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TRS Standard pair #487068009
details
property
value
status
complete
benchmark
4.05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n175.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.019016 seconds
cpu usage
0.019546
user time
0.006827
system time
0.012719
max virtual memory
113188.0
max residence set size
4356.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: *#(+(x:S,y:S),z:S) -> *#(x:S,z:S) *#(+(x:S,y:S),z:S) -> *#(y:S,z:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) -> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S Problem 1: SCC Processor: -> Pairs: *#(+(x:S,y:S),z:S) -> *#(x:S,z:S) *#(+(x:S,y:S),z:S) -> *#(y:S,z:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) -> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: *#(+(x:S,y:S),z:S) -> *#(x:S,z:S) *#(+(x:S,y:S),z:S) -> *#(y:S,z:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) ->->-> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S Problem 1: Subterm Processor: -> Pairs: *#(+(x:S,y:S),z:S) -> *#(x:S,z:S) *#(+(x:S,y:S),z:S) -> *#(y:S,z:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) -> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S ->Projection: pi(*#) = 1 Problem 1: SCC Processor: -> Pairs: *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) -> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) ->->-> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S)) *(x:S,1) -> x:S Problem 1: Subterm Processor: -> Pairs: *#(x:S,+(y:S,z:S)) -> *#(x:S,y:S) *#(x:S,+(y:S,z:S)) -> *#(x:S,z:S) -> Rules: *(+(x:S,y:S),z:S) -> +(*(x:S,z:S),*(y:S,z:S)) *(1,y:S) -> y:S *(x:S,+(y:S,z:S)) -> +(*(x:S,y:S),*(x:S,z:S))
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