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TRS Stand 20472 pair #381712365
details
property
value
status
complete
benchmark
21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n013.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.898429870605 seconds
cpu usage
2.353341186
max memory
3.40492288E8
stage attributes
key
value
output-size
3803
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: p(s(x)) -> x fact(0()) -> s(0()) fact(s(x)) -> *(s(x),fact(p(s(x)))) *(0(),y) -> 0() *(s(x),y) -> +(*(x,y),y) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Proof: DP Processor: DPs: fact#(s(x)) -> p#(s(x)) fact#(s(x)) -> fact#(p(s(x))) fact#(s(x)) -> *#(s(x),fact(p(s(x)))) *#(s(x),y) -> *#(x,y) *#(s(x),y) -> +#(*(x,y),y) +#(x,s(y)) -> +#(x,y) TRS: p(s(x)) -> x fact(0()) -> s(0()) fact(s(x)) -> *(s(x),fact(p(s(x)))) *(0(),y) -> 0() *(s(x),y) -> +(*(x,y),y) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) TDG Processor: DPs: fact#(s(x)) -> p#(s(x)) fact#(s(x)) -> fact#(p(s(x))) fact#(s(x)) -> *#(s(x),fact(p(s(x)))) *#(s(x),y) -> *#(x,y) *#(s(x),y) -> +#(*(x,y),y) +#(x,s(y)) -> +#(x,y) TRS: p(s(x)) -> x fact(0()) -> s(0()) fact(s(x)) -> *(s(x),fact(p(s(x)))) *(0(),y) -> 0() *(s(x),y) -> +(*(x,y),y) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) graph: +#(x,s(y)) -> +#(x,y) -> +#(x,s(y)) -> +#(x,y) *#(s(x),y) -> +#(*(x,y),y) -> +#(x,s(y)) -> +#(x,y) *#(s(x),y) -> *#(x,y) -> *#(s(x),y) -> +#(*(x,y),y) *#(s(x),y) -> *#(x,y) -> *#(s(x),y) -> *#(x,y) fact#(s(x)) -> *#(s(x),fact(p(s(x)))) -> *#(s(x),y) -> +#(*(x,y),y) fact#(s(x)) -> *#(s(x),fact(p(s(x)))) -> *#(s(x),y) -> *#(x,y) fact#(s(x)) -> fact#(p(s(x))) -> fact#(s(x)) -> *#(s(x),fact(p(s(x)))) fact#(s(x)) -> fact#(p(s(x))) -> fact#(s(x)) -> fact#(p(s(x))) fact#(s(x)) -> fact#(p(s(x))) -> fact#(s(x)) -> p#(s(x)) SCC Processor: #sccs: 3 #rules: 3 #arcs: 9/36 DPs: fact#(s(x)) -> fact#(p(s(x))) TRS: p(s(x)) -> x fact(0()) -> s(0()) fact(s(x)) -> *(s(x),fact(p(s(x)))) *(0(),y) -> 0() *(s(x),y) -> +(*(x,y),y) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) Usable Rule Processor: DPs: fact#(s(x)) -> fact#(p(s(x))) TRS: p(s(x)) -> x Semantic Labeling Processor: dimension: 2 usable rules: interpretation: [1 0] [p](x0) = [1 0]x0, [1 1] [0] [s](x0) = [1 1]x0 + [1] labeled: fact# usable (for model): fact# s p argument filtering: pi(s) = 0 pi(p) = 0
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