TSTP Solution File: PUZ005+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% 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 : Tue Aug 22 10:53:50 EDT 2023
% Result : Theorem 4.57s 2.24s
% Output : CNFRefutation 4.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 32
% Syntax : Number of formulae : 57 ( 6 unt; 21 typ; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 53 ~; 44 |; 4 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 12 >; 2 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 33 (; 32 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ lies_on_one_of > wednesday > unicorn_lies > tuesday > thursday > sunday > saturday > monday > lion_lies > friday > day > #nlpp > yesterday > a_wednesday > a_unicorn > a_tuesday > a_thursday > a_sunday > a_saturday > a_monday > a_lion > a_friday
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(saturday,type,
saturday: $i > $o ).
tff(a_lion,type,
a_lion: $i ).
tff(thursday,type,
thursday: $i > $o ).
tff(a_saturday,type,
a_saturday: $i ).
tff(lion_lies,type,
lion_lies: $i > $o ).
tff(a_friday,type,
a_friday: $i ).
tff(a_sunday,type,
a_sunday: $i ).
tff(a_tuesday,type,
a_tuesday: $i ).
tff(a_monday,type,
a_monday: $i ).
tff(wednesday,type,
wednesday: $i > $o ).
tff(friday,type,
friday: $i > $o ).
tff(lies_on_one_of,type,
lies_on_one_of: ( $i * $i * $i ) > $o ).
tff(a_wednesday,type,
a_wednesday: $i ).
tff(day,type,
day: $i > $o ).
tff(tuesday,type,
tuesday: $i > $o ).
tff(yesterday,type,
yesterday: $i > $i ).
tff(a_unicorn,type,
a_unicorn: $i ).
tff(unicorn_lies,type,
unicorn_lies: $i > $o ).
tff(a_thursday,type,
a_thursday: $i ).
tff(monday,type,
monday: $i > $o ).
tff(sunday,type,
sunday: $i > $o ).
tff(f_37,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday) ).
tff(f_113,axiom,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_does_not_lie_thursday) ).
tff(f_56,axiom,
! [X] :
( thursday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_is_a_day) ).
tff(f_147,axiom,
! [X] :
( thursday(X)
=> unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_thursday) ).
tff(f_84,axiom,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_follows_wednesday) ).
tff(f_52,axiom,
! [X] :
( wednesday(X)
=> day(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_is_a_day) ).
tff(f_108,axiom,
! [X] :
( wednesday(X)
=> lion_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_wednesday) ).
tff(f_206,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lion_lies(X)
& ~ lies_on_one_of(a_lion,X,Y) )
=> ~ lion_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_neither) ).
tff(f_268,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( unicorn_lies(X)
& ~ lies_on_one_of(a_unicorn,X,Y) )
=> unicorn_lies(Y) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_lies_on_both) ).
tff(f_275,negated_conjecture,
~ ? [X] :
( day(X)
& lies_on_one_of(a_lion,X,yesterday(X))
& lies_on_one_of(a_unicorn,X,yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_are_close_lying_days) ).
tff(f_143,axiom,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorn_does_not_lie_wednesday) ).
tff(c_8,plain,
thursday(a_thursday),
inference(cnfTransformation,[status(thm)],[f_37]) ).
tff(c_201,plain,
! [X_74] :
( ~ lion_lies(X_74)
| ~ thursday(X_74) ),
inference(cnfTransformation,[status(thm)],[f_113]) ).
tff(c_205,plain,
~ lion_lies(a_thursday),
inference(resolution,[status(thm)],[c_8,c_201]) ).
tff(c_196,plain,
! [X_73] :
( day(X_73)
| ~ thursday(X_73) ),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_200,plain,
day(a_thursday),
inference(resolution,[status(thm)],[c_8,c_196]) ).
tff(c_64,plain,
! [X_25] :
( unicorn_lies(X_25)
| ~ thursday(X_25) ),
inference(cnfTransformation,[status(thm)],[f_147]) ).
tff(c_365,plain,
! [X_93] :
( wednesday(yesterday(X_93))
| ~ thursday(X_93) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_20,plain,
! [X_3] :
( day(X_3)
| ~ wednesday(X_3) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_377,plain,
! [X_93] :
( day(yesterday(X_93))
| ~ thursday(X_93) ),
inference(resolution,[status(thm)],[c_365,c_20]) ).
tff(c_48,plain,
! [X_17] :
( lion_lies(X_17)
| ~ wednesday(X_17) ),
inference(cnfTransformation,[status(thm)],[f_108]) ).
tff(c_375,plain,
! [X_93] :
( lion_lies(yesterday(X_93))
| ~ thursday(X_93) ),
inference(resolution,[status(thm)],[c_365,c_48]) ).
tff(c_80,plain,
! [Y_39,X_37] :
( ~ lion_lies(Y_39)
| lies_on_one_of(a_lion,X_37,Y_39)
| lion_lies(X_37)
| ~ day(Y_39)
| ~ day(X_37) ),
inference(cnfTransformation,[status(thm)],[f_206]) ).
tff(c_643,plain,
! [Y_138,X_139] :
( unicorn_lies(Y_138)
| lies_on_one_of(a_unicorn,X_139,Y_138)
| ~ unicorn_lies(X_139)
| ~ day(Y_138)
| ~ day(X_139) ),
inference(cnfTransformation,[status(thm)],[f_268]) ).
tff(c_92,plain,
! [X_55] :
( ~ lies_on_one_of(a_unicorn,X_55,yesterday(X_55))
| ~ lies_on_one_of(a_lion,X_55,yesterday(X_55))
| ~ day(X_55) ),
inference(cnfTransformation,[status(thm)],[f_275]) ).
tff(c_667,plain,
! [X_142] :
( ~ lies_on_one_of(a_lion,X_142,yesterday(X_142))
| unicorn_lies(yesterday(X_142))
| ~ unicorn_lies(X_142)
| ~ day(yesterday(X_142))
| ~ day(X_142) ),
inference(resolution,[status(thm)],[c_643,c_92]) ).
tff(c_791,plain,
! [X_157] :
( unicorn_lies(yesterday(X_157))
| ~ unicorn_lies(X_157)
| ~ lion_lies(yesterday(X_157))
| lion_lies(X_157)
| ~ day(yesterday(X_157))
| ~ day(X_157) ),
inference(resolution,[status(thm)],[c_80,c_667]) ).
tff(c_62,plain,
! [X_24] :
( ~ unicorn_lies(X_24)
| ~ wednesday(X_24) ),
inference(cnfTransformation,[status(thm)],[f_143]) ).
tff(c_376,plain,
! [X_93] :
( ~ unicorn_lies(yesterday(X_93))
| ~ thursday(X_93) ),
inference(resolution,[status(thm)],[c_365,c_62]) ).
tff(c_835,plain,
! [X_161] :
( ~ thursday(X_161)
| ~ unicorn_lies(X_161)
| ~ lion_lies(yesterday(X_161))
| lion_lies(X_161)
| ~ day(yesterday(X_161))
| ~ day(X_161) ),
inference(resolution,[status(thm)],[c_791,c_376]) ).
tff(c_882,plain,
! [X_168] :
( ~ unicorn_lies(X_168)
| lion_lies(X_168)
| ~ day(yesterday(X_168))
| ~ day(X_168)
| ~ thursday(X_168) ),
inference(resolution,[status(thm)],[c_375,c_835]) ).
tff(c_911,plain,
! [X_169] :
( ~ unicorn_lies(X_169)
| lion_lies(X_169)
| ~ day(X_169)
| ~ thursday(X_169) ),
inference(resolution,[status(thm)],[c_377,c_882]) ).
tff(c_932,plain,
! [X_170] :
( lion_lies(X_170)
| ~ day(X_170)
| ~ thursday(X_170) ),
inference(resolution,[status(thm)],[c_64,c_911]) ).
tff(c_938,plain,
( lion_lies(a_thursday)
| ~ day(a_thursday) ),
inference(resolution,[status(thm)],[c_8,c_932]) ).
tff(c_942,plain,
lion_lies(a_thursday),
inference(demodulation,[status(thm),theory(equality)],[c_200,c_938]) ).
tff(c_944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_205,c_942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ005+1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % 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
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 17:34:03 EDT 2023
% 0.14/0.35 % CPUTime :
% 4.57/2.24 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.57/2.25
% 4.57/2.25 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.57/2.28
% 4.57/2.28 Inference rules
% 4.57/2.28 ----------------------
% 4.57/2.28 #Ref : 0
% 4.57/2.28 #Sup : 183
% 4.57/2.28 #Fact : 0
% 4.57/2.28 #Define : 0
% 4.57/2.28 #Split : 0
% 4.57/2.28 #Chain : 0
% 4.57/2.28 #Close : 0
% 4.57/2.28
% 4.57/2.28 Ordering : KBO
% 4.57/2.28
% 4.57/2.28 Simplification rules
% 4.57/2.28 ----------------------
% 4.57/2.28 #Subsume : 60
% 4.57/2.28 #Demod : 4
% 4.57/2.28 #Tautology : 16
% 4.57/2.28 #SimpNegUnit : 1
% 4.57/2.28 #BackRed : 0
% 4.57/2.28
% 4.57/2.28 #Partial instantiations: 0
% 4.57/2.28 #Strategies tried : 1
% 4.57/2.28
% 4.57/2.28 Timing (in seconds)
% 4.57/2.28 ----------------------
% 4.57/2.28 Preprocessing : 0.55
% 4.57/2.28 Parsing : 0.31
% 4.57/2.28 CNF conversion : 0.04
% 4.57/2.28 Main loop : 0.58
% 4.57/2.28 Inferencing : 0.24
% 4.57/2.28 Reduction : 0.14
% 4.57/2.28 Demodulation : 0.09
% 4.57/2.28 BG Simplification : 0.03
% 4.57/2.28 Subsumption : 0.12
% 4.57/2.28 Abstraction : 0.02
% 4.57/2.28 MUC search : 0.00
% 4.57/2.28 Cooper : 0.00
% 4.57/2.28 Total : 1.17
% 4.57/2.28 Index Insertion : 0.00
% 4.57/2.28 Index Deletion : 0.00
% 4.57/2.29 Index Matching : 0.00
% 4.57/2.29 BG Taut test : 0.00
%------------------------------------------------------------------------------