TSTP Solution File: PUZ027-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ027-1 : 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/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 : n001.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 3.64s 1.95s
% Output : CNFRefutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 76 ( 21 unt; 19 typ; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 127 ( 68 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 8 >; 3 *; 0 +; 0 <<)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 7 (; 7 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ answer > a_truth > says > not_lower > lower > #nlpp > truthteller > normal > liar > b > a_truthteller_b_normal > a_truthteller_b_liar > a_normal_b_truthteller > a_normal_b_liar > a_liar_b_truthteller > a_liar_b_normal > a_and_b_truthteller > a_and_b_normal > a_and_b_liar > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a_liar_b_normal,type,
a_liar_b_normal: $i ).
tff(a_normal_b_truthteller,type,
a_normal_b_truthteller: $i ).
tff(a,type,
a: $i ).
tff(a_truthteller_b_normal,type,
a_truthteller_b_normal: $i ).
tff(a_truthteller_b_liar,type,
a_truthteller_b_liar: $i ).
tff(liar,type,
liar: $i > $i ).
tff(a_and_b_truthteller,type,
a_and_b_truthteller: $i ).
tff(a_normal_b_liar,type,
a_normal_b_liar: $i ).
tff(not_lower,type,
not_lower: ( $i * $i ) > $i ).
tff(b,type,
b: $i ).
tff(normal,type,
normal: $i > $i ).
tff(a_and_b_liar,type,
a_and_b_liar: $i ).
tff(answer,type,
answer: $i > $o ).
tff(a_truth,type,
a_truth: $i > $o ).
tff(truthteller,type,
truthteller: $i > $i ).
tff(a_liar_b_truthteller,type,
a_liar_b_truthteller: $i ).
tff(a_and_b_normal,type,
a_and_b_normal: $i ).
tff(says,type,
says: ( $i * $i ) > $i ).
tff(lower,type,
lower: ( $i * $i ) > $i ).
tff(f_276,axiom,
! [Answer] : ~ answer(Answer),
file(unknown,unknown) ).
tff(f_273,axiom,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| answer(a_and_b_liar) ),
file(unknown,unknown) ).
tff(f_252,axiom,
( ~ a_truth(normal(a))
| ~ a_truth(liar(b))
| answer(a_normal_b_liar) ),
file(unknown,unknown) ).
tff(f_59,axiom,
! [X] :
( a_truth(truthteller(X))
| a_truth(liar(X))
| a_truth(normal(X)) ),
file(unknown,unknown) ).
tff(f_231,axiom,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(b))
| answer(a_truthteller_b_liar) ),
file(unknown,unknown) ).
tff(f_245,axiom,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
file(unknown,unknown) ).
tff(f_238,axiom,
( ~ a_truth(normal(a))
| ~ a_truth(truthteller(b))
| answer(a_normal_b_truthteller) ),
file(unknown,unknown) ).
tff(f_224,axiom,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(b))
| answer(a_truthteller_b_normal) ),
file(unknown,unknown) ).
tff(f_217,axiom,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(b))
| answer(a_and_b_truthteller) ),
file(unknown,unknown) ).
tff(f_266,axiom,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
file(unknown,unknown) ).
tff(f_259,axiom,
( ~ a_truth(liar(a))
| ~ a_truth(truthteller(b))
| answer(a_liar_b_truthteller) ),
file(unknown,unknown) ).
tff(c_64,plain,
! [Answer_36] : ~ answer(Answer_36),
inference(cnfTransformation,[status(thm)],[f_276]) ).
tff(c_62,plain,
( answer(a_and_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_65,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_62]) ).
tff(c_77,plain,
~ a_truth(liar(a)),
inference(splitLeft,[status(thm)],[c_65]) ).
tff(c_56,plain,
( answer(a_normal_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_68,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_56]) ).
tff(c_81,plain,
~ a_truth(normal(a)),
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_95,plain,
! [X_51] :
( a_truth(normal(X_51))
| a_truth(liar(X_51))
| a_truth(truthteller(X_51)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_50,plain,
( answer(a_truthteller_b_liar)
| ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
inference(cnfTransformation,[status(thm)],[f_231]) ).
tff(c_71,plain,
( ~ a_truth(liar(b))
| ~ a_truth(truthteller(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_50]) ).
tff(c_80,plain,
~ a_truth(truthteller(a)),
inference(splitLeft,[status(thm)],[c_71]) ).
tff(c_98,plain,
( a_truth(normal(a))
| a_truth(liar(a)) ),
inference(resolution,[status(thm)],[c_95,c_80]) ).
tff(c_108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77,c_81,c_98]) ).
tff(c_109,plain,
~ a_truth(liar(b)),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_110,plain,
a_truth(normal(a)),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_54,plain,
( answer(a_and_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_69,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_54]) ).
tff(c_118,plain,
~ a_truth(normal(b)),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_69]) ).
tff(c_132,plain,
! [X_61] :
( a_truth(normal(X_61))
| a_truth(liar(X_61))
| a_truth(truthteller(X_61)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_52,plain,
( answer(a_normal_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(cnfTransformation,[status(thm)],[f_238]) ).
tff(c_70,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_52]) ).
tff(c_116,plain,
~ a_truth(truthteller(b)),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_70]) ).
tff(c_135,plain,
( a_truth(normal(b))
| a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_132,c_116]) ).
tff(c_148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109,c_118,c_135]) ).
tff(c_149,plain,
~ a_truth(liar(b)),
inference(splitRight,[status(thm)],[c_71]) ).
tff(c_150,plain,
a_truth(truthteller(a)),
inference(splitRight,[status(thm)],[c_71]) ).
tff(c_48,plain,
( answer(a_truthteller_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
inference(cnfTransformation,[status(thm)],[f_224]) ).
tff(c_72,plain,
( ~ a_truth(normal(b))
| ~ a_truth(truthteller(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_48]) ).
tff(c_162,plain,
~ a_truth(normal(b)),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_72]) ).
tff(c_185,plain,
! [X_73] :
( a_truth(normal(X_73))
| a_truth(liar(X_73))
| a_truth(truthteller(X_73)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_46,plain,
( answer(a_and_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(cnfTransformation,[status(thm)],[f_217]) ).
tff(c_73,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_46]) ).
tff(c_160,plain,
~ a_truth(truthteller(b)),
inference(demodulation,[status(thm),theory(equality)],[c_150,c_73]) ).
tff(c_188,plain,
( a_truth(normal(b))
| a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_185,c_160]) ).
tff(c_198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149,c_162,c_188]) ).
tff(c_199,plain,
~ a_truth(liar(b)),
inference(splitRight,[status(thm)],[c_65]) ).
tff(c_200,plain,
a_truth(liar(a)),
inference(splitRight,[status(thm)],[c_65]) ).
tff(c_60,plain,
( answer(a_liar_b_normal)
| ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(cnfTransformation,[status(thm)],[f_266]) ).
tff(c_66,plain,
( ~ a_truth(normal(b))
| ~ a_truth(liar(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_60]) ).
tff(c_203,plain,
~ a_truth(normal(b)),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_66]) ).
tff(c_231,plain,
! [X_87] :
( a_truth(normal(X_87))
| a_truth(liar(X_87))
| a_truth(truthteller(X_87)) ),
inference(cnfTransformation,[status(thm)],[f_59]) ).
tff(c_58,plain,
( answer(a_liar_b_truthteller)
| ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(cnfTransformation,[status(thm)],[f_259]) ).
tff(c_67,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a)) ),
inference(negUnitSimplification,[status(thm)],[c_64,c_58]) ).
tff(c_208,plain,
~ a_truth(truthteller(b)),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_67]) ).
tff(c_234,plain,
( a_truth(normal(b))
| a_truth(liar(b)) ),
inference(resolution,[status(thm)],[c_231,c_208]) ).
tff(c_247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199,c_203,c_234]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ027-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n001.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 18:07:55 EDT 2023
% 0.15/0.36 % CPUTime :
% 3.64/1.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/1.96
% 3.64/1.96 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.64/1.99
% 3.64/1.99 Inference rules
% 3.64/1.99 ----------------------
% 3.64/1.99 #Ref : 0
% 3.64/1.99 #Sup : 29
% 3.64/1.99 #Fact : 0
% 3.64/1.99 #Define : 0
% 3.64/1.99 #Split : 5
% 3.64/1.99 #Chain : 0
% 3.64/1.99 #Close : 0
% 3.64/1.99
% 3.64/1.99 Ordering : KBO
% 3.64/1.99
% 3.64/1.99 Simplification rules
% 3.64/1.99 ----------------------
% 3.64/1.99 #Subsume : 25
% 3.64/1.99 #Demod : 6
% 3.64/1.99 #Tautology : 4
% 3.64/1.99 #SimpNegUnit : 13
% 3.64/1.99 #BackRed : 0
% 3.64/1.99
% 3.64/1.99 #Partial instantiations: 0
% 3.64/1.99 #Strategies tried : 1
% 3.64/1.99
% 3.64/1.99 Timing (in seconds)
% 3.64/1.99 ----------------------
% 3.64/1.99 Preprocessing : 0.50
% 3.64/1.99 Parsing : 0.23
% 3.64/1.99 CNF conversion : 0.03
% 3.64/1.99 Main loop : 0.34
% 3.64/1.99 Inferencing : 0.14
% 3.64/1.99 Reduction : 0.09
% 3.64/1.99 Demodulation : 0.06
% 3.64/1.99 BG Simplification : 0.02
% 3.64/1.99 Subsumption : 0.06
% 3.64/1.99 Abstraction : 0.01
% 3.64/1.99 MUC search : 0.00
% 3.64/1.99 Cooper : 0.00
% 3.64/2.00 Total : 0.89
% 3.64/2.00 Index Insertion : 0.00
% 3.64/2.00 Index Deletion : 0.00
% 3.64/2.00 Index Matching : 0.00
% 3.64/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------