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TRS Standard pair #516963023
details
property
value
status
complete
benchmark
Ex2_Luc02a_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0863628387451 seconds
cpu usage
0.043554116
max memory
9654272.0
stage attributes
key
value
output-size
2027
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: terms(N) -> cons(recip(sqr(N))) 2: sqr(0()) -> 0() 3: sqr(s(X)) -> s(add(sqr(X),dbl(X))) 4: dbl(0()) -> 0() 5: dbl(s(X)) -> s(s(dbl(X))) 6: add(0(),X) -> X 7: add(s(X),Y) -> s(add(X,Y)) 8: first(0(),X) -> nil() 9: first(s(X),cons(Y)) -> cons(Y) Number of strict rules: 9 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #add(s(X),Y) -> #add(X,Y) #2: #dbl(s(X)) -> #dbl(X) #3: #sqr(s(X)) -> #add(sqr(X),dbl(X)) #4: #sqr(s(X)) -> #sqr(X) #5: #sqr(s(X)) -> #dbl(X) #6: #terms(N) -> #sqr(N) Number of SCCs: 3, DPs: 3 SCC { #4 } Sum... succeeded. s(x1) w: (1 + x1) recip(x1) w: (0) dbl(x1) w: (0) #dbl(x1) w: (0) #terms(x1) w: (0) #sqr(x1) w: (x1) 0() w: (0) #first(x1,x2) w: (0) nil() w: (0) first(x1,x2) w: (0) cons(x1) w: (0) #add(x1,x2) w: (0) add(x1,x2) w: (0) sqr(x1) w: (0) terms(x1) w: (0) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 2, DPs: 2 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) recip(x1) w: (0) dbl(x1) w: (0) #dbl(x1) w: (x1) #terms(x1) w: (0) #sqr(x1) w: (0) 0() w: (0) #first(x1,x2) w: (0) nil() w: (0) first(x1,x2) w: (0) cons(x1) w: (0) #add(x1,x2) w: (0) add(x1,x2) w: (0) sqr(x1) w: (0) terms(x1) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 1, DPs: 1 SCC { #1 } Sum... succeeded. s(x1) w: (1 + x1) recip(x1) w: (0) dbl(x1) w: (0) #dbl(x1) w: (0) #terms(x1) w: (0) #sqr(x1) w: (0) 0() w: (0) #first(x1,x2) w: (0) nil() w: (0) first(x1,x2) w: (0) cons(x1) w: (0) #add(x1,x2) w: (x1) add(x1,x2) w: (0) sqr(x1) w: (0) terms(x1) w: (0) USABLE RULES: { } Removed DPs: #1 Number of SCCs: 0, DPs: 0
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