defn) ).
tff(f_280,axiom,
! [Event,Fluent,Time] :
( terminates(Event,Fluent,Time)
<=> ( ( ( Event = push )
& ( Fluent = backwards )
& ~ happens(pull,Time) )
| ( ( Event = pull )
& ( Fluent = forwards )
& ~ happens(push,Time) )
| ( ( Event = pull )
& ( Fluent = forwards )
& happens(push,Time) )
| ( ( Event = pull )
& ( Fluent = backwards )
& happens(push,Time) )
| ( ( Event = push )
& ( Fluent = spinning )
& ~ happens(pull,Time) )
| ( ( Event = pull )
& ( Fluent = spinning )
& ~ happens(push,Time) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',terminates_all_defn) ).
tff(f_318,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
tff(f_174,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& terminates(Event,Fluent,Time) )
=> ~ holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
tff(f_390,negated_conjecture,
~ holdsAt(backwards,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',backwards_2) ).
tff(f_238,axiom,
! [Event,Fluent,Time] :
( initiates(Event,Fluent,Time)
<=> ( ( ( Event = push )
& ( Fluent = forwards )
& ~ happens(pull,Time) )
| ( ( Event = pull )
& ( Fluent = backwards )
& ~ happens(push,Time) )
| ( ( Event = pull )
& ( Fluent = spinning )
& happens(push,Time) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+2.ax',initiates_all_defn) ).
tff(f_166,axiom,
! [Event,Time,Fluent] :
( ( happens(Event,Time)
& initiates(Event,Fluent,Time) )
=> holdsAt(Fluent,plus(Time,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
tff(f_331,axiom,
! [X,Y] :
( less_or_equal(X,Y)
<=> ( less(X,Y)
| ( X = Y ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
tff(f_342,axiom,
! [X] :
( less(X,n2)
<=> less_or_equal(X,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
tff(f_338,axiom,
! [X] :
( less(X,n1)
<=> less_or_equal(X,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
tff(c_1660,plain,
! [X_68] : ~ less(X_68,n0),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_1700,plain,
! [Y_79] : ~ less(Y_79,Y_79),
inference(cnfTransformation,[status(thm)],[f_378]) ).
tff(c_1624,plain,
push != pull,
inference(cnfTransformation,[status(thm)],[f_304]) ).
tff(c_1620,plain,
happens(pull,n1),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_1576,plain,
! [Time_58] :
( ~ happens(push,Time_58)
| terminates(pull,forwards,Time_58) ),
inference(cnfTransformation,[status(thm)],[f_280]) ).
tff(c_1640,plain,
plus(n1,n1) = n2,
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_4018,plain,
! [Fluent_219,Time_220,Event_221] :
( ~ holdsAt(Fluent_219,plus(Time_220,n1))
| ~ terminates(Event_221,Fluent_219,Time_220)
| ~ happens(Event_221,Time_220) ),
inference(cnfTransformation,[status(thm)],[f_174]) ).
tff(c_4876,plain,
! [Fluent_260,Event_261] :
( ~ holdsAt(Fluent_260,n2)
| ~ terminates(Event_261,Fluent_260,n1)
| ~ happens(Event_261,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_1640,c_4018]) ).
tff(c_4888,plain,
( ~ holdsAt(forwards,n2)
| ~ happens(pull,n1)
| ~ happens(push,n1) ),
inference(resolution,[status(thm)],[c_1576,c_4876]) ).
tff(c_4908,plain,
( ~ holdsAt(forwards,n2)
| ~ happens(push,n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_1620,c_4888]) ).
tff(c_4917,plain,
~ happens(push,n1),
inference(splitLeft,[status(thm)],[c_4908]) ).
tff(c_1712,plain,
~ holdsAt(backwards,n2),
inference(cnfTransformation,[status(thm)],[f_390]) ).
tff(c_108,plain,
! [Time_55] :
( happens(push,Time_55)
| initiates(pull,backwards,Time_55) ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_3933,plain,
! [Fluent_213,Time_214,Event_215] :
( holdsAt(Fluent_213,plus(Time_214,n1))
| ~ initiates(Event_215,Fluent_213,Time_214)
| ~ happens(Event_215,Time_214) ),
inference(cnfTransformation,[status(thm)],[f_166]) ).
tff(c_7265,plain,
! [Time_373] :
( holdsAt(backwards,plus(Time_373,n1))
| ~ happens(pull,Time_373)
| happens(push,Time_373) ),
inference(resolution,[status(thm)],[c_108,c_3933]) ).
tff(c_7280,plain,
( holdsAt(backwards,n2)
| ~ happens(pull,n1)
| happens(push,n1) ),
inference(superposition,[status(thm),theory(equality)],[c_1640,c_7265]) ).
tff(c_7287,plain,
( holdsAt(backwards,n2)
| happens(push,n1) ),
inference(demodulation,[status(thm),theory(equality)],[c_1620,c_7280]) ).
tff(c_7289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4917,c_1712,c_7287]) ).
tff(c_7291,plain,
happens(push,n1),
inference(splitRight,[status(thm)],[c_4908]) ).
tff(c_1596,plain,
! [Time_63,Event_62] :
( ( n0 = Time_63 )
| ( pull = Event_62 )
| ( n2 = Time_63 )
| ~ happens(Event_62,Time_63) ),
inference(cnfTransformation,[status(thm)],[f_301]) ).
tff(c_7300,plain,
( ( n1 = n0 )
| ( push = pull )
| ( n2 = n1 ) ),
inference(resolution,[status(thm)],[c_7291,c_1596]) ).
tff(c_7310,plain,
( ( n1 = n0 )
| ( n2 = n1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1624,c_7300]) ).
tff(c_7315,plain,
n2 = n1,
inference(splitLeft,[status(thm)],[c_7310]) ).
tff(c_1656,plain,
! [Y_67] : less_or_equal(Y_67,Y_67),
inference(cnfTransformation,[status(thm)],[f_331]) ).
tff(c_1767,plain,
! [X_90] :
( less(X_90,n2)
| ~ less_or_equal(X_90,n1) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_1772,plain,
less(n1,n2),
inference(resolution,[status(thm)],[c_1656,c_1767]) ).
tff(c_7387,plain,
less(n1,n1),
inference(demodulation,[status(thm),theory(equality)],[c_7315,c_1772]) ).
tff(c_7405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1700,c_7387]) ).
tff(c_7406,plain,
n1 = n0,
inference(splitRight,[status(thm)],[c_7310]) ).
tff(c_1877,plain,
! [X_106] :
( less(X_106,n1)
| ~ less_or_equal(X_106,n0) ),
inference(cnfTransformation,[status(thm)],[f_338]) ).
tff(c_1882,plain,
less(n0,n1),
inference(resolution,[status(thm)],[c_1656,c_1877]) ).
tff(c_7442,plain,
less(n0,n0),
inference(demodulation,[status(thm),theory(equality)],[c_7406,c_1882]) ).
tff(c_7455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1660,c_7442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : CSR018+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 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
% 0.17/0.35 % Computer : n011.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 21:00:36 EDT 2023
% 0.17/0.35 % CPUTime :
% 10.40/3.46 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.40/3.47
% 10.40/3.47 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.40/3.50
% 10.40/3.50 Inference rules
% 10.40/3.50 ----------------------
% 10.40/3.50 #Ref : 0
% 10.40/3.50 #Sup : 1009
% 10.40/3.50 #Fact : 2
% 10.40/3.50 #Define : 0
% 10.40/3.50 #Split : 32
% 10.40/3.50 #Chain : 0
% 10.40/3.50 #Close : 0
% 10.40/3.50
% 10.40/3.50 Ordering : KBO
% 10.40/3.50
% 10.40/3.50 Simplification rules
% 10.40/3.50 ----------------------
% 10.40/3.50 #Subsume : 772
% 10.40/3.50 #Demod : 634
% 10.40/3.50 #Tautology : 683
% 10.40/3.50 #SimpNegUnit : 279
% 10.40/3.50 #BackRed : 348
% 10.40/3.50
% 10.40/3.50 #Partial instantiations: 0
% 10.40/3.50 #Strategies tried : 1
% 10.40/3.50
% 10.40/3.50 Timing (in seconds)
% 10.40/3.50 ----------------------
% 10.40/3.50 Preprocessing : 0.95
% 10.40/3.50 Parsing : 0.40
% 10.40/3.50 CNF conversion : 0.09
% 10.40/3.50 Main loop : 1.48
% 10.40/3.50 Inferencing : 0.41
% 10.40/3.50 Reduction : 0.52
% 10.40/3.50 Demodulation : 0.33
% 10.40/3.51 BG Simplification : 0.14
% 10.40/3.51 Subsumption : 0.40
% 10.40/3.51 Abstraction : 0.04
% 10.40/3.51 MUC search : 0.00
% 10.40/3.51 Cooper : 0.00
% 10.40/3.51 Total : 2.49
% 10.40/3.51 Index Insertion : 0.00
% 10.40/3.51 Index Deletion : 0.00
% 10.40/3.51 Index Matching : 0.00
% 10.40/3.51 BG Taut test : 0.00
%------------------------------------------------------------------------------