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TRS_Contextsensitive 2019-03-21 05.07 pair #429996940
details
property
value
status
complete
benchmark
ExSec11_1_Luc02a.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n104.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0203799 seconds
cpu usage
0.020371
user time
0.008235
system time
0.012136
max virtual memory
0.0
max residence set size
6460.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.01 YES 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 (VAR N X Y Z) 0.00/0.01 (STRATEGY CONTEXTSENSITIVE 0.00/0.01 (add 1 2) 0.00/0.01 (dbl 1) 0.00/0.01 (first 1 2) 0.00/0.01 (half 1) 0.00/0.01 (sqr 1) 0.00/0.01 (terms 1) 0.00/0.01 (0) 0.00/0.01 (cons 1) 0.00/0.01 (nil) 0.00/0.01 (recip 1) 0.00/0.01 (s 1) 0.00/0.01 ) 0.00/0.01 (RULES 0.00/0.01 add(0,X) -> X 0.00/0.01 add(s(X),Y) -> s(add(X,Y)) 0.00/0.01 dbl(0) -> 0 0.00/0.01 dbl(s(X)) -> s(s(dbl(X))) 0.00/0.01 first(0,X) -> nil 0.00/0.01 first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) 0.00/0.01 half(dbl(X)) -> X 0.00/0.01 half(0) -> 0 0.00/0.01 half(s(0)) -> 0 0.00/0.01 half(s(s(X))) -> s(half(X)) 0.00/0.01 sqr(0) -> 0 0.00/0.01 sqr(s(X)) -> s(add(sqr(X),dbl(X))) 0.00/0.01 terms(N) -> cons(recip(sqr(N)),terms(s(N))) 0.00/0.01 ) 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 Dependency Pairs Processor: 0.00/0.01 -> Pairs: 0.00/0.01 ADD(s(X),Y) -> ADD(X,Y) 0.00/0.01 DBL(s(X)) -> DBL(X) 0.00/0.01 HALF(s(s(X))) -> HALF(X) 0.00/0.01 SQR(s(X)) -> ADD(sqr(X),dbl(X)) 0.00/0.01 SQR(s(X)) -> DBL(X) 0.00/0.01 SQR(s(X)) -> SQR(X) 0.00/0.01 TERMS(N) -> SQR(N) 0.00/0.01 -> Rules: 0.00/0.01 add(0,X) -> X 0.00/0.01 add(s(X),Y) -> s(add(X,Y)) 0.00/0.01 dbl(0) -> 0 0.00/0.01 dbl(s(X)) -> s(s(dbl(X))) 0.00/0.01 first(0,X) -> nil 0.00/0.01 first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) 0.00/0.01 half(dbl(X)) -> X 0.00/0.01 half(0) -> 0 0.00/0.01 half(s(0)) -> 0 0.00/0.01 half(s(s(X))) -> s(half(X)) 0.00/0.01 sqr(0) -> 0 0.00/0.01 sqr(s(X)) -> s(add(sqr(X),dbl(X))) 0.00/0.01 terms(N) -> cons(recip(sqr(N)),terms(s(N))) 0.00/0.01 -> Unhiding Rules: 0.00/0.01 Empty 0.00/0.01 0.00/0.01 Problem 1: 0.00/0.01 0.00/0.01 SCC Processor: 0.00/0.01 -> Pairs: 0.00/0.01 ADD(s(X),Y) -> ADD(X,Y) 0.00/0.01 DBL(s(X)) -> DBL(X) 0.00/0.01 HALF(s(s(X))) -> HALF(X) 0.00/0.01 SQR(s(X)) -> ADD(sqr(X),dbl(X)) 0.00/0.01 SQR(s(X)) -> DBL(X) 0.00/0.01 SQR(s(X)) -> SQR(X) 0.00/0.01 TERMS(N) -> SQR(N) 0.00/0.01 -> Rules: 0.00/0.01 add(0,X) -> X 0.00/0.01 add(s(X),Y) -> s(add(X,Y)) 0.00/0.01 dbl(0) -> 0 0.00/0.01 dbl(s(X)) -> s(s(dbl(X))) 0.00/0.01 first(0,X) -> nil 0.00/0.01 first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z)) 0.00/0.01 half(dbl(X)) -> X 0.00/0.01 half(0) -> 0 0.00/0.01 half(s(0)) -> 0 0.00/0.01 half(s(s(X))) -> s(half(X)) 0.00/0.01 sqr(0) -> 0 0.00/0.01 sqr(s(X)) -> s(add(sqr(X),dbl(X))) 0.00/0.01 terms(N) -> cons(recip(sqr(N)),terms(s(N))) 0.00/0.01 -> Unhiding rules: 0.00/0.01 Empty 0.00/0.01 ->Strongly Connected Components: 0.00/0.01 ->->Cycle: 0.00/0.01 ->->-> Pairs: 0.00/0.01 HALF(s(s(X))) -> HALF(X) 0.00/0.01 ->->-> Rules: 0.00/0.01 add(0,X) -> X 0.00/0.01 add(s(X),Y) -> s(add(X,Y)) 0.00/0.01 dbl(0) -> 0 0.00/0.01 dbl(s(X)) -> s(s(dbl(X))) 0.00/0.01 first(0,X) -> nil 0.00/0.01 first(s(X),cons(Y,Z)) -> cons(Y,first(X,Z))
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