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TRS Standard pair #516964731
details
property
value
status
complete
benchmark
bn129.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n058.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.260267019272 seconds
cpu usage
0.161376672
max memory
3788800.0
stage attributes
key
value
output-size
7670
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 X1:S X2:S X3:S X4:S Y:S Z:S) (RULES plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ) Problem 1: Dependency Pairs Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) Problem 1: SCC Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) ->->-> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) Problem 1: Reduction Pair Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(s(s(Y:S)),Z:S) PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) -> Usable rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [plus](X1,X2) = 2.X1 + X2 + 2 [s](X) = X [PLUS](X1,X2) = 2.X1 + X2 Problem 1: SCC Processor: -> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S)) -> Rules: plus(s(X:S),plus(Y:S,Z:S)) -> plus(X:S,plus(s(s(Y:S)),Z:S)) plus(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> plus(X1:S,plus(X3:S,plus(X2:S,X4:S))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: PLUS(s(X:S),plus(Y:S,Z:S)) -> PLUS(X:S,plus(s(s(Y:S)),Z:S)) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X1:S,plus(X3:S,plus(X2:S,X4:S))) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X2:S,X4:S) PLUS(s(X1:S),plus(X2:S,plus(X3:S,X4:S))) -> PLUS(X3:S,plus(X2:S,X4:S))
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