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TRS Condi 20667 pair #381733049
details
property
value
status
complete
benchmark
332.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.016921043396 seconds
cpu usage
0.013404254
max memory
1511424.0
stage attributes
key
value
output-size
3064
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 even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true ) Problem 1: Valid CTRS Processor: -> Rules: even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true Conditional Termination Problem 2: -> Pairs: EVEN(s(x)) -> ODD(x) ODD(s(x)) -> EVEN(x) -> QPairs: Empty -> Rules: even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: EVEN(s(x)) -> ODD(x) ODD(s(x)) -> EVEN(x) -> QPairs: Empty -> Rules: even(0) -> true even(s(x)) -> false | odd(x) -> false even(s(x)) -> true | odd(x) -> true odd(0) -> false odd(s(x)) -> false | even(x) -> false odd(s(x)) -> true | even(x) -> true ->Strongly Connected Components:
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