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TRS Stand 20472 pair #381711206
details
property
value
status
complete
benchmark
secret2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n021.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.764373064041 seconds
cpu usage
1.571020429
max memory
2.40300032E8
stage attributes
key
value
output-size
12693
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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() *(h(),x) -> h() *(x,h()) -> h() *(s(x),s(y)) -> s(+(+(*(x,y),x),y)) 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)) *#(s(x),s(y)) -> *#(x,y) *#(s(x),s(y)) -> +#(*(x,y),x) *#(s(x),s(y)) -> +#(+(*(x,y),x),y) *#(s(x),s(y)) -> s#(+(+(*(x,y),x),y)) 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() *(h(),x) -> h() *(x,h()) -> h() *(s(x),s(y)) -> s(+(+(*(x,y),x),y)) 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)) *#(s(x),s(y)) -> *#(x,y) *#(s(x),s(y)) -> +#(*(x,y),x) *#(s(x),s(y)) -> +#(+(*(x,y),x),y) *#(s(x),s(y)) -> s#(+(+(*(x,y),x),y)) 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() *(h(),x) -> h() *(x,h()) -> h() *(s(x),s(y)) -> s(+(+(*(x,y),x),y)) graph: *#(s(x),s(y)) -> *#(x,y) -> *#(s(x),s(y)) -> s#(+(+(*(x,y),x),y)) *#(s(x),s(y)) -> *#(x,y) -> *#(s(x),s(y)) -> +#(+(*(x,y),x),y) *#(s(x),s(y)) -> *#(x,y) -> *#(s(x),s(y)) -> +#(*(x,y),x) *#(s(x),s(y)) -> *#(x,y) -> *#(s(x),s(y)) -> *#(x,y) *#(s(x),s(y)) -> +#(*(x,y),x) -> +#(+(x,y),z) -> +#(x,+(y,z)) *#(s(x),s(y)) -> +#(*(x,y),x) -> +#(+(x,y),z) -> +#(y,z) *#(s(x),s(y)) -> +#(*(x,y),x) -> +#(s(x),s(y)) -> s#(s(+(x,y))) *#(s(x),s(y)) -> +#(*(x,y),x) -> +#(s(x),s(y)) -> s#(+(x,y)) *#(s(x),s(y)) -> +#(*(x,y),x) -> +#(s(x),s(y)) -> +#(x,y) *#(s(x),s(y)) -> +#(+(*(x,y),x),y) -> +#(+(x,y),z) -> +#(x,+(y,z))
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