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TRS Stand 20472 pair #381712828
details
property
value
status
complete
benchmark
15.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.800342082977 seconds
cpu usage
1.833062294
max memory
1.78225152E8
stage attributes
key
value
output-size
2016
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: f(s(x)) -> s(s(f(p(s(x))))) f(0()) -> 0() p(s(x)) -> x Proof: Matrix Interpretation Processor: dim=3 interpretation: [0] [0] = [0] [1], [1 0 0] [0] [p](x0) = [1 0 0]x0 + [1] [0 0 1] [0], [1 0 1] [f](x0) = [0 0 0]x0 [0 0 1] , [1 1 0] [s](x0) = [0 0 0]x0 [0 0 1] orientation: [1 1 1] [1 1 1] f(s(x)) = [0 0 0]x >= [0 0 0]x = s(s(f(p(s(x))))) [0 0 1] [0 0 1] [1] [0] f(0()) = [0] >= [0] = 0() [1] [1] [1 1 0] [0] p(s(x)) = [1 1 0]x + [1] >= x = x [0 0 1] [0] problem: f(s(x)) -> s(s(f(p(s(x))))) p(s(x)) -> x DP Processor: DPs: f#(s(x)) -> p#(s(x)) f#(s(x)) -> f#(p(s(x))) TRS: f(s(x)) -> s(s(f(p(s(x))))) p(s(x)) -> x TDG Processor: DPs: f#(s(x)) -> p#(s(x)) f#(s(x)) -> f#(p(s(x))) TRS: f(s(x)) -> s(s(f(p(s(x))))) p(s(x)) -> x graph: f#(s(x)) -> f#(p(s(x))) -> f#(s(x)) -> f#(p(s(x))) f#(s(x)) -> f#(p(s(x))) -> f#(s(x)) -> p#(s(x)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 2/4 DPs: f#(s(x)) -> f#(p(s(x))) TRS: f(s(x)) -> s(s(f(p(s(x))))) p(s(x)) -> x Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f{#,0}(4) -> 1* p0(3) -> 4* s0(2) -> 3* f60() -> 2* 2 -> 4* problem: DPs: TRS: f(s(x)) -> s(s(f(p(s(x))))) p(s(x)) -> x Qed
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