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TRS Standard pair #516965664
details
property
value
status
complete
benchmark
jw19.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n097.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.707825899124 seconds
cpu usage
1.370365547
max memory
4.21625856E8
stage attributes
key
value
output-size
2208
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: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Proof: DP Processor: DPs: f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) EDG Processor: DPs: f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) graph: f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) -> f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(a(),x) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(f(a(),a()),a()) f#(x,f(a(),a())) -> f#(a(),x) -> f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) SCC Processor: #sccs: 1 #rules: 2 #arcs: 6/9 DPs: f#(x,f(a(),a())) -> f#(f(f(a(),a()),a()),f(a(),x)) f#(x,f(a(),a())) -> f#(a(),x) TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Bounds Processor: bound: 1 enrichment: match automaton: final states: {8,7,1} transitions: f0(6,5) -> 4* f0(6,4) -> 4,8 f0(3,6) -> 4* f0(5,3) -> 6* f0(3,2) -> 4* f0(3,3) -> 5* f1(11,9) -> 12* f1(9,9) -> 11* f1(9,6) -> 10* f1(12,10) -> 4* a0() -> 3* f{#,0}(3,3) -> 7* f{#,0}(3,2) -> 7* f{#,0}(6,4) -> 7,1 f{#,0}(3,6) -> 7* f{#,0}(6,5) -> 7* f30() -> 2* a1() -> 9* f{#,1}(9,6) -> 7,1 f{#,1}(12,10) -> 7,1 7 -> 1* problem: DPs: TRS: f(x,f(a(),a())) -> f(f(f(a(),a()),a()),f(a(),x)) Qed
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