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TRS Standard pair #487072787
details
property
value
status
complete
benchmark
tpa01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Secret_06_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.38426 seconds
cpu usage
4.32289
user time
3.19415
system time
1.12874
max virtual memory
5238256.0
max residence set size
71004.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) Proof: DP Processor: DPs: f#(y,f(y,x)) -> f#(a(),y) f#(y,f(y,x)) -> f#(f(a(),y),f(a(),y)) TRS: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) Arctic Interpretation Processor: dimension: 1 usable rules: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) interpretation: [a] = 0, [f](x0, x1) = 1x0 + 1x1 + 4, [f#](x0, x1) = x0 + x1 + 0 orientation: f#(y,f(y,x)) = 1x + 1y + 4 >= y + 0 = f#(a(),y) f#(y,f(y,x)) = 1x + 1y + 4 >= 1y + 4 = f#(f(a(),y),f(a(),y)) f(y,f(y,x)) = 2x + 2y + 5 >= 2y + 5 = f(f(a(),y),f(a(),y)) problem: DPs: f#(y,f(y,x)) -> f#(f(a(),y),f(a(),y)) TRS: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) Restore Modifier: DPs: f#(y,f(y,x)) -> f#(f(a(),y),f(a(),y)) TRS: f(y,f(y,x)) -> f(f(a(),y),f(a(),y)) Bounds Processor: bound: 2 enrichment: match-dp automaton: final states: {3} transitions: f{#,1}(1,1) -> 3* f{#,1}(24,24) -> 3* f{#,1}(35,1) -> 3* f{#,1}(35,24) -> 3* f{#,1}(24,35) -> 3* f{#,1}(24,1) -> 3* f{#,1}(1,24) -> 3* f{#,1}(1,35) -> 3* f{#,1}(35,35) -> 3* f{#,0}(1,2) -> 3* f{#,0}(2,1) -> 3* f{#,0}(22,22) -> 3* f{#,0}(2,2) -> 3* f{#,0}(22,1) -> 3* f{#,0}(22,35) -> 3* f{#,0}(2,22) -> 3* f{#,0}(24,22) -> 3* f{#,0}(35,2) -> 3* f{#,0}(24,2) -> 3* f{#,0}(2,35) -> 3* f{#,0}(22,24) -> 3* f{#,0}(22,2) -> 3* f{#,0}(1,22) -> 3* f{#,0}(2,24) -> 3* f{#,0}(35,22) -> 3* f1(22,22) -> 1* f1(22,2) -> 1* f1(22,24) -> 1* f1(2,35) -> 1* f1(2,1) -> 1* f1(22,35) -> 1* f1(24,1) -> 1* f1(1,35) -> 1* f1(24,24) -> 1* f1(2,24) -> 1* f1(35,24) -> 1* f1(22,1) -> 1* f1(1,1) -> 1* f1(35,35) -> 1* f1(2,22) -> 1* f1(24,35) -> 1* f1(2,2) -> 1* f1(35,1) -> 1* f1(1,24) -> 1* f0(35,2) -> 1* f0(1,2) -> 1* f0(24,22) -> 1* f0(1,22) -> 1* f0(24,2) -> 1* f0(35,22) -> 1* f{#,2}(23,19) -> 3* f{#,2}(23,23) -> 3* f{#,2}(21,24) -> 3* f{#,2}(23,24) -> 3* f{#,2}(24,19) -> 3* f{#,2}(24,24) -> 3*
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