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TRS Condi 20667 pair #381733154
details
property
value
status
complete
benchmark
365.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n024.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0170049667358 seconds
cpu usage
0.0136052
max memory
1474560.0
stage attributes
key
value
output-size
2613
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 x) (RULES p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x ) Problem 1: Valid CTRS Processor: -> Rules: p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x Conditional Termination Problem 2: -> Pairs: POS(p(x)) -> POS(x) POS(s(x)) -> POS(x) -> QPairs: Empty -> Rules: p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: POS(p(x)) -> POS(x) POS(s(x)) -> POS(x) -> QPairs: Empty -> Rules: p(s(x)) -> x pos(p(x)) -> false | pos(x) -> false pos(s(0)) -> true pos(s(x)) -> true | pos(x) -> true pos(0) -> false s(p(x)) -> x ->Strongly Connected Components:
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