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TRS Stand 20472 pair #381714187
details
property
value
status
complete
benchmark
#3.21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n108.star.cs.uiowa.edu
space
AG01
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.134655952454 seconds
cpu usage
0.09146539
max memory
5623808.0
stage attributes
key
value
output-size
2437
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 x y) (RULES plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x ) Problem 1: Innermost Equivalent Processor: -> Rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: TIMES(x,plus(y,1)) -> PLUS(times(x,plus(y,times(1,0))),x) TIMES(x,plus(y,1)) -> PLUS(y,times(1,0)) TIMES(x,plus(y,1)) -> TIMES(1,0) TIMES(x,plus(y,1)) -> TIMES(x,plus(y,times(1,0))) -> Rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x Problem 1: SCC Processor: -> Pairs: TIMES(x,plus(y,1)) -> PLUS(times(x,plus(y,times(1,0))),x) TIMES(x,plus(y,1)) -> PLUS(y,times(1,0)) TIMES(x,plus(y,1)) -> TIMES(1,0) TIMES(x,plus(y,1)) -> TIMES(x,plus(y,times(1,0))) -> Rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: TIMES(x,plus(y,1)) -> TIMES(x,plus(y,times(1,0))) ->->-> Rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x Problem 1: Reduction Pairs Processor: -> Pairs: TIMES(x,plus(y,1)) -> TIMES(x,plus(y,times(1,0))) -> Rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x -> Usable rules: plus(x,0) -> x times(x,plus(y,1)) -> plus(times(x,plus(y,times(1,0))),x) times(x,0) -> 0 times(x,1) -> x ->Interpretation type: Simple mixed ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [plus](X1,X2) = X1 + 2.X2 [times](X1,X2) = 2.X1.X2 [0] = 0 [1] = 2 [TIMES](X1,X2) = 2.X2 Problem 1: SCC Processor:
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