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TRS Standard pair #516965359
details
property
value
status
complete
benchmark
jw37.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n115.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.775605916977 seconds
cpu usage
1.743993919
max memory
4.5236224E8
stage attributes
key
value
output-size
2644
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(a(),x),a()) -> f(f(f(x,a()),f(a(),a())),a()) Proof: Extended Uncurrying Processor: application symbol: f symbol table: a ==> a0/0 a1/1 a2/2 uncurry-rules: f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) eta-rules: problem: a2(x,a0()) -> f(f(f(x,a0()),a1(a0())),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) DP Processor: DPs: a{2,#}(x,a0()) -> f#(x,a0()) a{2,#}(x,a0()) -> f#(f(x,a0()),a1(a0())) a{2,#}(x,a0()) -> f#(f(f(x,a0()),a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a0()),a1(a0())),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) TDG Processor: DPs: a{2,#}(x,a0()) -> f#(x,a0()) a{2,#}(x,a0()) -> f#(f(x,a0()),a1(a0())) a{2,#}(x,a0()) -> f#(f(f(x,a0()),a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a0()),a1(a0())),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) graph: f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(f(f(x,a0()),a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(f(x,a0()),a1(a0())) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(x,a0()) a{2,#}(x,a0()) -> f#(f(f(x,a0()),a1(a0())),a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(f(x,a0()),a1(a0())) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(x,a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) Bounds Processor: bound: 1 enrichment: match automaton: final states: {12,11,10,9,7,4,1} transitions: f{#,1}(3,14) -> 1,9 a{2,0}(2,5) -> 8* a{2,0}(3,3) -> 11* a{2,0}(3,2) -> 6* f1(3,14) -> 6,3 f70() -> 3* a{2,#,0}(3,3) -> 9* a{2,#,0}(2,5) -> 4,1 a{2,#,0}(3,2) -> 1* a{1,0}(2) -> 5* a{1,0}(3) -> 12* f{#,0}(8,2) -> 1,7 f{#,0}(3,2) -> 1* f{#,0}(6,5) -> 1,4 f0(6,5) -> 8* f0(3,2) -> 6* f0(8,2) -> 6,10 a{0,0}() -> 2* a{0,1}() -> 14* a{2,#,1}(2,5) -> 4,1 a{1,1}(14) -> 14* a{2,1}(2,5) -> 8* 7 -> 9* 4 -> 9* 1 -> 9* 5 -> 6* 10 -> 11* problem: DPs: TRS: a2(x,a0()) -> f(f(f(x,a0()),a1(a0())),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Qed
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