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TRS Standard pair #487068829
details
property
value
status
complete
benchmark
Liveness6.2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
23.3406 seconds
cpu usage
23.1594
user time
18.1854
system time
4.97398
max virtual memory
710512.0
max residence set size
8572.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES check(rest(x:S)) -> rest(check(x:S)) check(cons(x:S,y:S)) -> cons(check(x:S),y:S) check(cons(x:S,y:S)) -> cons(x:S,check(y:S)) check(cons(x:S,y:S)) -> cons(x:S,y:S) check(sent(x:S)) -> sent(check(x:S)) rest(cons(x:S,y:S)) -> sent(y:S) rest(nil) -> sent(nil) top(sent(x:S)) -> top(check(rest(x:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: CHECK(rest(x:S)) -> CHECK(x:S) CHECK(rest(x:S)) -> REST(check(x:S)) CHECK(cons(x:S,y:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(y:S) CHECK(sent(x:S)) -> CHECK(x:S) TOP(sent(x:S)) -> CHECK(rest(x:S)) TOP(sent(x:S)) -> REST(x:S) TOP(sent(x:S)) -> TOP(check(rest(x:S))) -> Rules: check(rest(x:S)) -> rest(check(x:S)) check(cons(x:S,y:S)) -> cons(check(x:S),y:S) check(cons(x:S,y:S)) -> cons(x:S,check(y:S)) check(cons(x:S,y:S)) -> cons(x:S,y:S) check(sent(x:S)) -> sent(check(x:S)) rest(cons(x:S,y:S)) -> sent(y:S) rest(nil) -> sent(nil) top(sent(x:S)) -> top(check(rest(x:S))) Problem 1: SCC Processor: -> Pairs: CHECK(rest(x:S)) -> CHECK(x:S) CHECK(rest(x:S)) -> REST(check(x:S)) CHECK(cons(x:S,y:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(y:S) CHECK(sent(x:S)) -> CHECK(x:S) TOP(sent(x:S)) -> CHECK(rest(x:S)) TOP(sent(x:S)) -> REST(x:S) TOP(sent(x:S)) -> TOP(check(rest(x:S))) -> Rules: check(rest(x:S)) -> rest(check(x:S)) check(cons(x:S,y:S)) -> cons(check(x:S),y:S) check(cons(x:S,y:S)) -> cons(x:S,check(y:S)) check(cons(x:S,y:S)) -> cons(x:S,y:S) check(sent(x:S)) -> sent(check(x:S)) rest(cons(x:S,y:S)) -> sent(y:S) rest(nil) -> sent(nil) top(sent(x:S)) -> top(check(rest(x:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: CHECK(rest(x:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(y:S) CHECK(sent(x:S)) -> CHECK(x:S) ->->-> Rules: check(rest(x:S)) -> rest(check(x:S)) check(cons(x:S,y:S)) -> cons(check(x:S),y:S) check(cons(x:S,y:S)) -> cons(x:S,check(y:S)) check(cons(x:S,y:S)) -> cons(x:S,y:S) check(sent(x:S)) -> sent(check(x:S)) rest(cons(x:S,y:S)) -> sent(y:S) rest(nil) -> sent(nil) top(sent(x:S)) -> top(check(rest(x:S))) ->->Cycle: ->->-> Pairs: TOP(sent(x:S)) -> TOP(check(rest(x:S))) ->->-> Rules: check(rest(x:S)) -> rest(check(x:S)) check(cons(x:S,y:S)) -> cons(check(x:S),y:S) check(cons(x:S,y:S)) -> cons(x:S,check(y:S)) check(cons(x:S,y:S)) -> cons(x:S,y:S) check(sent(x:S)) -> sent(check(x:S)) rest(cons(x:S,y:S)) -> sent(y:S) rest(nil) -> sent(nil) top(sent(x:S)) -> top(check(rest(x:S))) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: CHECK(rest(x:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(x:S) CHECK(cons(x:S,y:S)) -> CHECK(y:S) CHECK(sent(x:S)) -> CHECK(x:S) -> Rules:
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