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TRS Standard pair #516966399
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
n071.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.773972988129 seconds
cpu usage
1.423570255
max memory
2.63524352E8
stage attributes
key
value
output-size
4945
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /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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