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TRS Stand 20472 pair #381710776
details
property
value
status
complete
benchmark
13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.498162031174 seconds
cpu usage
0.485975398
max memory
6213632.0
stage attributes
key
value
output-size
7301
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 y z) (RULES *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) ) Problem 1: Dependency Pairs Processor: -> Pairs: *#(*(x,y),z) -> *#(x,*(y,z)) *#(*(x,y),z) -> *#(y,z) *#(+(y,z),x) -> *#(x,y) *#(+(y,z),x) -> *#(x,z) *#(+(y,z),x) -> +#(*(x,y),*(x,z)) *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) *#(x,+(y,z)) -> +#(*(x,y),*(x,z)) +#(+(x,y),z) -> +#(x,+(y,z)) +#(+(x,y),z) -> +#(y,z) -> Rules: *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) Problem 1: SCC Processor: -> Pairs: *#(*(x,y),z) -> *#(x,*(y,z)) *#(*(x,y),z) -> *#(y,z) *#(+(y,z),x) -> *#(x,y) *#(+(y,z),x) -> *#(x,z) *#(+(y,z),x) -> +#(*(x,y),*(x,z)) *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) *#(x,+(y,z)) -> +#(*(x,y),*(x,z)) +#(+(x,y),z) -> +#(x,+(y,z)) +#(+(x,y),z) -> +#(y,z) -> Rules: *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: +#(+(x,y),z) -> +#(x,+(y,z)) +#(+(x,y),z) -> +#(y,z) ->->-> Rules: *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) ->->Cycle: ->->-> Pairs: *#(*(x,y),z) -> *#(x,*(y,z)) *#(*(x,y),z) -> *#(y,z) *#(+(y,z),x) -> *#(x,y) *#(+(y,z),x) -> *#(x,z) *#(x,+(y,z)) -> *#(x,y) *#(x,+(y,z)) -> *#(x,z) ->->-> Rules: *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: +#(+(x,y),z) -> +#(x,+(y,z)) +#(+(x,y),z) -> +#(y,z) -> Rules: *(*(x,y),z) -> *(x,*(y,z)) *(+(y,z),x) -> +(*(x,y),*(x,z)) *(x,+(y,z)) -> +(*(x,y),*(x,z)) +(+(x,y),z) -> +(x,+(y,z)) ->Projection: pi(+#) = 1 Problem 1.1:
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