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SRS Standard pair #487085210
details
property
value
status
complete
benchmark
size-12-alpha-3-num-465.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
42.9331 seconds
cpu usage
167.857
user time
165.277
system time
2.58023
max virtual memory
1.1646124E7
max residence set size
116436.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) Proof: DP Processor: DPs: a#(x1) -> c#(b(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> a#(c(c(x1))) TRS: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) TDG Processor: DPs: a#(x1) -> c#(b(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> a#(c(c(x1))) TRS: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) graph: c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> a#(c(c(x1))) -> a#(x1) -> c#(b(x1)) a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> a#(c(c(x1))) a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> c#(c(x1)) a#(x1) -> c#(b(x1)) -> c#(c(b(x1))) -> c#(x1) EDG Processor: DPs: a#(x1) -> c#(b(x1)) c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> a#(c(c(x1))) TRS: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) graph: c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(c(x1)) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(x1) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) -> c#(c(b(x1))) -> a#(c(c(x1))) c#(c(b(x1))) -> a#(c(c(x1))) -> a#(x1) -> c#(b(x1)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 7/16 DPs: c#(c(b(x1))) -> c#(c(x1)) c#(c(b(x1))) -> c#(x1) TRS: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) Arctic Interpretation Processor: dimension: 2 usable rules: a(x1) -> b(c(b(x1))) a(b(x1)) -> x1 c(c(b(x1))) -> a(c(c(x1))) interpretation: [c#](x0) = [-& 0 ]x0 + [0], [1 0 ] [1] [b](x0) = [0 -&]x0 + [0], [1 0 ] [1] [a](x0) = [0 -&]x0 + [0], [-& 0 ] [0] [c](x0) = [0 -&]x0 + [0] orientation: c#(c(b(x1))) = [1 0]x1 + [1] >= [0 -&]x1 + [0] = c#(c(x1)) c#(c(b(x1))) = [1 0]x1 + [1] >= [-& 0 ]x1 + [0] = c#(x1) [1 0 ] [1] [1 0 ] [1] a(x1) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = b(c(b(x1))) [2 1] [2] a(b(x1)) = [1 0]x1 + [1] >= x1 = x1 [1 0 ] [1] [1 0 ] [1] c(c(b(x1))) = [0 -&]x1 + [0] >= [0 -&]x1 + [0] = a(c(c(x1))) problem: DPs:
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