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TRS_Innermost 2019-03-28 22.12 pair #432271017
details
property
value
status
complete
benchmark
Ex9_BLR02_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n050.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.396999 seconds
cpu usage
0.370236
user time
0.308021
system time
0.062215
max virtual memory
113176.0
max residence set size
11524.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.39 YES 0.00/0.39 0.00/0.39 Problem 1: 0.00/0.39 0.00/0.39 (VAR v_NonEmpty:S M:S N:S X:S X1:S X2:S X3:S Y:S) 0.00/0.39 (RULES 0.00/0.39 active(cons(X1:S,X2:S)) -> cons(active(X1:S),X2:S) 0.00/0.39 active(filter(cons(X:S,Y:S),s(N:S),M:S)) -> mark(cons(X:S,filter(Y:S,N:S,M:S))) 0.00/0.39 active(filter(cons(X:S,Y:S),0,M:S)) -> mark(cons(0,filter(Y:S,M:S,M:S))) 0.00/0.39 active(filter(X1:S,X2:S,X3:S)) -> filter(active(X1:S),X2:S,X3:S) 0.00/0.39 active(filter(X1:S,X2:S,X3:S)) -> filter(X1:S,active(X2:S),X3:S) 0.00/0.39 active(filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,active(X3:S)) 0.00/0.39 active(nats(N:S)) -> mark(cons(N:S,nats(s(N:S)))) 0.00/0.39 active(nats(X:S)) -> nats(active(X:S)) 0.00/0.39 active(s(X:S)) -> s(active(X:S)) 0.00/0.39 active(sieve(cons(s(N:S),Y:S))) -> mark(cons(s(N:S),sieve(filter(Y:S,N:S,N:S)))) 0.00/0.39 active(sieve(cons(0,Y:S))) -> mark(cons(0,sieve(Y:S))) 0.00/0.39 active(sieve(X:S)) -> sieve(active(X:S)) 0.00/0.39 active(zprimes) -> mark(sieve(nats(s(s(0))))) 0.00/0.39 cons(mark(X1:S),X2:S) -> mark(cons(X1:S,X2:S)) 0.00/0.39 cons(ok(X1:S),ok(X2:S)) -> ok(cons(X1:S,X2:S)) 0.00/0.39 filter(mark(X1:S),X2:S,X3:S) -> mark(filter(X1:S,X2:S,X3:S)) 0.00/0.39 filter(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(filter(X1:S,X2:S,X3:S)) 0.00/0.39 filter(X1:S,mark(X2:S),X3:S) -> mark(filter(X1:S,X2:S,X3:S)) 0.00/0.39 filter(X1:S,X2:S,mark(X3:S)) -> mark(filter(X1:S,X2:S,X3:S)) 0.00/0.39 nats(mark(X:S)) -> mark(nats(X:S)) 0.00/0.39 nats(ok(X:S)) -> ok(nats(X:S)) 0.00/0.39 proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) 0.00/0.39 proper(filter(X1:S,X2:S,X3:S)) -> filter(proper(X1:S),proper(X2:S),proper(X3:S)) 0.00/0.39 proper(nats(X:S)) -> nats(proper(X:S)) 0.00/0.39 proper(s(X:S)) -> s(proper(X:S)) 0.00/0.39 proper(sieve(X:S)) -> sieve(proper(X:S)) 0.00/0.39 proper(0) -> ok(0) 0.00/0.39 proper(zprimes) -> ok(zprimes) 0.00/0.39 s(mark(X:S)) -> mark(s(X:S)) 0.00/0.39 s(ok(X:S)) -> ok(s(X:S)) 0.00/0.39 sieve(mark(X:S)) -> mark(sieve(X:S)) 0.00/0.39 sieve(ok(X:S)) -> ok(sieve(X:S)) 0.00/0.39 top(mark(X:S)) -> top(proper(X:S)) 0.00/0.39 top(ok(X:S)) -> top(active(X:S)) 0.00/0.39 ) 0.00/0.39 (STRATEGY INNERMOST) 0.00/0.39 0.00/0.39 Problem 1: 0.00/0.39 0.00/0.39 Dependency Pairs Processor: 0.00/0.39 -> Pairs: 0.00/0.39 ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) 0.00/0.39 ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) 0.00/0.39 ACTIVE(filter(cons(X:S,Y:S),s(N:S),M:S)) -> CONS(X:S,filter(Y:S,N:S,M:S)) 0.00/0.39 ACTIVE(filter(cons(X:S,Y:S),s(N:S),M:S)) -> FILTER(Y:S,N:S,M:S) 0.00/0.39 ACTIVE(filter(cons(X:S,Y:S),0,M:S)) -> CONS(0,filter(Y:S,M:S,M:S)) 0.00/0.39 ACTIVE(filter(cons(X:S,Y:S),0,M:S)) -> FILTER(Y:S,M:S,M:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> ACTIVE(X2:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> ACTIVE(X3:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(active(X1:S),X2:S,X3:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,active(X2:S),X3:S) 0.00/0.39 ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,X2:S,active(X3:S)) 0.00/0.39 ACTIVE(nats(N:S)) -> CONS(N:S,nats(s(N:S))) 0.00/0.39 ACTIVE(nats(N:S)) -> NATS(s(N:S)) 0.00/0.39 ACTIVE(nats(N:S)) -> S(N:S) 0.00/0.39 ACTIVE(nats(X:S)) -> ACTIVE(X:S) 0.00/0.39 ACTIVE(nats(X:S)) -> NATS(active(X:S)) 0.00/0.39 ACTIVE(s(X:S)) -> ACTIVE(X:S) 0.00/0.39 ACTIVE(s(X:S)) -> S(active(X:S)) 0.00/0.39 ACTIVE(sieve(cons(s(N:S),Y:S))) -> CONS(s(N:S),sieve(filter(Y:S,N:S,N:S))) 0.00/0.39 ACTIVE(sieve(cons(s(N:S),Y:S))) -> FILTER(Y:S,N:S,N:S) 0.00/0.39 ACTIVE(sieve(cons(s(N:S),Y:S))) -> SIEVE(filter(Y:S,N:S,N:S)) 0.00/0.39 ACTIVE(sieve(cons(0,Y:S))) -> CONS(0,sieve(Y:S)) 0.00/0.39 ACTIVE(sieve(cons(0,Y:S))) -> SIEVE(Y:S) 0.00/0.39 ACTIVE(sieve(X:S)) -> ACTIVE(X:S) 0.00/0.39 ACTIVE(sieve(X:S)) -> SIEVE(active(X:S)) 0.00/0.39 CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) 0.00/0.39 CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) 0.00/0.39 FILTER(mark(X1:S),X2:S,X3:S) -> FILTER(X1:S,X2:S,X3:S) 0.00/0.39 FILTER(ok(X1:S),ok(X2:S),ok(X3:S)) -> FILTER(X1:S,X2:S,X3:S) 0.00/0.39 FILTER(X1:S,mark(X2:S),X3:S) -> FILTER(X1:S,X2:S,X3:S) 0.00/0.39 FILTER(X1:S,X2:S,mark(X3:S)) -> FILTER(X1:S,X2:S,X3:S) 0.00/0.39 NATS(mark(X:S)) -> NATS(X:S) 0.00/0.39 NATS(ok(X:S)) -> NATS(X:S) 0.00/0.39 PROPER(cons(X1:S,X2:S)) -> CONS(proper(X1:S),proper(X2:S)) 0.00/0.39 PROPER(cons(X1:S,X2:S)) -> PROPER(X1:S) 0.00/0.39 PROPER(cons(X1:S,X2:S)) -> PROPER(X2:S) 0.00/0.39 PROPER(filter(X1:S,X2:S,X3:S)) -> FILTER(proper(X1:S),proper(X2:S),proper(X3:S)) 0.00/0.39 PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X1:S) 0.00/0.39 PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X2:S) 0.00/0.39 PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X3:S) 0.00/0.39 PROPER(nats(X:S)) -> NATS(proper(X:S)) 0.00/0.39 PROPER(nats(X:S)) -> PROPER(X:S) 0.00/0.39 PROPER(s(X:S)) -> PROPER(X:S) 0.00/0.39 PROPER(s(X:S)) -> S(proper(X:S)) 0.00/0.39 PROPER(sieve(X:S)) -> PROPER(X:S) 0.00/0.39 PROPER(sieve(X:S)) -> SIEVE(proper(X:S)) 0.00/0.39 S(mark(X:S)) -> S(X:S) 0.00/0.39 S(ok(X:S)) -> S(X:S) 0.00/0.39 SIEVE(mark(X:S)) -> SIEVE(X:S) 0.00/0.39 SIEVE(ok(X:S)) -> SIEVE(X:S) 0.00/0.39 TOP(mark(X:S)) -> PROPER(X:S) 0.00/0.39 TOP(mark(X:S)) -> TOP(proper(X:S))
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