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TRS Stand 20472 pair #381715403
details
property
value
status
complete
benchmark
Ex2_Luc02a_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT
configuration
Default
runtime (wallclock)
0.244858026505 seconds
cpu usage
0.286816504
max memory
1.5212544E7
stage attributes
key
value
output-size
5320
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a__terms(N) -> cons(recip(a__sqr(mark(N))),terms(s(N))) 2: a__sqr(0()) -> 0() 3: a__sqr(s(X)) -> s(a__add(a__sqr(mark(X)),a__dbl(mark(X)))) 4: a__dbl(0()) -> 0() 5: a__dbl(s(X)) -> s(s(a__dbl(mark(X)))) 6: a__add(0(),X) -> mark(X) 7: a__add(s(X),Y) -> s(a__add(mark(X),mark(Y))) 8: a__first(0(),X) -> nil() 9: a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) 10: mark(terms(X)) -> a__terms(mark(X)) 11: mark(sqr(X)) -> a__sqr(mark(X)) 12: mark(add(X1,X2)) -> a__add(mark(X1),mark(X2)) 13: mark(dbl(X)) -> a__dbl(mark(X)) 14: mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) 15: mark(cons(X1,X2)) -> cons(mark(X1),X2) 16: mark(recip(X)) -> recip(mark(X)) 17: mark(s(X)) -> s(mark(X)) 18: mark(0()) -> 0() 19: mark(nil()) -> nil() 20: a__terms(X) -> terms(X) 21: a__sqr(X) -> sqr(X) 22: a__add(X1,X2) -> add(X1,X2) 23: a__dbl(X) -> dbl(X) 24: a__first(X1,X2) -> first(X1,X2) Number of strict rules: 24 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__add(0(),X) -> #mark(X) #2: #mark(dbl(X)) -> #a__dbl(mark(X)) #3: #mark(dbl(X)) -> #mark(X) #4: #a__first(s(X),cons(Y,Z)) -> #mark(Y) #5: #mark(sqr(X)) -> #a__sqr(mark(X)) #6: #mark(sqr(X)) -> #mark(X) #7: #mark(add(X1,X2)) -> #a__add(mark(X1),mark(X2)) #8: #mark(add(X1,X2)) -> #mark(X1) #9: #mark(add(X1,X2)) -> #mark(X2) #10: #mark(first(X1,X2)) -> #a__first(mark(X1),mark(X2)) #11: #mark(first(X1,X2)) -> #mark(X1) #12: #mark(first(X1,X2)) -> #mark(X2) #13: #a__add(s(X),Y) -> #a__add(mark(X),mark(Y)) #14: #a__add(s(X),Y) -> #mark(X) #15: #a__add(s(X),Y) -> #mark(Y) #16: #mark(terms(X)) -> #a__terms(mark(X)) #17: #mark(terms(X)) -> #mark(X) #18: #a__dbl(s(X)) -> #a__dbl(mark(X)) #19: #a__dbl(s(X)) -> #mark(X) #20: #mark(s(X)) -> #mark(X) #21: #mark(recip(X)) -> #mark(X) #22: #a__sqr(s(X)) -> #a__add(a__sqr(mark(X)),a__dbl(mark(X))) #23: #a__sqr(s(X)) -> #a__sqr(mark(X)) #24: #a__sqr(s(X)) -> #mark(X) #25: #a__sqr(s(X)) -> #a__dbl(mark(X)) #26: #a__sqr(s(X)) -> #mark(X) #27: #a__terms(N) -> #a__sqr(mark(N)) #28: #a__terms(N) -> #mark(N) #29: #mark(cons(X1,X2)) -> #mark(X1) Number of SCCs: 1, DPs: 29 SCC { #1..29 } POLO(Sum)... POLO(max)... succeeded. s w: x1 #a__first w: max(x1 + 2, x2 + 4) recip w: x1 + 1 dbl w: x1 #a__add w: max(x1 + 1, x2 + 2) a__add w: max(x1, x2 + 1) a__dbl w: x1 a__sqr w: x1 + 2 #a__terms w: x1 + 9 #mark w: x1 + 1 0 w: 1 nil w: 4 #a__dbl w: x1 + 1 mark w: x1 first w: max(x1 + 2, x2 + 4) a__first w: max(x1 + 2, x2 + 4) cons w: max(x1 + 5) add w: max(x1, x2 + 1) sqr w: x1 + 2 a__terms w: x1 + 8 #a__sqr w: x1 + 3 terms w: x1 + 8 USABLE RULES: { 1..24 } Removed DPs: #1 #4 #6 #9..12 #15 #17 #21 #24..29 Number of SCCs: 1, DPs: 12 SCC { #2 #3 #5 #7 #8 #13 #14 #18..20 #22 #23 } POLO(Sum)... POLO(max)... succeeded. s w: x1 #a__first w: max(x1 + 2, x2 + 4) recip w: x1 + 1 dbl w: x1 + 2 #a__add w: max(x1 + 2, x2 + 1)
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