TSTP Solution File: PUZ024-1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ024-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : n008.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 10:54:02 EDT 2023
% Result : Unsatisfiable 2.70s 1.66s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of formulae : 25 ( 9 unt; 10 typ; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 20 (; 20 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ people > a_truth > says > #nlpp > truthteller > liar > one_truthteller > c > b > all_are_liars > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(liar,type,
liar: $i > $i ).
tff(people,type,
people: ( $i * $i * $i ) > $o ).
tff(b,type,
b: $i ).
tff(a_truth,type,
a_truth: $i > $o ).
tff(truthteller,type,
truthteller: $i > $i ).
tff(says,type,
says: ( $i * $i ) > $i ).
tff(all_are_liars,type,
all_are_liars: $i ).
tff(one_truthteller,type,
one_truthteller: $i ).
tff(c,type,
c: $i ).
tff(f_203,axiom,
a_truth(says(a,all_are_liars)),
file(unknown,unknown) ).
tff(f_209,axiom,
! [Truthteller] : ~ a_truth(truthteller(Truthteller)),
file(unknown,unknown) ).
tff(f_84,axiom,
! [Statement,Truthteller] :
( ~ a_truth(Statement)
| ~ a_truth(says(Truthteller,Statement))
| a_truth(truthteller(Truthteller)) ),
file(unknown,unknown) ).
tff(f_199,axiom,
! [X,Y,Z] :
( a_truth(all_are_liars)
| ~ people(X,Y,Z)
| a_truth(truthteller(X))
| a_truth(truthteller(Y))
| a_truth(truthteller(Z)) ),
file(unknown,unknown) ).
tff(f_200,axiom,
people(b,c,a),
file(unknown,unknown) ).
tff(c_36,plain,
a_truth(says(a,all_are_liars)),
inference(cnfTransformation,[status(thm)],[f_203]) ).
tff(c_40,plain,
! [Truthteller_35] : ~ a_truth(truthteller(Truthteller_35)),
inference(cnfTransformation,[status(thm)],[f_209]) ).
tff(c_10,plain,
! [Truthteller_8,Statement_7] :
( a_truth(truthteller(Truthteller_8))
| ~ a_truth(says(Truthteller_8,Statement_7))
| ~ a_truth(Statement_7) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_52,plain,
! [Truthteller_38,Statement_39] :
( ~ a_truth(says(Truthteller_38,Statement_39))
| ~ a_truth(Statement_39) ),
inference(negUnitSimplification,[status(thm)],[c_40,c_10]) ).
tff(c_59,plain,
~ a_truth(all_are_liars),
inference(resolution,[status(thm)],[c_36,c_52]) ).
tff(c_28,plain,
! [Z_34,Y_33,X_32] :
( a_truth(truthteller(Z_34))
| a_truth(truthteller(Y_33))
| a_truth(truthteller(X_32))
| ~ people(X_32,Y_33,Z_34)
| a_truth(all_are_liars) ),
inference(cnfTransformation,[status(thm)],[f_199]) ).
tff(c_41,plain,
! [X_32,Y_33,Z_34] :
( ~ people(X_32,Y_33,Z_34)
| a_truth(all_are_liars) ),
inference(negUnitSimplification,[status(thm)],[c_40,c_40,c_40,c_28]) ).
tff(c_61,plain,
! [X_32,Y_33,Z_34] : ~ people(X_32,Y_33,Z_34),
inference(negUnitSimplification,[status(thm)],[c_59,c_41]) ).
tff(c_30,plain,
people(b,c,a),
inference(cnfTransformation,[status(thm)],[f_200]) ).
tff(c_65,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61,c_30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ024-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % 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 : n008.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 : Thu Aug 3 17:39:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 2.70/1.66 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.70/1.66
% 2.70/1.66 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.70/1.69
% 2.70/1.69 Inference rules
% 2.70/1.69 ----------------------
% 2.70/1.69 #Ref : 0
% 2.70/1.69 #Sup : 2
% 2.70/1.69 #Fact : 0
% 2.70/1.69 #Define : 0
% 2.70/1.69 #Split : 1
% 2.70/1.69 #Chain : 0
% 2.70/1.69 #Close : 0
% 2.70/1.69
% 2.70/1.69 Ordering : KBO
% 2.70/1.69
% 2.70/1.69 Simplification rules
% 2.70/1.69 ----------------------
% 2.70/1.69 #Subsume : 9
% 2.70/1.69 #Demod : 4
% 2.70/1.69 #Tautology : 2
% 2.70/1.69 #SimpNegUnit : 9
% 2.70/1.69 #BackRed : 3
% 2.70/1.69
% 2.70/1.69 #Partial instantiations: 0
% 2.70/1.69 #Strategies tried : 1
% 2.70/1.69
% 2.70/1.69 Timing (in seconds)
% 2.70/1.69 ----------------------
% 2.70/1.70 Preprocessing : 0.43
% 2.70/1.70 Parsing : 0.20
% 2.70/1.70 CNF conversion : 0.03
% 2.70/1.70 Main loop : 0.17
% 2.70/1.70 Inferencing : 0.05
% 2.70/1.70 Reduction : 0.05
% 2.70/1.70 Demodulation : 0.04
% 2.70/1.70 BG Simplification : 0.02
% 2.70/1.70 Subsumption : 0.04
% 2.70/1.70 Abstraction : 0.01
% 2.70/1.70 MUC search : 0.00
% 2.70/1.70 Cooper : 0.00
% 2.70/1.70 Total : 0.65
% 2.70/1.70 Index Insertion : 0.00
% 2.70/1.70 Index Deletion : 0.00
% 2.70/1.70 Index Matching : 0.00
% 2.70/1.70 BG Taut test : 0.00
%------------------------------------------------------------------------------