%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ024-1 : TPTP v9.0.0. Released v1.0.0.
% 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 : n021.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 : Wed Apr 9 08:25:04 PM UTC 2025
% Result : Unsatisfiable 3.40s 2.12s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 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 : 0 ( 0 >; 0 *; 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
% 0.05/0.09 % Problem : PUZ024-1 : TPTP v9.0.0. Released v1.0.0.
% 0.05/0.10 % 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
% 0.09/0.30 % Computer : n021.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 8 17:10:58 EDT 2025
% 0.09/0.30 % CPUTime :
% 3.40/2.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.40/2.13
% 3.40/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------