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TRS Standard pair #516965436
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
n114.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.24875497818 seconds
cpu usage
0.197305686
max memory
3895296.0
stage attributes
key
value
output-size
7036
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 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
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