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TRS_Innermost 2019-03-28 22.12 pair #432271217
details
property
value
status
complete
benchmark
Ex1_Luc04b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
4.78529 seconds
cpu usage
4.36801
user time
3.26217
system time
1.10584
max virtual memory
713516.0
max residence set size
14576.0
stage attributes
key
value
starexec-result
YES
output
4.32/4.77 YES 4.32/4.77 4.32/4.77 Problem 1: 4.32/4.77 4.32/4.77 (VAR v_NonEmpty:S X:S X1:S X2:S XS:S) 4.32/4.77 (RULES 4.32/4.77 active(head(cons(X:S,XS:S))) -> mark(X:S) 4.32/4.77 active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) 4.32/4.77 active(tail(cons(X:S,XS:S))) -> mark(XS:S) 4.32/4.77 active(nats) -> mark(cons(0,incr(nats))) 4.32/4.77 active(odds) -> mark(incr(pairs)) 4.32/4.77 active(pairs) -> mark(cons(0,incr(odds))) 4.32/4.77 cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) 4.32/4.77 cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) 4.32/4.77 cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) 4.32/4.77 cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) 4.32/4.77 head(active(X:S)) -> head(X:S) 4.32/4.77 head(mark(X:S)) -> head(X:S) 4.32/4.77 incr(active(X:S)) -> incr(X:S) 4.32/4.77 incr(mark(X:S)) -> incr(X:S) 4.32/4.77 mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) 4.32/4.77 mark(head(X:S)) -> active(head(mark(X:S))) 4.32/4.77 mark(incr(X:S)) -> active(incr(mark(X:S))) 4.32/4.77 mark(s(X:S)) -> active(s(mark(X:S))) 4.32/4.77 mark(tail(X:S)) -> active(tail(mark(X:S))) 4.32/4.77 mark(0) -> active(0) 4.32/4.77 mark(nats) -> active(nats) 4.32/4.77 mark(odds) -> active(odds) 4.32/4.77 mark(pairs) -> active(pairs) 4.32/4.77 s(active(X:S)) -> s(X:S) 4.32/4.77 s(mark(X:S)) -> s(X:S) 4.32/4.77 tail(active(X:S)) -> tail(X:S) 4.32/4.77 tail(mark(X:S)) -> tail(X:S) 4.32/4.77 ) 4.32/4.77 (STRATEGY INNERMOST) 4.32/4.77 4.32/4.77 Problem 1: 4.32/4.77 4.32/4.77 Dependency Pairs Processor: 4.32/4.77 -> Pairs: 4.32/4.77 ACTIVE(head(cons(X:S,XS:S))) -> MARK(X:S) 4.32/4.77 ACTIVE(incr(cons(X:S,XS:S))) -> CONS(s(X:S),incr(XS:S)) 4.32/4.77 ACTIVE(incr(cons(X:S,XS:S))) -> INCR(XS:S) 4.32/4.77 ACTIVE(incr(cons(X:S,XS:S))) -> MARK(cons(s(X:S),incr(XS:S))) 4.32/4.77 ACTIVE(incr(cons(X:S,XS:S))) -> S(X:S) 4.32/4.77 ACTIVE(tail(cons(X:S,XS:S))) -> MARK(XS:S) 4.32/4.77 ACTIVE(nats) -> MARK(cons(0,incr(nats))) 4.32/4.77 ACTIVE(odds) -> MARK(incr(pairs)) 4.32/4.77 ACTIVE(pairs) -> MARK(cons(0,incr(odds))) 4.32/4.77 CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) 4.32/4.77 CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) 4.32/4.77 CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) 4.32/4.77 CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) 4.32/4.77 HEAD(active(X:S)) -> HEAD(X:S) 4.32/4.77 HEAD(mark(X:S)) -> HEAD(X:S) 4.32/4.77 INCR(active(X:S)) -> INCR(X:S) 4.32/4.77 INCR(mark(X:S)) -> INCR(X:S) 4.32/4.77 MARK(cons(X1:S,X2:S)) -> ACTIVE(cons(mark(X1:S),X2:S)) 4.32/4.77 MARK(cons(X1:S,X2:S)) -> CONS(mark(X1:S),X2:S) 4.32/4.77 MARK(cons(X1:S,X2:S)) -> MARK(X1:S) 4.32/4.77 MARK(head(X:S)) -> ACTIVE(head(mark(X:S))) 4.32/4.77 MARK(head(X:S)) -> HEAD(mark(X:S)) 4.32/4.77 MARK(head(X:S)) -> MARK(X:S) 4.32/4.77 MARK(incr(X:S)) -> ACTIVE(incr(mark(X:S))) 4.32/4.77 MARK(incr(X:S)) -> INCR(mark(X:S)) 4.32/4.77 MARK(incr(X:S)) -> MARK(X:S) 4.32/4.77 MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) 4.32/4.77 MARK(s(X:S)) -> MARK(X:S) 4.32/4.77 MARK(s(X:S)) -> S(mark(X:S)) 4.32/4.77 MARK(tail(X:S)) -> ACTIVE(tail(mark(X:S))) 4.32/4.77 MARK(tail(X:S)) -> MARK(X:S) 4.32/4.77 MARK(tail(X:S)) -> TAIL(mark(X:S)) 4.32/4.77 MARK(nats) -> ACTIVE(nats) 4.32/4.77 MARK(odds) -> ACTIVE(odds) 4.32/4.77 MARK(pairs) -> ACTIVE(pairs) 4.32/4.77 S(active(X:S)) -> S(X:S) 4.32/4.77 S(mark(X:S)) -> S(X:S) 4.32/4.77 TAIL(active(X:S)) -> TAIL(X:S) 4.32/4.77 TAIL(mark(X:S)) -> TAIL(X:S) 4.32/4.77 -> Rules: 4.32/4.77 active(head(cons(X:S,XS:S))) -> mark(X:S) 4.32/4.77 active(incr(cons(X:S,XS:S))) -> mark(cons(s(X:S),incr(XS:S))) 4.32/4.77 active(tail(cons(X:S,XS:S))) -> mark(XS:S) 4.32/4.77 active(nats) -> mark(cons(0,incr(nats))) 4.32/4.77 active(odds) -> mark(incr(pairs)) 4.32/4.77 active(pairs) -> mark(cons(0,incr(odds))) 4.32/4.77 cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) 4.32/4.77 cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) 4.32/4.77 cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) 4.32/4.77 cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) 4.32/4.77 head(active(X:S)) -> head(X:S) 4.32/4.77 head(mark(X:S)) -> head(X:S) 4.32/4.77 incr(active(X:S)) -> incr(X:S) 4.32/4.77 incr(mark(X:S)) -> incr(X:S) 4.32/4.77 mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) 4.32/4.77 mark(head(X:S)) -> active(head(mark(X:S))) 4.32/4.77 mark(incr(X:S)) -> active(incr(mark(X:S))) 4.32/4.77 mark(s(X:S)) -> active(s(mark(X:S))) 4.32/4.77 mark(tail(X:S)) -> active(tail(mark(X:S))) 4.32/4.77 mark(0) -> active(0)
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