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TRS Stand 20472 pair #381713118
details
property
value
status
complete
benchmark
bn122.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n027.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.042797088623 seconds
cpu usage
0.026200984
max memory
2801664.0
stage attributes
key
value
output-size
2359
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 X Y Z) (RULES plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) ) Problem 1: Dependency Pairs Processor: -> Pairs: PLUS(plus(X,Y),Z) -> PLUS(X,plus(Y,Z)) PLUS(plus(X,Y),Z) -> PLUS(Y,Z) TIMES(X,s(Y)) -> PLUS(X,times(Y,X)) TIMES(X,s(Y)) -> TIMES(Y,X) -> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) Problem 1: SCC Processor: -> Pairs: PLUS(plus(X,Y),Z) -> PLUS(X,plus(Y,Z)) PLUS(plus(X,Y),Z) -> PLUS(Y,Z) TIMES(X,s(Y)) -> PLUS(X,times(Y,X)) TIMES(X,s(Y)) -> TIMES(Y,X) -> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(plus(X,Y),Z) -> PLUS(X,plus(Y,Z)) PLUS(plus(X,Y),Z) -> PLUS(Y,Z) ->->-> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) ->->Cycle: ->->-> Pairs: TIMES(X,s(Y)) -> TIMES(Y,X) ->->-> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: PLUS(plus(X,Y),Z) -> PLUS(X,plus(Y,Z)) PLUS(plus(X,Y),Z) -> PLUS(Y,Z) -> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) ->Projection: pi(PLUS) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Reduction Pair Processor: -> Pairs: TIMES(X,s(Y)) -> TIMES(Y,X) -> Rules: plus(plus(X,Y),Z) -> plus(X,plus(Y,Z)) times(X,s(Y)) -> plus(X,times(Y,X)) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2
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