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TRS Condi 20667 pair #381733069
details
property
value
status
complete
benchmark
353.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n082.star.cs.uiowa.edu
space
COPS
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.26303601265 seconds
cpu usage
0.253974101
max memory
9.744384E7
stage attributes
key
value
output-size
10078
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 w ws x' xs xs' y y' ys ys' z zs) (RULES get(cons(x',xs')) -> tp2(y,cons(x',zs)) | get(xs') -> tp2(y,zs) get(cons(y,ys)) -> tp2(y,ys) ssp'(cons(x',xs'),v) -> cons(y',ys') | get(xs') -> tp2(y',zs), sub(v,y') -> w, ssp'(cons(x',zs),w) -> ys' ssp'(cons(y',ws),v) -> cons(y',ys') | sub(v,y') -> w, ssp'(ws,w) -> ys' ssp'(xs,0) -> nil sub(s(v),s(w)) -> z | sub(v,w) -> z sub(z,0) -> z ) Problem 1: Valid CTRS Processor: -> Rules: get(cons(x',xs')) -> tp2(y,cons(x',zs)) | get(xs') -> tp2(y,zs) get(cons(y,ys)) -> tp2(y,ys) ssp'(cons(x',xs'),v) -> cons(y',ys') | get(xs') -> tp2(y',zs), sub(v,y') -> w, ssp'(cons(x',zs),w) -> ys' ssp'(cons(y',ws),v) -> cons(y',ys') | sub(v,y') -> w, ssp'(ws,w) -> ys' ssp'(xs,0) -> nil sub(s(v),s(w)) -> z | sub(v,w) -> z sub(z,0) -> z -> The system is a deterministic 3-CTRS. Problem 1: Dependency Pairs Processor: Conditional Termination Problem 1: -> Pairs: Empty -> QPairs: Empty -> Rules: get(cons(x',xs')) -> tp2(y,cons(x',zs)) | get(xs') -> tp2(y,zs) get(cons(y,ys)) -> tp2(y,ys) ssp'(cons(x',xs'),v) -> cons(y',ys') | get(xs') -> tp2(y',zs), sub(v,y') -> w, ssp'(cons(x',zs),w) -> ys' ssp'(cons(y',ws),v) -> cons(y',ys') | sub(v,y') -> w, ssp'(ws,w) -> ys' ssp'(xs,0) -> nil sub(s(v),s(w)) -> z | sub(v,w) -> z sub(z,0) -> z Conditional Termination Problem 2: -> Pairs: GET(cons(x',xs')) -> GET(xs') SSP'(cons(x',xs'),v) -> GET(xs') SSP'(cons(x',xs'),v) -> SSP'(cons(x',zs),w) | get(xs') -> tp2(y',zs), sub(v,y') -> w SSP'(cons(x',xs'),v) -> SUB(v,y') | get(xs') -> tp2(y',zs) SSP'(cons(y',ws),v) -> SSP'(ws,w) | sub(v,y') -> w SSP'(cons(y',ws),v) -> SUB(v,y') SUB(s(v),s(w)) -> SUB(v,w) -> QPairs: Empty -> Rules: get(cons(x',xs')) -> tp2(y,cons(x',zs)) | get(xs') -> tp2(y,zs) get(cons(y,ys)) -> tp2(y,ys) ssp'(cons(x',xs'),v) -> cons(y',ys') | get(xs') -> tp2(y',zs), sub(v,y') -> w, ssp'(cons(x',zs),w) -> ys' ssp'(cons(y',ws),v) -> cons(y',ys') | sub(v,y') -> w, ssp'(ws,w) -> ys' ssp'(xs,0) -> nil sub(s(v),s(w)) -> z | sub(v,w) -> z sub(z,0) -> z The problem is decomposed in 2 subproblems. Problem 1.1: SCC Processor: -> Pairs: Empty -> QPairs: Empty -> Rules: get(cons(x',xs')) -> tp2(y,cons(x',zs)) | get(xs') -> tp2(y,zs) get(cons(y,ys)) -> tp2(y,ys) ssp'(cons(x',xs'),v) -> cons(y',ys') | get(xs') -> tp2(y',zs), sub(v,y') -> w, ssp'(cons(x',zs),w) -> ys' ssp'(cons(y',ws),v) -> cons(y',ys') | sub(v,y') -> w, ssp'(ws,w) -> ys' ssp'(xs,0) -> nil sub(s(v),s(w)) -> z | sub(v,w) -> z sub(z,0) -> z ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: SCC Processor: -> Pairs: GET(cons(x',xs')) -> GET(xs') SSP'(cons(x',xs'),v) -> GET(xs')
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