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TRS Standard pair #516966176
details
property
value
status
complete
benchmark
gen-17.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n010.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.358548879623 seconds
cpu usage
0.273607463
max memory
8163328.0
stage attributes
key
value
output-size
2412
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 c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(b(b(x:S,f(y:S)),z:S)) -> C(z:S,x:S,f(b(b(f(a),y:S),y:S))) F(b(b(x:S,f(y:S)),z:S)) -> F(b(b(f(a),y:S),y:S)) -> Rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) Problem 1: SCC Processor: -> Pairs: F(b(b(x:S,f(y:S)),z:S)) -> C(z:S,x:S,f(b(b(f(a),y:S),y:S))) F(b(b(x:S,f(y:S)),z:S)) -> F(b(b(f(a),y:S),y:S)) -> Rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(b(b(x:S,f(y:S)),z:S)) -> F(b(b(f(a),y:S),y:S)) ->->-> Rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) Problem 1: Reduction Pair Processor: -> Pairs: F(b(b(x:S,f(y:S)),z:S)) -> F(b(b(f(a),y:S),y:S)) -> Rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) -> Usable rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [c](X1,X2,X3) = 3.X1 + 4.X2 + 1/2 [f](X) = 4.X + 1/4 [a] = 0 [b](X1,X2) = 4/3.X1 + 2.X2 + 3/4 [F](X) = 3/2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: c(b(a,a),b(y:S,z:S),x:S) -> b(a,b(z:S,z:S)) f(c(c(a,y:S,a),b(x:S,z:S),a)) -> b(y:S,f(c(f(a),z:S,z:S))) f(b(b(x:S,f(y:S)),z:S)) -> c(z:S,x:S,f(b(b(f(a),y:S),y:S))) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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