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TRS Stand 20472 pair #381713328
details
property
value
status
complete
benchmark
wst99.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.314418077469 seconds
cpu usage
0.281463682
max memory
5480448.0
stage attributes
key
value
output-size
20096
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 DDX DX DY X Y) (RULES din(der(der(X))) -> u41(din(der(X)),X) din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) ) Problem 1: Innermost Equivalent Processor: -> Rules: din(der(der(X))) -> u41(din(der(X)),X) din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: DIN(der(der(X))) -> DIN(der(X)) DIN(der(der(X))) -> U41(din(der(X)),X) DIN(der(plus(X,Y))) -> DIN(der(X)) DIN(der(plus(X,Y))) -> U21(din(der(X)),X,Y) DIN(der(times(X,Y))) -> DIN(der(X)) DIN(der(times(X,Y))) -> U31(din(der(X)),X,Y) U21(dout(DX),X,Y) -> DIN(der(Y)) U21(dout(DX),X,Y) -> U22(din(der(Y)),X,Y,DX) U31(dout(DX),X,Y) -> DIN(der(Y)) U31(dout(DX),X,Y) -> U32(din(der(Y)),X,Y,DX) U41(dout(DX),X) -> DIN(der(DX)) U41(dout(DX),X) -> U42(din(der(DX)),X,DX) -> Rules: din(der(der(X))) -> u41(din(der(X)),X) din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) Problem 1: SCC Processor: -> Pairs: DIN(der(der(X))) -> DIN(der(X)) DIN(der(der(X))) -> U41(din(der(X)),X) DIN(der(plus(X,Y))) -> DIN(der(X)) DIN(der(plus(X,Y))) -> U21(din(der(X)),X,Y) DIN(der(times(X,Y))) -> DIN(der(X)) DIN(der(times(X,Y))) -> U31(din(der(X)),X,Y) U21(dout(DX),X,Y) -> DIN(der(Y)) U21(dout(DX),X,Y) -> U22(din(der(Y)),X,Y,DX) U31(dout(DX),X,Y) -> DIN(der(Y)) U31(dout(DX),X,Y) -> U32(din(der(Y)),X,Y,DX) U41(dout(DX),X) -> DIN(der(DX)) U41(dout(DX),X) -> U42(din(der(DX)),X,DX) -> Rules: din(der(der(X))) -> u41(din(der(X)),X) din(der(plus(X,Y))) -> u21(din(der(X)),X,Y) din(der(times(X,Y))) -> u31(din(der(X)),X,Y) u21(dout(DX),X,Y) -> u22(din(der(Y)),X,Y,DX) u22(dout(DY),X,Y,DX) -> dout(plus(DX,DY)) u31(dout(DX),X,Y) -> u32(din(der(Y)),X,Y,DX) u32(dout(DY),X,Y,DX) -> dout(plus(times(X,DY),times(Y,DX))) u41(dout(DX),X) -> u42(din(der(DX)),X,DX) u42(dout(DDX),X,DX) -> dout(DDX) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DIN(der(der(X))) -> DIN(der(X)) DIN(der(der(X))) -> U41(din(der(X)),X) DIN(der(plus(X,Y))) -> DIN(der(X)) DIN(der(plus(X,Y))) -> U21(din(der(X)),X,Y) DIN(der(times(X,Y))) -> DIN(der(X))
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