Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516964756
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
n135.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.416380167007 seconds
cpu usage
0.338282624
max memory
5689344.0
stage attributes
key
value
output-size
24590
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 DDX:S DX:S DY:S X:S Y:S) (RULES din(der(der(X:S))) -> u41(din(der(X:S)),X:S) din(der(plus(X:S,Y:S))) -> u21(din(der(X:S)),X:S,Y:S) din(der(times(X:S,Y:S))) -> u31(din(der(X:S)),X:S,Y:S) u21(dout(DX:S),X:S,Y:S) -> u22(din(der(Y:S)),X:S,Y:S,DX:S) u22(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(DX:S,DY:S)) u31(dout(DX:S),X:S,Y:S) -> u32(din(der(Y:S)),X:S,Y:S,DX:S) u32(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(times(X:S,DY:S),times(Y:S,DX:S))) u41(dout(DX:S),X:S) -> u42(din(der(DX:S)),X:S,DX:S) u42(dout(DDX:S),X:S,DX:S) -> dout(DDX:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: din(der(der(X:S))) -> u41(din(der(X:S)),X:S) din(der(plus(X:S,Y:S))) -> u21(din(der(X:S)),X:S,Y:S) din(der(times(X:S,Y:S))) -> u31(din(der(X:S)),X:S,Y:S) u21(dout(DX:S),X:S,Y:S) -> u22(din(der(Y:S)),X:S,Y:S,DX:S) u22(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(DX:S,DY:S)) u31(dout(DX:S),X:S,Y:S) -> u32(din(der(Y:S)),X:S,Y:S,DX:S) u32(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(times(X:S,DY:S),times(Y:S,DX:S))) u41(dout(DX:S),X:S) -> u42(din(der(DX:S)),X:S,DX:S) u42(dout(DDX:S),X:S,DX:S) -> dout(DDX:S) -> 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:S))) -> DIN(der(X:S)) DIN(der(der(X:S))) -> U41(din(der(X:S)),X:S) DIN(der(plus(X:S,Y:S))) -> DIN(der(X:S)) DIN(der(plus(X:S,Y:S))) -> U21(din(der(X:S)),X:S,Y:S) DIN(der(times(X:S,Y:S))) -> DIN(der(X:S)) DIN(der(times(X:S,Y:S))) -> U31(din(der(X:S)),X:S,Y:S) U21(dout(DX:S),X:S,Y:S) -> DIN(der(Y:S)) U21(dout(DX:S),X:S,Y:S) -> U22(din(der(Y:S)),X:S,Y:S,DX:S) U31(dout(DX:S),X:S,Y:S) -> DIN(der(Y:S)) U31(dout(DX:S),X:S,Y:S) -> U32(din(der(Y:S)),X:S,Y:S,DX:S) U41(dout(DX:S),X:S) -> DIN(der(DX:S)) U41(dout(DX:S),X:S) -> U42(din(der(DX:S)),X:S,DX:S) -> Rules: din(der(der(X:S))) -> u41(din(der(X:S)),X:S) din(der(plus(X:S,Y:S))) -> u21(din(der(X:S)),X:S,Y:S) din(der(times(X:S,Y:S))) -> u31(din(der(X:S)),X:S,Y:S) u21(dout(DX:S),X:S,Y:S) -> u22(din(der(Y:S)),X:S,Y:S,DX:S) u22(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(DX:S,DY:S)) u31(dout(DX:S),X:S,Y:S) -> u32(din(der(Y:S)),X:S,Y:S,DX:S) u32(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(times(X:S,DY:S),times(Y:S,DX:S))) u41(dout(DX:S),X:S) -> u42(din(der(DX:S)),X:S,DX:S) u42(dout(DDX:S),X:S,DX:S) -> dout(DDX:S) Problem 1: SCC Processor: -> Pairs: DIN(der(der(X:S))) -> DIN(der(X:S)) DIN(der(der(X:S))) -> U41(din(der(X:S)),X:S) DIN(der(plus(X:S,Y:S))) -> DIN(der(X:S)) DIN(der(plus(X:S,Y:S))) -> U21(din(der(X:S)),X:S,Y:S) DIN(der(times(X:S,Y:S))) -> DIN(der(X:S)) DIN(der(times(X:S,Y:S))) -> U31(din(der(X:S)),X:S,Y:S) U21(dout(DX:S),X:S,Y:S) -> DIN(der(Y:S)) U21(dout(DX:S),X:S,Y:S) -> U22(din(der(Y:S)),X:S,Y:S,DX:S) U31(dout(DX:S),X:S,Y:S) -> DIN(der(Y:S)) U31(dout(DX:S),X:S,Y:S) -> U32(din(der(Y:S)),X:S,Y:S,DX:S) U41(dout(DX:S),X:S) -> DIN(der(DX:S)) U41(dout(DX:S),X:S) -> U42(din(der(DX:S)),X:S,DX:S) -> Rules: din(der(der(X:S))) -> u41(din(der(X:S)),X:S) din(der(plus(X:S,Y:S))) -> u21(din(der(X:S)),X:S,Y:S) din(der(times(X:S,Y:S))) -> u31(din(der(X:S)),X:S,Y:S) u21(dout(DX:S),X:S,Y:S) -> u22(din(der(Y:S)),X:S,Y:S,DX:S) u22(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(DX:S,DY:S)) u31(dout(DX:S),X:S,Y:S) -> u32(din(der(Y:S)),X:S,Y:S,DX:S) u32(dout(DY:S),X:S,Y:S,DX:S) -> dout(plus(times(X:S,DY:S),times(Y:S,DX:S))) u41(dout(DX:S),X:S) -> u42(din(der(DX:S)),X:S,DX:S) u42(dout(DDX:S),X:S,DX:S) -> dout(DDX:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: DIN(der(der(X:S))) -> DIN(der(X:S)) DIN(der(der(X:S))) -> U41(din(der(X:S)),X:S) DIN(der(plus(X:S,Y:S))) -> DIN(der(X:S)) DIN(der(plus(X:S,Y:S))) -> U21(din(der(X:S)),X:S,Y:S) DIN(der(times(X:S,Y:S))) -> DIN(der(X:S))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard