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TRS Standard pair #516963976
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
n073.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
23.4740660191 seconds
cpu usage
23.19524488
max memory
1.1067392E7
stage attributes
key
value
output-size
10562
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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:
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