Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516966929
details
property
value
status
complete
benchmark
2.22.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n116.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.6053378582 seconds
cpu usage
0.826798824
max memory
1.57425664E8
stage attributes
key
value
output-size
3060
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) Proof: DP Processor: DPs: exp#(x,s(y)) -> exp#(x,y) exp#(x,s(y)) -> *#(x,exp(x,y)) *#(s(x),y) -> *#(x,y) -#(s(x),s(y)) -> -#(x,y) TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) TDG Processor: DPs: exp#(x,s(y)) -> exp#(x,y) exp#(x,s(y)) -> *#(x,exp(x,y)) *#(s(x),y) -> *#(x,y) -#(s(x),s(y)) -> -#(x,y) TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) graph: -#(s(x),s(y)) -> -#(x,y) -> -#(s(x),s(y)) -> -#(x,y) *#(s(x),y) -> *#(x,y) -> *#(s(x),y) -> *#(x,y) exp#(x,s(y)) -> *#(x,exp(x,y)) -> *#(s(x),y) -> *#(x,y) exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> *#(x,exp(x,y)) exp#(x,s(y)) -> exp#(x,y) -> exp#(x,s(y)) -> exp#(x,y) SCC Processor: #sccs: 3 #rules: 3 #arcs: 5/16 DPs: exp#(x,s(y)) -> exp#(x,y) TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) Subterm Criterion Processor: simple projection: pi(exp#) = 1 problem: DPs: TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) Qed DPs: *#(s(x),y) -> *#(x,y) TRS: exp(x,0()) -> s(0()) exp(x,s(y)) -> *(x,exp(x,y)) *(0(),y) -> 0() *(s(x),y) -> +(y,*(x,y)) -(0(),y) -> 0() -(x,0()) -> x -(s(x),s(y)) -> -(x,y) Subterm Criterion Processor: simple projection: pi(*#) = 0 problem: DPs: TRS: exp(x,0()) -> s(0())
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard