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TRS Condi 20667 pair #381733180
details
property
value
status
complete
benchmark
404.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n098.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0178239345551 seconds
cpu usage
0.014689117
max memory
1400832.0
stage attributes
key
value
output-size
2903
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x) (RULES e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true o(0) -> true o(s(x)) -> false | o(x) -> true o(s(x)) -> true | e(x) -> true ) Problem 1: Valid CTRS Processor: -> Rules: e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true o(0) -> true o(s(x)) -> false | o(x) -> true o(s(x)) -> true | e(x) -> true -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true o(0) -> true o(s(x)) -> false | o(x) -> true o(s(x)) -> true | e(x) -> true Conditional Termination Problem 2: -> Pairs: E(s(x)) -> E(x) E(s(x)) -> O(x) O(s(x)) -> E(x) O(s(x)) -> O(x) -> QPairs: Empty -> Rules: e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true o(0) -> true o(s(x)) -> false | o(x) -> true o(s(x)) -> true | e(x) -> true The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true o(0) -> true o(s(x)) -> false | o(x) -> true o(s(x)) -> true | e(x) -> true ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: E(s(x)) -> E(x) E(s(x)) -> O(x) O(s(x)) -> E(x) O(s(x)) -> O(x) -> QPairs: Empty -> Rules: e(0) -> true e(s(x)) -> false | e(x) -> true e(s(x)) -> true | o(x) -> true
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