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TRS Standard pair #516966654
details
property
value
status
complete
benchmark
4.13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n064.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.834857940674 seconds
cpu usage
1.950116819
max memory
4.51043328E8
stage attributes
key
value
output-size
1803
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: -(0(),y) -> 0() -(x,0()) -> x -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0()) p(0()) -> 0() p(s(x)) -> x Proof: DP Processor: DPs: -#(x,s(y)) -> p#(s(y)) -#(x,s(y)) -> -#(x,p(s(y))) TRS: -(0(),y) -> 0() -(x,0()) -> x -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0()) p(0()) -> 0() p(s(x)) -> x TDG Processor: DPs: -#(x,s(y)) -> p#(s(y)) -#(x,s(y)) -> -#(x,p(s(y))) TRS: -(0(),y) -> 0() -(x,0()) -> x -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0()) p(0()) -> 0() p(s(x)) -> x graph: -#(x,s(y)) -> -#(x,p(s(y))) -> -#(x,s(y)) -> -#(x,p(s(y))) -#(x,s(y)) -> -#(x,p(s(y))) -> -#(x,s(y)) -> p#(s(y)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: -#(x,s(y)) -> -#(x,p(s(y))) TRS: -(0(),y) -> 0() -(x,0()) -> x -(x,s(y)) -> if(greater(x,s(y)),s(-(x,p(s(y)))),0()) p(0()) -> 0() p(s(x)) -> x Usable Rule Processor: DPs: -#(x,s(y)) -> -#(x,p(s(y))) TRS: p(s(x)) -> x Semantic Labeling Processor: dimension: 2 usable rules: interpretation: [1 0] [1] [p](x0) = [1 0]x0 + [0], [1 1] [0] [s](x0) = [1 1]x0 + [1] labeled: -# usable (for model): -# s p argument filtering: pi(s) = 0 pi(p) = [] pi(-#) = [] precedence: -# ~ p ~ s problem: DPs: TRS: p(s(x)) -> x Qed
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