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TRS Standard pair #516965746
details
property
value
status
complete
benchmark
direct.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Endrullis_06
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.172425031662 seconds
cpu usage
0.0853418
max memory
3915776.0
stage attributes
key
value
output-size
2556
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 h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: SCC Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) ->->-> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: Reduction Pair Processor: -> Pairs: H(c(s(x:S),c(s(0),y:S)),z:S) -> H(y:S,c(s(0),c(x:S,z:S))) H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 2 ->Interpretation: [0] = 1/2 [c](X1,X2) = 1/2.X1 + X2 [s](X) = 1/2.X [H](X1,X2) = X1 + 1/2.X2 Problem 1: SCC Processor: -> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) ->->-> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) Problem 1: Subterm Processor: -> Pairs: H(x:S,c(y:S,z:S)) -> H(c(s(y:S),x:S),z:S) -> Rules: h(c(s(x:S),c(s(0),y:S)),z:S) -> h(y:S,c(s(0),c(x:S,z:S))) h(x:S,c(y:S,z:S)) -> h(c(s(y:S),x:S),z:S) ->Projection: pi(H) = 2 Problem 1: SCC Processor:
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