Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Conditional pair #487562817
details
property
value
status
complete
benchmark
310.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.127568006516 seconds
cpu usage
0.077747858
max memory
3739648.0
stage attributes
key
value
output-size
19751
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 v_NonEmpty:S x:S y:S) (RULES add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S)) gcd(add(x:S,y:S),y:S) -> gcd(x:S,y:S) gcd(0,x:S) -> x:S gcd(x:S,0) -> x:S gcd(x:S,y:S) -> gcd(y:S,x:S) | leq(y:S,x:S) ->* ffalse gcd(y:S,add(x:S,y:S)) -> gcd(x:S,y:S) ) Problem 1: Valid CTRS Processor: -> Rules: add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S)) gcd(add(x:S,y:S),y:S) -> gcd(x:S,y:S) gcd(0,x:S) -> x:S gcd(x:S,0) -> x:S gcd(x:S,y:S) -> gcd(y:S,x:S) | leq(y:S,x:S) ->* ffalse gcd(y:S,add(x:S,y:S)) -> gcd(x:S,y:S) -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: ADD(s(x:S),y:S) -> ADD(x:S,y:S) GCD(add(x:S,y:S),y:S) -> GCD(x:S,y:S) GCD(x:S,y:S) -> GCD(y:S,x:S) | leq(y:S,x:S) ->* ffalse GCD(y:S,add(x:S,y:S)) -> GCD(x:S,y:S) -> QPairs: Empty -> Rules: add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S)) gcd(add(x:S,y:S),y:S) -> gcd(x:S,y:S) gcd(0,x:S) -> x:S gcd(x:S,0) -> x:S gcd(x:S,y:S) -> gcd(y:S,x:S) | leq(y:S,x:S) ->* ffalse gcd(y:S,add(x:S,y:S)) -> gcd(x:S,y:S) Conditional Termination Problem 2: -> Pairs: Empty -> QPairs: Empty -> Rules: add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S)) gcd(add(x:S,y:S),y:S) -> gcd(x:S,y:S) gcd(0,x:S) -> x:S gcd(x:S,0) -> x:S gcd(x:S,y:S) -> gcd(y:S,x:S) | leq(y:S,x:S) ->* ffalse gcd(y:S,add(x:S,y:S)) -> gcd(x:S,y:S) The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: ADD(s(x:S),y:S) -> ADD(x:S,y:S) GCD(add(x:S,y:S),y:S) -> GCD(x:S,y:S) GCD(x:S,y:S) -> GCD(y:S,x:S) | leq(y:S,x:S) ->* ffalse GCD(y:S,add(x:S,y:S)) -> GCD(x:S,y:S) -> QPairs: Empty -> Rules: add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S)) gcd(add(x:S,y:S),y:S) -> gcd(x:S,y:S) gcd(0,x:S) -> x:S gcd(x:S,0) -> x:S gcd(x:S,y:S) -> gcd(y:S,x:S) | leq(y:S,x:S) ->* ffalse gcd(y:S,add(x:S,y:S)) -> gcd(x:S,y:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: GCD(add(x:S,y:S),y:S) -> GCD(x:S,y:S) GCD(x:S,y:S) -> GCD(y:S,x:S) | leq(y:S,x:S) ->* ffalse GCD(y:S,add(x:S,y:S)) -> GCD(x:S,y:S) -> QPairs: Empty ->->-> Rules: add(0,y:S) -> y:S add(s(x:S),y:S) -> s(add(x:S,y:S))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Conditional