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TRS Standard pair #516962538
details
property
value
status
complete
benchmark
ExSec11_1_Luc02a_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n166.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.179246902466 seconds
cpu usage
0.104087456
max memory
8159232.0
stage attributes
key
value
output-size
4049
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: terms(N) -> cons(recip(sqr(N)),n__terms(s(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,Z)) -> cons(Y,n__first(X,activate(Z))) 10: half(0()) -> 0() 11: half(s(0())) -> 0() 12: half(s(s(X))) -> s(half(X)) 13: half(dbl(X)) -> X 14: terms(X) -> n__terms(X) 15: first(X1,X2) -> n__first(X1,X2) 16: activate(n__terms(X)) -> terms(X) 17: activate(n__first(X1,X2)) -> first(X1,X2) 18: activate(X) -> X Number of strict rules: 18 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #first(s(X),cons(Y,Z)) -> #activate(Z) #2: #half(s(s(X))) -> #half(X) #3: #add(s(X),Y) -> #add(X,Y) #4: #dbl(s(X)) -> #dbl(X) #5: #activate(n__first(X1,X2)) -> #first(X1,X2) #6: #activate(n__terms(X)) -> #terms(X) #7: #sqr(s(X)) -> #add(sqr(X),dbl(X)) #8: #sqr(s(X)) -> #sqr(X) #9: #sqr(s(X)) -> #dbl(X) #10: #terms(N) -> #sqr(N) Number of SCCs: 5, DPs: 6 SCC { #8 } Sum... succeeded. s(x1) w: (1 + x1) n__first(x1,x2) w: (0) recip(x1) w: (0) activate(x1) w: (0) dbl(x1) w: (0) #dbl(x1) w: (0) #terms(x1) w: (0) #activate(x1) w: (0) #half(x1) w: (0) half(x1) w: (0) #sqr(x1) w: (x1) 0() w: (0) #first(x1,x2) w: (0) nil() w: (0) first(x1,x2) w: (0) n__terms(x1) w: (0) cons(x1,x2) w: (0) #add(x1,x2) w: (0) add(x1,x2) w: (0) sqr(x1) w: (0) terms(x1) w: (0) USABLE RULES: { } Removed DPs: #8 Number of SCCs: 4, DPs: 5 SCC { #4 } Sum... succeeded. s(x1) w: (1 + x1) n__first(x1,x2) w: (0) recip(x1) w: (0) activate(x1) w: (0) dbl(x1) w: (0) #dbl(x1) w: (x1) #terms(x1) w: (0) #activate(x1) w: (0) #half(x1) w: (0) half(x1) w: (0) #sqr(x1) w: (0) 0() w: (0) #first(x1,x2) w: (0) nil() w: (0) first(x1,x2) w: (0) n__terms(x1) w: (0) cons(x1,x2) 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: 3, DPs: 4 SCC { #2 } Sum... succeeded. s(x1) w: (1 + x1) n__first(x1,x2) w: (0) recip(x1) w: (0) activate(x1) w: (0) dbl(x1) w: (0)
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