TSTP Solution File: NUM530+1 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM530+1 : TPTP v8.1.2. Released v4.0.0.
% 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 : n006.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 10:52:00 EDT 2023
% Result : Theorem 3.72s 1.76s
% Output : CNFRefutation 3.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 24 ( 5 unt; 19 typ; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 13 >; 9 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xq > xp > xn > xm > sz10 > sz00 > #skF_4 > #skF_3 > #skF_2 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xq,type,
xq: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff(sz10,type,
sz10: $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_3',type,
'#skF_3': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(xp,type,
xp: $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(sdtsldt0,type,
sdtsldt0: ( $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff(f_481,hypothesis,
~ isPrime0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3161) ).
tff(f_470,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3025) ).
tff(c_175,plain,
~ isPrime0(xp),
inference(cnfTransformation,[status(thm)],[f_481]) ).
tff(c_161,plain,
isPrime0(xp),
inference(cnfTransformation,[status(thm)],[f_470]) ).
tff(c_178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175,c_161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM530+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.15/0.35 % Computer : n006.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
% 0.15/0.35 % DateTime : Thu Aug 3 14:33:59 EDT 2023
% 0.15/0.35 % CPUTime :
% 3.72/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.72/1.77
% 3.72/1.77 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.72/1.78
% 3.72/1.78 Inference rules
% 3.72/1.78 ----------------------
% 3.72/1.78 #Ref : 0
% 3.72/1.78 #Sup : 0
% 3.72/1.78 #Fact : 0
% 3.72/1.78 #Define : 0
% 3.72/1.79 #Split : 0
% 3.72/1.79 #Chain : 0
% 3.72/1.79 #Close : 0
% 3.72/1.79
% 3.72/1.79 Ordering : KBO
% 3.72/1.79
% 3.72/1.79 Simplification rules
% 3.72/1.79 ----------------------
% 3.72/1.79 #Subsume : 83
% 3.72/1.79 #Demod : 0
% 3.72/1.79 #Tautology : 4
% 3.72/1.79 #SimpNegUnit : 1
% 3.72/1.79 #BackRed : 0
% 3.72/1.79
% 3.72/1.79 #Partial instantiations: 0
% 3.72/1.79 #Strategies tried : 1
% 3.72/1.79
% 3.72/1.79 Timing (in seconds)
% 3.72/1.79 ----------------------
% 3.72/1.79 Preprocessing : 0.68
% 3.72/1.79 Parsing : 0.34
% 3.72/1.79 CNF conversion : 0.05
% 3.72/1.79 Main loop : 0.06
% 3.72/1.79 Inferencing : 0.00
% 3.72/1.79 Reduction : 0.03
% 3.72/1.79 Demodulation : 0.02
% 3.72/1.79 BG Simplification : 0.04
% 3.72/1.79 Subsumption : 0.03
% 3.72/1.79 Abstraction : 0.01
% 3.82/1.79 MUC search : 0.00
% 3.82/1.79 Cooper : 0.00
% 3.82/1.79 Total : 0.78
% 3.82/1.79 Index Insertion : 0.00
% 3.82/1.79 Index Deletion : 0.00
% 3.82/1.79 Index Matching : 0.00
% 3.82/1.79 BG Taut test : 0.00
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