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TRS Standard pair #516965704
details
property
value
status
complete
benchmark
jw41.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.28514099121 seconds
cpu usage
3.588209074
max memory
4.45046784E8
stage attributes
key
value
output-size
3692
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,f(a(),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,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) DP Processor: DPs: a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) TDG Processor: DPs: a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),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,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(x,a0()) -> f#(x,a1(a0())) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(x,a0()) -> f#(x,a1(a0())) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {1} transitions: f70() -> 4* a{2,#,0}(4,3) -> 1* f{#,0}(4,3) -> 1* a{0,0}() -> 2* a{1,0}(2) -> 3* problem: DPs: a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) a{2,#}(x,a0()) -> f#(f(f(x,a1(a0())),a0()),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(x,a0()) -> f(f(f(x,a1(a0())),a0()),a0()) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Bounds Processor: bound: 0 enrichment: match-dp automaton: final states: {6} transitions: a{2,0}(9,8) -> 10* a{2,0}(7,8) -> 17* a{2,0}(8,7) -> 11* f150() -> 9* f0(8,8) -> 17* f0(9,8) -> 10* f0(17,7) -> 10* f0(10,7) -> 11* f{#,0}(11,7) -> 6* a{0,0}() -> 7* a{1,0}(8) -> 10* a{1,0}(7) -> 8* problem: DPs: a{2,#}(x,a0()) -> f#(f(x,a1(a0())),a0()) f#(a1(x1),x2) -> a{2,#}(x1,x2)
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