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TRS Standard pair #516961069
details
property
value
status
complete
benchmark
teparla1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.756483793259 seconds
cpu usage
1.513430504
max memory
4.72989696E8
stage attributes
key
value
output-size
2335
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) Proof: DP Processor: DPs: f#(f(y,z),f(x,f(a(),x))) -> f#(a(),y) f#(f(y,z),f(x,f(a(),x))) -> f#(x,a()) f#(f(y,z),f(x,f(a(),x))) -> f#(a(),z) f#(f(y,z),f(x,f(a(),x))) -> f#(f(a(),z),f(x,a())) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) TRS: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) EDG Processor: DPs: f#(f(y,z),f(x,f(a(),x))) -> f#(a(),y) f#(f(y,z),f(x,f(a(),x))) -> f#(x,a()) f#(f(y,z),f(x,f(a(),x))) -> f#(a(),z) f#(f(y,z),f(x,f(a(),x))) -> f#(f(a(),z),f(x,a())) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) TRS: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) graph: f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) -> f#(f(y,z),f(x,f(a(),x))) -> f#(a(),y) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) -> f#(f(y,z),f(x,f(a(),x))) -> f#(x,a()) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) -> f#(f(y,z),f(x,f(a(),x))) -> f#(a(),z) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) -> f#(f(y,z),f(x,f(a(),x))) -> f#(f(a(),z),f(x,a())) f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) -> f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) SCC Processor: #sccs: 1 #rules: 1 #arcs: 5/25 DPs: f#(f(y,z),f(x,f(a(),x))) -> f#(f(f(a(),z),f(x,a())),f(a(),y)) TRS: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f0(6,5) -> 7* f0(3,5) -> 6* f0(3,6) -> 4* f0(5,3) -> 5* f0(3,2) -> 16*,6,4 f0(3,3) -> 5* f0(16,5) -> 7* f0(2,3) -> 5* f0(3,16) -> 4* a0() -> 3* f{#,0}(7,16) -> 1* f{#,0}(7,4) -> 1* f30() -> 2* problem: DPs: TRS: f(f(y,z),f(x,f(a(),x))) -> f(f(f(a(),z),f(x,a())),f(a(),y)) Qed
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