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TRS Standard pair #516964736
details
property
value
status
complete
benchmark
polo2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0808329582214 seconds
cpu usage
0.022021756
max memory
1949696.0
stage attributes
key
value
output-size
6078
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 ALPHA:S BETA:S X:S) (RULES dx(a) -> zero dx(div(ALPHA:S,BETA:S)) -> minus(div(dx(ALPHA:S),BETA:S),times(ALPHA:S,div(dx(BETA:S),exp(BETA:S,two)))) dx(exp(ALPHA:S,BETA:S)) -> plus(times(BETA:S,times(exp(ALPHA:S,minus(BETA:S,one)),dx(ALPHA:S))),times(exp(ALPHA:S,BETA:S),times(ln(ALPHA:S),dx(BETA:S)))) dx(ln(ALPHA:S)) -> div(dx(ALPHA:S),ALPHA:S) dx(minus(ALPHA:S,BETA:S)) -> minus(dx(ALPHA:S),dx(BETA:S)) dx(neg(ALPHA:S)) -> neg(dx(ALPHA:S)) dx(plus(ALPHA:S,BETA:S)) -> plus(dx(ALPHA:S),dx(BETA:S)) dx(times(ALPHA:S,BETA:S)) -> plus(times(BETA:S,dx(ALPHA:S)),times(ALPHA:S,dx(BETA:S))) dx(X:S) -> one ) Problem 1: Dependency Pairs Processor: -> Pairs: DX(div(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(div(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(ln(ALPHA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(neg(ALPHA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(times(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(times(ALPHA:S,BETA:S)) -> DX(BETA:S) -> Rules: dx(a) -> zero dx(div(ALPHA:S,BETA:S)) -> minus(div(dx(ALPHA:S),BETA:S),times(ALPHA:S,div(dx(BETA:S),exp(BETA:S,two)))) dx(exp(ALPHA:S,BETA:S)) -> plus(times(BETA:S,times(exp(ALPHA:S,minus(BETA:S,one)),dx(ALPHA:S))),times(exp(ALPHA:S,BETA:S),times(ln(ALPHA:S),dx(BETA:S)))) dx(ln(ALPHA:S)) -> div(dx(ALPHA:S),ALPHA:S) dx(minus(ALPHA:S,BETA:S)) -> minus(dx(ALPHA:S),dx(BETA:S)) dx(neg(ALPHA:S)) -> neg(dx(ALPHA:S)) dx(plus(ALPHA:S,BETA:S)) -> plus(dx(ALPHA:S),dx(BETA:S)) dx(times(ALPHA:S,BETA:S)) -> plus(times(BETA:S,dx(ALPHA:S)),times(ALPHA:S,dx(BETA:S))) dx(X:S) -> one Problem 1: SCC Processor: -> Pairs: DX(div(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(div(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(ln(ALPHA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(neg(ALPHA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(times(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(times(ALPHA:S,BETA:S)) -> DX(BETA:S) -> Rules: dx(a) -> zero dx(div(ALPHA:S,BETA:S)) -> minus(div(dx(ALPHA:S),BETA:S),times(ALPHA:S,div(dx(BETA:S),exp(BETA:S,two)))) dx(exp(ALPHA:S,BETA:S)) -> plus(times(BETA:S,times(exp(ALPHA:S,minus(BETA:S,one)),dx(ALPHA:S))),times(exp(ALPHA:S,BETA:S),times(ln(ALPHA:S),dx(BETA:S)))) dx(ln(ALPHA:S)) -> div(dx(ALPHA:S),ALPHA:S) dx(minus(ALPHA:S,BETA:S)) -> minus(dx(ALPHA:S),dx(BETA:S)) dx(neg(ALPHA:S)) -> neg(dx(ALPHA:S)) dx(plus(ALPHA:S,BETA:S)) -> plus(dx(ALPHA:S),dx(BETA:S)) dx(times(ALPHA:S,BETA:S)) -> plus(times(BETA:S,dx(ALPHA:S)),times(ALPHA:S,dx(BETA:S))) dx(X:S) -> one ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DX(div(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(div(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(exp(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(ln(ALPHA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(minus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(neg(ALPHA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(plus(ALPHA:S,BETA:S)) -> DX(BETA:S) DX(times(ALPHA:S,BETA:S)) -> DX(ALPHA:S) DX(times(ALPHA:S,BETA:S)) -> DX(BETA:S) ->->-> Rules: dx(a) -> zero dx(div(ALPHA:S,BETA:S)) -> minus(div(dx(ALPHA:S),BETA:S),times(ALPHA:S,div(dx(BETA:S),exp(BETA:S,two)))) dx(exp(ALPHA:S,BETA:S)) -> plus(times(BETA:S,times(exp(ALPHA:S,minus(BETA:S,one)),dx(ALPHA:S))),times(exp(ALPHA:S,BETA:S),times(ln(ALPHA:S),dx(BETA:S)))) dx(ln(ALPHA:S)) -> div(dx(ALPHA:S),ALPHA:S) dx(minus(ALPHA:S,BETA:S)) -> minus(dx(ALPHA:S),dx(BETA:S)) dx(neg(ALPHA:S)) -> neg(dx(ALPHA:S)) dx(plus(ALPHA:S,BETA:S)) -> plus(dx(ALPHA:S),dx(BETA:S)) dx(times(ALPHA:S,BETA:S)) -> plus(times(BETA:S,dx(ALPHA:S)),times(ALPHA:S,dx(BETA:S)))
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