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TRS Stand 20472 pair #381715011
details
property
value
status
complete
benchmark
2.26.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.740411996841 seconds
cpu usage
1.453586552
max memory
2.42958336E8
stage attributes
key
value
output-size
4959
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: f(0()) -> 0() f(s(0())) -> s(0()) f(s(s(x))) -> p(h(g(x))) g(0()) -> pair(s(0()),s(0())) g(s(x)) -> h(g(x)) h(x) -> pair(+(p(x),q(x)),p(x)) p(pair(x,y)) -> x q(pair(x,y)) -> y +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(s(s(x))) -> +(p(g(x)),q(g(x))) g(s(x)) -> pair(+(p(g(x)),q(g(x))),p(g(x))) Proof: DP Processor: DPs: f#(s(s(x))) -> g#(x) f#(s(s(x))) -> h#(g(x)) f#(s(s(x))) -> p#(h(g(x))) g#(s(x)) -> g#(x) g#(s(x)) -> h#(g(x)) h#(x) -> q#(x) h#(x) -> p#(x) h#(x) -> +#(p(x),q(x)) +#(x,s(y)) -> +#(x,y) f#(s(s(x))) -> q#(g(x)) f#(s(s(x))) -> p#(g(x)) f#(s(s(x))) -> +#(p(g(x)),q(g(x))) g#(s(x)) -> q#(g(x)) g#(s(x)) -> p#(g(x)) g#(s(x)) -> +#(p(g(x)),q(g(x))) TRS: f(0()) -> 0() f(s(0())) -> s(0()) f(s(s(x))) -> p(h(g(x))) g(0()) -> pair(s(0()),s(0())) g(s(x)) -> h(g(x)) h(x) -> pair(+(p(x),q(x)),p(x)) p(pair(x,y)) -> x q(pair(x,y)) -> y +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(s(s(x))) -> +(p(g(x)),q(g(x))) g(s(x)) -> pair(+(p(g(x)),q(g(x))),p(g(x))) TDG Processor: DPs: f#(s(s(x))) -> g#(x) f#(s(s(x))) -> h#(g(x)) f#(s(s(x))) -> p#(h(g(x))) g#(s(x)) -> g#(x) g#(s(x)) -> h#(g(x)) h#(x) -> q#(x) h#(x) -> p#(x) h#(x) -> +#(p(x),q(x)) +#(x,s(y)) -> +#(x,y) f#(s(s(x))) -> q#(g(x)) f#(s(s(x))) -> p#(g(x)) f#(s(s(x))) -> +#(p(g(x)),q(g(x))) g#(s(x)) -> q#(g(x)) g#(s(x)) -> p#(g(x)) g#(s(x)) -> +#(p(g(x)),q(g(x))) TRS: f(0()) -> 0() f(s(0())) -> s(0()) f(s(s(x))) -> p(h(g(x))) g(0()) -> pair(s(0()),s(0())) g(s(x)) -> h(g(x)) h(x) -> pair(+(p(x),q(x)),p(x)) p(pair(x,y)) -> x q(pair(x,y)) -> y +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) f(s(s(x))) -> +(p(g(x)),q(g(x))) g(s(x)) -> pair(+(p(g(x)),q(g(x))),p(g(x))) graph: +#(x,s(y)) -> +#(x,y) -> +#(x,s(y)) -> +#(x,y) h#(x) -> +#(p(x),q(x)) -> +#(x,s(y)) -> +#(x,y) g#(s(x)) -> +#(p(g(x)),q(g(x))) -> +#(x,s(y)) -> +#(x,y) g#(s(x)) -> h#(g(x)) -> h#(x) -> +#(p(x),q(x)) g#(s(x)) -> h#(g(x)) -> h#(x) -> p#(x) g#(s(x)) -> h#(g(x)) -> h#(x) -> q#(x) g#(s(x)) -> g#(x) -> g#(s(x)) -> +#(p(g(x)),q(g(x))) g#(s(x)) -> g#(x) -> g#(s(x)) -> p#(g(x)) g#(s(x)) -> g#(x) -> g#(s(x)) -> q#(g(x)) g#(s(x)) -> g#(x) -> g#(s(x)) -> h#(g(x)) g#(s(x)) -> g#(x) -> g#(s(x)) -> g#(x) f#(s(s(x))) -> +#(p(g(x)),q(g(x))) -> +#(x,s(y)) -> +#(x,y) f#(s(s(x))) -> h#(g(x)) -> h#(x) -> +#(p(x),q(x)) f#(s(s(x))) -> h#(g(x)) -> h#(x) -> p#(x) f#(s(s(x))) -> h#(g(x)) -> h#(x) -> q#(x) f#(s(s(x))) -> g#(x) -> g#(s(x)) -> +#(p(g(x)),q(g(x)))
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