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TRS Standard pair #516963789
details
property
value
status
complete
benchmark
jwcime2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n061.star.cs.uiowa.edu
space
Waldmann_06
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.776062965393 seconds
cpu usage
1.795463884
max memory
4.08252416E8
stage attributes
key
value
output-size
2636
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(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) Proof: DP Processor: DPs: f#(x,f(y,a())) -> f#(a(),a()) f#(x,f(y,a())) -> f#(f(a(),a()),y) f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a())) f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) EDG Processor: DPs: f#(x,f(y,a())) -> f#(a(),a()) f#(x,f(y,a())) -> f#(f(a(),a()),y) f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a())) f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) graph: f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) -> f#(x,f(y,a())) -> f#(a(),a()) f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) -> f#(x,f(y,a())) -> f#(f(a(),a()),y) f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) -> f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a())) f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) -> f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) f#(x,f(y,a())) -> f#(f(a(),a()),y) -> f#(x,f(y,a())) -> f#(a(),a()) f#(x,f(y,a())) -> f#(f(a(),a()),y) -> f#(x,f(y,a())) -> f#(f(a(),a()),y) f#(x,f(y,a())) -> f#(f(a(),a()),y) -> f#(x,f(y,a())) -> f#(f(f(a(),a()),y),h(a())) f#(x,f(y,a())) -> f#(f(a(),a()),y) -> f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) SCC Processor: #sccs: 1 #rules: 2 #arcs: 8/16 DPs: f#(x,f(y,a())) -> f#(f(f(f(a(),a()),y),h(a())),x) f#(x,f(y,a())) -> f#(f(a(),a()),y) TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) Bounds Processor: bound: 1 enrichment: match automaton: final states: {9,8,1} transitions: f{#,0}(7,7) -> 1* f{#,0}(7,5) -> 8* f{#,0}(5,2) -> 8* f{#,0}(5,3) -> 8* f{#,0}(13,7) -> 8* f{#,0}(7,2) -> 1* a0() -> 3* f0(7,2) -> 9* f0(7,7) -> 9* f0(6,4) -> 7* f0(3,3) -> 5* f0(5,2) -> 6* f0(13,7) -> 6* f0(12,4) -> 13* f0(7,5) -> 6* f0(5,3) -> 12* f{#,1}(16,3) -> 8,1 f{#,1}(18,7) -> 8,1 h1(14) -> 15* f40() -> 2* h0(3) -> 4* a1() -> 14* f1(18,7) -> 6* f1(17,15) -> 18* f1(16,3) -> 17* f1(14,14) -> 16* 8 -> 1* problem: DPs: TRS: f(x,f(y,a())) -> f(f(f(f(a(),a()),y),h(a())),x) Qed
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