%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ032-1 : 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 : n022.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 08:25:06 PM UTC 2025
% Result : Unsatisfiable 2.87s 1.75s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 47 ( 27 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 41 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ a_truth > says > #nlpp > truthteller > liar > mumble > c > b > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(liar,type,
liar: $i > $i ).
tff(b,type,
b: $i ).
tff(mumble,type,
mumble: $i ).
tff(a_truth,type,
a_truth: $i > $o ).
tff(truthteller,type,
truthteller: $i > $i ).
tff(says,type,
says: ( $i * $i ) > $i ).
tff(c,type,
c: $i ).
tff(f_101,axiom,
~ a_truth(truthteller(c)),
file(unknown,unknown) ).
tff(f_99,axiom,
a_truth(says(c,liar(b))),
file(unknown,unknown) ).
tff(f_87,axiom,
! [Statement,Truthteller] :
( ~ a_truth(Statement)
| ~ a_truth(says(Truthteller,Statement))
| a_truth(truthteller(Truthteller)) ),
file(unknown,unknown) ).
tff(f_56,axiom,
! [X] :
( a_truth(truthteller(X))
| a_truth(liar(X)) ),
file(unknown,unknown) ).
tff(f_98,axiom,
a_truth(says(b,says(a,liar(a)))),
file(unknown,unknown) ).
tff(f_70,axiom,
! [Truthteller,Statement] :
( ~ a_truth(truthteller(Truthteller))
| ~ a_truth(says(Truthteller,Statement))
| a_truth(Statement) ),
file(unknown,unknown) ).
tff(f_79,axiom,
! [Liar,Statement] :
( ~ a_truth(liar(Liar))
| ~ a_truth(says(Liar,Statement))
| ~ a_truth(Statement) ),
file(unknown,unknown) ).
tff(f_97,axiom,
a_truth(says(a,mumble)),
file(unknown,unknown) ).
tff(f_62,axiom,
! [X] :
( ~ a_truth(truthteller(X))
| ~ a_truth(liar(X)) ),
file(unknown,unknown) ).
tff(c_20,plain,
~ a_truth(truthteller(c)),
inference(cnfTransformation,[status(thm)],[f_101]) ).
tff(c_18,plain,
a_truth(says(c,liar(b))),
inference(cnfTransformation,[status(thm)],[f_99]) ).
tff(c_31,plain,
! [Truthteller_13,Statement_14] :
( a_truth(truthteller(Truthteller_13))
| ~ a_truth(says(Truthteller_13,Statement_14))
| ~ a_truth(Statement_14) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_37,plain,
( a_truth(truthteller(c))
| ~ a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_18,c_31]) ).
tff(c_44,plain,
~ a_truth(liar(b)),
inference(negUnitSimplification,[status(thm)],[c_20,c_37]) ).
tff(c_2,plain,
! [X_1] :
( a_truth(liar(X_1))
| a_truth(truthteller(X_1)) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_16,plain,
a_truth(says(b,says(a,liar(a)))),
inference(cnfTransformation,[status(thm)],[f_98]) ).
tff(c_41,plain,
( a_truth(truthteller(b))
| ~ a_truth(says(a,liar(a))) ),
inference(resolution,[status(thm)],[c_16,c_31]) ).
tff(c_62,plain,
~ a_truth(says(a,liar(a))),
inference(splitLeft,[status(thm)],[c_41]) ).
tff(c_63,plain,
! [Statement_17,Truthteller_18] :
( a_truth(Statement_17)
| ~ a_truth(says(Truthteller_18,Statement_17))
| ~ a_truth(truthteller(Truthteller_18)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_66,plain,
( a_truth(says(a,liar(a)))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[c_16,c_63]) ).
tff(c_75,plain,
~ a_truth(truthteller(b)),
inference(negUnitSimplification,[status(thm)],[c_62,c_66]) ).
tff(c_83,plain,
a_truth(liar(b)),
inference(resolution,[status(thm)],[c_2,c_75]) ).
tff(c_87,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_83]) ).
tff(c_89,plain,
a_truth(says(a,liar(a))),
inference(splitRight,[status(thm)],[c_41]) ).
tff(c_8,plain,
! [Statement_6,Liar_5] :
( ~ a_truth(Statement_6)
| ~ a_truth(says(Liar_5,Statement_6))
| ~ a_truth(liar(Liar_5)) ),
inference(cnfTransformation,[status(thm)],[f_79]) ).
tff(c_100,plain,
~ a_truth(liar(a)),
inference(resolution,[status(thm)],[c_89,c_8]) ).
tff(c_14,plain,
a_truth(says(a,mumble)),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_45,plain,
( a_truth(truthteller(a))
| ~ a_truth(mumble) ),
inference(resolution,[status(thm)],[c_14,c_31]) ).
tff(c_61,plain,
~ a_truth(mumble),
inference(splitLeft,[status(thm)],[c_45]) ).
tff(c_102,plain,
! [Statement_19,Truthteller_20] :
( a_truth(Statement_19)
| ~ a_truth(says(Truthteller_20,Statement_19))
| ~ a_truth(truthteller(Truthteller_20)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_114,plain,
( a_truth(mumble)
| ~ a_truth(truthteller(a)) ),
inference(resolution,[status(thm)],[c_14,c_102]) ).
tff(c_123,plain,
~ a_truth(truthteller(a)),
inference(negUnitSimplification,[status(thm)],[c_61,c_114]) ).
tff(c_127,plain,
a_truth(liar(a)),
inference(resolution,[status(thm)],[c_2,c_123]) ).
tff(c_128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100,c_127]) ).
tff(c_129,plain,
a_truth(truthteller(a)),
inference(splitRight,[status(thm)],[c_45]) ).
tff(c_4,plain,
! [X_2] :
( ~ a_truth(liar(X_2))
| ~ a_truth(truthteller(X_2)) ),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_134,plain,
~ a_truth(liar(a)),
inference(resolution,[status(thm)],[c_129,c_4]) ).
tff(c_135,plain,
! [Statement_21,Truthteller_22] :
( a_truth(Statement_21)
| ~ a_truth(says(Truthteller_22,Statement_21))
| ~ a_truth(truthteller(Truthteller_22)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_145,plain,
( a_truth(says(a,liar(a)))
| ~ a_truth(truthteller(b)) ),
inference(resolution,[status(thm)],[c_16,c_135]) ).
tff(c_153,plain,
~ a_truth(truthteller(b)),
inference(splitLeft,[status(thm)],[c_145]) ).
tff(c_175,plain,
a_truth(liar(b)),
inference(resolution,[status(thm)],[c_2,c_153]) ).
tff(c_179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44,c_175]) ).
tff(c_180,plain,
a_truth(says(a,liar(a))),
inference(splitRight,[status(thm)],[c_145]) ).
tff(c_6,plain,
! [Statement_4,Truthteller_3] :
( a_truth(Statement_4)
| ~ a_truth(says(Truthteller_3,Statement_4))
| ~ a_truth(truthteller(Truthteller_3)) ),
inference(cnfTransformation,[status(thm)],[f_70]) ).
tff(c_188,plain,
( a_truth(liar(a))
| ~ a_truth(truthteller(a)) ),
inference(resolution,[status(thm)],[c_180,c_6]) ).
tff(c_197,plain,
a_truth(liar(a)),
inference(demodulation,[status(thm),theory(equality)],[c_129,c_188]) ).
tff(c_199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ032-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % 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
% 0.13/0.34 % Computer : n022.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 : Tue Apr 8 17:12:20 EDT 2025
% 0.13/0.34 % CPUTime :
% 2.87/1.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.87/1.76
% 2.87/1.76 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------