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TRS_Innermost 2019-03-28 22.12 pair #432270969
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
n154.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
179.235 seconds
cpu usage
174.962
user time
163.238
system time
11.724
max virtual memory
840456.0
max residence set size
123840.0
stage attributes
key
value
starexec-result
YES
output
174.81/179.23 YES 174.81/179.23 174.81/179.23 Problem 1: 174.81/179.23 174.81/179.23 (VAR v_NonEmpty:S N:S X:S X1:S X2:S Y:S Z:S) 174.81/179.23 (RULES 174.81/179.23 a__add(0,X:S) -> mark(X:S) 174.81/179.23 a__add(s(X:S),Y:S) -> s(a__add(mark(X:S),mark(Y:S))) 174.81/179.23 a__add(X1:S,X2:S) -> add(X1:S,X2:S) 174.81/179.23 a__dbl(0) -> 0 174.81/179.23 a__dbl(s(X:S)) -> s(s(a__dbl(mark(X:S)))) 174.81/179.23 a__dbl(X:S) -> dbl(X:S) 174.81/179.23 a__first(0,X:S) -> nil 174.81/179.23 a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) 174.81/179.23 a__first(X1:S,X2:S) -> first(X1:S,X2:S) 174.81/179.23 a__sqr(0) -> 0 174.81/179.23 a__sqr(s(X:S)) -> s(a__add(a__sqr(mark(X:S)),a__dbl(mark(X:S)))) 174.81/179.23 a__sqr(X:S) -> sqr(X:S) 174.81/179.23 a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) 174.81/179.23 a__terms(X:S) -> terms(X:S) 174.81/179.23 mark(0) -> 0 174.81/179.23 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) 174.81/179.23 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) 174.81/179.23 mark(dbl(X:S)) -> a__dbl(mark(X:S)) 174.81/179.23 mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) 174.81/179.23 mark(nil) -> nil 174.81/179.23 mark(recip(X:S)) -> recip(mark(X:S)) 174.81/179.23 mark(s(X:S)) -> s(mark(X:S)) 174.81/179.23 mark(sqr(X:S)) -> a__sqr(mark(X:S)) 174.81/179.23 mark(terms(X:S)) -> a__terms(mark(X:S)) 174.81/179.23 ) 174.81/179.23 (STRATEGY INNERMOST) 174.81/179.23 174.81/179.23 Problem 1: 174.81/179.23 174.81/179.23 Dependency Pairs Processor: 174.81/179.23 -> Pairs: 174.81/179.23 A__ADD(0,X:S) -> MARK(X:S) 174.81/179.23 A__ADD(s(X:S),Y:S) -> A__ADD(mark(X:S),mark(Y:S)) 174.81/179.23 A__ADD(s(X:S),Y:S) -> MARK(X:S) 174.81/179.23 A__ADD(s(X:S),Y:S) -> MARK(Y:S) 174.81/179.23 A__DBL(s(X:S)) -> A__DBL(mark(X:S)) 174.81/179.23 A__DBL(s(X:S)) -> MARK(X:S) 174.81/179.23 A__FIRST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) 174.81/179.23 A__SQR(s(X:S)) -> A__ADD(a__sqr(mark(X:S)),a__dbl(mark(X:S))) 174.81/179.23 A__SQR(s(X:S)) -> A__DBL(mark(X:S)) 174.81/179.23 A__SQR(s(X:S)) -> A__SQR(mark(X:S)) 174.81/179.23 A__SQR(s(X:S)) -> MARK(X:S) 174.81/179.23 A__TERMS(N:S) -> A__SQR(mark(N:S)) 174.81/179.23 A__TERMS(N:S) -> MARK(N:S) 174.81/179.23 MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) 174.81/179.23 MARK(add(X1:S,X2:S)) -> MARK(X1:S) 174.81/179.23 MARK(add(X1:S,X2:S)) -> MARK(X2:S) 174.81/179.23 MARK(cons(X1:S,X2:S)) -> MARK(X1:S) 174.81/179.23 MARK(dbl(X:S)) -> A__DBL(mark(X:S)) 174.81/179.23 MARK(dbl(X:S)) -> MARK(X:S) 174.81/179.23 MARK(first(X1:S,X2:S)) -> A__FIRST(mark(X1:S),mark(X2:S)) 174.81/179.23 MARK(first(X1:S,X2:S)) -> MARK(X1:S) 174.81/179.23 MARK(first(X1:S,X2:S)) -> MARK(X2:S) 174.81/179.23 MARK(recip(X:S)) -> MARK(X:S) 174.81/179.23 MARK(s(X:S)) -> MARK(X:S) 174.81/179.23 MARK(sqr(X:S)) -> A__SQR(mark(X:S)) 174.81/179.23 MARK(sqr(X:S)) -> MARK(X:S) 174.81/179.23 MARK(terms(X:S)) -> A__TERMS(mark(X:S)) 174.81/179.23 MARK(terms(X:S)) -> MARK(X:S) 174.81/179.23 -> Rules: 174.81/179.23 a__add(0,X:S) -> mark(X:S) 174.81/179.23 a__add(s(X:S),Y:S) -> s(a__add(mark(X:S),mark(Y:S))) 174.81/179.23 a__add(X1:S,X2:S) -> add(X1:S,X2:S) 174.81/179.23 a__dbl(0) -> 0 174.81/179.23 a__dbl(s(X:S)) -> s(s(a__dbl(mark(X:S)))) 174.81/179.23 a__dbl(X:S) -> dbl(X:S) 174.81/179.23 a__first(0,X:S) -> nil 174.81/179.23 a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) 174.81/179.23 a__first(X1:S,X2:S) -> first(X1:S,X2:S) 174.81/179.23 a__sqr(0) -> 0 174.81/179.23 a__sqr(s(X:S)) -> s(a__add(a__sqr(mark(X:S)),a__dbl(mark(X:S)))) 174.81/179.23 a__sqr(X:S) -> sqr(X:S) 174.81/179.23 a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) 174.81/179.23 a__terms(X:S) -> terms(X:S) 174.81/179.23 mark(0) -> 0 174.81/179.23 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) 174.81/179.23 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) 174.81/179.23 mark(dbl(X:S)) -> a__dbl(mark(X:S)) 174.81/179.23 mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) 174.81/179.23 mark(nil) -> nil 174.81/179.23 mark(recip(X:S)) -> recip(mark(X:S)) 174.81/179.23 mark(s(X:S)) -> s(mark(X:S)) 174.81/179.23 mark(sqr(X:S)) -> a__sqr(mark(X:S)) 174.81/179.23 mark(terms(X:S)) -> a__terms(mark(X:S)) 174.81/179.23 174.81/179.23 Problem 1: 174.81/179.23 174.81/179.23 SCC Processor: 174.81/179.23 -> Pairs: 174.81/179.23 A__ADD(0,X:S) -> MARK(X:S) 174.81/179.23 A__ADD(s(X:S),Y:S) -> A__ADD(mark(X:S),mark(Y:S)) 174.81/179.23 A__ADD(s(X:S),Y:S) -> MARK(X:S) 174.81/179.23 A__ADD(s(X:S),Y:S) -> MARK(Y:S) 174.81/179.23 A__DBL(s(X:S)) -> A__DBL(mark(X:S))
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