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TRS Standard pair #487068717
details
property
value
status
complete
benchmark
jw30.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Zantema_05
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
0.999607 seconds
cpu usage
2.73993
user time
2.03336
system time
0.706573
max virtual memory
4272856.0
max residence set size
70044.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: f(f(a(),a()),x) -> f(f(x,a()),f(a(),f(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(a0(),x) -> f(f(x,a0()),a1(a1(a0()))) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) DP Processor: DPs: a{2,#}(a0(),x) -> f#(x,a0()) a{2,#}(a0(),x) -> f#(f(x,a0()),a1(a1(a0()))) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(a0(),x) -> f(f(x,a0()),a1(a1(a0()))) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) TDG Processor: DPs: a{2,#}(a0(),x) -> f#(x,a0()) a{2,#}(a0(),x) -> f#(f(x,a0()),a1(a1(a0()))) f#(a1(x1),x2) -> a{2,#}(x1,x2) TRS: a2(a0(),x) -> f(f(x,a0()),a1(a1(a0()))) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) graph: f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(a0(),x) -> f#(f(x,a0()),a1(a1(a0()))) f#(a1(x1),x2) -> a{2,#}(x1,x2) -> a{2,#}(a0(),x) -> f#(x,a0()) a{2,#}(a0(),x) -> f#(f(x,a0()),a1(a1(a0()))) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) a{2,#}(a0(),x) -> f#(x,a0()) -> f#(a1(x1),x2) -> a{2,#}(x1,x2) Bounds Processor: bound: 1 enrichment: match automaton: final states: {11,10,9,8,4,1} transitions: f{#,1}(6,12) -> 4* f{#,1}(17,16) -> 4* a{2,0}(3,3) -> 10* a{2,0}(5,2) -> 7* a{2,0}(2,6) -> 9,10 a{2,0}(3,2) -> 7* a{2,1}(5,12) -> 17* a{2,1}(2,6) -> 9,7,10 a{2,1}(5,2) -> 7* f70() -> 3* a{2,#,0}(3,3) -> 8* a{2,#,0}(5,2) -> 4,8 a{2,#,0}(2,6) -> 4,8 a{2,#,0}(3,2) -> 1* a{1,0}(2) -> 5* a{1,0}(3) -> 11* a{1,0}(5) -> 6* f{#,0}(6,2) -> 4* f{#,0}(3,2) -> 1* f{#,0}(7,6) -> 4* f{#,0}(2,2) -> 8* f0(7,6) -> 9* f0(3,2) -> 7* f0(2,2) -> 7* f0(6,2) -> 7* a{0,0}() -> 2* f1(17,16) -> 9* f1(6,12) -> 17* a{2,#,1}(2,6) -> 4,1 a{2,#,1}(5,2) -> 4,1 a{2,#,1}(5,12) -> 4,1 a{0,1}() -> 12* a{1,1}(12) -> 15* a{1,1}(2) -> 7* a{1,1}(15) -> 16* 4 -> 8* 8 -> 1* 1 -> 8* 5 -> 7* 9 -> 7,10 problem: DPs: TRS: a2(a0(),x) -> f(f(x,a0()),a1(a1(a0()))) f(a1(x1),x2) -> a2(x1,x2) f(a0(),x1) -> a1(x1) Qed
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