TSTP Solution File: PUZ035-2 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ035-2 : TPTP v8.1.2. 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 : n023.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 10:54:05 EDT 2023
% Result : Unsatisfiable 3.34s 1.78s
% Output : CNFRefutation 3.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 49 ( 24 unt; 11 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 : 6 ( 5 >; 1 *; 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_136,axiom,
! [A,X,Y] :
( ~ response(A)
| ~ isa(asked,X)
| ~ isa(other,Y) ),
file(unknown,unknown) ).
tff(f_124,axiom,
( response(yes)
| response(no) ),
file(unknown,unknown) ).
tff(f_126,axiom,
person(asked),
file(unknown,unknown) ).
tff(f_38,axiom,
! [X] :
( ~ person(X)
| isa(X,knight)
| isa(X,knave) ),
file(unknown,unknown) ).
tff(f_127,axiom,
person(other),
file(unknown,unknown) ).
tff(c_32,plain,
! [Y_12,X_11,A_10] :
( ~ isa(other,Y_12)
| ~ isa(asked,X_11)
| ~ response(A_10) ),
inference(cnfTransformation,[status(thm)],[f_136]) ).
tff(c_120,plain,
! [A_10] : ~ response(A_10),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_57,plain,
! [A_10] : ~ response(A_10),
inference(splitLeft,[status(thm)],[c_32]) ).
tff(c_26,plain,
( response(no)
| response(yes) ),
inference(cnfTransformation,[status(thm)],[f_124]) ).
tff(c_33,plain,
response(yes),
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_59,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57,c_33]) ).
tff(c_60,plain,
! [Y_12,X_11] :
( ~ isa(other,Y_12)
| ~ isa(asked,X_11) ),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_61,plain,
! [X_11] : ~ isa(asked,X_11),
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_28,plain,
person(asked),
inference(cnfTransformation,[status(thm)],[f_126]) ).
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_62,plain,
! [X_19] : ~ isa(asked,X_19),
inference(splitLeft,[status(thm)],[c_60]) ).
tff(c_66,plain,
( isa(asked,knave)
| ~ person(asked) ),
inference(resolution,[status(thm)],[c_2,c_62]) ).
tff(c_69,plain,
isa(asked,knave),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_66]) ).
tff(c_71,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61,c_69]) ).
tff(c_72,plain,
! [Y_12] : ~ isa(other,Y_12),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_30,plain,
person(other),
inference(cnfTransformation,[status(thm)],[f_127]) ).
tff(c_89,plain,
! [Y_20] : ~ isa(other,Y_20),
inference(splitRight,[status(thm)],[c_60]) ).
tff(c_93,plain,
( isa(other,knave)
| ~ person(other) ),
inference(resolution,[status(thm)],[c_2,c_89]) ).
tff(c_96,plain,
isa(other,knave),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_93]) ).
tff(c_98,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72,c_96]) ).
tff(c_99,plain,
response(no),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_120,c_99]) ).
tff(c_123,plain,
! [Y_12,X_11] :
( ~ isa(other,Y_12)
| ~ isa(asked,X_11) ),
inference(splitRight,[status(thm)],[c_32]) ).
tff(c_124,plain,
! [X_11] : ~ isa(asked,X_11),
inference(splitLeft,[status(thm)],[c_123]) ).
tff(c_126,plain,
! [X_27] :
( isa(X_27,knave)
| isa(X_27,knight)
| ~ person(X_27) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_130,plain,
( isa(asked,knave)
| ~ person(asked) ),
inference(resolution,[status(thm)],[c_126,c_124]) ).
tff(c_139,plain,
isa(asked,knave),
inference(demodulation,[status(thm),theory(equality)],[c_28,c_130]) ).
tff(c_141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_124,c_139]) ).
tff(c_142,plain,
! [Y_12] : ~ isa(other,Y_12),
inference(splitRight,[status(thm)],[c_123]) ).
tff(c_144,plain,
! [X_29] :
( isa(X_29,knave)
| isa(X_29,knight)
| ~ person(X_29) ),
inference(cnfTransformation,[status(thm)],[f_38]) ).
tff(c_148,plain,
( isa(other,knave)
| ~ person(other) ),
inference(resolution,[status(thm)],[c_144,c_142]) ).
tff(c_157,plain,
isa(other,knave),
inference(demodulation,[status(thm),theory(equality)],[c_30,c_148]) ).
tff(c_159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142,c_157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ035-2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 17:55:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.34/1.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.34/1.79
% 3.34/1.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.42/1.82
% 3.42/1.82 Inference rules
% 3.42/1.82 ----------------------
% 3.42/1.82 #Ref : 0
% 3.42/1.82 #Sup : 15
% 3.42/1.82 #Fact : 0
% 3.42/1.82 #Define : 0
% 3.42/1.82 #Split : 9
% 3.42/1.82 #Chain : 0
% 3.42/1.82 #Close : 0
% 3.42/1.82
% 3.42/1.82 Ordering : KBO
% 3.42/1.82
% 3.42/1.82 Simplification rules
% 3.42/1.82 ----------------------
% 3.42/1.82 #Subsume : 5
% 3.42/1.82 #Demod : 9
% 3.42/1.82 #Tautology : 4
% 3.42/1.82 #SimpNegUnit : 9
% 3.42/1.82 #BackRed : 2
% 3.42/1.82
% 3.42/1.82 #Partial instantiations: 0
% 3.42/1.82 #Strategies tried : 1
% 3.42/1.82
% 3.42/1.82 Timing (in seconds)
% 3.42/1.82 ----------------------
% 3.42/1.82 Preprocessing : 0.45
% 3.42/1.82 Parsing : 0.24
% 3.42/1.82 CNF conversion : 0.02
% 3.42/1.82 Main loop : 0.25
% 3.42/1.82 Inferencing : 0.11
% 3.42/1.82 Reduction : 0.06
% 3.42/1.82 Demodulation : 0.04
% 3.42/1.82 BG Simplification : 0.02
% 3.42/1.82 Subsumption : 0.05
% 3.42/1.82 Abstraction : 0.01
% 3.42/1.82 MUC search : 0.00
% 3.42/1.82 Cooper : 0.00
% 3.42/1.82 Total : 0.75
% 3.42/1.82 Index Insertion : 0.00
% 3.42/1.82 Index Deletion : 0.00
% 3.42/1.82 Index Matching : 0.00
% 3.42/1.82 BG Taut test : 0.00
%------------------------------------------------------------------------------