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TRS Standard pair #516966251
details
property
value
status
complete
benchmark
gen-1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.346391916275 seconds
cpu usage
0.228086263
max memory
4444160.0
stage attributes
key
value
output-size
4117
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 b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: B(x:S,b(z:S,y:S)) -> B(f(f(z:S)),c(x:S,z:S,y:S)) B(x:S,b(z:S,y:S)) -> F(b(f(f(z:S)),c(x:S,z:S,y:S))) B(x:S,b(z:S,y:S)) -> F(f(z:S)) B(x:S,b(z:S,y:S)) -> F(z:S) F(c(a,z:S,x:S)) -> B(a,z:S) -> Rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) Problem 1: SCC Processor: -> Pairs: B(x:S,b(z:S,y:S)) -> B(f(f(z:S)),c(x:S,z:S,y:S)) B(x:S,b(z:S,y:S)) -> F(b(f(f(z:S)),c(x:S,z:S,y:S))) B(x:S,b(z:S,y:S)) -> F(f(z:S)) B(x:S,b(z:S,y:S)) -> F(z:S) F(c(a,z:S,x:S)) -> B(a,z:S) -> Rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: B(x:S,b(z:S,y:S)) -> F(b(f(f(z:S)),c(x:S,z:S,y:S))) B(x:S,b(z:S,y:S)) -> F(f(z:S)) B(x:S,b(z:S,y:S)) -> F(z:S) F(c(a,z:S,x:S)) -> B(a,z:S) ->->-> Rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) Problem 1: Reduction Pair Processor: -> Pairs: B(x:S,b(z:S,y:S)) -> F(b(f(f(z:S)),c(x:S,z:S,y:S))) B(x:S,b(z:S,y:S)) -> F(f(z:S)) B(x:S,b(z:S,y:S)) -> F(z:S) F(c(a,z:S,x:S)) -> B(a,z:S) -> Rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) -> Usable rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [b](X1,X2) = 2.X1 + X2 + 1 [f](X) = 1/2.X [a] = 0 [c](X1,X2,X3) = 2.X2 + 1/2.X3 + 2 [B](X1,X2) = 2.X1 + 2.X2 + 2 [F](X) = X + 1/2 Problem 1: SCC Processor: -> Pairs: B(x:S,b(z:S,y:S)) -> F(f(z:S)) B(x:S,b(z:S,y:S)) -> F(z:S) F(c(a,z:S,x:S)) -> B(a,z:S) -> Rules: b(x:S,b(z:S,y:S)) -> f(b(f(f(z:S)),c(x:S,z:S,y:S))) b(y:S,z:S) -> z:S f(c(a,z:S,x:S)) -> b(a,z:S)
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