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TRS Condi 20667 pair #381733008
details
property
value
status
complete
benchmark
jlap09-ex16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n074.star.cs.uiowa.edu
space
Mixed_CTRS_2014
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
2.13206410408 seconds
cpu usage
2.111071935
max memory
4.8029696E7
stage attributes
key
value
output-size
2018
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 f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) ) Problem 1: Valid CTRS Processor: -> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: G(x,x) -> F(a) G(x,x) -> F(b) G(x,x) -> G(f(a),f(b)) -> QPairs: Empty -> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) Conditional Termination Problem 2: -> Pairs: Empty -> QPairs: G(x,x) -> F(a) G(x,x) -> F(b) G(x,x) -> G(f(a),f(b)) -> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: G(x,x) -> F(a) G(x,x) -> F(b) G(x,x) -> G(f(a),f(b)) -> QPairs: Empty -> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(x,x) -> G(f(a),f(b)) ->->-> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) Problem 1.1: Unsatisfiable Rule Processor: -> Pairs: G(x,x) -> G(f(a),f(b)) -> QPairs: Empty -> Rules: f(x) -> c | a -> b g(x,x) -> g(f(a),f(b)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 0 [g](X1,X2) = 0 [a] = 0 [b] = 2 [c] = 2 [F](X) = 0 [G](X1,X2) = 0
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