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TRS Standard pair #516964289
details
property
value
status
complete
benchmark
1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n031.star.cs.uiowa.edu
space
Beerendonk_07
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.897595882416 seconds
cpu usage
2.327928907
max memory
5.58628864E8
stage attributes
key
value
output-size
3481
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: cond(true(),x,y) -> cond(gr(x,y),p(x),y) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x Proof: DP Processor: DPs: cond#(true(),x,y) -> p#(x) cond#(true(),x,y) -> gr#(x,y) cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) gr#(s(x),s(y)) -> gr#(x,y) TRS: cond(true(),x,y) -> cond(gr(x,y),p(x),y) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x TDG Processor: DPs: cond#(true(),x,y) -> p#(x) cond#(true(),x,y) -> gr#(x,y) cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) gr#(s(x),s(y)) -> gr#(x,y) TRS: cond(true(),x,y) -> cond(gr(x,y),p(x),y) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x graph: gr#(s(x),s(y)) -> gr#(x,y) -> gr#(s(x),s(y)) -> gr#(x,y) cond#(true(),x,y) -> gr#(x,y) -> gr#(s(x),s(y)) -> gr#(x,y) cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) -> cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) -> cond#(true(),x,y) -> gr#(x,y) cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) -> cond#(true(),x,y) -> p#(x) SCC Processor: #sccs: 2 #rules: 2 #arcs: 5/16 DPs: cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) TRS: cond(true(),x,y) -> cond(gr(x,y),p(x),y) gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) p(0()) -> 0() p(s(x)) -> x Usable Rule Processor: DPs: cond#(true(),x,y) -> cond#(gr(x,y),p(x),y) TRS: p(0()) -> 0() p(s(x)) -> x gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) Arctic Interpretation Processor: dimension: 1 usable rules: p(0()) -> 0() p(s(x)) -> x gr(0(),x) -> false() gr(s(x),0()) -> true() gr(s(x),s(y)) -> gr(x,y) interpretation: [0] = 0, [p](x0) = -1x0 + 0, [false] = 0, [true] = 1, [cond#](x0, x1, x2) = x0 + -3x1 + 0, [s](x0) = 4x0 + 8, [gr](x0, x1) = -7x0 + 0 orientation: cond#(true(),x,y) = -3x + 1 >= -4x + 0 = cond#(gr(x,y),p(x),y) p(0()) = 0 >= 0 = 0()
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