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TRS Standard pair #516966149
details
property
value
status
complete
benchmark
5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n067.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
3.47355890274 seconds
cpu usage
12.273718601
max memory
1.030201344E9
stage attributes
key
value
output-size
4961
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: a(a(y,0()),0()) -> y c(c(y)) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) Proof: Matrix Interpretation Processor: dim=1 interpretation: [a](x0, x1) = x0 + x1, [0] = 0, [c](x0) = x0 + 2 orientation: a(a(y,0()),0()) = y >= y = y c(c(y)) = y + 4 >= y = y c(a(c(c(y)),x)) = x + y + 6 >= x + y + 6 = a(c(c(c(a(x,0())))),y) problem: a(a(y,0()),0()) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) DP Processor: DPs: c#(a(c(c(y)),x)) -> a#(x,0()) c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> a#(c(c(c(a(x,0())))),y) TRS: a(a(y,0()),0()) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) TDG Processor: DPs: c#(a(c(c(y)),x)) -> a#(x,0()) c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> a#(c(c(c(a(x,0())))),y) TRS: a(a(y,0()),0()) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) graph: c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) -> c#(a(c(c(y)),x)) -> a#(c(c(c(a(x,0())))),y) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) -> c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) -> c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) -> c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) -> c#(a(c(c(y)),x)) -> a#(x,0()) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) -> c#(a(c(c(y)),x)) -> a#(c(c(c(a(x,0())))),y) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) -> c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) -> c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) -> c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) -> c#(a(c(c(y)),x)) -> a#(x,0()) c#(a(c(c(y)),x)) -> c#(a(x,0())) -> c#(a(c(c(y)),x)) -> a#(c(c(c(a(x,0())))),y) c#(a(c(c(y)),x)) -> c#(a(x,0())) -> c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> c#(a(x,0())) -> c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) c#(a(c(c(y)),x)) -> c#(a(x,0())) -> c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(a(x,0())) -> c#(a(c(c(y)),x)) -> a#(x,0()) SCC Processor: #sccs: 1 #rules: 3 #arcs: 15/25 DPs: c#(a(c(c(y)),x)) -> c#(c(c(a(x,0())))) c#(a(c(c(y)),x)) -> c#(a(x,0())) c#(a(c(c(y)),x)) -> c#(c(a(x,0()))) TRS: a(a(y,0()),0()) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) Arctic Interpretation Processor: dimension: 1 usable rules: a(a(y,0()),0()) -> y c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) interpretation: [c#](x0) = x0 + 0,
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