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TRS Standard pair #516964556
details
property
value
status
complete
benchmark
hydra.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n112.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0929119586945 seconds
cpu usage
0.019029211
max memory
1757184.0
stage attributes
key
value
output-size
2005
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 v_NonEmpty:S x:S y:S z:S) (RULES copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ) Problem 1: Dependency Pairs Processor: -> Pairs: COPY(0,y:S,z:S) -> F(z:S) COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) COPY(s(x:S),y:S,z:S) -> F(y:S) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S Problem 1: SCC Processor: -> Pairs: COPY(0,y:S,z:S) -> F(z:S) COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) COPY(s(x:S),y:S,z:S) -> F(y:S) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) ->->-> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S Problem 1: Subterm Processor: -> Pairs: COPY(s(x:S),y:S,z:S) -> COPY(x:S,y:S,cons(f(y:S),z:S)) -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Projection: pi(COPY) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: copy(0,y:S,z:S) -> f(z:S) copy(s(x:S),y:S,z:S) -> copy(x:S,y:S,cons(f(y:S),z:S)) f(cons(f(cons(nil,y:S)),z:S)) -> copy(n,y:S,z:S) f(cons(nil,y:S)) -> y:S ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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