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TRS Stand 20472 pair #381712366
details
property
value
status
complete
benchmark
secret4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n025.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
1.25416612625 seconds
cpu usage
3.479559488
max memory
3.72457472E8
stage attributes
key
value
output-size
15244
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: a(h(),h(),h(),x) -> s(x) a(l,x,s(y),h()) -> a(l,x,y,s(h())) a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) a(l,s(x),h(),z) -> a(l,x,z,z) a(s(l),h(),h(),z) -> a(l,z,h(),z) +(x,h()) -> x +(h(),x) -> x +(s(x),s(y)) -> s(s(+(x,y))) +(+(x,y),z) -> +(x,+(y,z)) s(h()) -> 1() app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h(),h()),l)) Proof: DP Processor: DPs: a#(h(),h(),h(),x) -> s#(x) a#(l,x,s(y),h()) -> s#(h()) a#(l,x,s(y),h()) -> a#(l,x,y,s(h())) a#(l,x,s(y),s(z)) -> a#(l,x,s(y),z) a#(l,x,s(y),s(z)) -> a#(l,x,y,a(l,x,s(y),z)) a#(l,s(x),h(),z) -> a#(l,x,z,z) a#(s(l),h(),h(),z) -> a#(l,z,h(),z) +#(s(x),s(y)) -> +#(x,y) +#(s(x),s(y)) -> s#(+(x,y)) +#(s(x),s(y)) -> s#(s(+(x,y))) +#(+(x,y),z) -> +#(y,z) +#(+(x,y),z) -> +#(x,+(y,z)) app#(cons(x,l),k) -> app#(l,k) sum#(cons(x,cons(y,l))) -> a#(x,y,h(),h()) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h(),h()),l)) TRS: a(h(),h(),h(),x) -> s(x) a(l,x,s(y),h()) -> a(l,x,y,s(h())) a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) a(l,s(x),h(),z) -> a(l,x,z,z) a(s(l),h(),h(),z) -> a(l,z,h(),z) +(x,h()) -> x +(h(),x) -> x +(s(x),s(y)) -> s(s(+(x,y))) +(+(x,y),z) -> +(x,+(y,z)) s(h()) -> 1() app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h(),h()),l)) TDG Processor: DPs: a#(h(),h(),h(),x) -> s#(x) a#(l,x,s(y),h()) -> s#(h()) a#(l,x,s(y),h()) -> a#(l,x,y,s(h())) a#(l,x,s(y),s(z)) -> a#(l,x,s(y),z) a#(l,x,s(y),s(z)) -> a#(l,x,y,a(l,x,s(y),z)) a#(l,s(x),h(),z) -> a#(l,x,z,z) a#(s(l),h(),h(),z) -> a#(l,z,h(),z) +#(s(x),s(y)) -> +#(x,y) +#(s(x),s(y)) -> s#(+(x,y)) +#(s(x),s(y)) -> s#(s(+(x,y))) +#(+(x,y),z) -> +#(y,z) +#(+(x,y),z) -> +#(x,+(y,z)) app#(cons(x,l),k) -> app#(l,k) sum#(cons(x,cons(y,l))) -> a#(x,y,h(),h()) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h(),h()),l)) TRS: a(h(),h(),h(),x) -> s(x) a(l,x,s(y),h()) -> a(l,x,y,s(h())) a(l,x,s(y),s(z)) -> a(l,x,y,a(l,x,s(y),z)) a(l,s(x),h(),z) -> a(l,x,z,z) a(s(l),h(),h(),z) -> a(l,z,h(),z) +(x,h()) -> x +(h(),x) -> x +(s(x),s(y)) -> s(s(+(x,y))) +(+(x,y),z) -> +(x,+(y,z)) s(h()) -> 1() app(nil(),k) -> k app(l,nil()) -> l app(cons(x,l),k) -> cons(x,app(l,k)) sum(cons(x,nil())) -> cons(x,nil()) sum(cons(x,cons(y,l))) -> sum(cons(a(x,y,h(),h()),l)) graph: sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h(),h()),l)) -> sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h(),h()),l)) sum#(cons(x,cons(y,l))) -> sum#(cons(a(x,y,h(),h()),l)) -> sum#(cons(x,cons(y,l))) -> a#(x,y,h(),h()) sum#(cons(x,cons(y,l))) -> a#(x,y,h(),h()) -> a#(s(l),h(),h(),z) -> a#(l,z,h(),z) sum#(cons(x,cons(y,l))) -> a#(x,y,h(),h()) ->
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