%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ035-1 : TPTP v9.0.0. Released v2.0.0.
% 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 : n013.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 08:25:07 PM UTC 2025
% Result : Unsatisfiable 2.64s 1.60s
% Output : CNFRefutation 2.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ isa > tell_the_truth > response > person > lies > #nlpp > yes > other > no > knight > knave > asked
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(knight,type,
knight: $i ).
tff(yes,type,
yes: $i ).
tff(no,type,
no: $i ).
tff(isa,type,
isa: ( $i * $i ) > $o ).
tff(other,type,
other: $i ).
tff(knave,type,
knave: $i ).
tff(tell_the_truth,type,
tell_the_truth: $i > $o ).
tff(lies,type,
lies: $i > $o ).
tff(response,type,
response: $i > $o ).
tff(person,type,
person: $i > $o ).
tff(asked,type,
asked: $i ).
tff(f_128,axiom,
! [A,X,Y] :
( ~ response(A)
| ~ isa(asked,X)
| ~ isa(other,Y) ),
file(unknown,unknown) ).
tff(f_116,axiom,
( response(yes)
| response(no) ),
file(unknown,unknown) ).
tff(f_118,axiom,
person(asked),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X] :
( ~ person(X)
| isa(X,knight)
| isa(X,knave) ),
file(unknown,unknown) ).
tff(f_119,axiom,
person(other),
file(unknown,unknown) ).
tff(c_30,plain,
! [Y_11,X_10,A_9] :
( ~ isa(other,Y_11)
| ~ isa(asked,X_10)
| ~ response(A_9) ),
inference(cnfTransformation,[status(thm)],[f_128]) ).
tff(c_108,plain,
! [A_9] : ~ response(A_9),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_55,plain,
! [A_9] : ~ response(A_9),
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_24,plain,
( response(no)
| response(yes) ),
inference(cnfTransformation,[status(thm)],[f_116]) ).
tff(c_31,plain,
response(yes),
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_57,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55,c_31]) ).
tff(c_58,plain,
! [Y_11,X_10] :
( ~ isa(other,Y_11)
| ~ isa(asked,X_10) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_59,plain,
! [X_10] : ~ isa(asked,X_10),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_26,plain,
person(asked),
inference(cnfTransformation,[status(thm)],[f_118]) ).
tff(c_2,plain,
! [X_1] :
( isa(X_1,knave)
| isa(X_1,knight)
| ~ person(X_1) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_60,plain,
! [X_18] : ~ isa(asked,X_18),
inference(splitLeft,[status(thm)],[c_58]) ).
tff(c_68,plain,
( isa(asked,knave)
| ~ person(asked) ),
inference(resolution,[status(thm)],[c_2,c_60]) ).
tff(c_74,plain,
isa(asked,knave),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_68]) ).
tff(c_76,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59,c_74]) ).
tff(c_77,plain,
! [Y_11] : ~ isa(other,Y_11),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_28,plain,
person(other),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_81,plain,
! [Y_19] : ~ isa(other,Y_19),
inference(splitRight,[status(thm)],[c_58]) ).
tff(c_89,plain,
( isa(other,knave)
| ~ person(other) ),
inference(resolution,[status(thm)],[c_2,c_81]) ).
tff(c_95,plain,
isa(other,knave),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_89]) ).
tff(c_97,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77,c_95]) ).
tff(c_98,plain,
response(no),
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108,c_98]) ).
tff(c_111,plain,
! [Y_11,X_10] :
( ~ isa(other,Y_11)
| ~ isa(asked,X_10) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_112,plain,
! [X_10] : ~ isa(asked,X_10),
inference(splitLeft,[status(thm)],[c_111]) ).
tff(c_114,plain,
! [X_25] :
( isa(X_25,knave)
| isa(X_25,knight)
| ~ person(X_25) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_118,plain,
( isa(asked,knave)
| ~ person(asked) ),
inference(resolution,[status(thm)],[c_114,c_112]) ).
tff(c_127,plain,
isa(asked,knave),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_118]) ).
tff(c_129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112,c_127]) ).
tff(c_130,plain,
! [Y_11] : ~ isa(other,Y_11),
inference(splitRight,[status(thm)],[c_111]) ).
tff(c_132,plain,
! [X_27] :
( isa(X_27,knave)
| isa(X_27,knight)
| ~ person(X_27) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_136,plain,
( isa(other,knave)
| ~ person(other) ),
inference(resolution,[status(thm)],[c_132,c_130]) ).
tff(c_145,plain,
isa(other,knave),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_136]) ).
tff(c_147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ035-1 : TPTP v9.0.0. Released v2.0.0.
% 0.13/0.13 % 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
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 8 17:11:47 EDT 2025
% 0.19/0.34 % CPUTime :
% 2.64/1.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.64/1.61
% 2.64/1.61 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------