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TRS Stand 20472 pair #381714915
details
property
value
status
complete
benchmark
4.42.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0194411277771 seconds
cpu usage
0.016100742
max memory
1654784.0
stage attributes
key
value
output-size
2874
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 y z) (RULES f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(g(x),a) -> F(x,g(a)) F(g(x),g(y)) -> H(g(y),x,g(y)) H(g(x),y,z) -> F(y,h(x,y,z)) H(g(x),y,z) -> H(x,y,z) -> Rules: f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) Problem 1: SCC Processor: -> Pairs: F(g(x),a) -> F(x,g(a)) F(g(x),g(y)) -> H(g(y),x,g(y)) H(g(x),y,z) -> F(y,h(x,y,z)) H(g(x),y,z) -> H(x,y,z) -> Rules: f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(g(x),a) -> F(x,g(a)) F(g(x),g(y)) -> H(g(y),x,g(y)) H(g(x),y,z) -> F(y,h(x,y,z)) H(g(x),y,z) -> H(x,y,z) ->->-> Rules: f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) Problem 1: Subterm Processor: -> Pairs: F(g(x),a) -> F(x,g(a)) F(g(x),g(y)) -> H(g(y),x,g(y)) H(g(x),y,z) -> F(y,h(x,y,z)) H(g(x),y,z) -> H(x,y,z) -> Rules: f(a,g(y)) -> g(g(y)) f(g(x),a) -> f(x,g(a)) f(g(x),g(y)) -> h(g(y),x,g(y)) h(a,y,z) -> z h(g(x),y,z) -> f(y,h(x,y,z)) ->Projection: pi(F) = 1 pi(H) = 2 Problem 1: SCC Processor: -> Pairs: H(g(x),y,z) -> F(y,h(x,y,z)) H(g(x),y,z) -> H(x,y,z) -> Rules: f(a,g(y)) -> g(g(y))
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