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TRS Standard pair #487068659
details
property
value
status
complete
benchmark
z29.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n179.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.216088 seconds
cpu usage
0.19811
user time
0.100627
system time
0.097483
max virtual memory
113188.0
max residence set size
5868.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S x:S y:S z:S) (RULES a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: A(a(x:S,y:S),z:S) -> A(x:S,a(y:S,z:S)) A(a(x:S,y:S),z:S) -> A(y:S,z:S) A(lambda(x:S),y:S) -> A(x:S,a(y:S,t)) A(lambda(x:S),y:S) -> A(x:S,1) A(lambda(x:S),y:S) -> A(y:S,t) A(lambda(x:S),y:S) -> LAMBDA(a(x:S,a(y:S,t))) A(lambda(x:S),y:S) -> LAMBDA(a(x:S,1)) -> Rules: a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S Problem 1: SCC Processor: -> Pairs: A(a(x:S,y:S),z:S) -> A(x:S,a(y:S,z:S)) A(a(x:S,y:S),z:S) -> A(y:S,z:S) A(lambda(x:S),y:S) -> A(x:S,a(y:S,t)) A(lambda(x:S),y:S) -> A(x:S,1) A(lambda(x:S),y:S) -> A(y:S,t) A(lambda(x:S),y:S) -> LAMBDA(a(x:S,a(y:S,t))) A(lambda(x:S),y:S) -> LAMBDA(a(x:S,1)) -> Rules: a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(a(x:S,y:S),z:S) -> A(x:S,a(y:S,z:S)) A(a(x:S,y:S),z:S) -> A(y:S,z:S) A(lambda(x:S),y:S) -> A(x:S,a(y:S,t)) A(lambda(x:S),y:S) -> A(x:S,1) A(lambda(x:S),y:S) -> A(y:S,t) ->->-> Rules: a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S Problem 1: Reduction Pair Processor: -> Pairs: A(a(x:S,y:S),z:S) -> A(x:S,a(y:S,z:S)) A(a(x:S,y:S),z:S) -> A(y:S,z:S) A(lambda(x:S),y:S) -> A(x:S,a(y:S,t)) A(lambda(x:S),y:S) -> A(x:S,1) A(lambda(x:S),y:S) -> A(y:S,t) -> Rules: a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S -> Usable rules: a(a(x:S,y:S),z:S) -> a(x:S,a(y:S,z:S)) a(lambda(x:S),y:S) -> lambda(a(x:S,a(y:S,t))) a(lambda(x:S),y:S) -> lambda(a(x:S,1)) a(x:S,y:S) -> x:S a(x:S,y:S) -> y:S lambda(x:S) -> x:S ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation:
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