TSTP Solution File: NUM490+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM490+3 : 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/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 : n018.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 10:51:52 EDT 2023
% Result : Theorem 4.10s 1.97s
% Output : CNFRefutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 28
% Syntax : Number of formulae : 31 ( 4 unt; 26 typ; 0 def)
% Number of atoms : 6 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3 ( 2 ~; 1 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 34 ( 17 >; 17 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 0 (; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > doDivides0 > isPrime0 > aNaturalNumber0 > sdtsldt0 > sdtpldt0 > sdtmndt0 > sdtasdt0 > #nlpp > xr > xp > xn > xm > sz10 > sz00 > #skF_4 > #skF_11 > #skF_6 > #skF_10 > #skF_5 > #skF_9 > #skF_7 > #skF_3 > #skF_2 > #skF_8 > #skF_1
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xr,type,
xr: $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': $i > $i ).
tff('#skF_11',type,
'#skF_11': $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $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('#skF_10',type,
'#skF_10': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff(aNaturalNumber0,type,
aNaturalNumber0: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(doDivides0,type,
doDivides0: ( $i * $i ) > $o ).
tff('#skF_9',type,
'#skF_9': $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
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('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
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_528,negated_conjecture,
~ ( ( sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm) )
| ( sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_524,hypothesis,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1951) ).
tff(c_443,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) != sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_528]) ).
tff(c_439,plain,
sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) = sdtasdt0(xn,xm),
inference(cnfTransformation,[status(thm)],[f_524]) ).
tff(c_444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_443,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM490+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % 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
% 0.15/0.37 % Computer : n018.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 15:28:05 EDT 2023
% 0.15/0.37 % CPUTime :
% 4.10/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.10/1.97
% 4.10/1.97 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.10/1.99
% 4.10/1.99 Inference rules
% 4.10/1.99 ----------------------
% 4.10/1.99 #Ref : 0
% 4.10/1.99 #Sup : 0
% 4.10/1.99 #Fact : 0
% 4.10/1.99 #Define : 0
% 4.10/1.99 #Split : 0
% 4.10/1.99 #Chain : 0
% 4.10/1.99 #Close : 0
% 4.10/1.99
% 4.10/1.99 Ordering : KBO
% 4.10/1.99
% 4.10/1.99 Simplification rules
% 4.10/1.99 ----------------------
% 4.10/1.99 #Subsume : 217
% 4.10/1.99 #Demod : 0
% 4.10/1.99 #Tautology : 3
% 4.10/1.99 #SimpNegUnit : 1
% 4.10/1.99 #BackRed : 0
% 4.10/1.99
% 4.10/1.99 #Partial instantiations: 0
% 4.10/1.99 #Strategies tried : 1
% 4.10/1.99
% 4.10/1.99 Timing (in seconds)
% 4.10/1.99 ----------------------
% 4.10/1.99 Preprocessing : 0.80
% 4.10/1.99 Parsing : 0.36
% 4.10/1.99 CNF conversion : 0.07
% 4.10/1.99 Main loop : 0.06
% 4.10/1.99 Inferencing : 0.00
% 4.10/1.99 Reduction : 0.02
% 4.10/1.99 Demodulation : 0.01
% 4.10/1.99 BG Simplification : 0.08
% 4.10/1.99 Subsumption : 0.03
% 4.10/1.99 Abstraction : 0.03
% 4.10/1.99 MUC search : 0.00
% 4.10/1.99 Cooper : 0.00
% 4.10/1.99 Total : 0.90
% 4.10/1.99 Index Insertion : 0.00
% 4.10/1.99 Index Deletion : 0.00
% 4.10/2.00 Index Matching : 0.00
% 4.10/2.00 BG Taut test : 0.00
%------------------------------------------------------------------------------